diff --git a/week5/Lecture13_TrainingDeepNNs.ipynb b/week5/Lecture13_TrainingDeepNNs.ipynb new file mode 100644 index 0000000..3510020 --- /dev/null +++ b/week5/Lecture13_TrainingDeepNNs.ipynb @@ -0,0 +1,11929 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + " # Lecture 13: Training deep neural networks" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "skip" + } + }, + "source": [ + "![](https://www.tensorflow.org/images/colab_logo_32px.png)\n", + "[Run in colab](https://colab.research.google.com/drive/1ftihrW-_2cIzCkA3TYScFgoOe1bQwTrT)" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": { + "execution": { + "iopub.execute_input": "2024-01-10T00:22:55.831361Z", + "iopub.status.busy": "2024-01-10T00:22:55.830970Z", + "iopub.status.idle": "2024-01-10T00:22:55.838672Z", + "shell.execute_reply": "2024-01-10T00:22:55.838114Z" + }, + "slideshow": { + "slide_type": "skip" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Last executed: 2024-01-10 00:22:55\n" + ] + } + ], + "source": [ + "import datetime\n", + "now = datetime.datetime.now()\n", + "print(\"Last executed: \" + now.strftime(\"%Y-%m-%d %H:%M:%S\"))" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": { + "execution": { + "iopub.execute_input": "2024-01-10T00:22:55.878794Z", + "iopub.status.busy": "2024-01-10T00:22:55.878339Z", + "iopub.status.idle": "2024-01-10T00:22:56.288229Z", + "shell.execute_reply": "2024-01-10T00:22:56.287528Z" + }, + "slideshow": { + "slide_type": "skip" + } + }, + "outputs": [], + "source": [ + "# Common imports\n", + "import numpy as np\n", + "import os\n", + "\n", + "# to make this notebook's output stable across runs\n", + "def reset_state(seed=42):\n", + " tf.keras.backend.clear_session()\n", + " tf.random.set_seed(seed)\n", + " np.random.seed(seed)\n", + "\n", + "# To plot pretty figures\n", + "%matplotlib inline\n", + "import matplotlib as mpl\n", + "import matplotlib.pyplot as plt\n", + "mpl.rc('axes', labelsize=14)\n", + "mpl.rc('xtick', labelsize=12)\n", + "mpl.rc('ytick', labelsize=12)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "## Vanishing and exploding gradients" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Training typically relies on gradients.\n", + "\n", + "*Vanishing gradients problem*: For deep networks, gradients in lower layers can become very small. Hence, corresponding weights are not updated during training.\n", + "\n", + "*Exploding gradients problem*: In some situations (typically recurrent neural networks) gradients can become very large. Hence, weight updates are very large and the training algorithm may not converge.\n", + "\n", + "In general deep neural networks can suffer from *unstable gradients*." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "### Problematic activation functions\n", + "\n", + "One common cause of vanishing gradients in the past was the use of the sigmoid activation function (and unit Gaussian initialisation)." + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": { + "execution": { + "iopub.execute_input": "2024-01-10T00:22:56.291811Z", + "iopub.status.busy": "2024-01-10T00:22:56.291496Z", + "iopub.status.idle": "2024-01-10T00:22:56.295905Z", + "shell.execute_reply": "2024-01-10T00:22:56.295221Z" + } + }, + "outputs": [], + "source": [ + "def logit(z):\n", + " return 1 / (1 + np.exp(-z))" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": { + "execution": { + "iopub.execute_input": "2024-01-10T00:22:56.299923Z", + "iopub.status.busy": "2024-01-10T00:22:56.298543Z", + "iopub.status.idle": "2024-01-10T00:22:56.599443Z", + "shell.execute_reply": "2024-01-10T00:22:56.598785Z" + } + }, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "z = np.linspace(-5, 5, 200)\n", + " \n", + "plt.figure(figsize=(8,4))\n", + "plt.plot([-5, 5], [0, 0], 'k-')\n", + "plt.plot([-5, 5], [1, 1], 'k--')\n", + "plt.plot([0, 0], [-0.2, 1.2], 'k-')\n", + "plt.plot([-5, 5], [-3/4, 7/4], 'g--')\n", + "plt.plot(z, logit(z), \"b-\", linewidth=2)\n", + "props = dict(facecolor='black', shrink=0.1)\n", + "plt.annotate('Saturating', xytext=(3.5, 0.7), xy=(5, 1), arrowprops=props, fontsize=14, ha=\"center\")\n", + "plt.annotate('Saturating', xytext=(-3.5, 0.3), xy=(-5, 0), arrowprops=props, fontsize=14, ha=\"center\")\n", + "plt.annotate('Linear', xytext=(2, 0.2), xy=(0, 0.5), arrowprops=props, fontsize=14, ha=\"center\")\n", + "plt.grid(True)\n", + "plt.title(\"Sigmoid activation function\", fontsize=14)\n", + "plt.axis([-5, 5, -0.2, 1.2]);" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Variance of outputs grows at each layer. Final layers essentially saturate. Gradients on final layers then very small and when propagate gradients back with back-propagation then get vanishing gradients." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "### Weight initialisation" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "To avoid this problem need signals and gradents to *not* decay as propagating through network.\n", + "\n", + "Avoid decaying signals/gradients by promoting equal variance at outputs and inputs of layer." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "Can be promoted by random initialisation of weights to follow Gaussian with standard deviation:\n", + "\n", + "\\begin{eqnarray}\n", + "\\text{Sigmoid activation:} \\quad\\quad & \\sigma = \\sqrt{\\frac{2}{n_{\\rm inputs}+n_{\\rm outputs}}} \\\\\n", + "\\text{Hyperbolic tangent activation:} \\quad\\quad & \\sigma = 4\\sqrt{\\frac{2}{n_{\\rm inputs}+n_{\\rm outputs}}} \\\\\n", + "\\text{ReLU activation:} \\quad\\quad & \\sigma = \\sqrt{2}\\sqrt{\\frac{2}{n_{\\rm inputs}+n_{\\rm outputs}}} \\\\\n", + "\\end{eqnarray}\n", + "\n", + "where $n_{\\rm inputs}$ and $n_{\\rm outputs}$ are the number of input and output nodes, respectively, for the layer." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "There are a lot of different weight initialisation strategies." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "#### Weight initialisation in TensorFlow" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": { + "execution": { + "iopub.execute_input": "2024-01-10T00:22:56.603200Z", + "iopub.status.busy": "2024-01-10T00:22:56.602586Z", + "iopub.status.idle": "2024-01-10T00:22:58.735681Z", + "shell.execute_reply": "2024-01-10T00:22:58.734962Z" + } + }, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "2024-01-10 00:22:56.772636: I tensorflow/tsl/cuda/cudart_stub.cc:28] Could not find cuda drivers on your machine, GPU will not be used.\n", + "2024-01-10 00:22:56.822106: I tensorflow/tsl/cuda/cudart_stub.cc:28] Could not find cuda drivers on your machine, GPU will not be used.\n", + "2024-01-10 00:22:56.823186: I tensorflow/core/platform/cpu_feature_guard.cc:182] This TensorFlow binary is optimized to use available CPU instructions in performance-critical operations.\n", + "To enable the following instructions: AVX2 AVX512F FMA, in other operations, rebuild TensorFlow with the appropriate compiler flags.\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "2024-01-10 00:22:57.633927: W tensorflow/compiler/tf2tensorrt/utils/py_utils.cc:38] TF-TRT Warning: Could not find TensorRT\n" + ] + } + ], + "source": [ + "import tensorflow as tf\n", + "from tensorflow import keras" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": { + "execution": { + "iopub.execute_input": "2024-01-10T00:22:58.739586Z", + "iopub.status.busy": "2024-01-10T00:22:58.738814Z", + "iopub.status.idle": "2024-01-10T00:22:58.757156Z", + "shell.execute_reply": "2024-01-10T00:22:58.756535Z" + } + }, + "outputs": [ + { + "data": { + "text/plain": [ + "['Constant',\n", + " 'GlorotNormal',\n", + " 'GlorotUniform',\n", + " 'HeNormal',\n", + " 'HeUniform',\n", + " 'Identity',\n", + " 'Initializer',\n", + " 'LecunNormal',\n", + " 'LecunUniform',\n", + " 'Ones',\n", + " 'Orthogonal',\n", + " 'RandomNormal',\n", + " 'RandomUniform',\n", + " 'TruncatedNormal',\n", + " 'VarianceScaling',\n", + " 'Zeros',\n", + " 'constant',\n", + " 'deserialize',\n", + " 'get',\n", + " 'glorot_normal',\n", + " 'glorot_uniform',\n", + " 'he_normal',\n", + " 'he_uniform',\n", + " 'identity',\n", + " 'lecun_normal',\n", + " 'lecun_uniform',\n", + " 'ones',\n", + " 'orthogonal',\n", + " 'random_normal',\n", + " 'random_uniform',\n", + " 'serialize',\n", + " 'truncated_normal',\n", + " 'variance_scaling',\n", + " 'zeros']" + ] + }, + "execution_count": 6, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "[name for name in dir(keras.initializers) if not name.startswith(\"_\")]" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "Can often simply set initialiser when defining layer." + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": { + "execution": { + "iopub.execute_input": "2024-01-10T00:22:58.760271Z", + "iopub.status.busy": "2024-01-10T00:22:58.759695Z", + "iopub.status.idle": "2024-01-10T00:22:58.772055Z", + "shell.execute_reply": "2024-01-10T00:22:58.771514Z" + } + }, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 7, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "reset_state()\n", + "\n", + "keras.layers.Dense(10, activation=\"relu\", kernel_initializer=\"he_normal\")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Or can set up a `VarianceScaling` object directly." + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": { + "execution": { + "iopub.execute_input": "2024-01-10T00:22:58.775092Z", + "iopub.status.busy": "2024-01-10T00:22:58.774709Z", + "iopub.status.idle": "2024-01-10T00:22:58.780920Z", + "shell.execute_reply": "2024-01-10T00:22:58.780386Z" + } + }, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 8, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "he_avg_init = keras.initializers.VarianceScaling(scale=2., mode='fan_avg', distribution='uniform')\n", + "keras.layers.Dense(10, activation=\"sigmoid\", kernel_initializer=he_avg_init)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "### Non-saturating activation functions" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "ReLU activation behaves much better than the sigmoid in deep networks since it does not saturate for positive values (and it is fast to compute)." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "fragment" + } + }, + "source": [ + "However, the ReLU does suffer from the *dying neuron* problem.\n", + "\n", + "In this senario neurons effectively die and only output zero. The neuron is unlikely to come back to life since the gradient of the ReLU activation function is zero for negative inputs." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "#### Leaky ReLU\n", + "\n", + "The *leaky ReLU* avoids this problem and is defined by\n", + "\n", + "$$\n", + "\\text{LeakyReLU}_\\alpha(z) = \\max(\\alpha z, z),\n", + "$$\n", + "\n", + "where the hyperparameter $\\alpha$ defines how much the leaky ReLU leaks (typically $\\alpha=0.01$)." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "Let's plot the Leaky ReLU activation function for $\\alpha=0.05$." + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": { + "execution": { + "iopub.execute_input": "2024-01-10T00:22:58.784177Z", + "iopub.status.busy": "2024-01-10T00:22:58.783818Z", + "iopub.status.idle": "2024-01-10T00:22:58.786852Z", + "shell.execute_reply": "2024-01-10T00:22:58.786289Z" + } + }, + "outputs": [], + "source": [ + "def leaky_relu(z, alpha=0.01):\n", + " return np.maximum(alpha*z, z)" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": { + "execution": { + "iopub.execute_input": "2024-01-10T00:22:58.789638Z", + "iopub.status.busy": "2024-01-10T00:22:58.789267Z", + "iopub.status.idle": "2024-01-10T00:22:58.987976Z", + "shell.execute_reply": "2024-01-10T00:22:58.987228Z" + } + }, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "z = np.linspace(-5, 5, 200)\n", + "\n", + "plt.figure(figsize=(8,4))\n", + "plt.plot(z, leaky_relu(z, 0.05), \"b-\", linewidth=2)\n", + "plt.plot([-5, 5], [0, 0], 'k-')\n", + "plt.plot([0, 0], [-0.5, 4.2], 'k-')\n", + "plt.grid(True)\n", + "props = dict(facecolor='black', shrink=0.1)\n", + "plt.annotate('Leak', xytext=(-3.5, 0.5), xy=(-5, -0.2), arrowprops=props, fontsize=14, ha=\"center\")\n", + "plt.title(\"Leaky ReLU activation function\", fontsize=14)\n", + "plt.axis([-5, 5, -0.5, 4.2]);" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "#### ELU\n", + "\n", + "Another alternative is the *exponental linear unit* (ELU)." + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": { + "execution": { + "iopub.execute_input": "2024-01-10T00:22:58.991306Z", + "iopub.status.busy": "2024-01-10T00:22:58.990702Z", + "iopub.status.idle": "2024-01-10T00:22:58.994461Z", + "shell.execute_reply": "2024-01-10T00:22:58.993777Z" + } + }, + "outputs": [], + "source": [ + "def elu(z, alpha=1):\n", + " return np.where(z < 0, alpha * (np.exp(z) - 1), z)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Let's plot the ELU activation function for $\\alpha=1$." + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": { + "execution": { + "iopub.execute_input": "2024-01-10T00:22:58.997558Z", + "iopub.status.busy": "2024-01-10T00:22:58.997119Z", + "iopub.status.idle": "2024-01-10T00:22:59.226483Z", + "shell.execute_reply": "2024-01-10T00:22:59.225800Z" + } + }, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(8,4))\n", + "plt.plot(z, elu(z), \"b-\", linewidth=2)\n", + "plt.plot([-5, 5], [0, 0], 'k-')\n", + "plt.plot([-5, 5], [-1, -1], 'k--')\n", + "plt.plot([0, 0], [-2.2, 3.2], 'k-')\n", + "plt.grid(True)\n", + "plt.title(r\"ELU activation function ($\\alpha=1$)\", fontsize=14)\n", + "plt.axis([-5, 5, -2.2, 3.2]);" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "Properties:\n", + "- Non-zero gradient for $z<0$ to avoid dying neuron issue.\n", + "- Smooth so gradients well defined.\n", + "- But is slower to compute." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "#### Activations functions in TensorFlow" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "TensorFlow supports a lot of activation functions." + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": { + "execution": { + "iopub.execute_input": "2024-01-10T00:22:59.229844Z", + "iopub.status.busy": "2024-01-10T00:22:59.229364Z", + "iopub.status.idle": "2024-01-10T00:22:59.235862Z", + "shell.execute_reply": "2024-01-10T00:22:59.235200Z" + } + }, + "outputs": [ + { + "data": { + "text/plain": [ + "['deserialize',\n", + " 'elu',\n", + " 'exponential',\n", + " 'gelu',\n", + " 'get',\n", + " 'hard_sigmoid',\n", + " 'linear',\n", + " 'mish',\n", + " 'relu',\n", + " 'selu',\n", + " 'serialize',\n", + " 'sigmoid',\n", + " 'softmax',\n", + " 'softplus',\n", + " 'softsign',\n", + " 'swish',\n", + " 'tanh']" + ] + }, + "execution_count": 13, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "[m for m in dir(keras.activations) if not m.startswith(\"_\")]" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "Can again simply set when definiting layer or can construct directly." + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": { + "execution": { + "iopub.execute_input": "2024-01-10T00:22:59.239248Z", + "iopub.status.busy": "2024-01-10T00:22:59.238501Z", + "iopub.status.idle": "2024-01-10T00:22:59.247878Z", + "shell.execute_reply": "2024-01-10T00:22:59.247198Z" + } + }, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 14, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "reset_state()\n", + "keras.layers.Dense(10, activation=\"elu\", name=\"hidden1\")" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": { + "execution": { + "iopub.execute_input": "2024-01-10T00:22:59.250824Z", + "iopub.status.busy": "2024-01-10T00:22:59.250376Z", + "iopub.status.idle": "2024-01-10T00:22:59.259860Z", + "shell.execute_reply": "2024-01-10T00:22:59.259199Z" + } + }, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 15, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "reset_state()\n", + "keras.layers.Dense(10, activation=keras.layers.Activation(\"elu\"), name=\"hidden1\")" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "## Batch normalisation" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "While weight normalisation can reduce gradient problems at the beginning of training, it does not guarantee that these problems won't resurface during training.\n", + "\n", + "*Batch normalisation* adds normalisation during training to address these issues." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "fragment" + } + }, + "source": [ + "Consists of zero-centering and normalising inputs just before the activation function, followed by shifting and scaling the result. The shift and scale are considered additional parameters that are learnt during training.\n", + "\n", + "This approach allows training to select the appropriate scale and shift (mean) for each layer." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "The mean and standard deviation of the unnormalised inputs are computed for each mini-batch, hence the name *batch normalisation*." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "fragment" + } + }, + "source": [ + "When the trained network is applied to the test set there are no batches, so instead a running mean and standard deviation computed on the *training* set are used." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "### Batch normalisation in TensorFlow" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": { + "execution": { + "iopub.execute_input": "2024-01-10T00:22:59.263208Z", + "iopub.status.busy": "2024-01-10T00:22:59.262658Z", + "iopub.status.idle": "2024-01-10T00:22:59.400527Z", + "shell.execute_reply": "2024-01-10T00:22:59.399918Z" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Model: \"sequential\"\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "_________________________________________________________________\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + " Layer (type) Output Shape Param # \n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "=================================================================\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + " flatten (Flatten) (None, 784) 0 \n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + " \n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + " batch_normalization (Batch (None, 784) 3136 \n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + " Normalization) \n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + " \n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + " dense (Dense) (None, 300) 235500 \n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + " \n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + " batch_normalization_1 (Bat (None, 300) 1200 \n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + " chNormalization) \n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + " \n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + " dense_1 (Dense) (None, 100) 30100 \n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + " \n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + " batch_normalization_2 (Bat (None, 100) 400 \n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + " chNormalization) \n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + " \n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + " dense_2 (Dense) (None, 10) 1010 \n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + " \n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "=================================================================\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Total params: 271346 (1.04 MB)\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Trainable params: 268978 (1.03 MB)\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Non-trainable params: 2368 (9.25 KB)\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "_________________________________________________________________\n" + ] + } + ], + "source": [ + "reset_state()\n", + "\n", + "import tensorflow as tf\n", + "\n", + "n_inputs = 28 * 28\n", + "n_hidden1 = 300\n", + "n_hidden2 = 100\n", + "n_outputs = 10\n", + "\n", + "model = keras.models.Sequential([\n", + "keras.layers.Flatten(input_shape=[28, 28]), keras.layers.BatchNormalization(),\n", + "keras.layers.Dense(n_hidden1, activation=\"elu\", kernel_initializer=\"he_normal\"), keras.layers.BatchNormalization(),\n", + "keras.layers.Dense(n_hidden2, activation=\"elu\", kernel_initializer=\"he_normal\"), keras.layers.BatchNormalization(),\n", + "keras.layers.Dense(n_outputs, activation=\"softmax\")\n", + "])\n", + "\n", + "model.summary()" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": { + "execution": { + "iopub.execute_input": "2024-01-10T00:22:59.410248Z", + "iopub.status.busy": "2024-01-10T00:22:59.410005Z", + "iopub.status.idle": "2024-01-10T00:22:59.417708Z", + "shell.execute_reply": "2024-01-10T00:22:59.417114Z" + } + }, + "outputs": [ + { + "data": { + "text/plain": [ + "[('batch_normalization/gamma:0', True),\n", + " ('batch_normalization/beta:0', True),\n", + " ('batch_normalization/moving_mean:0', False),\n", + " ('batch_normalization/moving_variance:0', False)]" + ] + }, + "execution_count": 17, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "[(var.name, var.trainable) for var in model.layers[1].variables]" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + }, + "tags": [ + "exercise_pointer" + ] + }, + "source": [ + "**Exercises:** *You can now complete Exercise 1 in the exercises associated with this lecture.*" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "## Pretraining and transfer learning" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "A deep network trained for one task can often be adapted for a similar task." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "Reuse lower layers of network trained for another task.\n", + "\n", + "\n", + "\n", + "[Credit: Geron]" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "fragment" + } + }, + "source": [ + "For transfer learning to be successful the data must have similar low-level features." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "### Reusing a Keras model" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Let's work through a transfer learning example." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "Split the fashion MNIST training set into two:\n", + "* `X_train_A`: all images of all items, except sandals and shirts (classes 5 and 6).\n", + "* `X_train_B`: first 200 images of sandals or shirts.\n", + "\n", + "The validation set and the test set are split similarly, but without restricting the number of images." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "Dataset B corresponds to a simple problem (binary classification) but we only have a small number of training instances. \n", + "\n", + "Dataset A corresponds to a more difficult problem (classification between 8 classes) but we have much more data.\n", + "\n", + "We will attempt to transfer knowledge from setting A to B, since classes in set A (sneakers, ankle boots, coats, t-shirts, etc.) are somewhat similar to classes in set B (sandals and shirts). " + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "fragment" + } + }, + "source": [ + "Aside: Note that only patterns that occur in the same location can be reused since we are using `Dense` layers (CNNs will be much more effective in tranferring information detected anywhere in the image due to their translational equivariance properties, as we'll see in the CNN lecture)." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "#### Set up data" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": { + "execution": { + "iopub.execute_input": "2024-01-10T00:22:59.421321Z", + "iopub.status.busy": "2024-01-10T00:22:59.421081Z", + "iopub.status.idle": "2024-01-10T00:23:00.131437Z", + "shell.execute_reply": "2024-01-10T00:23:00.130720Z" + }, + "slideshow": { + "slide_type": "-" + } + }, + "outputs": [], + "source": [ + "(X_train_full, y_train_full), (X_test, y_test) = keras.datasets.fashion_mnist.load_data()\n", + "X_train_full = X_train_full / 255.0\n", + "X_test = X_test / 255.0\n", + "X_valid, X_train = X_train_full[:5000], X_train_full[5000:]\n", + "y_valid, y_train = y_train_full[:5000], y_train_full[5000:]\n", + "\n", + "def split_dataset(X, y):\n", + " y_5_or_6 = (y == 5) | (y == 6) # sandals or shirts\n", + " y_A = y[~y_5_or_6]\n", + " y_A[y_A > 6] -= 2 # class indices 7, 8, 9 should be moved to 5, 6, 7\n", + " y_B = (y[y_5_or_6] == 6).astype(np.float32) # binary classification task: is it a shirt (class 6)?\n", + " return ((X[~y_5_or_6], y_A),\n", + " (X[y_5_or_6], y_B))\n", + "\n", + "(X_train_A, y_train_A), (X_train_B, y_train_B) = split_dataset(X_train, y_train)\n", + "(X_valid_A, y_valid_A), (X_valid_B, y_valid_B) = split_dataset(X_valid, y_valid)\n", + "(X_test_A, y_test_A), (X_test_B, y_test_B) = split_dataset(X_test, y_test)\n", + "X_train_B = X_train_B[:200]\n", + "y_train_B = y_train_B[:200]" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": { + "execution": { + "iopub.execute_input": "2024-01-10T00:23:00.135205Z", + "iopub.status.busy": "2024-01-10T00:23:00.134695Z", + "iopub.status.idle": "2024-01-10T00:23:00.141530Z", + "shell.execute_reply": "2024-01-10T00:23:00.140918Z" + }, + "slideshow": { + "slide_type": "subslide" + } + }, + "outputs": [ + { + "data": { + "text/plain": [ + "((43986, 28, 28), (200, 28, 28))" + ] + }, + "execution_count": 19, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "X_train_A.shape, X_train_B.shape" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": { + "execution": { + "iopub.execute_input": "2024-01-10T00:23:00.144646Z", + "iopub.status.busy": "2024-01-10T00:23:00.144207Z", + "iopub.status.idle": "2024-01-10T00:23:00.151271Z", + "shell.execute_reply": "2024-01-10T00:23:00.150672Z" + } + }, + "outputs": [ + { + "data": { + "text/plain": [ + "array([4, 0, 5, 7, 7, 7, 4, 4, 3, 4, 0, 1, 6, 3, 4, 3, 2, 6, 5, 3, 4, 5,\n", + " 1, 3, 4, 2, 0, 6, 7, 1], dtype=uint8)" + ] + }, + "execution_count": 20, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "y_train_A[:30]" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": { + "execution": { + "iopub.execute_input": "2024-01-10T00:23:00.154309Z", + "iopub.status.busy": "2024-01-10T00:23:00.153858Z", + "iopub.status.idle": "2024-01-10T00:23:00.160738Z", + "shell.execute_reply": "2024-01-10T00:23:00.160192Z" + } + }, + "outputs": [ + { + "data": { + "text/plain": [ + "array([1., 1., 0., 0., 0., 0., 1., 1., 1., 0., 0., 1., 1., 0., 0., 0., 0.,\n", + " 0., 0., 1., 1., 0., 0., 1., 1., 0., 1., 1., 1., 1.], dtype=float32)" + ] + }, + "execution_count": 21, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "y_train_B[:30]" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "#### Define, compile, fit and save model on dataset A" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": { + "execution": { + "iopub.execute_input": "2024-01-10T00:23:00.163573Z", + "iopub.status.busy": "2024-01-10T00:23:00.163211Z", + "iopub.status.idle": "2024-01-10T00:23:00.242899Z", + "shell.execute_reply": "2024-01-10T00:23:00.242202Z" + } + }, + "outputs": [], + "source": [ + "reset_state()\n", + "model_A = keras.models.Sequential()\n", + "model_A.add(keras.layers.Flatten(input_shape=[28, 28]))\n", + "for n_hidden in (300, 100, 50, 50, 50):\n", + " model_A.add(keras.layers.Dense(n_hidden, activation=\"selu\"))\n", + "model_A.add(keras.layers.Dense(8, activation=\"softmax\"))" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": { + "execution": { + "iopub.execute_input": "2024-01-10T00:23:00.246777Z", + "iopub.status.busy": "2024-01-10T00:23:00.246306Z", + "iopub.status.idle": "2024-01-10T00:23:00.260897Z", + "shell.execute_reply": "2024-01-10T00:23:00.260316Z" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Model: \"sequential\"\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "_________________________________________________________________\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + " Layer (type) Output Shape Param # \n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "=================================================================\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + " flatten (Flatten) (None, 784) 0 \n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + " \n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + " dense (Dense) (None, 300) 235500 \n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + " \n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + " dense_1 (Dense) (None, 100) 30100 \n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + " \n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + " dense_2 (Dense) (None, 50) 5050 \n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + " \n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + " dense_3 (Dense) (None, 50) 2550 \n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + " \n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + " dense_4 (Dense) (None, 50) 2550 \n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + " \n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + " dense_5 (Dense) (None, 8) 408 \n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + " \n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "=================================================================\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Total params: 276158 (1.05 MB)\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Trainable params: 276158 (1.05 MB)\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Non-trainable params: 0 (0.00 Byte)\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "_________________________________________________________________\n" + ] + } + ], + "source": [ + "model_A.summary()" + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "metadata": { + "execution": { + "iopub.execute_input": "2024-01-10T00:23:00.270442Z", + "iopub.status.busy": "2024-01-10T00:23:00.270062Z", + "iopub.status.idle": "2024-01-10T00:23:00.282166Z", + "shell.execute_reply": "2024-01-10T00:23:00.281544Z" + }, + "slideshow": { + "slide_type": "subslide" + } + }, + "outputs": [], + "source": [ + "model_A.compile(loss=\"sparse_categorical_crossentropy\",\n", + " optimizer=keras.optimizers.legacy.SGD(learning_rate=1e-3),\n", + " metrics=[\"accuracy\"])" + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "metadata": { + "execution": { + "iopub.execute_input": "2024-01-10T00:23:00.285085Z", + "iopub.status.busy": "2024-01-10T00:23:00.284855Z", + "iopub.status.idle": "2024-01-10T00:23:57.929063Z", + "shell.execute_reply": "2024-01-10T00:23:57.928392Z" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Epoch 1/20\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\r", + " 1/1375 [..............................] - ETA: 8:50 - loss: 2.8891 - accuracy: 0.0938" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + 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val_loss: 0.3242 - val_accuracy: 0.8889\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Epoch 3/20\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\r", + " 1/1375 [..............................] - ETA: 3s - loss: 0.3832 - accuracy: 0.9375" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\r", + " 29/1375 [..............................] - ETA: 2s - loss: 0.3219 - accuracy: 0.8836" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\r", + " 55/1375 [>.............................] - ETA: 2s - loss: 0.3357 - accuracy: 0.8858" + ] + }, + { + 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val_loss: 0.2830 - val_accuracy: 0.9053\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Epoch 5/20\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\r", + " 1/1375 [..............................] - ETA: 4s - loss: 0.4527 - accuracy: 0.8125" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\r", + " 29/1375 [..............................] - ETA: 2s - loss: 0.2789 - accuracy: 0.9095" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\r", + " 56/1375 [>.............................] - ETA: 2s - loss: 0.2719 - accuracy: 0.9102" + ] + }, + { + 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val_loss: 0.2693 - val_accuracy: 0.9081\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Epoch 7/20\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\r", + " 1/1375 [..............................] - ETA: 6s - loss: 0.5773 - accuracy: 0.8750" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\r", + " 27/1375 [..............................] - ETA: 2s - loss: 0.2829 - accuracy: 0.9097" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\r", + " 53/1375 [>.............................] - ETA: 2s - loss: 0.2677 - accuracy: 0.9098" + ] + }, + { + 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"\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\r", + "1375/1375 [==============================] - 3s 2ms/step - loss: 0.2636 - accuracy: 0.9107 - val_loss: 0.2666 - val_accuracy: 0.9076\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Epoch 8/20\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\r", + " 1/1375 [..............................] - ETA: 4s - loss: 0.1498 - accuracy: 0.9375" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\r", + " 27/1375 [..............................] - ETA: 2s - loss: 0.2740 - accuracy: 0.9132" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + 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0.2572 - accuracy: 0.9136 - val_loss: 0.2570 - val_accuracy: 0.9126\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Epoch 9/20\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\r", + " 1/1375 [..............................] - ETA: 4s - loss: 0.1835 - accuracy: 0.9062" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\r", + " 29/1375 [..............................] - ETA: 2s - loss: 0.2600 - accuracy: 0.8966" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\r", + " 58/1375 [>.............................] - ETA: 2s - loss: 0.2755 - 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"\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\r", + "1375/1375 [==============================] - 3s 2ms/step - loss: 0.2517 - accuracy: 0.9144 - val_loss: 0.2537 - val_accuracy: 0.9126\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Epoch 10/20\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\r", + " 1/1375 [..............................] - ETA: 4s - loss: 0.3150 - accuracy: 0.9375" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\r", + " 29/1375 [..............................] - ETA: 2s - loss: 0.2828 - accuracy: 0.9106" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + 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}, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\r", + "1369/1375 [============================>.] - ETA: 0s - loss: 0.2471 - accuracy: 0.9156" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\r", + "1375/1375 [==============================] - 3s 2ms/step - loss: 0.2472 - accuracy: 0.9156 - val_loss: 0.2533 - val_accuracy: 0.9165\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Epoch 11/20\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\r", + " 1/1375 [..............................] - ETA: 3s - loss: 0.5573 - accuracy: 0.7812" + ] + }, + { 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"\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\r", + "1375/1375 [==============================] - 3s 2ms/step - loss: 0.2429 - accuracy: 0.9168 - val_loss: 0.2460 - val_accuracy: 0.9158\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Epoch 12/20\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\r", + " 1/1375 [..............................] - ETA: 4s - loss: 0.1553 - accuracy: 0.9375" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\r", + " 31/1375 [..............................] - ETA: 2s - loss: 0.2504 - accuracy: 0.9153" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + 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}, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\r", + "1357/1375 [============================>.] - ETA: 0s - loss: 0.2264 - accuracy: 0.9236" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\r", + "1375/1375 [==============================] - 3s 2ms/step - loss: 0.2264 - accuracy: 0.9235 - val_loss: 0.2377 - val_accuracy: 0.9195\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Epoch 17/20\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\r", + " 1/1375 [..............................] - ETA: 4s - loss: 0.1594 - accuracy: 0.9375" + ] + }, + { 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"\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\r", + "1368/1375 [============================>.] - ETA: 0s - loss: 0.2239 - accuracy: 0.9238" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\r", + "1375/1375 [==============================] - 3s 2ms/step - loss: 0.2240 - accuracy: 0.9237 - val_loss: 0.2420 - val_accuracy: 0.9141\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Epoch 18/20\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\r", + " 1/1375 [..............................] - ETA: 3s - loss: 0.1302 - accuracy: 0.9688" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + 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0.2212 - accuracy: 0.9248" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\r", + "1375/1375 [==============================] - 3s 2ms/step - loss: 0.2212 - accuracy: 0.9247 - val_loss: 0.2449 - val_accuracy: 0.9108\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Epoch 19/20\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\r", + " 1/1375 [..............................] - ETA: 3s - loss: 0.2694 - accuracy: 0.9062" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\r", + " 31/1375 [..............................] - ETA: 2s - loss: 0.2491 - 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+ "cell_type": "code", + "execution_count": 26, + "metadata": { + "execution": { + "iopub.execute_input": "2024-01-10T00:23:57.932232Z", + "iopub.status.busy": "2024-01-10T00:23:57.931988Z", + "iopub.status.idle": "2024-01-10T00:23:57.956644Z", + "shell.execute_reply": "2024-01-10T00:23:57.956100Z" + }, + "slideshow": { + "slide_type": "subslide" + } + }, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/opt/hostedtoolcache/Python/3.8.18/x64/lib/python3.8/site-packages/keras/src/engine/training.py:3000: UserWarning: You are saving your model as an HDF5 file via `model.save()`. This file format is considered legacy. We recommend using instead the native Keras format, e.g. `model.save('my_model.keras')`.\n", + " saving_api.save_model(\n" + ] + } + ], + "source": [ + "model_A.save(\"my_model_A.h5\")" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "#### Repeat on dataset B" + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "metadata": { + "execution": { + "iopub.execute_input": "2024-01-10T00:23:57.959952Z", + "iopub.status.busy": "2024-01-10T00:23:57.959374Z", + "iopub.status.idle": "2024-01-10T00:23:58.021468Z", + "shell.execute_reply": "2024-01-10T00:23:58.020785Z" + } + }, + "outputs": [], + "source": [ + "model_B = keras.models.Sequential()\n", + "model_B.add(keras.layers.Flatten(input_shape=[28, 28]))\n", + "for n_hidden in (300, 100, 50, 50, 50):\n", + " model_B.add(keras.layers.Dense(n_hidden, activation=\"selu\"))\n", + "model_B.add(keras.layers.Dense(1, activation=\"sigmoid\"))" + ] + }, + { + "cell_type": "code", + "execution_count": 28, + "metadata": { + "execution": { + "iopub.execute_input": "2024-01-10T00:23:58.024937Z", + "iopub.status.busy": "2024-01-10T00:23:58.024352Z", + "iopub.status.idle": "2024-01-10T00:23:58.031911Z", + "shell.execute_reply": "2024-01-10T00:23:58.031293Z" + } + }, + "outputs": [], + "source": [ + "model_B.compile(loss=\"binary_crossentropy\",\n", + " optimizer=keras.optimizers.legacy.SGD(learning_rate=1e-3),\n", + " metrics=[\"accuracy\"])" + ] + }, + { + "cell_type": "code", + "execution_count": 29, + "metadata": { + "execution": { + "iopub.execute_input": "2024-01-10T00:23:58.034840Z", + "iopub.status.busy": "2024-01-10T00:23:58.034370Z", + "iopub.status.idle": "2024-01-10T00:24:01.010070Z", + "shell.execute_reply": "2024-01-10T00:24:01.009366Z" + }, + "scrolled": true + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Epoch 1/20\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\r", + "1/7 [===>..........................] - ETA: 2s - loss: 0.8455 - accuracy: 0.3750" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\r", + "7/7 [==============================] - 1s 34ms/step - loss: 0.7139 - accuracy: 0.5350 - val_loss: 0.5838 - val_accuracy: 0.7211\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Epoch 2/20\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\r", + "1/7 [===>..........................] - ETA: 0s - loss: 0.5860 - accuracy: 0.6875" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\r", + "7/7 [==============================] - 0s 12ms/step - loss: 0.5292 - accuracy: 0.7400 - 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0s 12ms/step - loss: 0.1045 - accuracy: 0.9900 - val_loss: 0.1294 - val_accuracy: 0.9787\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Epoch 19/20\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\r", + "1/7 [===>..........................] - ETA: 0s - loss: 0.0712 - accuracy: 1.0000" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\r", + "7/7 [==============================] - 0s 15ms/step - loss: 0.0991 - accuracy: 0.9900 - val_loss: 0.1243 - val_accuracy: 0.9787\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Epoch 20/20\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\r", + "1/7 [===>..........................] - ETA: 0s - loss: 0.0666 - accuracy: 1.0000" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\r", + "7/7 [==============================] - 0s 11ms/step - loss: 0.0941 - accuracy: 0.9900 - val_loss: 0.1202 - val_accuracy: 0.9787\n" + ] + } + ], + "source": [ + "history = model_B.fit(X_train_B, y_train_B, epochs=20,\n", + " validation_data=(X_valid_B, y_valid_B))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We achieve an accuracy ~97% since this is an easier problem (binary classification).\n", + "\n", + "However, we could do better by transferring information from setting A." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "### Freezing lower layers" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The lower layers of the first network have already learnt low-level features for the first task, so they can be reused as they are. \n", + "\n", + "That is, we freeze their weights so that they are not altered during subsequent training of the new network.\n", + "\n", + "We will take all layers from model A and then add a final output layer for our binary classification problem." + ] + }, + { + "cell_type": "code", + "execution_count": 30, + "metadata": { + "execution": { + "iopub.execute_input": "2024-01-10T00:24:01.014025Z", + "iopub.status.busy": "2024-01-10T00:24:01.013593Z", + "iopub.status.idle": "2024-01-10T00:24:01.136711Z", + "shell.execute_reply": "2024-01-10T00:24:01.136018Z" + } + }, + "outputs": [], + "source": [ + "model_A = keras.models.load_model(\"my_model_A.h5\")\n", + "model_B_on_A = keras.models.Sequential(model_A.layers[:-1]) # Reuse all layers except output.\n", + "model_B_on_A.add(keras.layers.Dense(1, activation=\"sigmoid\"))" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "fragment" + } + }, + "source": [ + "Note that `model_B_on_A` and `model_A` now share layers. When you train on `model_B_on_A` that will also impact `model_A`.\n", + "\n", + "To avoid this you can clone a model." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "Let's freeze all layers except the final dense output layer." + ] + }, + { + "cell_type": "code", + "execution_count": 31, + "metadata": { + "execution": { + "iopub.execute_input": "2024-01-10T00:24:01.140756Z", + "iopub.status.busy": "2024-01-10T00:24:01.140151Z", + "iopub.status.idle": "2024-01-10T00:24:01.149291Z", + "shell.execute_reply": "2024-01-10T00:24:01.148631Z" + } + }, + "outputs": [], + "source": [ + "for layer in model_B_on_A.layers[:-1]:\n", + " layer.trainable = False\n", + "\n", + "model_B_on_A.compile(loss=\"binary_crossentropy\",\n", + " optimizer=keras.optimizers.legacy.SGD(learning_rate=1e-3),\n", + " metrics=[\"accuracy\"])" + ] + }, + { + "cell_type": "code", + "execution_count": 32, + "metadata": { + "execution": { + "iopub.execute_input": "2024-01-10T00:24:01.152616Z", + "iopub.status.busy": "2024-01-10T00:24:01.152021Z", + "iopub.status.idle": "2024-01-10T00:24:02.154705Z", + "shell.execute_reply": "2024-01-10T00:24:02.153966Z" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Epoch 1/4\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\r", + "1/7 [===>..........................] - ETA: 1s - loss: 0.8270 - accuracy: 0.4062" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\r", + "7/7 [==============================] - 1s 37ms/step - loss: 0.7710 - accuracy: 0.4450 - val_loss: 0.7481 - val_accuracy: 0.4706\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Epoch 2/4\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\r", + "1/7 [===>..........................] - ETA: 0s - loss: 0.6625 - accuracy: 0.4688" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\r", + "7/7 [==============================] - 0s 11ms/step - loss: 0.7053 - accuracy: 0.4800 - val_loss: 0.6830 - val_accuracy: 0.5132\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Epoch 3/4\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\r", + "1/7 [===>..........................] - ETA: 0s - loss: 0.6738 - accuracy: 0.5312" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\r", + "7/7 [==============================] - 0s 11ms/step - loss: 0.6409 - accuracy: 0.5500 - val_loss: 0.6285 - val_accuracy: 0.5588\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Epoch 4/4\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\r", + "1/7 [===>..........................] - ETA: 0s - loss: 0.6079 - accuracy: 0.6250" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\r", + "7/7 [==============================] - 0s 11ms/step - loss: 0.5871 - accuracy: 0.6050 - val_loss: 0.5807 - val_accuracy: 0.6055\n" + ] + } + ], + "source": [ + "history = model_B_on_A.fit(X_train_B, y_train_B, epochs=4,\n", + " validation_data=(X_valid_B, y_valid_B))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Even with just one trained layer and a few epochs, our model is starting to learn the new problem." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "Now let's unfreeze the lower layers and train the full model to fine-tune it." + ] + }, + { + "cell_type": "code", + "execution_count": 33, + "metadata": { + "execution": { + "iopub.execute_input": "2024-01-10T00:24:02.158195Z", + "iopub.status.busy": "2024-01-10T00:24:02.157585Z", + "iopub.status.idle": "2024-01-10T00:24:02.166504Z", + "shell.execute_reply": "2024-01-10T00:24:02.165827Z" + } + }, + "outputs": [], + "source": [ + "for layer in model_B_on_A.layers[:-1]:\n", + " layer.trainable = True\n", + "\n", + "model_B_on_A.compile(loss=\"binary_crossentropy\",\n", + " optimizer=keras.optimizers.legacy.SGD(learning_rate=1e-3),\n", + " metrics=[\"accuracy\"])" + ] + }, + { + "cell_type": "code", + "execution_count": 34, + "metadata": { + "execution": { + "iopub.execute_input": "2024-01-10T00:24:02.169499Z", + "iopub.status.busy": "2024-01-10T00:24:02.169102Z", + "iopub.status.idle": "2024-01-10T00:24:05.143309Z", + "shell.execute_reply": "2024-01-10T00:24:05.142593Z" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Epoch 1/16\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\r", + "1/7 [===>..........................] - ETA: 2s - loss: 0.5912 - accuracy: 0.5312" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\r", + "7/7 [==============================] - 1s 37ms/step - loss: 0.4916 - accuracy: 0.7150 - val_loss: 0.4261 - val_accuracy: 0.8012\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Epoch 2/16\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\r", + "1/7 [===>..........................] - ETA: 0s - loss: 0.3601 - accuracy: 0.9062" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\r", + "7/7 [==============================] - 0s 15ms/step - loss: 0.3612 - accuracy: 0.8700 - val_loss: 0.3239 - val_accuracy: 0.9057\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Epoch 3/16\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\r", + "1/7 [===>..........................] - ETA: 0s - loss: 0.2906 - accuracy: 0.9688" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\r", + "7/7 [==============================] - 0s 15ms/step - loss: 0.2758 - accuracy: 0.9400 - val_loss: 0.2619 - val_accuracy: 0.9462\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Epoch 4/16\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\r", + "1/7 [===>..........................] - ETA: 0s - loss: 0.2233 - accuracy: 0.9688" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\r", + "7/7 [==============================] - 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0s 11ms/step - loss: 0.0682 - accuracy: 0.9950 - val_loss: 0.0826 - val_accuracy: 0.9919\n" + ] + } + ], + "source": [ + "history = model_B_on_A.fit(X_train_B, y_train_B, epochs=16,\n", + " validation_data=(X_valid_B, y_valid_B))" + ] + }, + { + "cell_type": "code", + "execution_count": 35, + "metadata": { + "execution": { + "iopub.execute_input": "2024-01-10T00:24:05.146849Z", + "iopub.status.busy": "2024-01-10T00:24:05.146103Z", + "iopub.status.idle": "2024-01-10T00:24:05.303101Z", + "shell.execute_reply": "2024-01-10T00:24:05.302453Z" + }, + "slideshow": { + "slide_type": "subslide" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\r", + " 1/63 [..............................] - ETA: 1s - loss: 0.1080 - accuracy: 1.0000" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\r", + "38/63 [=================>............] - 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\\eta \\nabla_\\theta J(\\theta)$$" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "### Momentum optimization" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Momentum optimization uses the gradients to modify a momentum vector and uses the momentum to update the weights:\n", + "\n", + "1. $m \\leftarrow \\beta m + \\eta \\nabla_\\theta J(\\theta)$\n", + "2. $\\theta \\leftarrow \\theta - m$" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "fragment" + } + }, + "source": [ + "Gradient is used as an acceleration rather than speed. Can help to traverse plateaus and to avoid local minima.\n", + "\n", + "The additional hyperparameter $\\beta$ is introduced as a friction term to avoid the momentum growing too large (typically $\\beta \\sim 0.9$)." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "### Nesterov accelerated gradient" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Nesterov accelerated gradient is a variant of momentum optimization where the gradient is computed further ahead in the direction of the momentum:\n", + "\n", + "1. $m \\leftarrow \\beta m + \\eta \\nabla_\\theta J(\\theta + \\beta m)$\n", + "2. $\\theta \\leftarrow \\theta - m$" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "fragment" + } + }, + "source": [ + "In general the momentum will be pointing toward the optimum and so Nesterov modification typically provides an improvement over standard momentum optimization." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "### AdaGrad" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "AdaGrad scales down the gradient vector along the steepest direction by incorporating a gradient squared term:\n", + "\n", + "1. $s \\leftarrow s + \\nabla_\\theta J(\\theta) \\otimes \\nabla_\\theta J(\\theta)$\n", + "2. $\\theta \\leftarrow \\theta - \\eta \\nabla_\\theta J(\\theta) \\oslash \\sqrt{s+\\epsilon}$\n", + "\n", + "Note that $\\otimes$ and $\\oslash$ are elementwise multiplication and division, respectively.\n", + "\n", + "The parameter $\\epsilon$ is introduced for numerical stability (typically $\\epsilon\\sim 10^{-10}$).\n", + "\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "fragment" + } + }, + "source": [ + "Basically, AdaGrad correspondings to an *adaptive learning rate* where the learning rate is decayed faster for steep directions.\n", + "\n", + "Consequently, it requires much less tuning of the learning rate $\\eta$." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "\n", + "\n", + "[Credit: Geron]" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "### RMSProp" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "RMSProp extends AdaGrad by introducing an exponential decay in the accumulated squared gradient:\n", + "\n", + "1. $s \\leftarrow \\beta s + (1-\\beta) \\nabla_\\theta J(\\theta) \\otimes \\nabla_\\theta J(\\theta)$\n", + "2. $\\theta \\leftarrow \\theta - \\eta \\nabla_\\theta J(\\theta) \\oslash \\sqrt{s+\\epsilon}$" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "fragment" + } + }, + "source": [ + "(Typically $\\beta\\sim 0.9$.)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "-" + } + }, + "source": [ + "Avoids the problem where AdaGrad slows down too fast and so doesn't converge to the global optimum." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "### Adam optimization" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Adam optimization combines momentum and RMSProp:\n", + "\n", + "1. $m \\leftarrow \\beta_1 m + (1-\\beta_1) \\nabla_\\theta J(\\theta)$\n", + "2. $s \\leftarrow \\beta_2 s + (1-\\beta_2) \\nabla_\\theta J(\\theta)\\otimes\\nabla_\\theta J(\\theta)$\n", + "3. $m \\leftarrow \\frac{m}{1-\\beta_1^{t}}$, where $t$ is the iteration number \n", + "4. $s \\leftarrow \\frac{s}{1-\\beta_2^{t}}$, where $t$ is the iteration number\n", + "5. $\\theta \\leftarrow \\theta - \\eta m \\oslash \\sqrt{s+\\epsilon}$" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "fragment" + } + }, + "source": [ + "Steps 3 and 4 are introduced to boost $m$ and $s$ at the beginnning of training (since they are initialised to 0 they can otherwise be low at the beginning).\n", + "\n", + "(Typically $\\beta_1 \\sim 0.9$, $\\beta_2 \\sim 0.999$.)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "## Regularization" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Deep networks have many parameters (sometimes millions) and so are prone to overfitting.\n", + "\n", + "Regularization therefore becomes increasingly important." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "### Early stopping" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "A simple regularization strategy is to end training early, e.g. when performance on validation set starts to degrade.\n", + "\n", + "Although early stopping works well, other regularisation techniques can lead to better performance." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "### $\\ell_2$ and $\\ell_1$ regularization" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "*Tikhonov* regularization adopts $\\ell_2$ regularising term (also called *Ridge regression*):\n", + "\n", + "\n", + "$$ R(\\theta) = \\frac{1}{2} \\sum_{j=1}^n \\theta_j^2 = \\frac{1}{2} \\theta^{\\rm T}\\theta.$$\n", + "\n", + "\n", + "*Lasso* regularization adopts $\\ell_1$ regularising term:\n", + "\n", + "$$ R(\\theta) =\\sum_{j=1}^n \\left\\vert \\theta_j \\right\\vert .$$" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "*Elastic net* regularization provides a mix of Tikhonov and Lasso regularization, controlled by mix ratio $r$:\n", + "\n", + "$$ R(\\theta) = r\\sum_{j=1}^n \\left\\vert \\theta_j \\right\\vert + \\frac{1-r}{2} \\sum_{j=1}^n \\theta_j^2.$$\n", + "\n", + "- For $r=0$, corresponds to Tikhonov regularization.\n", + "- For $r=1$, corresponds to Lasso regularization." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "### Dropout" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Dropout is a very popular and effective regularlisation technique developed by [Geoff Hinton in 2012](http://www.jmlr.org/papers/volume15/srivastava14a.old/srivastava14a.pdf)." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "Dropout involves simply dropping each neuron for a given training set with probability $p$.\n", + "\n", + "\n", + "\n", + "[Credit: Geron]" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "-" + } + }, + "source": [ + "Dropout encourages each neuron to be as effective as possible individually and not to rely heavily on a few nearby neurons but to consider all input neurons carefully." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "The probability $p$ is called the *dropout rate* (typically $p \\sim 0.5$).\n", + "\n", + "After training the neurons don't get dropped." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "The number of inputs of active neurons is lower when dropout is applied during training, than when the network is applied during testing. \n", + "\n", + "For example, if $p=0.5$, on average there are half as many input neurons during training than when testing. During testing each neuron will get an input signal (approximately) twice as large as during training.\n", + "\n", + "It is important to account for this difference.\n", + "\n", + "To compensate, after training each neurons input weights are multiplied by the keep probability $1-p$ before applying the network to test data." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "### Data augmentation" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Data augmentation can be applied both as a regularization technique and to increase the volume of the training set.\n", + "\n", + "Essentially, new training instances are created from the original training set." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "For example, for images, data augmentation can be performed by rotating, shifting, scaling, flipping, changing the contrast, ..., of the original images in the training data-set.\n", + "\n", + "\n", + "\n", + "[Credit: Geron]" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "Appropriate data augmentation strategies depend on the type of data under consideration." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "fragment" + } + }, + "source": [ + "Typically training instances are generated on the fly to avoid additional storage requirements. \n", + "\n", + "Tensor Flow has built in functionality for many transformations for image data, making data augmentation for image data straightforward." + ] + } + ], + "metadata": { + "celltoolbar": "Slideshow", + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.11.11" + } + }, + "nbformat": 4, + "nbformat_minor": 4 +} diff --git a/week5/Lecture14_CNN.ipynb b/week5/Lecture14_CNN.ipynb new file mode 100644 index 0000000..8230e80 --- /dev/null +++ b/week5/Lecture14_CNN.ipynb @@ -0,0 +1,5319 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "# Lecture 14: Convolutional Neural Networks " + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "skip" + } + }, + "source": [ + "![](https://www.tensorflow.org/images/colab_logo_32px.png)\n", + "[Run in colab](https://colab.research.google.com/drive/1CxeEInBOmkXyYx-vBjKzYCh8Uaoccgsd)" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": { + "execution": { + "iopub.execute_input": "2024-01-10T00:25:43.908150Z", + "iopub.status.busy": "2024-01-10T00:25:43.907750Z", + "iopub.status.idle": "2024-01-10T00:25:43.919659Z", + "shell.execute_reply": "2024-01-10T00:25:43.919078Z" + }, + "slideshow": { + "slide_type": "skip" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Version: 2024-01-10 00:25:43\n" + ] + } + ], + "source": [ + "import datetime\n", + "now = datetime.datetime.now()\n", + "print(\"Version: \" + now.strftime(\"%Y-%m-%d %H:%M:%S\"))" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": { + "execution": { + "iopub.execute_input": "2024-01-10T00:25:43.958631Z", + "iopub.status.busy": "2024-01-10T00:25:43.957708Z", + "iopub.status.idle": "2024-01-10T00:25:44.374558Z", + "shell.execute_reply": "2024-01-10T00:25:44.373850Z" + }, + "slideshow": { + "slide_type": "skip" + } + }, + "outputs": [], + "source": [ + "# Common imports\n", + "import numpy as np\n", + "import os\n", + "\n", + "# to make this notebook's output stable across runs\n", + "def reset_state(seed=42):\n", + " tf.keras.backend.clear_session()\n", + " tf.random.set_seed(seed)\n", + " np.random.seed(seed)\n", + "\n", + "# To plot pretty figures\n", + "%matplotlib inline\n", + "import matplotlib as mpl\n", + "import matplotlib.pyplot as plt\n", + "mpl.rc('axes', labelsize=14)\n", + "mpl.rc('xtick', labelsize=12)\n", + "mpl.rc('ytick', labelsize=12)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + }, + "tags": [] + }, + "source": [ + "## Motivation" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + }, + "tags": [] + }, + "source": [ + "### Visual cortex\n", + "\n", + "\n", + "\n", + "[[Image source](https://www.blueconemonochromacy.org/wp-content/uploads/2011/02/1_EN.jpg)]\n", + "\n", + "\n", + "Neurons in the visual cortex have a small local receptive field, i.e. only react to limited region of visual field.\n", + "\n", + "Receptive fields of neurons overlap and together cover full visual field." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + }, + "tags": [] + }, + "source": [ + "### Architecture of the visual cortex\n", + "\n", + "Some neurons only sensitive to stimuli of certain structure, e.g. horizonal lines.\n", + "\n", + "Some neurons have larger receptive fields, and are sensitive to stimuli that are combinations of lower-level patterns.\n", + "\n", + "\n", + "\n", + "[Credit: Geron]\n", + "\n", + "Corresponding architecture can detect complex patterns in full visual field, which inspires design of convolutional neural networks (CNNs)." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + }, + "tags": [] + }, + "source": [ + "## Convolution\n", + "\n", + "Core building block of CNNs is convolution." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + }, + "tags": [] + }, + "source": [ + "### Graphical description\n", + "\n", + "Convolution involves passing a filter (kernel) over an image and taking the sum of the product of terms for all positions.\n", + "\n", + "\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + }, + "tags": [] + }, + "source": [ + "\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + }, + "tags": [] + }, + "source": [ + "#### Animation of convolution\n", + "\n", + "\n", + "\n", + "[[Animation source](https://miro.medium.com/max/1000/1*GcI7G-JLAQiEoCON7xFbhg.gif)]\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + }, + "tags": [] + }, + "source": [ + "### Mathematical description" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Convolution output is given by\n", + "\\begin{align*}\n", + "z_{i,j} = \\sum_{u,v} x_{u,v} w_{u-i,v-j},\n", + "\\end{align*}\n", + "where $x$ is the input image, $w$ is the filter (kernel) and $i$ ($u$) and $j$ ($v$) denote row and column indices, respectively." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "(Note that the kernel is not reflected as is typical in the usual mathematical definition of convolution.)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + }, + "tags": [] + }, + "source": [ + "### Advantages\n", + "\n", + "- Localisation: Capture local structure.\n", + "- Efficiency: weight sharing results in dramatic reduction in number of weights (parameters) compared to fully-connected neural network.\n", + "- Translational equivariance: Feature space behavies \"nicely\" under a translation of the input. In a sense, learn general features rather than features for all locations of image.\n", + "- Composition: Can compose convolutions to extract more complex features." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + }, + "tags": [] + }, + "source": [ + "## Convolutional layers" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Define neural network layers using convolutions." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + }, + "tags": [] + }, + "source": [ + "\n", + "\n", + "[Credit: Geron]" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Allows the network to focus on small low-level features in the first layer and use these to constuct higher-level features in next layer, and so on. \n", + "\n", + "Results in a hierarchical representation that is common in images of the real-world." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + }, + "tags": [] + }, + "source": [ + "### Filters and features" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Filters pull out corresponding features from image. \n", + "\n", + "Output of convolutional layer is typically called a *feature map*." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "\n", + "\n", + "[Credit: Geron]" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "During training, effective filters to extract representative features are learned." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + }, + "tags": [] + }, + "source": [ + "### Padding" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "-" + }, + "tags": [] + }, + "source": [ + "Nominally, convolution results in an output image that is *smaller* than the input.\n", + "\n", + "\n", + "\n", + "Various modifications to the nominal convolution are often considered.\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + }, + "tags": [] + }, + "source": [ + "#### Animation of convolution (no padding, no stride)\n", + "\n", + "\n", + "\n", + "[[Animation source](https://github.com/vdumoulin/conv_arithmetic/blob/master/gif/no_padding_no_strides.gif)]\n", + "\n", + "Blue pixels denote the input image, grey the convolutional kernel as it moves over the image, and green pixels denote the output." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + }, + "tags": [] + }, + "source": [ + "Padding often introduced to control output size." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + }, + "tags": [] + }, + "source": [ + "#### Animation of convolution (padding, no stride)\n", + "\n", + "\n", + "\n", + "[[Animation source](https://github.com/vdumoulin/conv_arithmetic/blob/master/gif/arbitrary_padding_no_strides.gif)]\n", + "\n", + "Uncoloured pixels denote padding with zeros." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + }, + "tags": [] + }, + "source": [ + "### Stride" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Animation of convolution (no padding, stride)\n", + "\n", + "\n", + "\n", + "[[Animation source](https://github.com/vdumoulin/conv_arithmetic/blob/master/gif/no_padding_strides.gif)]" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + }, + "tags": [] + }, + "source": [ + "### Padding and stride" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Animation of convolution (padding, stride)\n", + "\n", + "\n", + "\n", + "[[Animation source](https://github.com/vdumoulin/conv_arithmetic/blob/master/gif/padding_strides.gif)]" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + }, + "tags": [] + }, + "source": [ + "### Channels" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Multiple input channels\n", + "\n", + "Input images often have multiple channels, e.g. red, green and blue colour channels.\n", + "\n", + "\n", + "\n", + "[[Image source](https://code.tutsplus.com/tutorials/create-a-retro-crt-distortion-effect-using-rgb-shifting--active-3359)]" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + }, + "tags": [] + }, + "source": [ + "Support multiple input channels by defining a filter for each channel and summing result." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + }, + "tags": [] + }, + "source": [ + "#### Multiple input and output channels\n", + "\n", + "Add a set of filters for each desired output channel." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + }, + "tags": [] + }, + "source": [ + "#### Mathematical description" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Convolution output is given by\n", + "\\begin{align*}\n", + "z_{i,j,k_\\text{out}} = \\sum_{u,v,k_\\text{in}} x_{u,v,k_\\text{in}} w_{u-i,v-j,k_\\text{in},k_\\text{out}},\n", + "\\end{align*}\n", + "where $x$ is the input image, $w$ is the filter (kernel) and $i$ ($u$) and $j$ ($v$) denote row and column indices, respectively. The input channel index is denoted $k_\\text{in}$ and the output channel index $k_\\text{out}$." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "fragment" + }, + "tags": [] + }, + "source": [ + "Notice that the filter is now 4-dimensional. We quickly add a lot of additional parameters." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "### Non-linear activations\n", + "\n", + "Convolutions usually followed by pointwise activation functions to introduce non-linearity (cf. fully-connected neural networks).\n", + "\n", + "" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "### Full convolutional layer\n", + "\n", + "" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + }, + "tags": [] + }, + "source": [ + "## Pooling layers" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Pooling layers are used to downsample to reduce the computational load, memory usage and number of parameters.\n", + "\n", + "Retains equivariance to large translation and can introduce invariance to small translations." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + }, + "tags": [] + }, + "source": [ + "### Max pooling\n", + "\n", + "Take maximum over parent cell size, translating cell over image." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + }, + "tags": [] + }, + "source": [ + "### Average pooling\n", + "\n", + "Take average over parent cell size, translating cell over image." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + }, + "tags": [] + }, + "source": [ + "### Multiple input channels" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "When considering multiple input channels, pooling is performed separately for each channel." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + }, + "tags": [] + }, + "source": [ + "## CNN architectures" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + }, + "tags": [] + }, + "source": [ + "### Stacking multiple feature maps\n", + "\n", + "Convolutional layers typically stacked with multiple input and output channels, leading to multiple feature maps.\n", + "\n", + "Neuron's receptor field extends across all previous layers' feature maps." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "\n", + "\n", + "[Credit: Geron]" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + }, + "tags": [] + }, + "source": [ + "### Basic CNN architecture\n", + "\n", + "Basic CNN architecture typically consists of combining the following layers:\n", + "- Convolutions\n", + "- Non-linear activations\n", + "- Pooling\n", + "\n", + "And repeating.\n", + "\n", + "Final layers are then added on that are tailored to the problem at hand (often fully connected layers)." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "\"Drawing\"\n", + "\n", + "[Credit: Geron]" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + }, + "tags": [] + }, + "source": [ + "### CNN explainer\n", + "\n", + "\n", + "\n", + "The [CNN explainer](https://poloclub.github.io/cnn-explainer/) is a great visualisation tool, allowing you to look inside a CNN to visualise the layers making up a network." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + }, + "tags": [] + }, + "source": [ + "### LeNet architecture\n", + "\n", + "Convolutional layers first introduced by [Lecun et al.](http://yann.lecun.com/exdb/publis/pdf/lecun-98.pdf) in 1998 for digital classification problem.\n", + "\n", + "" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + }, + "tags": [] + }, + "source": [ + "" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + }, + "tags": [] + }, + "source": [ + "### AlexNet" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "[AlexNet](https://proceedings.neurips.cc/paper/2012/file/c399862d3b9d6b76c8436e924a68c45b-Paper.pdf), which helped to intitiate the deep learning revolution in 2012, was based on a CNN architecture and showed a significant improvement in performance on the [ImageNet](https://www.image-net.org/) benchmark problem compared to the state-of-the-art at the time." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + }, + "tags": [] + }, + "source": [ + "" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + }, + "tags": [] + }, + "source": [ + "### VGG" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The [VGG network](https://arxiv.org/abs/1409.1556) followed soon afterwards, making another significant improvement in performance, while simplifying the architecture.\n", + "\n", + "VGG-16 uses 3x3 convolutions only and max pooling layers that step down by a factor of two at each stage." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "\n", + "\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "slide" + }, + "tags": [] + }, + "source": [ + "## Implementing CNNs in TensorFlow" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + }, + "tags": [] + }, + "source": [ + "### Load and set up data\n", + "\n", + "Let's consider fashion MNIST again." + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": { + "execution": { + "iopub.execute_input": "2024-01-10T00:25:44.382339Z", + "iopub.status.busy": "2024-01-10T00:25:44.381587Z", + "iopub.status.idle": "2024-01-10T00:25:46.547911Z", + "shell.execute_reply": "2024-01-10T00:25:46.547190Z" + } + }, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "2024-01-10 00:25:44.549473: I tensorflow/tsl/cuda/cudart_stub.cc:28] Could not find cuda drivers on your machine, GPU will not be used.\n", + "2024-01-10 00:25:44.600874: I tensorflow/tsl/cuda/cudart_stub.cc:28] Could not find cuda drivers on your machine, GPU will not be used.\n", + "2024-01-10 00:25:44.601966: I tensorflow/core/platform/cpu_feature_guard.cc:182] This TensorFlow binary is optimized to use available CPU instructions in performance-critical operations.\n", + "To enable the following instructions: AVX2 AVX512F FMA, in other operations, rebuild TensorFlow with the appropriate compiler flags.\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "2024-01-10 00:25:45.420709: W tensorflow/compiler/tf2tensorrt/utils/py_utils.cc:38] TF-TRT Warning: Could not find TensorRT\n" + ] + } + ], + "source": [ + "import tensorflow as tf\n", + "from tensorflow import keras" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": { + "execution": { + "iopub.execute_input": "2024-01-10T00:25:46.552176Z", + "iopub.status.busy": "2024-01-10T00:25:46.551352Z", + "iopub.status.idle": "2024-01-10T00:25:47.403845Z", + "shell.execute_reply": "2024-01-10T00:25:47.403129Z" + } + }, + "outputs": [], + "source": [ + "# Load fashion MNIST data\n", + "(X_train_full, y_train_full), (X_test, y_test) = keras.datasets.fashion_mnist.load_data()\n", + "X_train, X_valid = X_train_full[:-30000], X_train_full[-30000:]\n", + "y_train, y_valid = y_train_full[:-30000], y_train_full[-30000:]\n", + "\n", + "# Standardize\n", + "X_mean = X_train.mean(axis=0, keepdims=True)\n", + "X_std = X_train.std(axis=0, keepdims=True) + 1e-7\n", + "X_train = (X_train - X_mean) / X_std\n", + "X_valid = (X_valid - X_mean) / X_std\n", + "X_test = (X_test - X_mean) / X_std\n", + "\n", + "# Add final channel axis (one channel)\n", + "X_train = X_train[..., np.newaxis]\n", + "X_valid = X_valid[..., np.newaxis]\n", + "X_test = X_test[..., np.newaxis]" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + }, + "tags": [] + }, + "source": [ + "### Plot example data instance" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": { + "execution": { + "iopub.execute_input": "2024-01-10T00:25:47.407382Z", + "iopub.status.busy": "2024-01-10T00:25:47.406798Z", + "iopub.status.idle": "2024-01-10T00:25:47.465111Z", + "shell.execute_reply": "2024-01-10T00:25:47.464459Z" + } + }, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "%matplotlib inline\n", + "import matplotlib\n", + "import matplotlib.pyplot as plt\n", + "plt.imshow(X_train[0], cmap=\"binary\")\n", + "plt.axis('off')\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + }, + "tags": [] + }, + "source": [ + "### Build CNN model" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": { + "execution": { + "iopub.execute_input": "2024-01-10T00:25:47.468394Z", + "iopub.status.busy": "2024-01-10T00:25:47.468154Z", + "iopub.status.idle": "2024-01-10T00:25:47.550288Z", + "shell.execute_reply": "2024-01-10T00:25:47.549569Z" + } + }, + "outputs": [], + "source": [ + "model = keras.models.Sequential([\n", + " \n", + " keras.layers.Conv2D(filters=4, kernel_size=7, activation=\"relu\", padding=\"same\", \n", + " input_shape=[28, 28, 1]),\n", + " keras.layers.MaxPooling2D(pool_size=2),\n", + "\n", + " keras.layers.Flatten(),\n", + " keras.layers.Dense(units=8, activation='relu'),\n", + " keras.layers.Dense(units=10, activation='softmax'),\n", + "])" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": { + "execution": { + "iopub.execute_input": "2024-01-10T00:25:47.553524Z", + "iopub.status.busy": "2024-01-10T00:25:47.553280Z", + "iopub.status.idle": "2024-01-10T00:25:47.567220Z", + "shell.execute_reply": "2024-01-10T00:25:47.566688Z" + }, + "slideshow": { + "slide_type": "subslide" + }, + "tags": [] + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Model: \"sequential\"\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "_________________________________________________________________\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + " Layer (type) Output Shape Param # \n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "=================================================================\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + " conv2d (Conv2D) (None, 28, 28, 4) 200 \n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + " \n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + " max_pooling2d (MaxPooling2 (None, 14, 14, 4) 0 \n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + " D) \n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + " \n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + " flatten (Flatten) (None, 784) 0 \n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + " \n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + " dense (Dense) (None, 8) 6280 \n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + " \n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + " dense_1 (Dense) (None, 10) 90 \n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + " \n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "=================================================================\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Total params: 6570 (25.66 KB)\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Trainable params: 6570 (25.66 KB)\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Non-trainable params: 0 (0.00 Byte)\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "_________________________________________________________________\n" + ] + } + ], + "source": [ + "model.summary()" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + }, + "tags": [] + }, + "source": [ + "### Compile and fit model" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": { + "execution": { + "iopub.execute_input": "2024-01-10T00:25:47.573511Z", + "iopub.status.busy": "2024-01-10T00:25:47.572888Z", + "iopub.status.idle": "2024-01-10T00:26:27.934056Z", + "shell.execute_reply": "2024-01-10T00:26:27.933483Z" + } + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Epoch 1/3\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\r", + " 1/938 [..............................] - ETA: 14:52 - loss: 2.4321 - accuracy: 0.1562" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\r", + " 7/938 [..............................] - ETA: 8s - loss: 2.3253 - accuracy: 0.1607 " + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + 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] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Epoch 3/3\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\r", + " 1/938 [..............................] - ETA: 9s - loss: 0.2851 - accuracy: 0.9062" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\r", + " 7/938 [..............................] - ETA: 8s - loss: 0.3609 - accuracy: 0.8750" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\r", + " 13/938 [..............................] - ETA: 8s - loss: 0.3731 - accuracy: 0.8678" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + 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accuracy: 0.8485" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\r", + "313/313 [==============================] - 1s 4ms/step - loss: 0.4359 - accuracy: 0.8493\n" + ] + }, + { + "data": { + "text/plain": [ + "[0.4358906149864197, 0.8493000268936157]" + ] + }, + "execution_count": 8, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "model.compile(loss=\"sparse_categorical_crossentropy\", optimizer=\"nadam\", metrics=[\"accuracy\"])\n", + "history = model.fit(X_train, y_train, epochs=3, validation_data=(X_valid, y_valid))\n", + "model.evaluate(X_test, y_test)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "slideshow": { + "slide_type": "subslide" + }, + "tags": [ + "exercise_pointer" + ] + }, + "source": [ + "**Exercises:** *You can now complete Exercise 1 in the exercises associated with this lecture.*" + ] + } + ], + "metadata": { + "celltoolbar": "Slideshow", + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.8.18" + } + }, + "nbformat": 4, + "nbformat_minor": 4 +} diff --git a/week5/Lecture15_DeepCNN.ipynb b/week5/Lecture15_DeepCNN.ipynb new file mode 100644 index 0000000..953174d --- /dev/null +++ b/week5/Lecture15_DeepCNN.ipynb @@ -0,0 +1,1484 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "id": "33d0dc33-df81-463f-84a7-3ff36b8ac6ad", + "metadata": { + "slideshow": { + "slide_type": "slide" + }, + "tags": [] + }, + "source": [ + "# Lecture 15: Deep CNN architectures" + ] + }, + { + "cell_type": "markdown", + "id": "5fdcc63b-2ef4-4a6f-8087-1c2407255169", + "metadata": { + "slideshow": { + "slide_type": "skip" + } + }, + "source": [ + "![](https://www.tensorflow.org/images/colab_logo_32px.png)\n", + "[Run in colab](https://colab.research.google.com/drive/1kD3_vXFwesra2AhY-_SribsZ2a1bI82A)" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "id": "4fd69b7e-c369-4fca-a5b8-a7812573279b", + "metadata": { + "execution": { + "iopub.execute_input": "2024-01-10T00:30:27.675329Z", + "iopub.status.busy": "2024-01-10T00:30:27.674913Z", + "iopub.status.idle": "2024-01-10T00:30:27.683754Z", + "shell.execute_reply": "2024-01-10T00:30:27.683067Z" + }, + "slideshow": { + "slide_type": "skip" + }, + "tags": [] + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Version: 2024-01-10 00:30:27\n" + ] + } + ], + "source": [ + "import datetime\n", + "now = datetime.datetime.now()\n", + "print(\"Version: \" + now.strftime(\"%Y-%m-%d %H:%M:%S\"))" + ] + }, + { + "cell_type": "markdown", + "id": "f002948c-4d58-4ff5-9f61-16abf416cd2d", + "metadata": { + "slideshow": { + "slide_type": "slide" + }, + "tags": [] + }, + "source": [ + "## Classical CNN architecture" + ] + }, + { + "cell_type": "markdown", + "id": "a869adea-e0db-4c0a-946d-ffd1e560225c", + "metadata": { + "slideshow": { + "slide_type": "subslide" + }, + "tags": [] + }, + "source": [ + "### General CNN architecture\n", + "\n", + "- (convolution, activation, pooling) $\\times N_1$\n", + "- (fully connected layer) $\\times N_2$\n", + "\n", + "\n" + ] + }, + { + "cell_type": "markdown", + "id": "562f0737-4d4d-4219-af48-d6aaf575a132", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "\"Drawing\"\n", + "\n", + "[Credit: Geron]" + ] + }, + { + "cell_type": "markdown", + "id": "828af899-d3c8-4256-9eb5-c6a998a52284", + "metadata": { + "slideshow": { + "slide_type": "subslide" + }, + "tags": [] + }, + "source": [ + "### Decreasing resolution and increasing number of channels\n", + "\n", + "In typical architectures decrease image resolution and increase number of channels as progress deeper in the network.\n", + "\n", + "Decreasing image resolution (with the same convolutional kernel size), acts to increase the size of the receptor field of neurons as progress deeper in the network.\n", + "\n", + "Increasing number of channels (i.e. filters), provides larger feature set (and is computationally possible since image resolution decreased).\n", + "\n", + "\n", + "\n" + ] + }, + { + "cell_type": "markdown", + "id": "3f644b11-666a-4be7-bf44-987e89fb94f4", + "metadata": { + "slideshow": { + "slide_type": "subslide" + }, + "tags": [] + }, + "source": [ + "#### For example VGG-16" + ] + }, + { + "cell_type": "markdown", + "id": "4ba511fb-5851-4d16-b377-d5bc8f87e463", + "metadata": {}, + "source": [ + "\n", + "\n" + ] + }, + { + "cell_type": "markdown", + "id": "1fb4dfd5-748f-4f37-8032-e172542bf1ef", + "metadata": {}, + "source": [ + "Networks becoming very deep, e.g. VGG-16 has 138 million parameters.\n", + "\n", + "Even the techniques we have discussed for training deep networks can begin to struggle." + ] + }, + { + "cell_type": "markdown", + "id": "d84a09ba-d67b-402f-9066-599ed92d2b24", + "metadata": { + "slideshow": { + "slide_type": "slide" + }, + "tags": [] + }, + "source": [ + "## ResNet" + ] + }, + { + "cell_type": "markdown", + "id": "f39632d2-477e-4c1d-b027-7a3624a052b5", + "metadata": {}, + "source": [ + "ResNets (residual networks) were introduced to mitigate problems of training deep networks.\n", + "\n", + "Introduce skip connections, which are a common feature of many of the latest cutting-edge deep learning architectures being developed today." + ] + }, + { + "cell_type": "markdown", + "id": "1c962393-580d-4ff3-9da2-47211e05e66d", + "metadata": { + "slideshow": { + "slide_type": "subslide" + }, + "tags": [] + }, + "source": [ + "### Standard neural network block" + ] + }, + { + "cell_type": "markdown", + "id": "4ca246f8-2f4e-43a5-9b09-913f9731c986", + "metadata": {}, + "source": [ + "Recall the classical neural network block." + ] + }, + { + "cell_type": "markdown", + "id": "5f02dbcf-1bb5-491d-ad84-d72ea19a7fd7", + "metadata": {}, + "source": [ + "" + ] + }, + { + "cell_type": "markdown", + "id": "4c5be1db-df15-4d91-9375-69ccad7916d1", + "metadata": {}, + "source": [ + "[[Credit (modified)](https://medium.com/machine-learning-bites/deeplearning-series-convolutional-neural-networks-a9c2f2ee1524)]" + ] + }, + { + "cell_type": "markdown", + "id": "00e2b0d4-8b7b-4609-b1da-9fa19a9d87a9", + "metadata": { + "slideshow": { + "slide_type": "subslide" + }, + "tags": [] + }, + "source": [ + "### Residual block" + ] + }, + { + "cell_type": "markdown", + "id": "7674f512-9f75-4122-901e-98c13d4102e6", + "metadata": {}, + "source": [ + "ResNets introduce a residual block, with a connection that skips a layer and connects the activations of one layer to another layer deeper in the network." + ] + }, + { + "cell_type": "markdown", + "id": "e2e49475-ae0c-4f6c-a9af-7c0c56ead443", + "metadata": {}, + "source": [ + "" + ] + }, + { + "cell_type": "markdown", + "id": "0ba40032-d9d2-46a3-a068-3c55125983cc", + "metadata": {}, + "source": [ + "[[Credit](https://medium.com/machine-learning-bites/deeplearning-series-convolutional-neural-networks-a9c2f2ee1524)]" + ] + }, + { + "cell_type": "markdown", + "id": "89b0362f-71fd-43b2-9f41-27d3f54559db", + "metadata": { + "slideshow": { + "slide_type": "fragment" + } + }, + "source": [ + "Information can flow directly from $a^{[l]}$ to $a^{[l+2]}$, and so can more easily\n", + "flow deeper in network.\n", + "\n", + "The connection is drawn as connecting *into* the subsequent layer (rather than after it) since the connection is typically made *before* the non-linear activation function, e.g. ReLU." + ] + }, + { + "cell_type": "markdown", + "id": "fc1a236f-8968-4518-9051-7ca9a42d352a", + "metadata": { + "slideshow": { + "slide_type": "subslide" + }, + "tags": [] + }, + "source": [ + "### Residual connection\n", + "\n", + "The residual connection involves *adding* the earlier activation, which is typically added before the activation." + ] + }, + { + "cell_type": "markdown", + "id": "d8253b47-0768-48ef-8048-48912b6e7bea", + "metadata": {}, + "source": [ + "" + ] + }, + { + "cell_type": "markdown", + "id": "caeb0c83-6709-47c7-b8ba-9602e4b808e2", + "metadata": {}, + "source": [ + "[[Credit](https://medium.com/machine-learning-bites/deeplearning-series-convolutional-neural-networks-a9c2f2ee1524)]" + ] + }, + { + "cell_type": "markdown", + "id": "77d70814-686b-4ac9-b166-1fd93a372808", + "metadata": { + "slideshow": { + "slide_type": "subslide" + }, + "tags": [] + }, + "source": [ + "### Residual network architecture" + ] + }, + { + "cell_type": "markdown", + "id": "7679a29a-e691-4539-8b28-5dc3fdbcf373", + "metadata": {}, + "source": [ + "ResNet architectures constructed by concatenating residual blocks." + ] + }, + { + "cell_type": "markdown", + "id": "40da97c4-cd05-4d8b-8efc-bd8a1e41cc84", + "metadata": {}, + "source": [ + "#### Standard architecture\n", + "\n", + "\n", + "[[Credit: He et al.](https://arxiv.org/abs/1512.03385)]" + ] + }, + { + "cell_type": "markdown", + "id": "f46b8fbf-aa55-42bc-8dd2-a085b0460b31", + "metadata": {}, + "source": [ + "#### ResNet architecture\n", + "\n", + "\n", + "[[Credit: He et al.](https://arxiv.org/abs/1512.03385)]" + ] + }, + { + "cell_type": "markdown", + "id": "b6b7786e-bbe5-45e9-a32c-3461477c0254", + "metadata": { + "slideshow": { + "slide_type": "fragment" + }, + "tags": [] + }, + "source": [ + "In order to add activations at different levels, must have compatible shapes.\n", + "\n", + "ResNets architectures often include operations that preseve the shape of activations. When shapes are not preservered a suitable adjustment is made in the skip connection, e.g. downsampling." + ] + }, + { + "cell_type": "markdown", + "id": "2a890575-c40b-4ab4-b03a-d7fe110212f3", + "metadata": { + "slideshow": { + "slide_type": "subslide" + }, + "tags": [] + }, + "source": [ + "### Why are ResNets effective?" + ] + }, + { + "cell_type": "markdown", + "id": "221ecc6f-c14f-48a4-a301-abfc4d8cf5d7", + "metadata": {}, + "source": [ + "ResNets revise the computation of the next activation as follows:\n", + "\\begin{align*}\n", + "a^{[l+2]} = g(z^{[l+2]}) \\rightarrow\n", + "a^{[l+2]} = g(z^{[l+2]} + a^{[l]}) .\n", + "\\end{align*}" + ] + }, + { + "cell_type": "markdown", + "id": "a4beaa68-7ab9-45be-8822-b824d79b9b37", + "metadata": { + "slideshow": { + "slide_type": "fragment" + }, + "tags": [] + }, + "source": [ + "Expanding this out in terms of the intermediate activation:\n", + "\\begin{align*}\n", + "a^{[l+2]} &= g(z^{[l+2]} + a^{[l]}) \\\\\n", + "&= g(W^{[l+2]} a^{[l+1]} + b^{[l+2]} + a^{[l]}) .\n", + "\\end{align*}" + ] + }, + { + "cell_type": "markdown", + "id": "b65e46fd-3236-42d1-8597-1c5deb20753f", + "metadata": { + "slideshow": { + "slide_type": "fragment" + }, + "tags": [] + }, + "source": [ + "Relatively easy for network to learn $W^{[l+2]}=0$ and $b^{[l+2]}=0$ (particularly with small weight initialisation and regularisation).\n", + "\n", + "Then, for ReLU, $a^{[l+2]} = g(a^{[l]}) = a^{[l]}$." + ] + }, + { + "cell_type": "markdown", + "id": "9129aaf2-14ec-435b-81fd-a5e537a67bfe", + "metadata": { + "slideshow": { + "slide_type": "fragment" + }, + "tags": [] + }, + "source": [ + "So adding additional blocks generally shouldn't hinder performance and has the potential to further improve performance (each block can learn a residual to improve performance or leave essentially unchanged)." + ] + }, + { + "cell_type": "markdown", + "id": "4d204271-4b5d-424f-a5b8-79cbbb033f6c", + "metadata": { + "slideshow": { + "slide_type": "subslide" + }, + "tags": [] + }, + "source": [ + "### Performance for deep networks\n", + "\n", + "Due to issues with training deep standard networks, performance generally starts to decrease if the network get too deep.\n", + "\n", + "For ResNets, increasing depth generally continues to lead to improving performance." + ] + }, + { + "cell_type": "markdown", + "id": "40678721-62f3-4504-801d-e2737562b47e", + "metadata": {}, + "source": [ + "" + ] + }, + { + "cell_type": "markdown", + "id": "88bcaccb-75c2-47fd-8aff-e4a9e95ff9b7", + "metadata": {}, + "source": [ + "[[Credit](https://medium.com/machine-learning-bites/deeplearning-series-convolutional-neural-networks-a9c2f2ee1524)]" + ] + }, + { + "cell_type": "markdown", + "id": "af2faa20-4b75-41f3-9adb-7081e1df9a21", + "metadata": { + "slideshow": { + "slide_type": "subslide" + }, + "tags": [] + }, + "source": [ + "### Skip connections\n", + "\n", + "The residual connection is an example of a skip connection.\n", + "\n", + "In ResNets, the connection is made by *adding* activations. Alternatively, one could also concatenate layers to allow information to flow deeper into the network more easily.\n", + "\n", + "Skip connections are a useful concept used widely in many cutting-edge architectures.\n", + "\n", + "Will see concept again later in this lecture when we look at UNets." + ] + }, + { + "cell_type": "markdown", + "id": "91615aea-da5e-466d-8732-fb935dfc02d8", + "metadata": { + "slideshow": { + "slide_type": "subslide" + }, + "tags": [ + "exercise_pointer" + ] + }, + "source": [ + "**Exercises:** *You can now complete Exercise 1 in the exercises associated with this lecture.*" + ] + }, + { + "cell_type": "markdown", + "id": "7b5a1fba-5110-4ddd-bcd3-7f52845f31f2", + "metadata": { + "slideshow": { + "slide_type": "slide" + }, + "tags": [] + }, + "source": [ + "## Inception " + ] + }, + { + "cell_type": "markdown", + "id": "da5e461d-514e-4b6f-aab5-f8207a5d8450", + "metadata": { + "slideshow": { + "slide_type": "subslide" + }, + "tags": [] + }, + "source": [ + "### Motivation for Inception\n", + "\n", + "What size convolutional kernel should we use?\n", + "\n", + "Can decide empirically by cross-validation but could also use many at once and let network decide how to combine.\n", + "\n", + "This is the general idea behind the Inception module. \n", + "\n", + "Leverages 1x1 convolutions." + ] + }, + { + "cell_type": "markdown", + "id": "c121758f-f671-4321-bb8d-fefc2bec510e", + "metadata": { + "slideshow": { + "slide_type": "subslide" + }, + "tags": [] + }, + "source": [ + "### 1x1 convolution" + ] + }, + { + "cell_type": "markdown", + "id": "875ffd3e-7cad-481b-937e-9e587ef8a5a9", + "metadata": {}, + "source": [ + "1x1 convolution is a powerful layer used in many cutting-edge deep learning architectures." + ] + }, + { + "cell_type": "markdown", + "id": "3a9dda28-eb3b-4ea3-b479-3963d198e119", + "metadata": { + "slideshow": { + "slide_type": "fragment" + } + }, + "source": [ + "But isn't a 1x1 convolution just multiplying by a number?\n", + "\n", + "It is for a single channel but not when considering multiple input and output channels." + ] + }, + { + "cell_type": "markdown", + "id": "08f29b3a-7e2e-4530-bd4b-4c6a972a2e0d", + "metadata": { + "slideshow": { + "slide_type": "subslide" + }, + "tags": [] + }, + "source": [ + "#### Graphical illustration of 1x1 convolution" + ] + }, + { + "cell_type": "markdown", + "id": "2a83c1a2-eea5-423f-874f-b9ca1b5427c7", + "metadata": {}, + "source": [ + "" + ] + }, + { + "cell_type": "markdown", + "id": "655e4780-b2b9-4afa-804f-11423a9cbbc6", + "metadata": {}, + "source": [ + "When have multiple input channels, weighting, summation, and activation applied across channels.\n", + "\n", + "Acts like a fully-connected neural network across channels. Sometimes called *network in a network*.\n", + "\n", + "Then repeat with multiple filters to create multiple output channels." + ] + }, + { + "cell_type": "markdown", + "id": "4057896e-b577-45c9-bf33-501fcbf7a767", + "metadata": { + "slideshow": { + "slide_type": "subslide" + }, + "tags": [] + }, + "source": [ + "#### 1x1 convolution to control channel size" + ] + }, + { + "cell_type": "markdown", + "id": "40c30b53-4815-45dc-bc84-4586660096ad", + "metadata": {}, + "source": [ + "1x1 convolutions often used to control the number of channels at intermediate points in a network, e.g. as a channel bottleneck (as well see shortly in the Inception module).\n", + "\n", + "\n" + ] + }, + { + "cell_type": "markdown", + "id": "5d26ee5f-f5bf-4de3-9b12-34a7a47e44ea", + "metadata": { + "slideshow": { + "slide_type": "subslide" + }, + "tags": [] + }, + "source": [ + "### Inception module" + ] + }, + { + "cell_type": "markdown", + "id": "2434c5af-0cfc-4abe-989a-e34791e924ff", + "metadata": {}, + "source": [ + "We saw how 1x1 convolutions can be considered as a *network in a network*.\n", + "\n", + "Need to go deeper!" + ] + }, + { + "cell_type": "markdown", + "id": "9bad5892-9b75-49d9-9069-3d92bbac26dd", + "metadata": {}, + "source": [ + "" + ] + }, + { + "cell_type": "markdown", + "id": "961d2656-9b11-4163-88e6-fa758d44b692", + "metadata": { + "slideshow": { + "slide_type": "subslide" + }, + "tags": [] + }, + "source": [ + "#### General Inception module\n", + "\n", + "Consider multiple kernel sizes at once and a pooling layer. Then concatenate outputs.\n", + "\n", + "\n", + "\n", + "[[Credit: Szegedy et al.](https://arxiv.org/abs/1409.4842)]" + ] + }, + { + "cell_type": "markdown", + "id": "025d6206-65e0-454a-b96e-837b153d2455", + "metadata": { + "slideshow": { + "slide_type": "fragment" + }, + "tags": [] + }, + "source": [ + "This architecture can quickly become computationally demanding." + ] + }, + { + "cell_type": "markdown", + "id": "1ccca0ea-4d39-4b15-b981-0f0324e280ac", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "#### Inception module with 1x1 convolutions\n", + "\n", + "Include 1x1 convolutions as a channel bottleneck to reduce computational cost.\n", + "\n", + "\n", + "\n", + "[[Credit: Szegedy et al.](https://arxiv.org/abs/1409.4842)]" + ] + }, + { + "cell_type": "markdown", + "id": "48703c50-3c2b-4b02-9bdd-d2f2ddad4861", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "#### Example of Inception module computational costs\n", + "\n", + "Consider a 28x28 input feature map, with 192 channels. Require an output map with resolution 28x28 and 32 channels (\"same\" convolution so input and output resolutions the same)." + ] + }, + { + "cell_type": "markdown", + "id": "b45ae21a-1a9b-452c-9484-dc44fe62d12e", + "metadata": { + "slideshow": { + "slide_type": "fragment" + }, + "tags": [] + }, + "source": [ + "##### Standard convolutional layer\n", + "\n", + "\n", + "\n", + "[[Credit](https://medium.com/machine-learning-bites/deeplearning-series-convolutional-neural-networks-a9c2f2ee1524)]" + ] + }, + { + "cell_type": "markdown", + "id": "4361812b-7be8-4038-ac37-a3c550300e92", + "metadata": {}, + "source": [ + "Number of flops = (28 x 28 x 32) x (5 x 5 x 192) = 120,422,400 = 120 million" + ] + }, + { + "cell_type": "markdown", + "id": "99e8c2f5-d817-4eab-8c48-6f97d94ff887", + "metadata": { + "slideshow": { + "slide_type": "subslide" + }, + "tags": [] + }, + "source": [ + "##### 1x1 convolution bottleneck\n", + "\n", + "\n", + "\n", + "[[Credit](https://medium.com/machine-learning-bites/deeplearning-series-convolutional-neural-networks-a9c2f2ee1524)]" + ] + }, + { + "cell_type": "markdown", + "id": "842a51a4-6b63-4bac-b127-e42af152b948", + "metadata": {}, + "source": [ + "Number of flops = (28 x 28 x 16) x (1 x 1 x 192) + (28 x 28 x 32) x (5 x 5 x 16) = 2,408,448 + 10,035,200 = 12 million" + ] + }, + { + "cell_type": "markdown", + "id": "123d9d02-ff58-4d2b-bd5a-c55442d87129", + "metadata": {}, + "source": [ + "Generally, performance is not significantly degraded (within reason)." + ] + }, + { + "cell_type": "markdown", + "id": "dbffb188-a78f-412b-81c7-cd090ca69c61", + "metadata": { + "slideshow": { + "slide_type": "subslide" + }, + "tags": [] + }, + "source": [ + "### Inception network / GoogLeNet architecture\n", + "\n", + "Overall Inception network architecture (also called GoogLeNet, cf. LeNet) involves combining multiple Inception modules." + ] + }, + { + "cell_type": "markdown", + "id": "05646249-ee28-4efa-800b-b1db4df1dbaf", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "#### Inception module (from above but drawn sideways)\n", + "\n", + "" + ] + }, + { + "cell_type": "markdown", + "id": "044f8059-e213-4aa2-96a9-e53963c1f0f7", + "metadata": { + "slideshow": { + "slide_type": "fragment" + }, + "tags": [] + }, + "source": [ + "#### Inception network\n", + "\n", + "\n", + "\n", + "[[Credit: Szegedy et al.](https://arxiv.org/abs/1409.4842)]" + ] + }, + { + "cell_type": "markdown", + "id": "1b15aed8-d766-447c-8a38-5df68b6f8d21", + "metadata": { + "slideshow": { + "slide_type": "slide" + } + }, + "source": [ + "## MobileNet" + ] + }, + { + "cell_type": "markdown", + "id": "d14bbda8-45b2-4efb-949a-1410aa8a620c", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "### Motivation for MobileNet\n", + "\n", + "The architectures we've seen above are computationally demanding (even when leveraging 1x1 convolution channel bottlenecks).\n", + "\n", + "MobileNet architecture provides a more computationally efficient architecture, for example for low cost deployment on mobile devices (hence its name).\n", + "\n", + "Based on *depthwise separable convolution*, which includes a *depthwise convolution*, followed by a *pointwise convolution*." + ] + }, + { + "cell_type": "markdown", + "id": "62c86cf9-d6a4-4849-b849-cdee84df150b", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "### Recap standard convolution" + ] + }, + { + "cell_type": "markdown", + "id": "5f349d12-a284-43a3-b0f7-62ec2d476b98", + "metadata": {}, + "source": [ + "#### Multiple input channels, single output channel" + ] + }, + { + "cell_type": "markdown", + "id": "6c2bd748-728e-4d43-8e33-eba17ee03914", + "metadata": {}, + "source": [ + "Consider 5x5 kernel with no padding and stride of one.\n", + "\n", + "\n", + "\n", + "[[Credit](https://towardsdatascience.com/a-basic-introduction-to-separable-convolutions-b99ec3102728)]" + ] + }, + { + "cell_type": "markdown", + "id": "bdeb5ae9-7d08-4a6b-99c6-5d5c71645be3", + "metadata": {}, + "source": [ + "Number of flops = (8 x 8) x (5 x 5 x 3) = 4,800 (no padding)" + ] + }, + { + "cell_type": "markdown", + "id": "83fb19c6-c133-4c5f-a645-98f22ac83eb6", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "#### Multiple input channels, multiple output channels\n", + "\n", + "Repeat the above for each output channel." + ] + }, + { + "cell_type": "markdown", + "id": "6b876323-6d84-459c-b3d3-ba9a544bad2d", + "metadata": {}, + "source": [ + "\n", + "\n", + "[[Credit](https://towardsdatascience.com/a-basic-introduction-to-separable-convolutions-b99ec3102728)]" + ] + }, + { + "cell_type": "markdown", + "id": "c45b0f97-e134-4dbf-ad5d-96656b8a70e9", + "metadata": {}, + "source": [ + "Number of flops = (8 x 8 x 256) x (5 x 5 x 3) = 1,228,800 = 1.2 million" + ] + }, + { + "cell_type": "markdown", + "id": "c53318fd-6018-4f1b-9f00-b19b8d829079", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "### Depthwise convolution\n", + "\n", + "One filter for each channel (no summation over channels). Number of input and output channels are the same." + ] + }, + { + "cell_type": "markdown", + "id": "aee7ebd7-165c-476a-8cad-846a0789d613", + "metadata": {}, + "source": [ + "\n", + "\n", + "[[Credit](https://towardsdatascience.com/a-basic-introduction-to-separable-convolutions-b99ec3102728)]" + ] + }, + { + "cell_type": "markdown", + "id": "3978109d-3ca0-4187-ac91-90ce07c0ea86", + "metadata": {}, + "source": [ + "Number of flops = (8 x 8) x (5 x 5) x 3 = 4,800" + ] + }, + { + "cell_type": "markdown", + "id": "262e0b27-49a6-428b-8103-704f303097b9", + "metadata": { + "slideshow": { + "slide_type": "fragment" + } + }, + "source": [ + "Computation cost reduced to setting of a single output channel.\n", + "\n", + "But no mixing across channels and number of output channels must be identical to input." + ] + }, + { + "cell_type": "markdown", + "id": "5d6c7644-2da7-400f-831c-9a11f3b96625", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "### Pointwise convolution\n", + "\n", + "Introduce mixing of output channels using pointwise convolutions (1x1 convolutions). " + ] + }, + { + "cell_type": "markdown", + "id": "c2c22710-1313-4f43-b74d-fcd98c586c16", + "metadata": {}, + "source": [ + "\n", + "\n", + "[[Credit](https://towardsdatascience.com/a-basic-introduction-to-separable-convolutions-b99ec3102728)]" + ] + }, + { + "cell_type": "markdown", + "id": "29be5fe8-b72d-47a3-bec6-83afd02bc138", + "metadata": {}, + "source": [ + "Number of flops = (8 x 8) x (1 x 1 x 3) = 192" + ] + }, + { + "cell_type": "markdown", + "id": "cfae4e5a-bcc8-404e-893e-93d8357ee20f", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "Can also control number of output channels." + ] + }, + { + "cell_type": "markdown", + "id": "2341097d-e426-46e4-b28a-3b90c60a4caa", + "metadata": { + "slideshow": { + "slide_type": "-" + }, + "tags": [] + }, + "source": [ + "\n", + "\n", + "[[Credit](https://towardsdatascience.com/a-basic-introduction-to-separable-convolutions-b99ec3102728)]" + ] + }, + { + "cell_type": "markdown", + "id": "84081514-fd4d-4635-858e-a401bc54409a", + "metadata": {}, + "source": [ + "Number of flops = (8 x 8 x 256) x (1 x 1 x 3) = 49,152" + ] + }, + { + "cell_type": "markdown", + "id": "45a52d94-69d6-4acf-bb75-1149d06e5049", + "metadata": { + "slideshow": { + "slide_type": "subslide" + }, + "tags": [] + }, + "source": [ + "### Depthwise separable convolutions\n", + "\n", + "Depthwise separable convolutions include depthwise convolution, followed by pointwise convolution. Separable since we separate the spatial and channel mixing." + ] + }, + { + "cell_type": "markdown", + "id": "52966a51-7360-44eb-919f-2ce7ed800068", + "metadata": {}, + "source": [ + "\n", + "\n", + "[[Credit](https://www.researchgate.net/figure/Depthwise-separable-convolution-block_fig1_343943234)]" + ] + }, + { + "cell_type": "markdown", + "id": "f1d8c939-3cb3-416a-87b5-2f1e5e6e2227", + "metadata": {}, + "source": [ + "In the example considered above, 1.2 million flops (standard convolution) $\\rightarrow$ 4,800 (depthwise convolutions) + 49,152 (pointwise convolutions) = 53,952 (same output resolution and number of channels)." + ] + }, + { + "cell_type": "markdown", + "id": "abafc35a-3c9c-4be3-9d54-b0cd7e38b415", + "metadata": {}, + "source": [ + "Generally, performance is not significantly degraded (within reason)." + ] + }, + { + "cell_type": "markdown", + "id": "08db1943-7820-4f7a-a1cf-b45b6e027264", + "metadata": { + "slideshow": { + "slide_type": "subslide" + }, + "tags": [] + }, + "source": [ + "### MobileNet architectures" + ] + }, + { + "cell_type": "markdown", + "id": "27b82377-db73-49cc-88c0-762c631c2bea", + "metadata": {}, + "source": [ + "#### MobileNet v1\n", + "\n", + "Use depthwise separable convolutions as building block for architecture." + ] + }, + { + "cell_type": "markdown", + "id": "d7f190c7-6cba-41c1-921b-c5ef82926485", + "metadata": {}, + "source": [ + "\n", + "\n", + "[[Credit](https://www.coursera.org/learn/convolutional-neural-networks/)]" + ] + }, + { + "cell_type": "markdown", + "id": "8584a3ac-7a07-45d2-98a4-f9ed14ac5eee", + "metadata": { + "slideshow": { + "slide_type": "subslide" + }, + "tags": [] + }, + "source": [ + "#### MobileNet v2\n", + "\n", + "Add a pointwise 1x1 convolution before the depthwise separable convolution to increase number of channels in the intermediate stage (results in inverted channel bottleneck).\n", + "\n", + "Also include residual connection (same as ResNet)." + ] + }, + { + "cell_type": "markdown", + "id": "e615c9f9-3760-43c6-811b-a9f98f1d6e84", + "metadata": {}, + "source": [ + "\n", + "\n", + "[[Credit](https://www.coursera.org/learn/convolutional-neural-networks/)]" + ] + }, + { + "cell_type": "markdown", + "id": "67d0124e-461b-4c7f-b60d-45f67519f545", + "metadata": { + "slideshow": { + "slide_type": "slide" + }, + "tags": [] + }, + "source": [ + "## UNet" + ] + }, + { + "cell_type": "markdown", + "id": "12ca143a-77ff-473d-975f-2b85cdb601ed", + "metadata": { + "slideshow": { + "slide_type": "subslide" + }, + "tags": [] + }, + "source": [ + "### Motivation for UNet\n", + "\n", + "So far we've considered problems where the ouputs of the machine learning model are very low resolution, e.g. classification, low-dimensional regression.\n", + "\n", + "For many problems we require high-resolution outputs for dense predictions.\n", + "\n", + "We need to modify architectures to support dense predictions." + ] + }, + { + "cell_type": "markdown", + "id": "225652bb-bd9e-4c42-94d9-cf0be66674c9", + "metadata": { + "slideshow": { + "slide_type": "subslide" + }, + "tags": [] + }, + "source": [ + "#### Semantic segmentation\n", + "\n", + "Semantic segmentation is a common type of problem where we require a high-resolution output with dense predictions.\n", + "\n", + "Goal is to predict a class for every single pixel in an image.\n", + "\n", + "\n", + "\n", + "[[Credit](https://www.jeremyjordan.me/semantic-segmentation/)]" + ] + }, + { + "cell_type": "markdown", + "id": "56aff601-9467-4db8-a4fa-dd8b38fa90e7", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "#### Segmentation of medical images\n", + "\n", + "The UNet architecture was initially proposed for segmentation of medical images but has proven useful widely.\n", + "\n", + "\n", + "\n", + "[[Credit](https://arxiv.org/abs/1701.08816)]" + ] + }, + { + "cell_type": "markdown", + "id": "24b4b574-5607-4311-86c3-8b5ca6830daa", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "### General approach" + ] + }, + { + "cell_type": "markdown", + "id": "1c5eded1-f376-4f32-8e4d-c23ff7329e9e", + "metadata": {}, + "source": [ + "Naive approach is to adopt standard architectures and stay at high-resolutions" + ] + }, + { + "cell_type": "markdown", + "id": "41b60d4f-8d7b-4e67-8042-8fc40623a0be", + "metadata": {}, + "source": [ + "\n", + "\n", + "[[Credit](http://cs231n.stanford.edu/)]" + ] + }, + { + "cell_type": "markdown", + "id": "b4c62c4c-80f9-4b87-9ab7-0e5314d38853", + "metadata": {}, + "source": [ + "If don't reduce image resolutions through network, then we need very large kernels deeper into the network to have larger receptive fields. Also difficult to increase number of channels due to computational costs.\n", + "\n", + "Becomes extremely computationally demanding." + ] + }, + { + "cell_type": "markdown", + "id": "ef4c2875-f9f5-472b-ade9-fdc2a21f0de4", + "metadata": { + "slideshow": { + "slide_type": "subslide" + }, + "tags": [] + }, + "source": [ + "Alternative approach is to reduce image resolution through network as usual but then include subsequent layers to increase resolution." + ] + }, + { + "cell_type": "markdown", + "id": "3c801ee4-4211-4592-b49e-095421ccd003", + "metadata": {}, + "source": [ + "\n", + "\n", + "[[Credit](http://cs231n.stanford.edu/)]" + ] + }, + { + "cell_type": "markdown", + "id": "8baf1cf8-c4b8-47f6-bb8a-b4591a63142d", + "metadata": { + "slideshow": { + "slide_type": "fragment" + }, + "tags": [] + }, + "source": [ + "Require an upsampling layer." + ] + }, + { + "cell_type": "markdown", + "id": "2bdd926a-4b4f-441e-8e8d-c9bae8dbf282", + "metadata": { + "slideshow": { + "slide_type": "subslide" + }, + "tags": [] + }, + "source": [ + "### Transpose convolution\n", + "\n", + "Transpose convolutional layer provides a way to upsample images." + ] + }, + { + "cell_type": "markdown", + "id": "982289af-4b05-495a-b95e-b36c79297a92", + "metadata": { + "slideshow": { + "slide_type": "subslide" + } + }, + "source": [ + "#### Mathematical representation" + ] + }, + { + "cell_type": "markdown", + "id": "cf12c0b7-dcd0-4607-9a36-322f4610dec9", + "metadata": { + "slideshow": { + "slide_type": "-" + }, + "tags": [] + }, + "source": [ + "Recall the convolution output is given by\n", + "\\begin{align*}\n", + "z_{i,j} = \\sum_{u,v} w_{u-i,v-j} x_{u,v} ,\n", + "\\end{align*}\n", + "where $x$ is the input image, $w$ is the filter (kernel) and $i$ ($u$) and $j$ ($v$) denote row and column indices, respectively." + ] + }, + { + "cell_type": "markdown", + "id": "74eec71d-606a-402c-b002-39df67ac0034", + "metadata": {}, + "source": [ + "Can represent convolution in matrix form:\n", + "\n", + "\n", + "\n", + "Convolution applied by matrix multiplication with $\\mathsf{W}$." + ] + }, + { + "cell_type": "markdown", + "id": "bcc922d6-111f-4b0f-9525-a34d908268b2", + "metadata": { + "slideshow": { + "slide_type": "subslide" + }, + "tags": [] + }, + "source": [ + "Consider multiplication of transpose of $\\mathsf{W}$:\n", + "\n", + "" + ] + }, + { + "cell_type": "markdown", + "id": "e3ee179c-0732-4230-91d0-1ba51e9d58d5", + "metadata": {}, + "source": [ + "Can see transpose convolution involves placing shifted kernels down on *output*, weighting by input at shifted position and summing.\n", + "\n", + "Contrast with convolution, which involves placing shifted kernels down on *input*, weighting by inputs that overlap and summing." + ] + }, + { + "cell_type": "markdown", + "id": "d2921570-173c-46ae-9c9c-71965552533f", + "metadata": { + "slideshow": { + "slide_type": "subslide" + }, + "tags": [] + }, + "source": [ + "#### Graphical representation" + ] + }, + { + "cell_type": "markdown", + "id": "099f6660-0c44-4353-9a96-898e8729678f", + "metadata": {}, + "source": [ + "Consider input, kernel and output shape.\n", + "\n", + "" + ] + }, + { + "cell_type": "markdown", + "id": "01b2d4e3-566d-431e-a537-83b77602537c", + "metadata": { + "slideshow": { + "slide_type": "-" + } + }, + "source": [ + "Transpose convolution is given by placing shifted kernels down on *output*, weighting by input at shifted position and summing." + ] + }, + { + "cell_type": "markdown", + "id": "5be952ea-eeac-4cea-aa30-1f05b6648acf", + "metadata": { + "slideshow": { + "slide_type": "-" + } + }, + "source": [ + "\n", + "\n", + "[[Credit](https://towardsdatascience.com/transposed-convolution-demystified-84ca81b4baba#)]" + ] + }, + { + "cell_type": "markdown", + "id": "42beef37-3d8d-48e4-b40a-6e3f362e2050", + "metadata": { + "slideshow": { + "slide_type": "subslide" + }, + "tags": [] + }, + "source": [ + "### UNet architecture" + ] + }, + { + "cell_type": "markdown", + "id": "67f59b19-e004-4736-b4bc-29a583f2b93f", + "metadata": {}, + "source": [ + "UNet architecture leverages standard convolutions and pooling for downsampling stages.\n", + "\n", + "Then adopts transpose convolution for upsampling stages.\n", + "\n", + "Also includes skip connections to copy higher resolution feature maps from the downsampling path to the upsampling path." + ] + }, + { + "cell_type": "markdown", + "id": "86f59840-d73b-4f72-aa1d-6553377a630e", + "metadata": { + "slideshow": { + "slide_type": "-" + } + }, + "source": [ + "\n", + "\n", + "[[Credit](https://arxiv.org/abs/1505.04597)]" + ] + } + ], + "metadata": { + "celltoolbar": "Slideshow", + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.8.18" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/week7/Lecture19_UnsupervisedLearning.ipynb b/week7/Lecture19_UnsupervisedLearning.ipynb new file mode 100644 index 0000000..3c99b17 --- /dev/null +++ b/week7/Lecture19_UnsupervisedLearning.ipynb @@ -0,0 +1,3715 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "id": "f756c5c5", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "" + }, + "tags": [] + }, + "source": [ + "# Lecture 19: Unsupervised learning" + ] + }, + { + "cell_type": "markdown", + "id": "05e057af", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "skip" + }, + "tags": [] + }, + "source": [ + "![](https://www.tensorflow.org/images/colab_logo_32px.png)\n", + "[Run in colab](https://colab.research.google.com/drive/1N2lOE8YOXNuekxMtflQCB3eM3I6Bx7-w)" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "id": "bd0c5278", + "metadata": { + "editable": true, + "execution": { + "iopub.execute_input": "2025-03-07T05:32:18.896747Z", + "iopub.status.busy": "2025-03-07T05:32:18.896515Z", + "iopub.status.idle": "2025-03-07T05:32:18.902967Z", + "shell.execute_reply": "2025-03-07T05:32:18.902404Z" + }, + "slideshow": { + "slide_type": "skip" + }, + "tags": [] + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Last executed: 2025-03-07 05:32:18\n" + ] + } + ], + "source": [ + "import datetime\n", + "now = datetime.datetime.now()\n", + "print(\"Last executed: \" + now.strftime(\"%Y-%m-%d %H:%M:%S\"))" + ] + }, + { + "cell_type": "markdown", + "id": "fa389c67-03a7-46cc-b849-7963cd86ebc9", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "slide" + }, + "tags": [] + }, + "source": [ + "## Unsupervised learning overview" + ] + }, + { + "cell_type": "markdown", + "id": "d792ecf7-e0dd-4a17-a021-7cec1e0d5f83", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "subslide" + }, + "tags": [] + }, + "source": [ + "### Labelled data is scarce\n", + "\n", + "The majority of data is unlabeled: we have input features $\\mathbf{X}$, but no labels $\\mathbf{y}$." + ] + }, + { + "cell_type": "markdown", + "id": "01ba1b5a-00a3-443c-aad2-3b01d0a90b3e", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "" + }, + "tags": [] + }, + "source": [ + "Imagine that you want to detect defective items on a manufacturing line. You can collect images of the items on the manufacturing line easily and automatically, but if you want to train a classifier to predict whether an item is defective or not, you will need to label every image.\n", + "\n", + "This labelling generally requires human experts to sit down and go through the images by hand, which is time consuming, tedious, and prone to errors. As a result, labelling is often only done on a small subset of the available images.\n", + "\n", + "With unsupervised learning, you do not need labelled data!" + ] + }, + { + "cell_type": "markdown", + "id": "9b67f95a-003a-4d7e-9138-bff388491356", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "subslide" + }, + "tags": [] + }, + "source": [ + "### Types of unsupervised learning\n", + "\n", + "We will cover three types of unsupervised learning.\n", + "\n", + "1. *Clustering*: Group similar data instances into clusters.\n", + "2. *Density estimation*: Estimate the probability distribution of data (for use as a generative model to generate new data instances or to estimate probability densities).\n", + "3. *Anomaly detection*: Detect anomalous data." + ] + }, + { + "cell_type": "markdown", + "id": "f1aedd59-5c76-4866-ae55-0745009652fe", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "slide" + }, + "tags": [] + }, + "source": [ + "## Clustering with K-means" + ] + }, + { + "cell_type": "markdown", + "id": "d879db6b", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "slide" + }, + "tags": [] + }, + "source": [ + "### Clustering overview\n", + "\n", + "*Clustering* is the task of identifying similar instances and assigning them to *clusters*, or groups of similar instances.\n", + "\n", + "Consider the Iris dataset, which classifies each instance into one of three classes:" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "id": "43b2f3d8", + "metadata": { + "editable": true, + "execution": { + "iopub.execute_input": "2025-03-07T05:32:18.905064Z", + "iopub.status.busy": "2025-03-07T05:32:18.904894Z", + "iopub.status.idle": "2025-03-07T05:32:19.276111Z", + "shell.execute_reply": "2025-03-07T05:32:19.275469Z" + }, + "slideshow": { + "slide_type": "skip" + }, + "tags": [] + }, + "outputs": [], + "source": [ + "import numpy as np\n", + "%matplotlib inline\n", + "import matplotlib\n", + "import matplotlib.pyplot as plt" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "id": "a4916a09", + "metadata": { + "editable": true, + "execution": { + "iopub.execute_input": "2025-03-07T05:32:19.278360Z", + "iopub.status.busy": "2025-03-07T05:32:19.278122Z", + "iopub.status.idle": "2025-03-07T05:32:20.063169Z", + "shell.execute_reply": "2025-03-07T05:32:20.062447Z" + }, + "slideshow": { + "slide_type": "" + }, + "tags": [] + }, + "outputs": [ + { + "data": { + "text/plain": [ + "array(['setosa', 'versicolor', 'virginica'], dtype='" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(9, 3.5))\n", + "\n", + "plt.subplot(121)\n", + "plt.plot(X[y==0, 2], X[y==0, 3], \"yo\", label=\"Iris setosa\")\n", + "plt.plot(X[y==1, 2], X[y==1, 3], \"bs\", label=\"Iris versicolor\")\n", + "plt.plot(X[y==2, 2], X[y==2, 3], \"g^\", label=\"Iris virginica\")\n", + "plt.xlabel(\"Petal length\", fontsize=14)\n", + "plt.ylabel(\"Petal width\", fontsize=14)\n", + "plt.legend(fontsize=12)\n", + "\n", + "plt.subplot(122)\n", + "plt.scatter(X[:, 2], X[:, 3], c=\"k\", marker=\".\")\n", + "plt.xlabel(\"Petal length\", fontsize=14)\n", + "plt.tick_params(labelleft=False)\n", + "\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "c34d799b", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "" + }, + "tags": [] + }, + "source": [ + "When the instances are plotted without different markers to differentiate the classes, as in the figure on the right, it is not obvious that the upper-right cluster is composed of two distinct sub-clusters." + ] + }, + { + "cell_type": "markdown", + "id": "ade9d090", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "subslide" + }, + "tags": [] + }, + "source": [ + "There is no universal definition of what a cluster is. It depends on the context: different algorithms will capture different kinds of clusters.\n", + "\n", + "Some algorithms look for instances centered around a particular point, called a *centroid*. Others look for continuous regions of densely packed instances." + ] + }, + { + "cell_type": "markdown", + "id": "dddd23bc-a156-4ae1-bd94-5da2129779d7", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "subslide" + }, + "tags": [] + }, + "source": [ + "### K-means clustering overview" + ] + }, + { + "cell_type": "markdown", + "id": "3c73d2a5-ec56-4ea6-a496-10f66084984f", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "" + }, + "tags": [] + }, + "source": [ + "Cluster data into different subsets. \n", + "\n", + "First, let's consider how K-means represents clusters, then we'll consider the algorithm to find clusters.\n", + "\n", + "- Each cluster is defined by a centroid.\n", + "- Each data instance is allocated a cluster (equivalently, associated with a centroid)." + ] + }, + { + "cell_type": "markdown", + "id": "258dfb21", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "subslide" + }, + "tags": [] + }, + "source": [ + "Let's generate some blobs to use as a dataset, and run the K-Means algorithm for 1, 2, and 3 iterations to see how the centroids move around:" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "id": "52682b37-a58a-4647-9b52-2ec50a4ed106", + "metadata": { + "editable": true, + "execution": { + "iopub.execute_input": "2025-03-07T05:32:20.222313Z", + "iopub.status.busy": "2025-03-07T05:32:20.222127Z", + "iopub.status.idle": "2025-03-07T05:32:20.308963Z", + "shell.execute_reply": "2025-03-07T05:32:20.308289Z" + }, + "slideshow": { + "slide_type": "" + }, + "tags": [] + }, + "outputs": [], + "source": [ + "from sklearn.cluster import KMeans\n", + "from sklearn.datasets import make_blobs\n", + "blob_centers = np.array([[ 0.2, 2.3], [-1.5 , 2.3], [-2.8, 1.8],\n", + " [-2.8, 2.8], [-2.8, 1.3]])\n", + "blob_std = np.array([0.4, 0.3, 0.1, 0.1, 0.1])\n", + "X, y = make_blobs(n_samples=2000, centers=blob_centers, cluster_std=blob_std,\n", + " random_state=7)" + ] + }, + { + "cell_type": "markdown", + "id": "0d70af36-80ec-460d-b2ef-6f47b656dde7", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "" + }, + "tags": [] + }, + "source": [ + "Now let's plot them:" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "id": "d6ea16db-a3a4-4c10-bc45-c4e312ce118f", + "metadata": { + "editable": true, + "execution": { + "iopub.execute_input": "2025-03-07T05:32:20.311254Z", + "iopub.status.busy": "2025-03-07T05:32:20.311003Z", + "iopub.status.idle": "2025-03-07T05:32:20.452710Z", + "shell.execute_reply": "2025-03-07T05:32:20.451956Z" + }, + "slideshow": { + "slide_type": "" + }, + "tags": [] + }, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "def plot_clusters(X, y=None):\n", + " plt.scatter(X[:, 0], X[:, 1], c=y, s=1)\n", + " plt.xlabel(\"$x_1$\")\n", + " plt.ylabel(\"$x_2$\", rotation=0)\n", + "\n", + "plt.figure(figsize=(8, 4))\n", + "plot_clusters(X)\n", + "plt.gca().set_axisbelow(True)\n", + "plt.grid()" + ] + }, + { + "cell_type": "markdown", + "id": "d8cb1420-daa7-4e6c-8439-780eb9ee4b20", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "subslide" + }, + "tags": [] + }, + "source": [ + "#### Cluster with Scikit-Learn K-means" + ] + }, + { + "cell_type": "markdown", + "id": "4b3bb454-6d2a-4d6c-823f-a6481ace87a8", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "" + }, + "tags": [] + }, + "source": [ + "Must set number of clusters to consider." + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "id": "9b1a11fe-7599-469f-ba66-8aec5bd5e464", + "metadata": { + "editable": true, + "execution": { + "iopub.execute_input": "2025-03-07T05:32:20.455045Z", + "iopub.status.busy": "2025-03-07T05:32:20.454858Z", + "iopub.status.idle": "2025-03-07T05:32:20.516904Z", + "shell.execute_reply": "2025-03-07T05:32:20.516260Z" + }, + "slideshow": { + "slide_type": "" + }, + "tags": [] + }, + "outputs": [], + "source": [ + "k = 5\n", + "kmeans = KMeans(n_clusters=k, n_init=10, random_state=42)\n", + "y_pred = kmeans.fit_predict(X)" + ] + }, + { + "cell_type": "markdown", + "id": "263eeb26-1ef1-408b-828e-027b12b5e65a", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "" + }, + "tags": [] + }, + "source": [ + "Each instance assigned to one of the five clusters:" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "id": "473e5159-d2e4-460f-9369-8a4ddd660d64", + "metadata": { + "editable": true, + "execution": { + "iopub.execute_input": "2025-03-07T05:32:20.520073Z", + "iopub.status.busy": "2025-03-07T05:32:20.519823Z", + "iopub.status.idle": "2025-03-07T05:32:20.526424Z", + "shell.execute_reply": "2025-03-07T05:32:20.525803Z" + }, + "slideshow": { + "slide_type": "" + }, + "tags": [] + }, + "outputs": [ + { + "data": { + "text/plain": [ + "array([0, 0, 4, ..., 3, 1, 0], dtype=int32)" + ] + }, + "execution_count": 8, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "y_pred" + ] + }, + { + "cell_type": "markdown", + "id": "f4ea4e83-42f4-438f-b05d-32d86e099b28", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "subslide" + }, + "tags": [] + }, + "source": [ + "A *centroid* is estimated for each cluster (i.e., cluster centers). " + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "id": "f166dd90-cb2a-4344-83d9-24428a788a16", + "metadata": { + "editable": true, + "execution": { + "iopub.execute_input": "2025-03-07T05:32:20.528872Z", + "iopub.status.busy": "2025-03-07T05:32:20.528668Z", + "iopub.status.idle": "2025-03-07T05:32:20.535050Z", + "shell.execute_reply": "2025-03-07T05:32:20.534458Z" + }, + "slideshow": { + "slide_type": "" + }, + "tags": [] + }, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[-2.80214068, 1.55162671],\n", + " [ 0.08703534, 2.58438091],\n", + " [-1.46869323, 2.28214236],\n", + " [-2.79290307, 2.79641063],\n", + " [ 0.31332823, 1.96822352]])" + ] + }, + "execution_count": 9, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "kmeans.cluster_centers_" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "id": "403c4770-d2c2-489c-a399-ebf9d88b8f63", + "metadata": { + "editable": true, + "execution": { + "iopub.execute_input": "2025-03-07T05:32:20.538443Z", + "iopub.status.busy": "2025-03-07T05:32:20.537552Z", + "iopub.status.idle": "2025-03-07T05:32:20.543515Z", + "shell.execute_reply": "2025-03-07T05:32:20.542928Z" + }, + "scrolled": true, + "slideshow": { + "slide_type": "" + }, + "tags": [] + }, + "outputs": [], + "source": [ + "def plot_centroids(centroids, weights=None, circle_color='w', cross_color='k'):\n", + " if weights is not None:\n", + " centroids = centroids[weights > weights.max() / 10]\n", + " plt.scatter(centroids[:, 0], centroids[:, 1],\n", + " marker='o', s=35, linewidths=8,\n", + " color=circle_color, zorder=10, alpha=0.9)\n", + " plt.scatter(centroids[:, 0], centroids[:, 1],\n", + " marker='x', s=2, linewidths=12,\n", + " color=cross_color, zorder=11, alpha=1)" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "id": "cc0d3c9d-01ba-4bf4-a619-b6aaa58ce4c1", + "metadata": { + "editable": true, + "execution": { + "iopub.execute_input": "2025-03-07T05:32:20.546972Z", + "iopub.status.busy": "2025-03-07T05:32:20.546031Z", + "iopub.status.idle": "2025-03-07T05:32:20.698656Z", + "shell.execute_reply": "2025-03-07T05:32:20.697966Z" + }, + "scrolled": true, + "slideshow": { + "slide_type": "" + }, + "tags": [] + }, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(8, 4))\n", + "plot_clusters(X)\n", + "plot_centroids(kmeans.cluster_centers_)\n", + "plt.gca().set_axisbelow(True)\n", + "plt.grid()" + ] + }, + { + "cell_type": "markdown", + "id": "85d52600-bd88-42a3-ab87-534bd5aaf799", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "subslide" + }, + "tags": [] + }, + "source": [ + "#### Predictions\n", + "\n", + "Can make predictions for new instances:" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "id": "4aaa517b-6e61-4420-a67a-eaa6f5b5e4a3", + "metadata": { + "editable": true, + "execution": { + "iopub.execute_input": "2025-03-07T05:32:20.700640Z", + "iopub.status.busy": "2025-03-07T05:32:20.700446Z", + "iopub.status.idle": "2025-03-07T05:32:20.703441Z", + "shell.execute_reply": "2025-03-07T05:32:20.702851Z" + }, + "slideshow": { + "slide_type": "skip" + }, + "tags": [] + }, + "outputs": [], + "source": [ + "import numpy as np" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "id": "7dd1bbaa-2397-4bd2-b498-1015bbb12d51", + "metadata": { + "editable": true, + "execution": { + "iopub.execute_input": "2025-03-07T05:32:20.705280Z", + "iopub.status.busy": "2025-03-07T05:32:20.705104Z", + "iopub.status.idle": "2025-03-07T05:32:20.710360Z", + "shell.execute_reply": "2025-03-07T05:32:20.709768Z" + }, + "slideshow": { + "slide_type": "" + }, + "tags": [] + }, + "outputs": [ + { + "data": { + "text/plain": [ + "array([4, 4, 3, 3], dtype=int32)" + ] + }, + "execution_count": 13, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "X_new = np.array([[0, 2], [3, 2], [-3, 3], [-3, 2.5]])\n", + "kmeans.predict(X_new)" + ] + }, + { + "cell_type": "markdown", + "id": "475155e2-673a-4621-85de-c75110cba1eb", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "subslide" + }, + "tags": [] + }, + "source": [ + "#### Decision boundaries" + ] + }, + { + "cell_type": "markdown", + "id": "e13f0010-97f7-4f01-9587-849b86d200ff", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "" + }, + "tags": [] + }, + "source": [ + "Let's plot the model's decision boundaries. This gives us a _Voronoi diagram_:" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "id": "9dd5caf8-5690-4205-bec6-273d580d4bdf", + "metadata": { + "editable": true, + "execution": { + "iopub.execute_input": "2025-03-07T05:32:20.712259Z", + "iopub.status.busy": "2025-03-07T05:32:20.712086Z", + "iopub.status.idle": "2025-03-07T05:32:20.996132Z", + "shell.execute_reply": "2025-03-07T05:32:20.995470Z" + }, + "slideshow": { + "slide_type": "" + }, + "tags": [] + }, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "def plot_data(X):\n", + " plt.plot(X[:, 0], X[:, 1], 'k.', markersize=2)\n", + "\n", + "def plot_decision_boundaries(clusterer, X, resolution=1000, show_centroids=True,\n", + " show_xlabels=True, show_ylabels=True):\n", + " mins = X.min(axis=0) - 0.1\n", + " maxs = X.max(axis=0) + 0.1\n", + " xx, yy = np.meshgrid(np.linspace(mins[0], maxs[0], resolution),\n", + " np.linspace(mins[1], maxs[1], resolution))\n", + " Z = clusterer.predict(np.c_[xx.ravel(), yy.ravel()])\n", + " Z = Z.reshape(xx.shape)\n", + "\n", + " plt.contourf(Z, extent=(mins[0], maxs[0], mins[1], maxs[1]),\n", + " cmap=\"Pastel2\")\n", + " plt.contour(Z, extent=(mins[0], maxs[0], mins[1], maxs[1]),\n", + " linewidths=1, colors='k')\n", + " plot_data(X)\n", + " if show_centroids:\n", + " plot_centroids(clusterer.cluster_centers_)\n", + "\n", + " if show_xlabels:\n", + " plt.xlabel(\"$x_1$\")\n", + " else:\n", + " plt.tick_params(labelbottom=False)\n", + " if show_ylabels:\n", + " plt.ylabel(\"$x_2$\", rotation=0)\n", + " else:\n", + " plt.tick_params(labelleft=False)\n", + "\n", + "plt.figure(figsize=(8, 4))\n", + "plot_decision_boundaries(kmeans, X)\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "3c8361ca-5628-425d-a00b-1d5aee46f941", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "" + }, + "tags": [] + }, + "source": [ + "Typically, each data instance is asigned to the cluster with the closest centroid (*hard clustering*)." + ] + }, + { + "cell_type": "markdown", + "id": "356ba5e6-5c23-44a9-9449-17997312fbf0", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "subslide" + }, + "tags": [] + }, + "source": [ + "#### Hard versus soft clustering" + ] + }, + { + "cell_type": "markdown", + "id": "d65afee3-559f-4da1-8c9a-99460188b91a", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "" + }, + "tags": [] + }, + "source": [ + "*Hard clustering* corresponds to selecting the closest cluster for each instance.\n", + "\n", + "Alternatively, with *soft clustering* compute a similarly score based on the confidence of being associated with each cluster. This is given by the (Euclidean) distance between a data instance and the cluster centroid." + ] + }, + { + "cell_type": "markdown", + "id": "df56c34f-97b0-4816-aa1f-1c87a694eceb", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "" + }, + "tags": [] + }, + "source": [ + "Can be computed by the `transform()` method:" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "id": "0925b7bf-5559-4566-a5e3-b82d6d166ce8", + "metadata": { + "editable": true, + "execution": { + "iopub.execute_input": "2025-03-07T05:32:20.998235Z", + "iopub.status.busy": "2025-03-07T05:32:20.998053Z", + "iopub.status.idle": "2025-03-07T05:32:21.002930Z", + "shell.execute_reply": "2025-03-07T05:32:21.002348Z" + }, + "slideshow": { + "slide_type": "" + }, + "tags": [] + }, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[2.84, 0.59, 1.5 , 2.9 , 0.31],\n", + " [5.82, 2.97, 4.48, 5.85, 2.69],\n", + " [1.46, 3.11, 1.69, 0.29, 3.47],\n", + " [0.97, 3.09, 1.55, 0.36, 3.36]])" + ] + }, + "execution_count": 15, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "kmeans.transform(X_new).round(2)" + ] + }, + { + "cell_type": "markdown", + "id": "a98903e2-4bda-40a9-bf74-b316c08cf67b", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "" + }, + "tags": [] + }, + "source": [ + "Can verify that this is indeed the Euclidian distance between each instance and each centroid:" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "id": "ee7eef95-6760-4b40-9819-fe32350dd2a3", + "metadata": { + "editable": true, + "execution": { + "iopub.execute_input": "2025-03-07T05:32:21.004670Z", + "iopub.status.busy": "2025-03-07T05:32:21.004503Z", + "iopub.status.idle": "2025-03-07T05:32:21.008883Z", + "shell.execute_reply": "2025-03-07T05:32:21.008283Z" + }, + "slideshow": { + "slide_type": "" + }, + "tags": [] + }, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[2.84, 0.59, 1.5 , 2.9 , 0.31],\n", + " [5.82, 2.97, 4.48, 5.85, 2.69],\n", + " [1.46, 3.11, 1.69, 0.29, 3.47],\n", + " [0.97, 3.09, 1.55, 0.36, 3.36]])" + ] + }, + "execution_count": 16, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "np.linalg.norm(np.tile(X_new, (1, k)).reshape(-1, k, 2)\n", + " - kmeans.cluster_centers_, axis=2).round(2)" + ] + }, + { + "cell_type": "markdown", + "id": "d041388d-b3f4-45eb-870d-0dcd48199e4c", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "subslide" + }, + "tags": [] + }, + "source": [ + "### K-means algorithm" + ] + }, + { + "cell_type": "markdown", + "id": "aee9b2d6-cfda-4a47-bac9-2170d42dd111", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "" + }, + "tags": [] + }, + "source": [ + "If know centroids..." + ] + }, + { + "cell_type": "markdown", + "id": "eeff7cbf-ff59-4e55-b5d1-231d88e2e6dc", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "fragment" + }, + "tags": [] + }, + "source": [ + "can cluster data instances by finding closest centroid." + ] + }, + { + "cell_type": "markdown", + "id": "7c6b3a87-8436-48a0-8bd6-920a3032c198", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "fragment" + }, + "tags": [] + }, + "source": [ + "If know clusters... " + ] + }, + { + "cell_type": "markdown", + "id": "ba85317f-d84b-4601-95cb-bee4366a5816", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "fragment" + }, + "tags": [] + }, + "source": [ + "can compute centroid of data instances in cluster." + ] + }, + { + "cell_type": "markdown", + "id": "679f6ba5-1f5a-40b4-8843-4435a7fc507c", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "fragment" + }, + "tags": [] + }, + "source": [ + "K-means finds centroids and clusters iteratively following this approach." + ] + }, + { + "cell_type": "markdown", + "id": "d851e64a-7063-464b-8d4d-b54359f90cdf", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "subslide" + }, + "tags": [] + }, + "source": [ + "#### Algorithm\n", + "\n", + "Must set number of clusters to consider, $k$.\n", + "\n", + "Then run iterative algorithm to continually update estimates of centroids and cluster allocations.\n", + "\n", + "1. Randomly initialise centroids.\n", + "2. Label instances by closest centroid.\n", + "3. Calculate new centroid of each cluster by taking mean of instances in the cluster.\n", + "4. Repeat steps 2 to 3. " + ] + }, + { + "cell_type": "markdown", + "id": "b2ab11e4-6d47-4bab-a4cb-de4c0f2f5358", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "subslide" + }, + "tags": [] + }, + "source": [ + "#### Algorithm visually\n", + "\n", + "Let's run K-Mean algorithm for 1, 2 and 3 iterations, to see how the centroids move." + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "id": "f313bf6e-4fd2-425e-8592-a2050f07590e", + "metadata": { + "editable": true, + "execution": { + "iopub.execute_input": "2025-03-07T05:32:21.010924Z", + "iopub.status.busy": "2025-03-07T05:32:21.010760Z", + "iopub.status.idle": "2025-03-07T05:32:22.385407Z", + "shell.execute_reply": "2025-03-07T05:32:22.384850Z" + }, + "slideshow": { + "slide_type": "" + }, + "tags": [] + }, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "starting_random_state = 6\n", + "kmeans_iter1 = KMeans(n_clusters=5, init=\"random\", n_init=1, max_iter=1,\n", + " random_state=starting_random_state)\n", + "kmeans_iter2 = KMeans(n_clusters=5, init=\"random\", n_init=1, max_iter=2,\n", + " random_state=starting_random_state)\n", + "kmeans_iter3 = KMeans(n_clusters=5, init=\"random\", n_init=1, max_iter=3,\n", + " random_state=starting_random_state)\n", + "kmeans_iter1.fit(X)\n", + "kmeans_iter2.fit(X)\n", + "kmeans_iter3.fit(X)\n", + "\n", + "plt.figure(figsize=(10, 8))\n", + "\n", + "plt.subplot(321)\n", + "plot_data(X)\n", + "plot_centroids(kmeans_iter1.cluster_centers_, circle_color='r', cross_color='w')\n", + "plt.ylabel(\"$x_2$\", rotation=0)\n", + "plt.tick_params(labelbottom=False)\n", + "plt.title(\"Update the centroids (initially randomly)\")\n", + "\n", + "plt.subplot(322)\n", + "plot_decision_boundaries(kmeans_iter1, X, show_xlabels=False,\n", + " show_ylabels=False)\n", + "plt.title(\"Label the instances\")\n", + "\n", + "plt.subplot(323)\n", + "plot_decision_boundaries(kmeans_iter1, X, show_centroids=False,\n", + " show_xlabels=False)\n", + "plot_centroids(kmeans_iter2.cluster_centers_)\n", + "\n", + "plt.subplot(324)\n", + "plot_decision_boundaries(kmeans_iter2, X, show_xlabels=False,\n", + " show_ylabels=False)\n", + "\n", + "plt.subplot(325)\n", + "plot_decision_boundaries(kmeans_iter2, X, show_centroids=False)\n", + "plot_centroids(kmeans_iter3.cluster_centers_)\n", + "\n", + "plt.subplot(326)\n", + "plot_decision_boundaries(kmeans_iter3, X, show_ylabels=False)" + ] + }, + { + "cell_type": "markdown", + "id": "22b6d0c4-1524-4f57-917d-a2e5bb182684", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "subslide" + }, + "tags": [] + }, + "source": [ + "#### Convergence\n", + "\n", + "Convergence is guaranteed since mean squared distance between instances and their closest centroid can only go down at each step.\n", + "\n", + "Usually only a relatively small number of iterations are required." + ] + }, + { + "cell_type": "markdown", + "id": "f97d2836-fa6d-44b6-9381-a79ff0c71d1a", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "subslide" + }, + "tags": [] + }, + "source": [ + "#### Variability\n", + "\n", + "While the algorithm is guaranteed to converge, it might not converge to the desired solution.\n", + "\n", + "Final clusters are highly dependent on initial random centroid selection." + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "id": "9f229355-f37d-4759-8880-93da14aade52", + "metadata": { + "editable": true, + "execution": { + "iopub.execute_input": "2025-03-07T05:32:22.387747Z", + "iopub.status.busy": "2025-03-07T05:32:22.387288Z", + "iopub.status.idle": "2025-03-07T05:32:23.117782Z", + "shell.execute_reply": "2025-03-07T05:32:23.117092Z" + }, + "slideshow": { + "slide_type": "" + }, + "tags": [] + }, + "outputs": [ + 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "def plot_clusterer_comparison(clusterer1, clusterer2, X, title1=None,\n", + " title2=None):\n", + " clusterer1.fit(X)\n", + " clusterer2.fit(X)\n", + "\n", + " plt.figure(figsize=(10, 3.2))\n", + "\n", + " plt.subplot(121)\n", + " plot_decision_boundaries(clusterer1, X)\n", + " if title1:\n", + " plt.title(title1)\n", + "\n", + " plt.subplot(122)\n", + " plot_decision_boundaries(clusterer2, X, show_ylabels=False)\n", + " if title2:\n", + " plt.title(title2)\n", + "\n", + "kmeans_rnd_init1 = KMeans(n_clusters=5, init=\"random\", n_init=1, random_state=2)\n", + "kmeans_rnd_init2 = KMeans(n_clusters=5, init=\"random\", n_init=1, random_state=9)\n", + "\n", + "plot_clusterer_comparison(kmeans_rnd_init1, kmeans_rnd_init2, X,\n", + " \"Solution 1\",\n", + " \"Solution 2 (with a different random init)\")" + ] + }, + { + "cell_type": "markdown", + "id": "161b0c65-e0ae-474a-aedb-0f3a4d4c2c96", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "subslide" + }, + "tags": [] + }, + "source": [ + "#### Manual initialisation\n", + "\n", + "If have a rough idea of good clustering, can set manual initialisation." + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "id": "111f75d2-01d6-4216-9b4c-95f433895eeb", + "metadata": { + "editable": true, + "execution": { + "iopub.execute_input": "2025-03-07T05:32:23.119729Z", + "iopub.status.busy": "2025-03-07T05:32:23.119556Z", + "iopub.status.idle": "2025-03-07T05:32:23.128790Z", + "shell.execute_reply": "2025-03-07T05:32:23.128193Z" + }, + "slideshow": { + "slide_type": "" + }, + "tags": [] + }, + "outputs": [ + { + "data": { + "text/html": [ + "
KMeans(init=array([[-3,  3],\n",
+       "       [-3,  2],\n",
+       "       [-3,  1],\n",
+       "       [-1,  2],\n",
+       "       [ 0,  2]]),\n",
+       "       n_clusters=5, n_init=1, random_state=42)
In a Jupyter environment, please rerun this cell to show the HTML representation or trust the notebook.
On GitHub, the HTML representation is unable to render, please try loading this page with nbviewer.org.
" + ], + "text/plain": [ + "KMeans(init=array([[-3, 3],\n", + " [-3, 2],\n", + " [-3, 1],\n", + " [-1, 2],\n", + " [ 0, 2]]),\n", + " n_clusters=5, n_init=1, random_state=42)" + ] + }, + "execution_count": 19, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "good_init = np.array([[-3, 3], [-3, 2], [-3, 1], [-1, 2], [0, 2]])\n", + "kmeans = KMeans(n_clusters=5, init=good_init, n_init=1, random_state=42)\n", + "kmeans.fit(X)" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "id": "1102abdb-5e5e-4200-b147-4b989002ef71", + "metadata": { + "editable": true, + "execution": { + "iopub.execute_input": "2025-03-07T05:32:23.130470Z", + "iopub.status.busy": "2025-03-07T05:32:23.130290Z", + "iopub.status.idle": "2025-03-07T05:32:23.415955Z", + "shell.execute_reply": "2025-03-07T05:32:23.415286Z" + }, + "slideshow": { + "slide_type": "" + }, + "tags": [] + }, + "outputs": [ + { + "data": { + "image/png": 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", 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" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(8, 4))\n", + "plot_decision_boundaries(kmeans, X)" + ] + }, + { + "cell_type": "markdown", + "id": "8b289ad4-aacb-4ee7-a5ee-b6f77a5a60ae", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "subslide" + }, + "tags": [] + }, + "source": [ + "#### Performance measure\n", + "\n", + "In order to assess whether a set of clusters is good, need to have some measure of performance.\n", + "\n", + "Goodness can be estimated by *sum of squared distances between instances and their clustered centroid* (low good).\n", + "\n", + "Score given by negative of this qualtity (so high good)." + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "id": "b18c5ff7-0a7c-44f9-be65-ccbed864eca7", + "metadata": { + "editable": true, + "execution": { + "iopub.execute_input": "2025-03-07T05:32:23.417941Z", + "iopub.status.busy": "2025-03-07T05:32:23.417765Z", + "iopub.status.idle": "2025-03-07T05:32:23.422662Z", + "shell.execute_reply": "2025-03-07T05:32:23.422070Z" + }, + "slideshow": { + "slide_type": "" + }, + "tags": [] + }, + "outputs": [ + { + "data": { + "text/plain": [ + "-211.59853725816828" + ] + }, + "execution_count": 21, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "kmeans.score(X)" + ] + }, + { + "cell_type": "markdown", + "id": "fbdd8b7f-86bd-4a66-bf74-7986609f996c", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "subslide" + }, + "tags": [] + }, + "source": [ + "#### Multiple initialisations\n", + "\n", + "Now have measure of performance, can run multiple times with different centroid initialisations and then select clustering with highest score.\n", + "\n", + "Controlled by `n_init` variable in Scikit-Learn." + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "id": "59c62d7b-1a33-43a9-a348-72190b6894fc", + "metadata": { + "editable": true, + "execution": { + "iopub.execute_input": "2025-03-07T05:32:23.424453Z", + "iopub.status.busy": "2025-03-07T05:32:23.424262Z", + "iopub.status.idle": "2025-03-07T05:32:23.437608Z", + "shell.execute_reply": "2025-03-07T05:32:23.437018Z" + }, + "slideshow": { + "slide_type": "" + }, + "tags": [] + }, + "outputs": [ + { + "data": { + "text/html": [ + "
KMeans(init='random', n_clusters=5, n_init=10, random_state=2)
In a Jupyter environment, please rerun this cell to show the HTML representation or trust the notebook.
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" + ], + "text/plain": [ + "KMeans(init='random', n_clusters=5, n_init=10, random_state=2)" + ] + }, + "execution_count": 22, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "kmeans_rnd_10_inits = KMeans(n_clusters=5, init=\"random\", n_init=10,\n", + " random_state=2)\n", + "kmeans_rnd_10_inits.fit(X)" + ] + }, + { + "cell_type": "markdown", + "id": "4524c4c7-8f7c-49d9-943d-412a24ab77b1", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "" + }, + "tags": [] + }, + "source": [ + "Recover good clusters." + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "id": "eda66172-ee1c-439c-b602-c5a9de875e28", + "metadata": { + "editable": true, + "execution": { + "iopub.execute_input": "2025-03-07T05:32:23.439340Z", + "iopub.status.busy": "2025-03-07T05:32:23.439172Z", + "iopub.status.idle": "2025-03-07T05:32:23.711937Z", + "shell.execute_reply": "2025-03-07T05:32:23.711261Z" + }, + "slideshow": { + "slide_type": "" + }, + "tags": [] + }, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(8, 4))\n", + "plot_decision_boundaries(kmeans_rnd_10_inits, X)" + ] + }, + { + "cell_type": "markdown", + "id": "c842d05a-f644-4eaa-ad76-020ca86928cf", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "subslide" + }, + "tags": [] + }, + "source": [ + "#### Extensions\n", + "\n", + "- Acceleration\n", + "- Mini-batch\n", + "- Selecting number of clusters" + ] + }, + { + "cell_type": "markdown", + "id": "7a63242f-1e3c-44c8-b2a9-6894639579b0", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "subslide" + }, + "tags": [] + }, + "source": [ + "#### Limitations\n", + "\n", + "- Need to run several times with different initialisations\n", + "- Need to specify number of clusters\n", + "- Does not behave well when clusters have varying sizes, different densities, or non-spherical shapes." + ] + }, + { + "cell_type": "markdown", + "id": "5f0a0e6d-0d88-488e-b524-0d489ca7cbce", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "slide" + }, + "tags": [] + }, + "source": [ + "## Density estimation with Gaussian mixture models" + ] + }, + { + "cell_type": "markdown", + "id": "a75ccc62-75ea-4731-a770-d435582217be", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "subslide" + }, + "tags": [] + }, + "source": [ + "Aim of density estimation is to estimate a *probability distribution* from which data were drawn. \n", + "\n", + "Can then generate new data instances (generative AI) and also perform probability density estimation." + ] + }, + { + "cell_type": "markdown", + "id": "5698c35f-e9dd-411e-a27c-7ad557863b14", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "" + }, + "tags": [] + }, + "source": [ + "A *Gaussian mixture model* (GMM) is a probabilistic model that assumes that the instances were generated from a mixture of a number of Gaussian distributions whose parameters are unknown." + ] + }, + { + "cell_type": "markdown", + "id": "d99d4e4d-7c89-4b0b-82a3-01a89421fa7c", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "subslide" + }, + "tags": [] + }, + "source": [ + "### Gaussian mixture model description" + ] + }, + { + "cell_type": "markdown", + "id": "95422c17-1259-4fab-9ec3-61c9128272d2", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "" + }, + "tags": [] + }, + "source": [ + "Instances generated from a Gaussian distribution form clusters that look like ellipsoids. Each cluster can have a different ellipoidal shape, size, density, and orientation." + ] + }, + { + "cell_type": "markdown", + "id": "a15daff3-3eca-446e-b8a1-c21749f34d8e", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "" + }, + "tags": [] + }, + "source": [ + "Scikit-Learn contains several GMM variants. In the simplist, the `GaussianMixture` class, you must know in advance the number of Gaussian distributions $k$." + ] + }, + { + "cell_type": "markdown", + "id": "724d96ff-26bb-42dc-879a-9841813029c1", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "subslide" + }, + "tags": [] + }, + "source": [ + "The dataset $\\mathbf{X}$ is assumed to have been generated through the following probabilistic process:\n", + "\n", + "- For each instance, a cluster is picked randomly from among $k$ clusters. The probability of choosing the $j^{\\text{th}}$ cluster is defined by the clusters weight, $\\phi^{(j)}$. The index of the cluster chosen for the $i^{\\text{th}}$ instance is noted $z^{(i)}$.\n", + "- If $z^{(i)}=j$, meaning the $i^{\\text{th}}$ instance has been assigned to the $j^{\\text{th}}$ cluster, the location $\\mathbf{x}^{(i)}$ of this instance is sampled randomly from the Gaussian distribution with mean $\\mathbf{\\mu}^{(j)}$ and covariance matrix ${\\sum}^{(j)}$. This is noted as:\n", + "\n", + "$$\\mathbf{x}^{(i)} \\sim \\mathcal{N} \\left( \\mathbf{\\mu}^{(j)}, {\\sum}^{(j)} \\right)$$" + ] + }, + { + "cell_type": "markdown", + "id": "28acc2bd-d0f4-48f1-95f9-25ac4b28fea7", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "subslide" + }, + "tags": [] + }, + "source": [ + "Let's generate some random blobs to use as a dataset again." + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "id": "684e1980-71eb-4748-a70c-f7cffcd914d5", + "metadata": { + "editable": true, + "execution": { + "iopub.execute_input": "2025-03-07T05:32:23.714311Z", + "iopub.status.busy": "2025-03-07T05:32:23.714134Z", + "iopub.status.idle": "2025-03-07T05:32:23.719858Z", + "shell.execute_reply": "2025-03-07T05:32:23.719306Z" + }, + "slideshow": { + "slide_type": "" + }, + "tags": [] + }, + "outputs": [], + "source": [ + "X1, y1 = make_blobs(n_samples=1000, centers=((4, -4), (0, 0)), random_state=42)\n", + "X1 = X1.dot(np.array([[0.374, 0.95], [0.732, 0.598]]))\n", + "X2, y2 = make_blobs(n_samples=250, centers=1, random_state=42)\n", + "X2 = X2 + [6, -8]\n", + "X = np.r_[X1, X2]\n", + "y = np.r_[y1, y2]" + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "id": "29b9362a-9ae4-49d9-93b9-7483a6d8dbbc", + "metadata": { + "editable": true, + "execution": { + "iopub.execute_input": "2025-03-07T05:32:23.721625Z", + "iopub.status.busy": "2025-03-07T05:32:23.721457Z", + "iopub.status.idle": "2025-03-07T05:32:23.823411Z", + "shell.execute_reply": "2025-03-07T05:32:23.822731Z" + }, + "slideshow": { + "slide_type": "" + }, + "tags": [] + }, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(8, 4))\n", + "plt.plot(X[:, 0], X[:, 1], 'k.', markersize=2)\n", + "plt.xlabel(\"$x_1$\")\n", + "plt.ylabel(\"$x_2$\", rotation=0);" + ] + }, + { + "cell_type": "markdown", + "id": "5ef1235d-28d2-4fdd-834a-52d948f3111d", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "subslide" + }, + "tags": [] + }, + "source": [ + "### Training\n", + "\n", + "Let's train a Gaussian mixture model. \n", + "\n", + "The model is trainined by the *expectation-maximisation* (EM) algorithm. We won't go into technical details but has similarites with the K-means algorithm. It initialises clusters randomly, then repeats an *expectation* step (cf. assign instances to clusters) and a *maximisation* step (cf. updating clusters)." + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "id": "21208a04-d9ff-431d-ad74-843a079b2100", + "metadata": { + "editable": true, + "execution": { + "iopub.execute_input": "2025-03-07T05:32:23.825362Z", + "iopub.status.busy": "2025-03-07T05:32:23.825184Z", + "iopub.status.idle": "2025-03-07T05:32:23.830771Z", + "shell.execute_reply": "2025-03-07T05:32:23.830186Z" + }, + "slideshow": { + "slide_type": "" + }, + "tags": [] + }, + "outputs": [], + "source": [ + "from sklearn.mixture import GaussianMixture" + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "id": "effa4aaf-6129-4226-b59a-a97b8d32a4ef", + "metadata": { + "editable": true, + "execution": { + "iopub.execute_input": "2025-03-07T05:32:23.832627Z", + "iopub.status.busy": "2025-03-07T05:32:23.832316Z", + "iopub.status.idle": "2025-03-07T05:32:23.902677Z", + "shell.execute_reply": "2025-03-07T05:32:23.902140Z" + }, + "slideshow": { + "slide_type": "" + }, + "tags": [] + }, + "outputs": [ + { + "data": { + "text/html": [ + "
GaussianMixture(n_components=3, n_init=10, random_state=42)
In a Jupyter environment, please rerun this cell to show the HTML representation or trust the notebook.
On GitHub, the HTML representation is unable to render, please try loading this page with nbviewer.org.
" + ], + "text/plain": [ + "GaussianMixture(n_components=3, n_init=10, random_state=42)" + ] + }, + "execution_count": 27, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "gm = GaussianMixture(n_components=3, n_init=10, random_state=42)\n", + "gm.fit(X)" + ] + }, + { + "cell_type": "markdown", + "id": "91965fbb-57e5-4693-ae1f-76fb4a5099dc", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "subslide" + }, + "tags": [] + }, + "source": [ + "Let's look at the parameters of the GMM estimated:" + ] + }, + { + "cell_type": "code", + "execution_count": 28, + "id": "b1397df2-f564-431d-8999-d0335f9b1bfc", + "metadata": { + "editable": true, + "execution": { + "iopub.execute_input": "2025-03-07T05:32:23.904988Z", + "iopub.status.busy": "2025-03-07T05:32:23.904805Z", + "iopub.status.idle": "2025-03-07T05:32:23.909338Z", + "shell.execute_reply": "2025-03-07T05:32:23.908881Z" + }, + "slideshow": { + "slide_type": "" + }, + "tags": [] + }, + "outputs": [ + { + "data": { + "text/plain": [ + "array([0.40005972, 0.20961444, 0.39032584])" + ] + }, + "execution_count": 28, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "gm.weights_" + ] + }, + { + "cell_type": "code", + "execution_count": 29, + "id": "4e58e66f-59dd-4068-8fb2-4f52f9c43b7c", + "metadata": { + "editable": true, + "execution": { + "iopub.execute_input": "2025-03-07T05:32:23.911681Z", + "iopub.status.busy": "2025-03-07T05:32:23.911504Z", + "iopub.status.idle": "2025-03-07T05:32:23.915938Z", + "shell.execute_reply": "2025-03-07T05:32:23.915368Z" + }, + "slideshow": { + "slide_type": "" + }, + "tags": [] + }, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[-1.40764129, 1.42712848],\n", + " [ 3.39947665, 1.05931088],\n", + " [ 0.05145113, 0.07534576]])" + ] + }, + "execution_count": 29, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "gm.means_" + ] + }, + { + "cell_type": "code", + "execution_count": 30, + "id": "d3d1a385-4db6-49d6-aa12-0adc52725905", + "metadata": { + "editable": true, + "execution": { + "iopub.execute_input": "2025-03-07T05:32:23.918013Z", + "iopub.status.busy": "2025-03-07T05:32:23.917721Z", + "iopub.status.idle": "2025-03-07T05:32:23.922273Z", + "shell.execute_reply": "2025-03-07T05:32:23.921776Z" + }, + "scrolled": true, + "slideshow": { + "slide_type": "" + }, + "tags": [] + }, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[[ 0.63478217, 0.72970097],\n", + " [ 0.72970097, 1.16094925]],\n", + "\n", + " [[ 1.14740131, -0.03271106],\n", + " [-0.03271106, 0.95498333]],\n", + "\n", + " [[ 0.68825143, 0.79617956],\n", + " [ 0.79617956, 1.21242183]]])" + ] + }, + "execution_count": 30, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "gm.covariances_" + ] + }, + { + "cell_type": "markdown", + "id": "25d8790e-4879-416b-9255-b152fdbba228", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "subslide" + }, + "tags": [] + }, + "source": [ + "### Predictions" + ] + }, + { + "cell_type": "markdown", + "id": "806fbeb6-33d9-4c4b-85f4-a8d016832704", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "" + }, + "tags": [] + }, + "source": [ + "The model can be used to predict which cluster each instance belongs to (hard clustering) or to estimate probabilities that it came from each cluster. \n", + "\n", + "For this, just use `predict()` method or the `predict_proba()` method:" + ] + }, + { + "cell_type": "code", + "execution_count": 31, + "id": "c1514c98-36c0-4c41-8e66-013b74f0ef7d", + "metadata": { + "editable": true, + "execution": { + "iopub.execute_input": "2025-03-07T05:32:23.924979Z", + "iopub.status.busy": "2025-03-07T05:32:23.924161Z", + "iopub.status.idle": "2025-03-07T05:32:23.928952Z", + "shell.execute_reply": "2025-03-07T05:32:23.928484Z" + }, + "slideshow": { + "slide_type": "" + }, + "tags": [] + }, + "outputs": [ + { + "data": { + "text/plain": [ + "array([2, 2, 0, ..., 1, 1, 1])" + ] + }, + "execution_count": 31, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "gm.predict(X)" + ] + }, + { + "cell_type": "code", + "execution_count": 32, + "id": "043027db-4724-4eb2-af6a-fa520086dbe0", + "metadata": { + "editable": true, + "execution": { + "iopub.execute_input": "2025-03-07T05:32:23.930889Z", + "iopub.status.busy": "2025-03-07T05:32:23.930714Z", + "iopub.status.idle": "2025-03-07T05:32:23.935904Z", + "shell.execute_reply": "2025-03-07T05:32:23.935097Z" + }, + "scrolled": true, + "slideshow": { + "slide_type": "" + }, + "tags": [] + }, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[0. , 0.023, 0.977],\n", + " [0.001, 0.016, 0.983],\n", + " [1. , 0. , 0. ],\n", + " ...,\n", + " [0. , 1. , 0. ],\n", + " [0. , 1. , 0. ],\n", + " [0. , 1. , 0. ]])" + ] + }, + "execution_count": 32, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "gm.predict_proba(X).round(3)" + ] + }, + { + "cell_type": "markdown", + "id": "83733bbf-e1a9-41a1-9dee-112c70e82593", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "subslide" + }, + "tags": [] + }, + "source": [ + "### Generative model" + ] + }, + { + "cell_type": "markdown", + "id": "e024b7b9-e8a1-4b0a-b2d2-bf2a20e121fc", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "" + }, + "tags": [] + }, + "source": [ + "It is a generative model, so you can sample new instances from it (and get their labels)." + ] + }, + { + "cell_type": "code", + "execution_count": 33, + "id": "ae6987db-a0c1-4dbe-ac1c-550b12d37764", + "metadata": { + "editable": true, + "execution": { + "iopub.execute_input": "2025-03-07T05:32:23.937941Z", + "iopub.status.busy": "2025-03-07T05:32:23.937765Z", + "iopub.status.idle": "2025-03-07T05:32:23.944065Z", + "shell.execute_reply": "2025-03-07T05:32:23.943632Z" + }, + "slideshow": { + "slide_type": "" + }, + "tags": [] + }, + "outputs": [ + { + "data": { + "text/plain": [ + "array([[-2.32491052, 1.04752548],\n", + " [-1.16654983, 1.62795173],\n", + " [ 1.84860618, 2.07374016],\n", + " [ 3.98304484, 1.49869936],\n", + " [ 3.8163406 , 0.53038367],\n", + " [ 0.38079484, -0.56239369]])" + ] + }, + "execution_count": 33, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "X_new, y_new = gm.sample(6)\n", + "X_new" + ] + }, + { + "cell_type": "code", + "execution_count": 34, + "id": "d41f7c1f-6e4f-4f75-a0d3-970b5a6904b1", + "metadata": { + "editable": true, + "execution": { + "iopub.execute_input": "2025-03-07T05:32:23.946209Z", + "iopub.status.busy": "2025-03-07T05:32:23.946036Z", + "iopub.status.idle": "2025-03-07T05:32:23.951024Z", + "shell.execute_reply": "2025-03-07T05:32:23.950557Z" + }, + "slideshow": { + "slide_type": "" + }, + "tags": [] + }, + "outputs": [ + { + "data": { + "text/plain": [ + "array([0, 0, 1, 1, 1, 2])" + ] + }, + "execution_count": 34, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "y_new" + ] + }, + { + "cell_type": "markdown", + "id": "be0b4200-83f1-492f-9939-95cee8231fa6", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "subslide" + }, + "tags": [] + }, + "source": [ + "### Probability density estimation" + ] + }, + { + "cell_type": "markdown", + "id": "298a478e-845a-41b7-a5f0-be616ae62184", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "" + }, + "tags": [] + }, + "source": [ + "Can estimate the log of the _probability density function_ (PDF) at any location using the `score_samples()` method:" + ] + }, + { + "cell_type": "code", + "execution_count": 35, + "id": "f63f5892-3af5-4a40-9b09-16a252ea7b70", + "metadata": { + "editable": true, + "execution": { + "iopub.execute_input": "2025-03-07T05:32:23.953173Z", + "iopub.status.busy": "2025-03-07T05:32:23.953002Z", + "iopub.status.idle": "2025-03-07T05:32:23.959035Z", + "shell.execute_reply": "2025-03-07T05:32:23.958565Z" + }, + "slideshow": { + "slide_type": "" + }, + "tags": [] + }, + "outputs": [ + { + "data": { + "text/plain": [ + "array([-2.61, -3.57, -3.33, ..., -3.51, -4.4 , -3.81])" + ] + }, + "execution_count": 35, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "gm.score_samples(X).round(2)" + ] + }, + { + "cell_type": "markdown", + "id": "22eeb02b-7f46-4441-973d-50b251e45906", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "" + }, + "tags": [] + }, + "source": [ + "A valid probability density must integrate to one over the parameters space. Let's check!" + ] + }, + { + "cell_type": "code", + "execution_count": 36, + "id": "137358fd-658c-4a63-a50d-75a6b6cd616f", + "metadata": { + "editable": true, + "execution": { + "iopub.execute_input": "2025-03-07T05:32:23.961456Z", + "iopub.status.busy": "2025-03-07T05:32:23.961119Z", + "iopub.status.idle": "2025-03-07T05:32:25.128194Z", + "shell.execute_reply": "2025-03-07T05:32:25.127575Z" + }, + "slideshow": { + "slide_type": "" + }, + "tags": [] + }, + "outputs": [ + { + "data": { + "text/plain": [ + "np.float64(0.9999999999225088)" + ] + }, + "execution_count": 36, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "resolution = 100\n", + "grid = np.arange(-10, 10, 1 / resolution)\n", + "xx, yy = np.meshgrid(grid, grid)\n", + "X_full = np.vstack([xx.ravel(), yy.ravel()]).T\n", + "\n", + "pdf = np.exp(gm.score_samples(X_full))\n", + "pdf_probas = pdf * (1 / resolution) ** 2\n", + "pdf_probas.sum()" + ] + }, + { + "cell_type": "markdown", + "id": "1c159cf5-a9e1-4d04-bfd5-6784a15180ec", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "subslide" + }, + "tags": [] + }, + "source": [ + "### Visualise" + ] + }, + { + "cell_type": "markdown", + "id": "578a9285-d07e-4f08-8659-816353416937", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "" + }, + "tags": [] + }, + "source": [ + "Let's plot the resulting probability densities and decision boundaries for clustering (dashed lines)." + ] + }, + { + "cell_type": "code", + "execution_count": 37, + "id": "fce7a3dc-9e32-4eb4-bb5f-7ebdb21ef90f", + "metadata": { + "editable": true, + "execution": { + "iopub.execute_input": "2025-03-07T05:32:25.130371Z", + "iopub.status.busy": "2025-03-07T05:32:25.130180Z", + "iopub.status.idle": "2025-03-07T05:32:26.007076Z", + "shell.execute_reply": "2025-03-07T05:32:26.006418Z" + }, + "slideshow": { + "slide_type": "" + }, + "tags": [] + }, + "outputs": [ + { + "data": { + "image/png": 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7ccq3HOPA0kNs/jEThUZGSp9I2gyKps2gaALD/bNMq6UjilU3snVnFaMm5dA2RcEb34WjC/IfIXTRYnfRsVceilJXjc0CsG9RJNb21fWpa1dYeO7hUhQKCVM+H0BST/+qozy+uYgF07djLLSQeMtgYq/q6Vcd4YIgULYxk+wf11N5MI/AtBjC77sRTef2YtOUG5GHV4/HtRYafCJWP79pIJNnbUH+j6PhM89cLgpVEZF/kGtVhA1IJWxAKoIwCnNWMWUbMzFv28PCF7cjuCA2I4S2Q2JIHRpDeGud+P3oJkSx6iZOCdW01kr++20YOr3/CI2Lma5tak+jskVI2bM+BhRS7LZq79TvPzPSf6ians8PIyDEf2yTrCY7K96tNvdP6BZG8vRr0cT7z0jXUyL15A/rMB3KR5ceR8RDt6JObyt+CXsAqT4QqHZU8AUOpZxvpvRmyqyt3Pv6JA62E31VRUTqQiKRoE2JQJsSAZP7EFNhpmzzMWTbtrP+q0Os+mAfIYla0obFkjoshriOoX5nh9iSEMWqG9i+u3rpXxSq3kViqz3PIvfBQPIfqs5O5Z508NR9JezfbfNL79Rj6wuZP30blnIbKdNGEH15V7+JTxAEyrcc4+R3f1N5MB9dRjyRj9wu2k95GGlA9RAKp9nqlfOFFht55q0FPP6fq3D+M0Hs6xsH8fWNg7xyfhGRiwVFUACRI9JhRDohNgcVO45TuvYwu+YeZMM3hwmMUJM2PJZ2I+NI6BqGVCZ+jzYGUaw2k137rIyalEObZIUoVL2MoJRQcFsg0V9U4pLAno0xOKKq39LLF5n5z2Ol6PRSrv9mMLEd/Sdbaa20s+ztPeyYlUVSrwjavDYBdUywr8M6TcWO45z45m+M+3LQdYgj8pHbULVvI4pULyCRV9f9umzOC+zZfKLzyph14+cArLr0bQQJXPn9XRT58aAJEZGWgFQpJ6RXa0J6tUZwjsK4L4eSvw9xaMU+ts44ijZMRdqIWNqPiheFawMRxWoz2H/IxqiJOSTFKXj9u3BRqHoYzfYq2l5fzIHZkdjaVnf45/5fCNY4GSU360AiwWYV+N+r5cz4upJhozV0eWYYar3/TCY5uq6ABdO3U2Ww0+r+UURd2tlvRKBxfy4nvllDxfbjaFOjiXjwFtQZ/jt84KLk1Gvt4SnYsbml/HrTF2dOS3Wdd1GEzqPnFRH5tyGRSdF3TEDfMQHhzmFUHsyjePUBjqzay7ZfjhEYoab9JXF0uCSe2I4h4vdtPYhitYlkZtkYNSmbqAgZb/4Qhl5spvIosf8pJfrL6m7/tMmF7N4cC9Lq17zklupMUPYJB09NK+bwATujnuxE98mt/OaDf3Y2NblPBKHTrkQdFeTrsAAwHy/mxNdrKF13GE1SOOHTrkfTNd1vXrt/Fc7qRsFTGVZPEF5QUUOonmLInw+fEcsiIiJuRyKVoGsfi659LMLtQzHuz6V45X72LdzL5h8yqz21x8aTcWkCYcnihePZiGK1CWTn2hk1MYdArZS3vg8X7ak8ic1FRr88lEVnuv0VxQKqA3asHc40Si1fZGb6Y6UEBUuZ+u0QYjqE+CDYusnaWMT8F7ZhLrPS6v6RRF3axS+EoLXQwMnv11L41x5UEXrCbp1EQJ8uSKTihZevcFltAMhUnvlqTjhRzIzbvqqxTQCGzH8Ep0L8HhMR8RYSqQR9ehz69DiEu4ZRseskxcv3seWn/az97CAx6cFkXJpIhzHxaEP9pynYV4hitZEUFTu4ZFIOLhe8/X044ZHiF7yn0Gypot1VRbW6/SvT5VjbVy/t220C779Wzo9f+t+yv83sYMW7e9n6y1ESe4TT+tWpflGb6jBWkT1jA3lztiILUBEy+XICB/dGIhe/DnyNy2wBQOaBkbqxOWW1hCrA4AWP4PRgJldEROT8SGRSgrsmEdw1Cdd9IyndkAlrN7Hs7d0se3s3bQZG03FcIm0GRv9rx76Kv06NwGB0cul1uZSWu/j0twhi4sSXz1MkPVBM2BxLre3Hnw86veyfl+PgqWkl7N9jY8TjHek5xX861U9uL+HP57ZiLKwi5Z7hRI/r5vNOf5fNQf7c7WT/vB6X3Ylu9BD0lwxGqhGv2v0Fl7ESAEWQxq3H1Zit/Hrz5zW2CYhCVUTE35Aq5YQPSoNBaQTdY6Z4xX4MK7cy66GNaEKUZFyaQOcrkohs6x9lZN5CVFsNxGp1cdUteRzJsvPxjAgSU8SRkh7BJZDRMxdlcU2Tf5cE9myIxhFd/bqvW2nh2QdL0QRIuO6rwcR18o9uf4fNyeoP97Ph28PEdQqt9k2N821sgiBQsuoAx79ajbXQQNSYTsiHX44sSKyJ8jec5UYAlGGBbj1u0olS7DIpEkFA7hKqherCR3H60eAJERGRmiiCAoi5ojtc0Z2oY0UULtnN3vm72PxDJrEZIXS+MokOo+NRaS9+PSKK1QbgdApcf28B67ZU8f534aSl+8cy88WIMsuBzFBTqFZ2UXBoThRIJDidAp+9a+CL9wzVJv8vDCMg2D8ygwUHypn7zFZKj1eSePMg4q7p5fMpVMZ9ORz7dAWV+3MJ6d2a0Gm3ooiN8mlMIvXjKC1DqpQj17s3s3qgXQxDFj6K2mzj/o+X8eaDl+AShaqISItBmxJByp3DcN0ymLKNmTiWr2fhiztY9uYeOoyJp+vVyX7Vq+FuRLF6AQRB4KHnipi9oJLXPwmjW29x7q8nsbVSsGdVNJ365iMBjv03mLLJ1RnA0mInzz5QwuZ1Vgbf14F+t6T6fGkdwOVwseHbw6z+aD/hrXRkvH8D2laRPo2pqqCC41+somTVAbRtIol87A7U7Vr7NCZvY1y5AcOCFejHDkU3pI+vw2kQjqJSVNFBbilnaX24gG/u/ZaPbxrIT9f2BaAqQMnrj4xp9rFFRER8g1QhI2xAKgxIJbjQQMGiXWT+tZ0ds7KISQ+h28QUOlwSh0Jzccm7i+vZeIDXPyjjw68qeObVEIZeEuDrcC46JFUu2o0p4PjrIZh7Vl8IOGMV5N+tpegmPY7o6rforq1WnrinBIdDYPInA0juHeHLsE9TdrKSec9uJWdXKbHX9Cbh+v5Ilb77WDktNnJmbCTnt03IdWpCb74abb/u/8oOf8OCFThLyjEsWNFixKq8PBdlXPOzIxKXwHfTvgXgju/WkpUYxrr+qc0+roiIiP+gitSTeMMAhOv6UbYpE9uSdcx/YRvL3tpNp/FJdJ+UQkiCe0uKfIUoVs/DT78bePqVEm67X8+VUy6OP7g/EbDOQtq1xUiAtjcWYeijJuujMAS1lLwnq+s8BUHgl28qefulcjI6Kxn06jB0Ue5dIm0KgiCw4/cslr6xG22YmvS3pqBPj/ddPC6BouX7OP7FShzGKnSjBqMfOwSp2j9KJHyBfuzQ05nVloL5eAkRwzs06xhSp4tVY948fVvhdPHAZytEsSoicpEikUkJ7dsW+rYlOK+c/Hnb2T13B5t+OEKbAVH0mNKalL6RftOA3BREsVoPq9aZufWhQm6YqOOuh8Xxg25FEGh1cxHBK87MP5eZQL+hCkF15sNkNrl46ckyFs8103Nqa4Y9mOEXth2mEisLpm/j8Kp8ulyZhOqGK5AF+E4UGg/mceyjZVTuzyVsYBqqy65AHu4fDWe+RDekT4vJqEK1bZWt2EhAcniTj3FKqJ77Kbnp45uaFZuIiEjLQB0TTPIdQ0m4cUC1k8D89cy4ex1hrXT0nNKajpcltMgSgZYXsRc4eMTGVbfmMaCXmntedk/9mEg10nIHnXrmIbXV3O6Sw64NMacn6Bw/auexO4vJzXZyxX970mG077KWZ3N4VR7zX9gOgkC76RMI6NvWZ7HYykyc+Ho1hYt2E9Aq4l9Zl3oxYTuZB0BAE+udJS6B1WPerOVLfP3HN2Hx4cWUiIiI95GpFESN7kTkJR2J2H0S+4JVLH5lB6ve30vXia3oMbkVgeEtpwdHFKvnUFLqZNwNuURHyHnuo1AUSlGououQGUZSniivtb2yk4JD86JP316x2Mzzj5QSHilj6g/DiGjt+8y23eJg6Vt72P7rMdoMjCL43qtRhmh9EovgdJE/bzsnvv0biVRCyHXjq039ZaJfZkvGlpWNVCknIDGs0Y+VOV2srEOo3vjRjRxt7dtmPxEREd8hkUgI6pQIna4n8MZy8uZsZcuPO9n4zWEyLk2g1w1t/OI39kKIYvUsbDaBq2/No7zCxVd/RKIL8v2S88VCRq8clAWuWtsz3wuhYnx1PbDTKfDxWxV8/aGR4WM0dHl2OKpA3/vH5e0r44+ntmDIt9Dq/pFE+HBcqmFPNkc/+AvzsSKixnRGPmo8Mp1vRLOIe5EXZqJtE9kku7P5V71Xa+n/mq9uIzdeLAcRERGpRh0TTMrdw0m4vj8FC3aS+cdGds45Ttsh0fS9OZX4Lo2/UPYWolj9B0EQmPZUIRu2VfHRTxHEJYovjTuROIUat50BsGtbLIKmOhtYVurkmftL2LzWytAH0+l1U1ufl1+4nAIbvz3Mqg/3Edk2iIwPbmpS1ssd2MpMHP9iFUV/7SEwLYaoZ+9DlewfpRGNRRAEXIZK7HmFOAqKcRSX4SirwFVhxGkyI1iqEOwOEASQSpGolMi0AchC9MgjwlDER6NqlYg84uISYsYDeYT2bdOkx345tR8PfLbydGZ16ic3i0JVRESkTuSBauIm9iZmQg+KV+yj9Pe/+e7G1SR0C6PfbWm06ud/zViiIvuH978o56ufDLzwVihde4r1Xe5mz8poumRU1+RlP66jaFrw6fv277bx2F3FWMwCkz7pT0pv3y9bGgoszHtmC8e3FBM3sTcJNwxAqvD+MrvgdFGwYCfHv16NRCIh9IYr0Q7s2aKsqJxGE9bM49iOnsCWlY3tRC4uo6n6TomkWoSGhqBQ6FGFhyNVqZHK5SCVgsuFy2bFaTZjNZZhPXIcZ1kFAPKIUDRd09EO6IEyLvo8Efg/zgoj1vwKdB3iGvW4/D+3kzNjI/mTezM2OZy2WcVM/vJWshP8N0PiKVx2Jw6DGYfRisNkxWmx4aqy47I7EOwuBOc/KzsSkEilSBUyJEo5Mo0CWYAKeaAKuU6NPFDt82EeIiLeQKqQETmqIxEjMihdfwTjrJX8cs86otsH0//2NFKHxviFlzmIYhWApavNPDq9mKm367j8anFJtblIqlykjSvAkqrg+AfVnc2CTs7xV4Ipv1SDK/jM2+7PWSZeeaqM1mlyrvxiGEExvveyPbA0hwXTt6NQy0j/7ySCuiT5JI7Kw/kcfW8JlQfziRzdEcXoCS1iyd9ltlC1P5Oq/UeoOpCJI68QAGmQDlVyPCHd+qOKikEZEY0iJKxamDYCh6kSy8ksTIf3Y1y/DeOSNagzUgm+cjTKpMaJPX/BeuQ4QIPFqszh5I6vV3PbqgNYC43kzNjIzd/dUX1nC7qQaSiCS8BWbKQqt4yqvHKs+QasRQZsxUZsxZXYykw4TdYLH6ghSCUoggJQhmpRhgeiDNehigpCHRWEKiYYdWwwCjdPGBMR8SUSqYSw/m0J7deG4B0nqPx1GbMe3khEGz3970ij/cg4n4tWiSAIwoV3a1kYDAaCgoIoO9QKve782bBjJ+z0Gn2C7p3UvPx1KDKZf1xFtFQCNltIu7raO1UAth+NgzqyFHa7wLsvlzPj60rGXaOl3WPDkat82yBkMztY+uZudszKIm1ELPq7rvLJj5LDZOXkt3+TN3cbAcnh6CZdjapNstfjaCiCIGDPLcCycz9VOw9gPXoCXC7kkWFoE9oSkNQaTWIK8qAQty8tCQ4Hxn07KVr/F478InQjBxB85WgkipZ1HV42Yx62Xbvo/v1dF9xX5nSx4h97qndVct62Owm6ZRBBE3t7PlAPIwgC1kID5qOFmI8VYz5ejOVECZbsUlxWR/VOElCGBaKKDMKpDUMWrEcWpEOqC0Sm0yIN0CAJUCNVq5ColEgUiupMqVRa7TYiCOByIdidCHY7gtWGq6oKl7kKV6UZV6UJZ4URZ4URRVURtiIjVQUVOCvPiGG5To06LgRNfCiahDA0CaFoEsNQxwYjlYuNjiItH8PebEwzl3JsfSHhrXUMuLOdR0SrtdLOW/3/pKKiAr2+/kavf7VYNZtdDBh3EmOlwBdzIwgKFr9kmozDRas7SwheWlVjs6mDnIMLY2psKy128sQ9JezcamXE453pNjHF5/UxBQfKmfPkZiryLCTdNYLIMZ28HpMgCJSuPcyxj5biMFrRjxuJbsQAJH744ycIAvbjOZi37Ma8bQ+OgmIkKiXqDm3Rx3VA2yYNRbD3aiYFp5OyDaspWrEAZXI8EffdhCzQ91n6hlLy2tsEJIXT9vFLL7jvrCkfE11srLFt0MJHcbawpWtBELAVGTEeyKPyUB6mQ/mYMgtxGKu/Q2SBKgKSwnGFxaGIjkARHYE8Khx5WIhPLkZcZguOolLshcU4Cktw5BchKc3DcrL0dFZXIpNWi9jEMAISwtAkVotYTXwoMo3S6zGLiDQX4/5cTL8s4ei6QiLa6hl0d3tSh8W47ffxohGrr732Gk899RQPPPAA7777boMe0xCxKggCN9xbwJyFlXw1J5K27cQvkqaizLSSPqywlm2OSwa7N8bgjDjzw7Jvl41H7yjG4RAY+3p/Ero13QDdHQiCwOafMlnxzl7CW+mIeexqnzRRWQsNHP3gL8o2ZBLSpzWaCdcgD2/+2E13Y88twLRhB+bNO3EUliAN1KJrm0Fg+44EpLRFqvCte4Ml+zjZM75AFhpE1ON3ItX4v4+gy1JF9v0v0PqBUUSN6Xzefb+79Qtanyytse2qb24nP9b/3ivnIjhdmDILMOzJwbg3B+O+HGwllQAow3UEpkbjjExGmRiHIiEGWUjL8Lg+u2HQnluIPa8QWWk2lpOlp58fgDI8EE18KOr4UNSxwWhiQ1DHhqCKDkKm9r3riYjI+TDszcH48xKObyoiukMwQ+7tQIobGrEaKlb9eq1s8+bNfPrpp3Tq1Mntx/74mwp++t3Iy++FikK1GUR8bCDhtYpa241dFRyeHXXa5B+q61NffqqU1A5Khv7X92NTTaVW5j+3lSNrCoiZ0J2kWwcjVXr3IyE4XeTP3c7xb1YjD1ARfs/1aLql+9WPtLPShHnjTkzrtmLLykaiUaNv1xndJVcTkNzGr/xdNfFJJF5/N8e/eZ+SL2cSPu16v3ot68J6OAtcAvpOCefd7+ebPiMxt7zGti+n9PVboXpKnFbsOEHFjhMY9mbjstiRKGTo0mJQ9eyOvnUSqlYJyIL93+exPiQSCbIgHbIgXY2hHEFUX4jY84qw5xfiyC9CbsjFuC+Hor/24rLaT++rCNWijg5CFfXPf5H60/8pI3TItWLTr4hv0afHoX/pZgJ3nqDixyXMuGcdiT3CGXJ/B+I7ez7B47ditbKykuuuu47PP/+cl156ya3H3ritioefL2LyzYGMHu//DSv+StqYfLT77DW2CcDepVHY2p65ALDbBf73Sjk/f1XJ+Ila0h4bjlzpW4GTtamIuU9vwelw0e7Fqwjt7f3JT6ajhWS+s5jKQ3lEX9YV+ajxSAP8o3FDcLmwHjhK5eqNmLfvBUFA07EdsRNvRJua3uCmqPLN6yj5exlhA4YT3LOfh6OuRhUVS8z468id8RWm9dsI7NfdK+dtKlUHj1aLlfOIzpk3fEJcvqHGthlXdOermwZ6OrxGUZVXTvnWY5RvO07FjuM4K61IVQr0GXHoxgxHnZqCMjm+xdUUNxWpRo2qVQKqVmcuRLRUZ2Od5UYcRSU4ikqr/y0uw1ZUiGFvDrZiI7jOLHrKApQoI/SoInQowwJRRuhQhetON4Apw3XIdWq/vzATafkEdU5E3+lWAjdmUvL9Ur67YTWpQ2MY8kA64Sk6j53Xb78xpk2bxqWXXsqIESMuKFatVitW65nid4PBUO++JaVOJt+RR/dOah58Othd4f7rCPm1koBzhKo1SsrejbE1sqllpU6emlbCtk1WRj3VmQ6TfFuf6nK4WPPJAdZ+cZCknhFEPHQ1yjDPfcDqjMHmIPvH9eTM3Ig6PoSoJ+9G6ScNVM5KE6a/t1C5aiOOwhLkMZFEDLsUfafuyAMb/zqV/L0MR0UZJX8vq1esekLQ6tplENCzExWzFqHt2QmJj8sTzodw7BBBnRLq/Vz8dNNntYTqd5N68+mtg70R3nlx2RwYdmdTtimTss1HqcouA6kEXftYAocNRNWhDaqUBCSNdHy42JFIJMhD9MhD9JCaUut+wenEWW7AUVqOs7QCZ2k5jrIKpFVFmLOKKNt8FHu5uYaglSrlNcSrKkJXLWojdP9kaPWioBVxCxKJhNA+bQjp2YrgFfsp+GEFn1+1jC4Tkhh4T3sCw9xffuWX3yAzZsxg27ZtbN68uUH7v/rqq0yfPv2C+7lcAjc/WECl2cWz74eIo1SbQfnoAPb2VpE2rgBFmUD+LVpyn6/ZUHN4v42HbyvGbBaY/OlAknr4tj7VkG9mzpNbyNlVSuKNA4md1NvrfoqGvdlkvrWIqvxy9JcOQz92qF9kmWzHczAuW4dp4w5AIKBHJ2IuvRZNYvMuLsIGDD8tROujIYK2KUT1uZRjW17DtGE7gQN7ue247sRVZaXycD6Rl2TUeX/KsUKScssR4HRN+NeT+/DFLYO8FuO52MvNlG7MpGzDEcq3ZuGqsqMM16Ho0J7w8Wmo27X2mxWClopEJkMeFoI8rP5su+B0VrsWlFXgLDPgKKvAWVaBo9yAUFiMcW8OthIjguPM5ECpWoEqSo8qMghVlL669CA6GHV0EOrYYOSB/l/jLeI/SGRSIkakEzYojby529g/Yy17F2TT95ZUel3fBoXafSuoftdgdfLkSXr06MFff/11ulZ1yJAhdOnSpd4Gq7oyqwkJCbUarN7+pIzHphfz7lfhDBwufpk2BnmBg9RrCjH2VnHyjTP1KZqdVTjCZdjjamauls438/wjpSSlyBnx1jCCYn3bmX14ZR5/PrcVhUZO4hMT0Kd7d/qT02Lj+FeryZ+7jcB2sQReO8nnRvaCy4Vl+z6Mf63BejgLWWgQIV0HENStN3JtoNfiaGxmtTH7H//tEwSrjagn73ZXuG7FsvcQRW9/SZfPbyEgqf6LOaXVzp/XfMBvV3TnMx8I1aq8ckrXHqZ03WEMe7MBCGwXi6x9RzSd2qOIjxYzdn6I4HLhMlTiKK3AWVKGo7QcR0kZClMB1kID1vwKnGbb6f3lOjXq2JDqBrD4UNTxIWjiQtEkiG4GIhfGbrCQ/dN6CuZuJTBczdAH0+kwOv683w0t1g1gzpw5TJgwAdlZTRtOpxOJRIJUKsVqtda4ry7qcgPYvKOKgeNOMvlmHQ8+E+zJp3DRETLTSMpj5UB1TWrFMBXHPo5AUNd+A7pcAp+9a+Dz/xkYeZmGLs+OQKHxXebQaXex4t09bPohk7ZDogm+9xqve6eWb80i891F2Mst6Cdcgm54f59OoHJZbZjWbsG4ZA2OolJUbZMJ6zqYwLQMv2qWqo/Md17EUVGGPCiE1g/933n3rdi2kfx5M4l79/+QBfpffXr5nCWYV66l52/31fhCj8wrA6AwpjqzJrM7kbhcOFTeK2ewZJdSsuYgJWsOYjpSiEQhI7hbMpL2XdB0ao8syLvlMyLuRxAEXJVmHMWl1XZcRaU4CouRVhRQlV1aXWrwD8pwXbUlV1IYAUnhaJLCCUgOF5u/RGphySnD9N2fHFqRR3yXUEY+0YmYDnWvErRYN4Dhw4eze/fuGttuvvlm2rVrxxNPPHFBoVoXxkoX192dT5d0FdMeC3JXqBc9kkonqROL0O49U5sqAVQnnHUKVVOli+ceLmXVEguD7+tAj1tTfZptKc82MfvxzRQcLCf5rmGET+ju1XgcJitZn62gcOEu9J0TCXvoLuQRvhuD6aw0UblsHcbl63CZqwjonkHsFTegiUv0WUxNoSGlBacISGkLgoD1yHECunTwQnSNQ5J9BF2HuBrvy6tmbeKhT1fyw8RemLQqlvdPJScxDPD8hYQlp5SSVQcpXn0A89EipGoFIb1boR4xAk3HdkjVojC5mJBIJMh0WmQ6LaqU2m4ULrMFe35xtZtBXhGy8mzKNh8l749tp+tllZF6tCkRBLSKQNs6Em3rSNQxIT6feCTiOzRxIWieuh7F6OMUfr6Qr6espMuEJAbfl442tGnfIX4nVnU6HRkZNeu3tFotYWFhtbY3lPueLqSgyMFb30WLdaoNRLvWTOqUklreqfZgCfsX1V6+zjnh4OHbi8nLdnD1u31oOySm1j7e5MDSHOa/sB2NXkHGu1MJTPVuPGWbj5L5zmIcpipCrp9A4ODePhHuxpUbMPy5DHl0JLbM6pGeQV16E9p3CIoQ75n2u5Pgnv0aXNsqDw5Bqg3Anp0PfiZWBZeLykP5xF1zpp52ys/rmfb1GgCun7kJAKtCxkwPev9aCw0UrzpA8Yr9mI4UIFUrCO3TmoAxo1FnpCFV+m9zmohnkQZoarkZBAKC3Y49vwh7dj627HyE4hMULt6NvdQEVLsXaFtHom0bTWDbKALTYlDHigL230ZQ1yT0799B4J87OPDdKg78lcvg+zrQ9eoUpI2cFup3YtXd/PKHke9/NTL97VASki76p+sWku4tJmyepcY2ASi5QsOJ/9Wuq9u6oYrH7iohUCdhyrfDiGjjO89Eh83J8nf2suWnTNJGxBJ0z9VebRpwmKxkfbKcwsW7CeqWjHby5PM2SXg0lpIyymfOR7DacJYZCBs0kuDeA71aj+prJBIJ8shQHMWlF97ZyziKqicfaVOrL/4um7/9tFA9RWmQhplXu785zG6wULLmIMXL92HYnY1EISOkd2s0I0ag7tQOqcqz9Ykaqw3JWRVoFqUCwYelMSKNQ6JQoEyIRZkQy6niGj3gNFRiO5GL7UQO8qJjlK47TN7vW4DqiWSBqTHo2sWg6xBLYLtYn4yzFvEuEpmUmPHdCB/cDtvP81j8yk52zj7O6Ge7EJvR8N9Gv6tZdQenalb3rEpkwLhsRg4O4In3gsUGgAaQ3icHVZ6rxjaXAnbujEHQ1hb7v/9UyWv/V0a3Xir6vzqcgGDfLROeWvYvPFRB4h3DiB7X1at/8/Itxzjy9iKcZitBV1+GdlAvn7znHMVlGBYsp/LvrUjkUiTICBtyCaF9G2d11BxLKV/4q9bH8d8/QyKVEnHfjT6N41zM2/ZQ/OH39JhxD9GCwLxrP65xf0F4IFf+dI/bzueyOSjdkEnxsr2UbT6K4BII7pqEtHMvArqle2zaV6DZwm2LVzFx7TYiDEbkThfnytKebz5DYUjLHQwgUj/OSjO2rGxsx04izcvEeCAPR0V1LawmIRRdehz6jHh06fGoY8Xf6Ysd4/5cCj+aR8GhCrpNTKHvzW35cPSSllez6k6mPVWINkDK3S/qxQ9AAzF3VKDKO+OsUNlJwaF5tZf9HQ6Bt/9Tzi/fVjLxhkBS7h+OTOG7zMihFbn8+X/bUOsVpL9znVeX/Z1mK1mfr6Rg/k6CuiahnXytT0alOkrLMcxfQeWazUg1asKHjkEik1O2YRVSeeOXcptjKeUpO6qmoHCqsTsqL7yjl7HnFyHTqgiTwLzJNYVqZYDSLUJVcAkY92ZTtHQvxasPns7kBl19KdpenT3aJDV55QZe/mEOMkGoVU4k8u9BFhiAJiMVTUYqMJxAQcBRVIot8zjWI8epPJhJ4eLdIFRP8grqlIC+UwJBnRNRx4eKv90XGbr2sQS+ezuaudvY8+1qTm4radDjLmqxumpdFR98H0FQsP93OPsMu1D9LvjnC+HYZxEEp2SDAFmvB1M2qfaPmaHCxZP3FLNlg5XRz3ShzcTaptbewml3sfL9vWz89gipQ2MIvu8ary77V+w6yZE3F2AvNxMy9QoCh/Tx+perYeEqKv5chmCz/yNSRxPScwBSlep053xTRGNjGpnc+dh/C86ScpJDAlg06aNa913+y7RmHduSU0rRX3spWr4Pa34Fqig92iH90fbrhiI6olnHrguJ08nQ3YdY2SkN1z/L+aEmM/LzLNydusclAZvizHe0zOnky/e+4anrryTPBxd9Ip5FIpGgiAxDERmGtm83oLqRy3o4i6pDx6jKOkTx6oPgElCEagnumkRQ12SCuiahihAdKC4GJDIpsRN6EDYgDXNWEUXP/HbBx1zUYvWWa/X0HSSaHNdHwFozaVNLKL1MzfH3//kBk0jYuzwSW7IS6iiGP37UzkO3FlNe6mLSxwNI7uX+H76GYiywMPvxTeTuKSP5jqGEXdXDa0LRZXNw/OvV5P2+BV16PKEP3Iki0rud/i6zBcOSNRjmLQNAqlLT6r5nkanPvOebIxob08jkzse6G7vcCvhfk5DLbGFfdlmt7UPmPYS9CRZVdoOF4pUHKFq2l8r9ucgClKi7dybohm6o2iZ7xC6tz95DPD57CV2PnUQKpH7yEtZ/zlN11tQwgeq61J3J8azKSGXGwJ6U6WsKD73ZwsZHXkbhcCJ3uVj27Jt0+ORlt8cs4n9IAzRoOrdH07k9MJbgKivWw8eo2p+JOfMgRcv3gQCaxDCCuycT3CMFfacEZF60chNxP6oIHbKAhtXHX9RideJD/uer6BcIAu2H56HOdCIBQudWoTqRz+GZUQgqCbZWddedblhTxZP3FBMeKePa74cTmui7Rp1jGwr548nNyJQyOrwxBX16nNfOXXk4n8Ovz6cqt5zgq8eiGzXQq76pgt2BccV6DPOXI1htBLRKxVZcQNjAkTWEKviXaPQVLpPZ6xcSDUIQ+CFUS0ZiGB0O5qG12BnaSKHqtNop23i0Zh1qjxTC7pyCpksHj3Tyy+0Orlq7hRdm/InGbq+5xH9WJnVHSgKLO7fn0zGD2domucYY5rowaNRobGeOp7U7yDh6gj2t/N9azbhyA4YFK9CPHYpuSB9fh9PikapVaDq2Q9OxHXApwZUmqvYfoWrvYUr+PkDe7K1IlXL0nRII6dWKkN6tUccE+zpsEQ9yUYtVTYDYXXou8lw7HfvlIzlrdU4C4BQQVPX/mMz8zsibL5TTe4CaPi+PQK3zzRWt4BJY+/lBVn+8n5Q+kYQ/NBFFsHemYwlOFzm/bOTk92sJSAkn6v/u9+oUKsHlwrxpJ+WzF+MsrUA7oAdRPUaj0Ad7LYaWiLPMgLqO+es+xeFAqg/kXq2Krq9Ppv/aQ2zo3Rqn/MIlSy6Hk4ptxyleuZ/SdYdxmm0EpkUTfM1lBPTqjEzvmYvIkIpKZr7+CW3zi+qsQRWAlLxCDiRVT4fb1jaZO9re1PATSCTcf9sk3v/il9Ob+h3IbBFi1bBgBc6ScgwLVohi1QPIArVoe3ZG27MzgiDgyCvEsvsgwqHdZH22gmMfLUOTFE5on9aE9mtLYFqMaJN1kXFRi1WRmrS+vhD9amutH5qSy9Qc/7Du5XyHQ+Ct6eXM/K6Snte1ZtDDGUjlvrkIMJdbmffMVjLXFhB/XT+ir+uHROadWKpyyzj8+nyMB/LQjxlC0LgRSOTe+/hUHcikfOZ8bMdz0HTpQNSkO1BFRHnt/C0VweHAWVaBzEf2YbUQBDY8+jJLO3fgodQUSpatw5Jdytr+qed9mNNio3zbcUrXHaZswxEcxirU8SFoRwxC27uLR+pQT5GReYLZr32MwuWqU6Q6pBKORkUw5eFbKApt3us8t2833vvilxbXkKUfO/R0ZlXEs0gkEhSxUShio+CSQegsVVTtPYxl534KFu0i55eNKEK1hPZtQ2j/VII6JyJViH0rLR1RrP4LkFS56NQ5B1lVze0CsH9+BFUZddf1GitcPDGtmC3rrYx+tgvdrvFddipvbxm/P7oJm9lB+5evIaSHd2IRBIHCRbs59vEylKFaop64C1WbZK+cG8BeUEz5zPlYduxDmZJAws33EpDUymvnb+nYSovB5UIRE+nrUABY9swbxJQbmbpqI1NXbeSkVEL7l+bS9rExBLSKPF1z7TBWYcoswLgvl4qdJzDsyUawO6vHXQ7qR0DPjijiY7xSo621O1C6atrZCVTXpD49dTy/D+jp1vMJ0OLEqm5IHzGj6iOkGjUBPToS0KMjgsuF9chxLNv3Ur51FwXzdyILVBHaty1hg9II7pYsCtcWiihWL3KkFU46d81F4qy53dhVyeFZEVBPZvLkcQcP3lxEabGLiR/1J6W3b37sBUFgx6wslry2i8jUINq8fgOqSO/4MdorzGS+s5jSdYeJHN0R5WXXINV4x0fWZbZQMXcpxuXrkAXpiblqKroM7/rGXgxY83MAUMZ7r1yjPj7+4DvaFFTbtJz6K0678Wpci/9i593fItepkQUocZisOCur7eNkAUp0GfEEXTUWTad2KKJqD+VwJ333HuaDz35iU5sk7r7vJgA2tmtFfrCe6HIDArC0UzvunHY9Tk+sLAhCLQ9WEZGGIpFKUaemoE5NQZh4KfaTeZi37qZy5w6K/tqDLFBFWP9Uwoe0J6hLotdW5kSajyhWL3IUBS7KRqoJXXQmrZr5UQgVl9Zf17Z9k5VH7igmKFjKtd8NIyzZN3Yh9ioni1/Zwa4/TtD1mhRUN05AqvTOW7ZsyzGOvLkAweEifNoNqLule+W8gstF5epNVMxegmC3Ez74EkL6Dkaq8OxEocbgT4b/F8KScwJ5ZBhSrXfqmuvj4w++Y+z2vTW2vTF+JLsG9CCiTxeq9h/BdiIPwWpDo1YhCw9BEReFIibSK817/fYc4tOPfkBnrS4Tap9TWOP+6x+6lVBjJRvTWnl00tRzP8+tcdvuxVIbkYsLiUSCMjEWZWIswhWjsOfkY960C8P2bRQu3o0iREv44HaED+9AYGq0mAjwc8RvgosQWbEDZ4gUZFKsqQqyPo0guNVJkMDO7TEI+vr/7H/OMvHiE6V07q5i0Osj0AT5RiSVZ5uY9chGSo4ZafPYWDQjM7xyXpfNwfEvV5E3eyvB3ZPRTrkOWbB3MrlVh45R9tMf2E/moe3Xneg+lyHXB3nl3I3Bnwz/L4Qp/yiqNkk+jeHJX/6sJVTXpaXwwbgRAEjk8rM6n73LgF0H+OSTHwm02urt6gc45KXMdPfM4zVuz+3dxSvnFbm4kUgkKONjUMbHIEwYhS0rG/PGHRSv3k7enK1o4kOJGJlOxPB0r63ciTQOUaxeTAgCqeML0O60UzFYxdHvzizd79oegyuo/j+3yyXw8ZsVfPWhkfGTtLR7bITPJlJl/p3PH09tQa1Xkv7uDWhbe6cEwZxVzKHX5mE5WUrw5MvQDe/vlayWo8xA+a/zMW/cgTIlgcTbHkAT71uBdYq6sqgtxfDfaTZhP5GLblhfn8XQ/dBR7l6ypsa2Ne1bM/XRO3wUUTVDduznw89+QnuuSAXsMilvXzHSJ3HZ5HJcEpAKUKlSUuLBCVsi/04kEgmqlARUKQkIEy+lat8RhJ3ryf5pPSe+WUNQ12SiRncktF9br63kiVwY8S9xkSArdNCpT97p2tSgVVZwuk7XpJ5PqFosLl54pJRlCywMeyidDje29cmSyNm2VG0GRBH64CTkOs8PdRAEgYI/d5D16QpUMUFEPXMfygTPj2sVHE6MS/+mYu5SJEoF0eMmoe/S06uerReirixqS/FuNR09DIKAukNb3wQgCPz+309rbDoQF+VTofrCD3O4fuWGOkeg2mRSXr1qDF9dMsgnsQE8f+04wisq+f69r6kSSwBEPIxEKq0eA5uRivrKKsxbdmHfvIFDr8xDrlMTMSKdqLGdCUjybK24yIURvw0uApLuKyZsrqXGNgmg3mejquP5xV5xoZOHby8m86CdK9/uTdqwWA9GWj9VRjvzntnC4VX5xE/tR8TU/l7xybMbLGS+tZDS9UeIuqwLikuv9oiR+tkYV26g4o+/QCLBZagkuGd/woeOQabRePS8dXGh+tOWkkWti4rs3Sjio5GHBvvk/BJB4P0xg7lv4Sqg2uJp9AsP+iSWU8SVltcagWqTyXjpmjF8O3Kgj6I6w77kao/WrSkJfDXcdxlxXyMOGfA+Uo2awIG9YGAvAvOLqFy9iaLlW8ibvRVdRjzRl3YmbGCamG31ERJBOM/w5haKwWAgKCiIVXviCNT5T5bK3UhMTjp1z0NmqfknFICDsyMwdzu/UD18wMaDtxTjsAtc/r9BxHTwjRdl0REDsx7agKnMRsrj4wjt3dor563YdYLDr/2Jy+og+MaJBHT1fBOV01BJ7hP/RbDZQC4j6dYHUcd4fvpWfaI0850XcVSUIQ8KofVD/+fxOLyF4HBw5O3nCRzWl+AJl/gwEIGd972ARaWkz5tPX3CKkzvRV5q4bcka3r5y9OltwcZKdjz4IhKqRep/Jl3G98P9I0sudTqROxzYVN5x3PBnch5/FWdJObKwYOJef8rX4fxrERwOzNv3Yl//N4adJ5AHBRA1phPRl3URa1vdhMNkZdOE/1FRUYFeX/9rKl4itFCi3ywj9v3KWttN7eUc+iMKQXV+kb5ulYUn7ykhLlHOqHeHo4/yflYP4MDSHOY9u5XgOC0d3rsJTZznBbPgdHHyx3Vk/7gOfacEAqdO9Xj2TXC5MK3ZTNlvCwEBqSaA8KGjvSJUof6mKH/LnLrLacB07DAus4WA7h3dGN2FkTkc3L54FZ+OGVrdNS+R0PmD6V6NIaSikl/e+JTUvEIkwLr2bdnQvvoCsFwXyLNTxnMsMpS1Pmjoqo+osgrWP/YqZqWCjI9e9HU4PkccMuAfSORytD07Q8/OaPMKMa7YQP7czeTM3Ehov7bETuiOLiNedBLwAmJmtQUS/EclKfeX1ao5O/JxKIax2gs+/rcfKnn9uTL6DlbT+6URqLTeH53qcgqs/nAf6748RPtRceinXYNM43nnAWuhgcOv/YlhXw5B40agv3SYx2tEbTn5lH73O7Yjx9H27050v/HItZ4ZiVkfLcVuyl2Z3pOLvseWlU3MS4947YdEYbdz6K5nkQBl2gBMaiWj/vMwZrV3MoWhFUZmvv4pbc4Zh5oTrKPfW896JYam8uTM+dy9eDUAXw3ty/SpV/g2IBGRenBVWTGt20rVqjVYskvRto0i9qqehA1KQ9qAcckiNREzqxcxpu5KDL2VBG20AWCLkLJvRTQu3fk/KE6nwHuvVvDD50Ym3RRIyv0jkMq8f0VoMdj448ktHFtfQNJtgwm+ppdXBEXp+iMceXMBUpWCyMfu9Pi8eMFup2LecgyLViKPCCPhxnsISGlz+n5vCsiW0hTljkyvy1qFZfte9GOGeDXjsfax104b2oeazISazJhVnr8ACy038uvrn9C6oLjWBawALOvcweMxNJc7znJMuHnFelGsivgtUrUK3bB+BA7pQ9XeQ9hWr+Dwa39y/MtVxE7oQdTYTsgCxFIWdyOK1ZaA3UXMOxXkPV69RG6PV5L5Uzhd2uWS84COovuCL3gIi8XF/z1Qyqq/LIx8vBOtr/NOXei5FB0x8NuDG7BU2Gj/0jUEe2FsqsvurPZO/X0LIX3bEDB5CrLAC2egm0PVwaOUfjsLR3EZYQNGEDpwBNJzupv9wa/0XMF86rYmIRnLySyvZ2IbIqovJPINe3cg2Oxo+3XzVJi1WPr0G0QZa5blDHjlMY/WqIaVVvDrG5/SqrCkTpG6vGMat997g2cmTbmRoEozsrMW+MwebnAUEXEHEqn0tD+y5mQezr//4viXqzj50zpixnUj5oruKIJ9O4zkYsK/v8VE0C030+bm6h8jl0pCwQPB1XfIZew4ktCgY5QUOXnotuqO/6ve6UPbIZ63ZaqLg8tymffsVoLiAujw0s2oY4I9fs6qvHIOvTIXU2YhwZMvJ3BEf49m21xmC+W/LaBy1SZUbZKJv/pWVBFRde7rqXrRxmRsS/5eiqOinOKVi5Hp9BQtX4DLYsZoKAdBoHjVEvRde9US2r6Ktzrm84v8st3rUae3RR7mnYbBH974jLYFxTW2vXblJZz08GjUNc+8gdZmr7FNAP7q3J677pnq9yL1FD++9XmN2/feOcVHkYiINA1lQgxcewMxl5RjXLKG3N83kjtrC1FjOxE3sRfKMNEvuLm0jG+zfyOCQNtrCtFttp3eFPuO8YxYbSBHD9l54OYibDaBKV8PIbp94x7vDgSXwJpPDvD3pwdoNzKWoHsneqU+teTvQxx5ayFynZrIp6ah+scWx1OYd+yj7PvZuKqsRI69iuAefc9bD9vQpfn6sp/1ibv6xJzLasWSc5yq7BNU5WVjK8zHUVEBgNNkJHfGV2cO8k+my1lp4PArT6KOiUeb2oGgzj1QBIc29CVpEBcSn+c+3/OJ/Krck9iOnST83hvcGmN9TF22loEHMmts+/iSgXx86TD3n0wQamRqF3dN58qNO6rvAhZ36cA9d1/XYkQqgMpmp+OJ3BrbVnVM81E0IiLNQx4aTMjky9FfNgzj0rUULvmb/D93EDWmE3GT+qCKEEVrU2k532r/ItT7rLS/tBCJq+Z2oZF/rU1rq3jsrmKiY+Vc+b9h6KO9vyRhrbQz79mtHFqZR+LNAwmZ3MfjdYQuu5PjX6wkb/ZWQgekEjBpCtIAz7kdOI0myn6ei3njDtQd2xE74hoUQe7L6p0r5i4k7k6JudD+Q7GcOIbpyAFMRw9RlXsSXC6kKjWqmDiCI9NQpw5EpQtDqQ1CrtIiVaiQSKQILicOqxmbqQxLWT5lhkzK1q6gZOVi9J17EDHiMuSB7vnivVCG+VS2t2j5gtMCvz6RX7xnNbLQYDSdPN/pPmrbbl7+qeYs+9/6duO1iZe59TzRRaX8+sanSF0C/d98+vT256Zewaid+1jdIZVpd03BJWt5zR0ffvxjjdvLO6TibIHPQ0TkbGSBWoKvGIV+1ECMy9ZRvGw1BQt3ETW2M/GT+6AM826D7cWAKFb9iTqyqVCdNTH2UnJkZsPHjs77zcSLT5TSo6+KAa+NRBXo/Tqw0hOV/PbABoyFFtpNv5LQPm0u/KBmUlVQwaGX5mLKLCBkyji0w/p5VBybt+ym9Mc54HQRPWEK+k7d3X6+c8Xc+cSdy+FArg8iIKUNJSsW47SYkGoC0Ka0JTKhB7qoVqiDI5FILuCAIJMjU6hQBYagi2pFJP1wdrVSfHgTubv+wnR4P3GTbkaT2Pya4wtmmIVz/q0Hh9GAadMOgidcgsQLgmfanytwAqfOVBIYwCO3TXLb8WMKq0VqfGn56ZrUEdv2sLRbBgDGAA3pH7Zsm6cRu/bXuH37/Tf6KBIREfcjDdAQdPlwdCP6Y1y6lqKlqyhctIvocd2Im9Qbhd43lpEtEdG6yk+Q59np2C+/djYV2D87gqoLGPyf3l8Q+OxdA5+9a2D8JC3tHhuBTOH91+DY+kJmP76JgGAlic9NJiAxzOPnLN1whCNvLEAWoCL49utRpTSsprcpOI0myn6cg3nzLjRd04kddg1ynW9MogWXC8vxoxh2bcW4bycuaxXK8EhCYzsSnNABbXiiW+257BYjh9Z9R1VeNok3TUMd1/zX+XylDQ2taS1atoCyTauJe/Npj2bSTxFsrOTaVRt5cvYSquRy0j592S3HjS8o4Zc3PiWurKJW49TatBSmPH6XW87jD2x98D+EG00AHI6OYMTLj/o4IhERz+EyWzAsXk3l0jVIZFLiJvYi5oruXimL81caal0lilU/IfHRYsJ/rTkytXygkqPfRUIDx47abQIvPVXKn7+ZGXxvB/rdlup1s2JBENj8UybL3txNSp9Iwh+djDywYUK7yed0ujjxzRpyftlISN82aK+9DqnWcyUP5m17KP3udxAEoi65Cl1GF5+YQtsryqjYvgnDjs3Yy0tRBIcSntiN0FZd0IR4tonO6bCxf/nHOCqNpNzzONJmTh1qrr+qs6qKzPdeJHBAD0ImuXcZ/lzCyisoCQ4CQOJy8e5nP/PkjVdh0TTvfR6fX8yvb3xKTLmhlkh1AX/06sJDt01EuIiWyVU2Gwfu/j8kwKX/dx97PVxXLnJhxFGvnsdpqKTiz+WYVq1HrteQeOMAIkd1RCJrGXrFnYhitYWJVRwO0gcVoMpxVWdT50RQ1bXhP35Gg4vH7ypm+2YrY6f3IH2s57KK9eGwOVn8yk52zj5O7NU9Sbp1sMc/fLbSSg69Mg/DnmyCrxyNbvRgjwlHl8lM6U9zMW/YjqZLB2KHT/R6NlVwuTBnHqRs8zpMh/chkSvQZ3QhOqYngZEpSCQSCg+sI3/XcqI7DSOynedsp6zGEvbMfp3QgcMJH9K8kabN9Zwt+XsZxSsXEfvaE8hDgpoVS70IAtvvn06I2cLlz0xjd6tEtx16zovv0yUru06R+nufrjx668TqiVgXIdes3kSRPpCVXfzfD/bfgDjq1Xs4ikqxLZ5L8Yr9BCSHk3znMIK7J/s6LK8iDgXwc6Ler0Cz20bWZxHVG+RyDvwWSZtbijk4NwqUDf9hys91cP9NxRTmOZj48UCSenjWMqcuTCVWZj28gby95bR5bCyRIzM8fs6KXSc59Ep1g0vko3egTmvlsXNZ9hyk9OvfcFltHqtNPR8uq5WKHZso2/g39tIiVFGxJPW9itBWXZEpal7U5O9ajs1URv6u5R4VqypdGOFte1O6eS1hA0c0qE60PlHa2KEFZx9H37k7pRtXEti/h+eEKrD5wRcJNVevfnz37ldMu/M61qW3bfZx1VYbnY7n1BCqLuDX/t154qarL0qR2u3QMcq1Go7GRfProF6+DkfkLMRRr95DHhGKfOpNRPU/iXnOHPY9NZOQ3q1Jvmsomjj3uq60dESx6mUkBgcd++cjNwgIgOPpUkqmBmLpoMQZq+DgosYt3x7aZ+P+m4qRK2DyN8OIaO39usmCgxX8+sB6nDYXHd6cgq59rEfPJwgCubM2c/yLVegz4tHddCOyIM9YgrisNspnzqdy5QbU6W2JHXUtiqBgj5yrLhxGA2UbV1O+ZT0uqxVdh0606jOJwMjkesVydKdhpzOrzaEhGdrwNj0oOrAWy8ksApIvPGjCXYMQzj6O01qFy1zl0R/X/371K5GVptO3Q00WCoOb/p6LLSojN6LaMaJKpeTOe6byxYffAzCzbzceu3WiRwcKNBZBEHCZLDhLy3GWG3AajLgqzbiqrAhVVgSHE1yu6phlMqQqBRKNGpk2AFmwHllIEPLwEKQBGtofz2HmG58xs393qpRKZvbvzoGkOF8/RZF/0A3pIy7/exlVSgLKB+9FtWU3xtnz2HH7V8Rc2YOEKX3FaVj/IIpVLxL+uYGEl840TUiAiB9N5D/YtGzQhjVVPH5XMQnJckb9bwSB4Z6tDa2Lg8tzmfv0FkKTAol/9lpUkZ4Vyw6TlSNvLaT070PoRg8m6ErPdX5bj56g5PMZOMsN1b6pPT3rLHA2ttJiStcux7BjMxKZnIi2fYjsMBBV4IUtsSLb9SOyXT8KD6xj18yXmlwO0JAMbUBYPBKlCkv28QaJVXcNQjh1nJA+gyhZ+xeBA3siD/fMEICXvp3F5LVbamy7/9aJHImLbvSx7p37Fw/OW4bUJdDpg+lU/lPn+lfXdBZ3ac+HY4ews3WyO8JuMo4yA/YTOdiy87HnFuDIK8ReWIJgqaqxn0StQqpRI1ErkcjlIJVWe8E6XbisNgSzBZel6rRnL4BUH8heowmFIHDdms0AHIqJbJZYFWssRS4GJBIJAT07oe7cHuOiVeT/sYLiZftIvnMoYYPb+aQvwp/wO7H68ccf8/HHH5OVlQVAeno6zz33HGPGjPFtYM1AUuWiY49c5Maa5cECkPOYDkdk48XW3F9NvPRkKX0GqOn76kiUAd79UwqCwLovD7Hq/X3VRv/3TUKm9qw9lvl4MQenz8FWWkn4tOsJ6OaZUgPB6cTw53Iq/lyOMimOhIm3owxvuG1Yc7AWFVC6ZimG3duQBWiJ7XIJEWn9kKsa393emHKAurKoDcnQSqRSlGER2EuLGhRTY5f7L3Sc4hWLEKw29Jd6Jqs6Yd1Wrl+9qca27cnx/NGve6OO8+Dsxdw3fwXys4Tbf76fzcN3XFt9QyLhjvtuam64jUZwOLBlZWM9nIU18wS2oydwVhirQ9KoUMRGoQmNQ9+2C4rgMBTBIch1Qci1gdUC9ULHdzpxmiqxG8qxl5XQKusIgVs3nLkfeHPuX6gPHEHVvg3qDm1RRDbOOcSwYAXOknIMC1aIYlWkxSNVKggaNwJtv25U/fE7h16ZR9Ci3bS6bySaOO9M5fNH/E6sxsfH89prr9G2bVsEQeDbb79l/PjxbN++nfT0dF+H12hiXykj6tPKWo0TDi3s3haHoG5cPZogCHzxnoFP3jYw4VotaY+OQCr3bk2bw+pkwfTt7Jl/kvip/QiZ2h9JAx0Lmkrx6oMceWsBqkg9kc/cjyI6wiPnsReWUPL5z9iycggbOIKwQSO94tlpKy6keNUSjLu3I9fpSeg1nojUPkjlTb8AaEw5QF3C9tS/+buWY8w/iqkwq84srVwbiNNsbnKcTcVRaaR0w0oCh/VDHhrs9uMn5hfz7pcza2zbkxDDFf93X8MOIAg8Mnsx9yxYWUOkQrVICzdWuinShiMIAvaTeVTtPUTV/iNYD2ch2OxIVEqUKQkEdeyJOjYRdUw88uCQZmdzJDIZcn0Qcn0Qmvgklsz9pcb9j/TsT7BKTWXeYcw//gEuF/KIUNQZaagzUlG3a41Uff5lULHGUuRiRB4eSuCttyHrsR/DL7PZccdXJEztR+zVvZAqLh5HkIbid2L18ssvr3H75Zdf5uOPP2bDhg0tTqy2uySPgAOOWtuP/yeIkhsbv1zucAi8+kwZc2aYGDStPe1uT/P60kBlSRWzHtpIwYFyUp++nPAh7T16PsHp4vhXq8n9dRNhg9uhmTjlgj9eTTqPIGBau5Wyn/5AFqQj8eZ70SQku/0852IvK6V41RIMOzcjD9ST2GcC4am9kcqa/9E8VQ7QEOoTtqdErC2rHAShziyt3CrFIT3HINgLFGxZCDKZR0RKRJmBNc+8UWNbqTaAS1948MIPFgQenbWQuxetrlOklgdouOW+G9iW6rmGwLNxWW1U7TuMZed+qnYdwFlhRKJUoEpNIXzwJWiS26COjvP4RVmrwnwC7PbTtwVg4ZgJREilRFBtP2bJOoIp8yCVe/ZTuWI9yGSo2iShTk9F3b4NyqTYWnGKNZYiFzOazu1RtWtNxdylnPh2NcUrD9D64dHo0jxrT+hv+J1YPRun08mvv/6KyWSib9++9e5ntVqxWq2nbxsMBm+Ed14CdlhRH64pVKvipRyYF4UrtPEvu9nk4slpJWxYU8VlL3aj07gkd4XaYAoPVzDzvvU47S7av3Edunae/bDYK8wcemUeFTtPEDzxUgJGDfSIOHeZzJR+9zvmLbvR9u9B7KArkarO1P+Wb15H0bIFIIGIYWPdsoztMFVSsvovyjevQ6bRkNBzHBFpfZuVSa2LhtpY1SdsozsNI2frQlxOO1KZos4srV1mQ6b07sxra1EBlas3EXzVaGSB7vfUHbj3IM5/3msyoboZsvu7F/Z/VdlsbHnoJfRV1hrbBaBcq+HG+29iZ5tkt8d7Li5LFZad+zFv3U3VnkMINjvy6Aj0HbqjbdsOTWIrpA1YxncnM7/4X43bT42bVMPpQKZWE9gug8B2GUQBtpIiTEcOYMg9gGH+cip+X4REo0LVOglV6ySUKfEoE+M81lwpIuIvSFVKQq4Zi7ZXZ4w//cLuB34g9uqeJN4wAKnSr2Wc2/DLZ7l792769u1LVVUVgYGBzJ49mw4d6vfge/XVV5k+fboXI6wbicWFoJaARIK5s5IdmfF06piD3CiQ/bSewjub1khVUuTkwVuKyMp0cM37/WjVL8rNkV+YI6vzmfPEZkIStMT/n+cbqSoP53Ng+hxcVgeRj9yOut2Fm3eaQtWhY5R8/jOuKhux19yALr1LrX1K/l6Gq8p8+v+bI1ZdNitl61dTunY5SCTEdhlFVIeByBSe6fhsro1VZLt+5O9ajtNmRqYOrPMYjkojqijvXuXnr56DPCwY3fD+Hjn+7wN68vuAnsQXlPCfn/7gtgduwtUAC6mblq6tIVQFoEwbwA0P3czuFPf5staFYLdj2bkf08adWHYdAIcDZasEwgZdgq5dhtfqrutCu2QuGTYrTwJ3Uf26zOnW+7yPUYZFoAyLIISBCE4nlpwTWLIyqSzKxPjX37j+sRGT6rQooiORR4YhDw9BFhKELEiHNFCLNEBd3QSmVCJRyEEmrXXBKwjCP41hTgSHE8HhqP7X7gCHA8H+z3+Os/51OMDxz/5OJzhdCC4nuIRqV4SzE+oSql0SpNLqSXIyKRK5DIlcjkShQKKQI1EpkaiUSNWqM41rKuW/vqlGpCbKpDhCH38A+aLV5M3+i7INmbR5bOy/Isvql0MBbDYbJ06coKKigt9++40vvviCVatW1StY68qsJiQkeHUoQOAKM6k3lZB3dyB5T54pglYdsOLSybDHNe264MQxO/feUESVRWD8+4OJbh/spogbxtkTqdoOjiHkwUkeHw1XtHQvme8uRpMcTtDtN3ukHvF0E9W8ZajaJBN36VQUwXUXr7sjsyq4XBh2bqF4+QIcJhNR7fsT02kEcrX29D7uNPM/dSxtZPLpWlOgScc/N66zb0ek9mHbD08RMfIyQvoMalbM9XGuN2vloX3k/PQF4fdcT0B39zbZDdh9kL1JsZTpG5atC6mo5Ja/1vDW1f80gAoCwSYzOx74D1aFnCufuJO9HhSpgiBgPZKFae1WzFt2I1iqUCbFEZTWHV2HzvW+p71N6ctPUmS3kQRkAY9fMZm5XZruryoIAvayUqz52VgL87EVF2I1FeMoKcNluEAtsEwKp7oIhH/EZXOQSKoFqFRa7YgglVYfXXLmHMKp87hcCE5Xw84pkyLVaJBqNUh1WmSB2up/9TpkQbpqS7Bg3Wlx7o3aehH/wZaTj/GHnzEdKSB+Sl/ip/RFKm9574EWPRRAqVTSpk0bALp3787mzZv53//+x6efflrn/iqVClUzxz02GZdAxx65KEqqv3yiP6kkYKeNo19HIqglWNs1Pa49O6w8cHMxQSFSJn0ynOA47YUf5EZcDhdL/ruLbTOPEXt1T8I8PJFKcLrI+nwleb9vIWJkBuqrJiNRuN9hwFFaTslnM7AeySJs8KjqJqrzZM2a28FuzsqkcNEcrPk56NK7kNx+LCpd7Y5nd5r5nzoWhdBp4rMA7Jr5UpOOf26JwNlx6qJbIzgdKCNrX9nXNwCgsdOqzvZU1XftRcGyOajatUbTzb017L+89jG9D2eRG6LHKZXy0G2T2FJPXWlohZGZr39Km/wiJMDa9FQ2tG8NEgnlgVrGvPAA++NjPOaV6qwwUrl2C6a/t+AoKEYWFkJoz4HoO3X3aQa1PjRDLiF22XyedLlwQrOEKlTb/ChDw1CGhqHr0LnGfYLDgcNcidNswmWx4LJZcdlsCA47gtOJIJyV+ZSARCKtFnrS6n8lMhkSuQKJTI5ULq/OgMoVZ7bL5Uhk8jP7NmFog+ByITirM7Quuw3Bbsdls1XHaq3CZa3CWWXBZbHgtJhwms3YnMbq5jjDIZwVleB0njmgVFrtZRsWjDw8FHl4CPKocOSR4Siiwjw6fvps6rMRE+3F3I8yLprQR+5HPn852T8to3zzUdo+edlFO0zAL8XqubhcrhqZU38h/BsDCS9UIDkrNy0RQJXtrC4HaAZ/L7fwxD0lpHVQMPTtEQQEe1eMVxntzH5sE8c3F9H6oUuIGtP5wg9qBvYKM4denkvFrpOETBmHephnPE3NO/ZR+tWvSJQKEm6aRkCS55pc7OVlFP01D+PeHajjEmk39l4Co1Jq7HN2lvJUk5M2MrlZ/qhQd8OUu4YFnH0cU9FxQII6pvZM9/oGADR2MMDZ3qxl61fiKColfNr1bn1/jNyymz6HswCIK6uuebcoa68ghJVW8Osbn9KqsKSGw8fbX/xMv7eePX17f4L7B2MILhfWA5kYV27AsmMfEqkUTfeORF9yDQHJrZskmryFpv9QotO7MOmTt5g66SaPnksil6PQB6PQB3v0PM1BIpUikSpBoUSmabyQFAQBp9mEw1iBw1CBo6Ice0Up9vIyrPmFWHYfwGU8M8RCqg9EER2BIjaq+r+4KBTx0cgC3ZsAqc9GTLQX8wwSuYyg8SNRd2xHxdc/sPPub0mZNoLIURkXXQmJ34nVp556ijFjxpCYmIjRaOSnn35i5cqVLF682Neh1SBtbD7avfZa27Mf0VN4f/NGPv7xSyUvP1XGgOEaer04EoXau6n9ilwzv9y7DmNhFe1enkhwV882c5mOFnLg+dk4q2weq08V7A7Kf1uAcelaNF06EDfqWmQBnslUu+x2StetoHTNMqRqNckDryWsdTckEmmtJfWzs5SdJj5LZLt+Tc6Ank1dDVONcQdo6LGPrf4ZVVQMMs0ZH9hTmVNNQjIWqDUAoLGDAU5ltu3lpRz76L/oRvRH2QRD/vqILyrhi49/qLFtXo+O7E0+I8AVdjsLXvgfbf/JpJ6NACzp6jmnEpfZQuXarVSuWI+joBhFbBSRo8aj79S9SULHm7QuyKXP0SP82HcQ+cEh9H3yJV+HBDQ+u+9vSCQS5NpA5NpAiK57oELm2//BYShHGqAlpGs/bMWFVB3JovLvzeCozsrKQvQoEuNQJsaiTI5HmRSPPKTp/Qj12YiJ9mKeRdUqgfBnHsY291cy31pIxbYsWt0/Crn24pl+5XditbCwkBtuuIG8vDyCgoLo1KkTixcvZuTIkb4ODQDdcjOtby9Beo4jlUMH++ZH4khq+ptDEAS+fN/Ax28ZuGqqlrYPj0Qq8+7VUe7uUmbevwFlgJz279xAQGLjDLobS/Hqgxx5YwGa+BDCHr7bI1OIHEUlFH/yE7aTeUSOvoLg3p5xFQCoPLSPwoWzsVeUE9VhILFdRiJTnHEWOHep35MZ0ObQkPpZQXBRnn8QfeceNbafypxagNYP1e6gb0pZhSAI5K38HalWQ9A4930XKG121j75eo1tFQFq7r176unbE1dv4o1vZ9WOCVjSuT133zMVpwc66+35RRiXrcW0diuCw0FAtwxixk5Gk5jil1mTugTgvE/eQiII/NGpG5WagOqaTj/AXWN//ZmwgSPqFOSC04mtpAhrQR7WghzM5dlUrtxwOhMrC9GjTElE1Tqx2nUhOb66Oa0B1GcjJtqLeR6pWoV64lTCknZQ9sMsdt37HWnPjkfb2v/KgpqC34nVL7/80tchnJc2N5fUyqwUTg0g++XmiTqnU+C/z5Ux64dqD9VUH3ioHliaw9yntxDVLpjYZ6agCPZc1kZwCZz8YS3ZP6yr9k+ddB1Slfsbt8xb91Dy9a/IAgNIuvV+1LEJbj8HgL2ijMKFs6k8sAdFeCQKlRaVLqyGUIXaQtSTGdCmcEqkOu1WnDbzaVFdl3g1FR7HaTISmFYzq+iukapnU3lgN5Yd+wi/eypSjXuyBTKnk0N3P1tjmwB0eu+F07c/+PgHLtuyu9ZjF3ZJ5557rsPl5qYWQRCwHjqGcfFqLDv3I9VpCe09mOAe/ZDrm7di42nOFYC3rlmG9J/+3eXvvcxzl09iUUYX3wb5D554j/ob9V0USmQyVJHRqCKjoWNXoPp95zCUU5Vzkqqc45iKj1Pxx18INjvI5ahSElClpqBu1wpl6ySPfFeLuAdt7y4ok+MxfPktux/4gZR7RxA1upOvw2o2fidW/R1LWxkBh6uXUFxKOPRTBOae6gs86vxUVbl49v5SVi+1MPb5rnS5MtkNkTYcQRDY9N0Rlr2zh/aj4gi6b5JHvducFhuHX59P6brDBF05moCxQ9wuzAWHg/Jf/1n2796RuJGTkakbP7L0gudxOinbuIbiFYuQqtS0GjyV7C3zsVkMdS7j+1KINoRTmV+ZMgCZMgCn3XpaqJ5bmlCatRNZoL7W8AR3jVQ9hbPKQsHi31F3bo+me4bbmjU2P/hirQvP7m89U6Mpamnn9lz+j1gVALNKyYBXHqc02L3enoLLhWXbHgyLVmM7dhJFbBRR4yai79gdqQeaDD3B2QJQ6nLx2LL5p+/TW63sia1d1+wr3P0ebelIJBIUQSEogkLQdehEBNXfbdaCXCwnjmEsPELlqo0Y5i8HuQxV6yTU7dugTk9FmRzn1/XS/0YUUeGEPnY/1j9mkvn2Iir355IybUSL9mRtuZF7A0Eg5NdKyiae+WE6ODuSLp3yqBii4ujXzU+vGytcPHRbMft22bjy7T60HeJdv7SzO/7jJvch+KaBHh2dWpVfwYHnf6cqv5zwe28koEv9/rlNxVFcRvEnP2I7kUvkmAkE9xrgkSx1Vc5J8ufNxJqfS2T7/sR1G4NMqcZhs/h8Gb+pnJ35PVugnpsRdrmclBzfjr5jN4//UOVvmIfLUkXodeORSCRuada4cu1WQv7x6TzFyxMuYc4rHzLyxUeo+idzNKdvN/7z01zkTicP3jqRJT3cm6EQHA5M67dhWLgKR0ExqrRWxF13O9o27fxyqf98nC0A71m+sMZ9hQGBZIeG+yIskSYikclQxyagjk0ghEEIgoCtMB9z1hGMeQcxLF5FxZwlSAMDUKenounUDnVGmkeGdFxseMMdQaJQoL76OkKj2lL44xxMWcW0e248yrCWOUTDL31Wm4vBYCAoKKhZPqu61Wba3FACAmS9HULZVYFn7hQEt1jSFOY7uPeGYooLnIx/bwDxnT1bH3ouNrOD2Y9v4ui6QlrdP8rjHf+G3Sc58J85yAJUhNx9s1ubZE5h2X2Aks9/QaJWETfhBjTx7m8Oc9msFK9YRNmG1agiY2jV8xq0EZ41fPcF56tbLcvaReaKb0m661HU0e7vfD+FOesIJ7/5iJAp49ENr47BHV/0UcWlaKtsrHj+HQAcEsnp0ajfDO3N81OvPL2vwuHA7uaaVJfNjmnNZgyLVuIsrUDTLZ2IbiM88n71NkGmSja+8VyNbX0e+w/l2sB6HiHSEhGcTizZxzEdOYDx+D7sJ3JBIkHVNhlN13QCuqUjD784bZSaS87jr+IsKUcWFkzc6095/HzWYycp++QbBJdAu+lX+tUQgYb6rIpi9VxcAu1G5xNw8EwHlUsOOzLdW+uYlWln2vVFCAKM/3AI4a08OxHqXIyFFmbet56ykybaPDOB4B4pF35QMyhYtIuj7y1Blx6H7pab3W6ZIrhcVMxdimHeMtSd2hE/+jqPdPubjh6iYO5MHJUGYjtfQlTGYKRS77o1uHN4QFPZt+pTXDYrSbc94LFzuGw2jn3xBrIgHZGP3+n2DK6qysqGx14h1FxVY7tVJiP105c94pHqstqql1MXrcJlqCSgdxciu42srh/0Mp7qiP/94zfpUJB7+nZ+oJ4hj77gtuOL+CcOQwWVh/ZRcXw3VfsPg8OJIimOgB4dCejRCUWkd5Mx/owvfGedFUYqPv8Kc2YhbR4dQ/iQ9l4574Vo0UMBfEXwr0ZSHi2vVccGuC2bCtVm//ffVEx4hJQxH4xAH+X+WsrzUXTEwC/T1iG4BNq/NRVtK891CwpOF1lfrCRv1haiLu2MctwkJG6esuE0mij57Geq9h8hfNgYQgcMd7uwcVZZKFoyj4ptG9AktSZt+J2o9e5Z1qxPfNa3va76UU8I2PqOaSnLx3z0EDFXXueW89RH8bL5OMsqiHjgZrf8PcPKDHz3v6+48f4b+fTjn+h+9EStz3qVXMZt997gdqHqstmpXLUBw4KVuCrNaPt2I7LbSJRhEW49T2MEqCc64uVOZw2hCjDygWeaHKNIy0GuDyK4R1+Ce/TFZa2i8vB+KrJ2YJi3jIpZi1CmxBPQuwvaXl2QBbXMpWh34Qt3BFmQjpAH7kHz608cemUeVbnlxF3bp8WUG4liFZBUuUi9srBO39Ti8RpO/C/MbT9e61ZZeOzOarP/Ye+MRBPk3a7KrE1FzHp4I0GxASQ8PwVVuOe+NBwmK4dfm0fZ5mOETBmH0gNG/9ZjJyn+6HsEm4P46+9E2yrVrccHMB05QP7cmTirLCT2vYqItD5IJDXF04XE4vnur29yVX3b67K2cuf0qwsd82TWKuQ6fa3JQe7EnHWEsk1/EzzxUhTRzRd0MqeTbY++DMCWx16r0yt1Wcc0bn3wlmafq8ZxHQ4qV2/GMH85TkNltUjtfgnKUM9kmRojQJvSEX8hofnFd5/UuL0ktQP2cxrE/g22Uf92pCo1+oyu6DO64hplpfLQPsozt1H+60LKf5mPOiMVbb/uBHTt4JEphSJ1I1EoUF97A0GByzjxzV9U5ZfT6v5RLWJM679erKq3V9H+itpG3w6thP1/RmJv5T4xuXCOiecfKaXfYDV9Xh6JQuPdl3/P/JP8+dxWknpGEPH4tR41DK7Kr+DAc7OwFhqIuP9mNB3T3Hp8QRAwrd5E6U9/oEyMJX78zSiCgt16DmdVFUVL/qBi20YkcjkxnUbUKwQvJBbPd399vqr1ba/LUeB83qyFB9aRs7W64SWu+5gGi9m6jmmrLMOwaysRIy5F4gFvUQCXtYrcP2egapOMbkT/5h9QENh3lkXV2Z91AdiRksC1j9yGRdM8V48ap3S5MG3YTsUff+EsKSegdxeieo52eyb1XBojQJvSEX8hoSkTXDgkEmSCgAA8MvGmZsUo0vKRKlWnhatzpAnjvp2U7d9Eyac/URagIaBvVwIH9UIZ7z91lBczEomEoHEjkIeHUvTNr9hKTKQ9Ow6Zxr/tyP71Natx/ykl6sszY+kEoHSshuMfu7dz9aevjLw1vZzLrwkg/cmRSOXes/oQBIH1Xx1i5Xv76DQukYC7rvHolZRxXw4HXpiNVK0gdNqtKGKj3Hp8wW6n9Mc/MK3ZTOCQPsQMuBKpm4WT+dhh8ubMwFFp/GcGt4BSG0Knic/WuX9zMqvupK7znJqIBZz3OTSE4+tnUXJ8B60f/D+kKs9c7GQv+xnzpp3ETH8QeUQzM5CCwLHbnuTcT5sAbGuVyJRHbqVK7UaRKghYdu6nYtYi7LkFaLqlE9XnUp/UpHqChi7ht8nPIS8oBJOfT9gS8R224kIqtm+kfPdmXIZKlG2S0A3tS0D3jg0eQiDSPCx7D1Hy8XcEJIXT/qWrUei9W5IIYoNVoxqsuqacROIClwx27ohB0LvvgyIIAh+9UcFXHxrpc1Nbhj6Y7tUaEZfDxeLXdrH912PET+1HwvX9PXr+ohX7OPLmQgLTYtDfdjMynXs7gB2l5RR/9AO2k3lEX3o1QV17ufX4LruN4mULKNuwGk1SaxxFRdjNBpBISOxzZZOEZkOFqjsE7SlhqtSGnM6MaiOTMeQcBM6fWT37/ECtWKyVZeye9SrhQy8hbOCIJsV3ISoP7CFnxleE3nAlgYN7N+tY0UWlrH/yv7WE6u74GK5+6i63ilQA6+Esyn5bgO3IcVTtWhM14LKLoru/IUhcLkKMRkqDPDe44GKsdb0Yn1NjERwOKg/upWTPWqz7jyDVBxI4uDe6IX2QBXu38fjfiC0rm+L3vkARHED6axO9bm0lNljVgcTiot3YAszpCo5/cCZzmv20HqlJoODBYLeez+kUePWZMmb/bGLYwxn0ubGtW49/IewWB3Oe3MyRNQW0fmg0UWM8N8VCEASyf1zHye/WEjEiHfXVU9x+dVx18CjFn/yIRC4j6eb7UMe516GhKi+HvN9/wF5aQnzPcUSlD6To4IZmC8iG1pPWt19jRGxdPqkUQtfrXmxUnECtWI4fXoJMrSGk18CGPO1G4zAayJv/C5rO7dEOat5FSLusbBa/+H6t7Z3feZZyvXu/jO35RZTPWohl214UCbHET70TbRv3lr34MxKXizVvPc+szr1YkNGFUm0gRUHuH5t8Mda6evo5NUQMX2gfTwtqiVyOLr0zuvTOWIsKKN/0NxVL1mBYsBJt7y7oLhmEMv7iWJnwR5TJ8UQ8dg8l737Gnkd+psN/J6GO8r9pef8asRryk5GUp8oBUB91cPxdB/yzdFx0u/v/MNYqgf97sISVSyxc9mI3Oo3zbobFXGbl1/vXU3jIQLvpVxHSq5XHzuWyOch8dzFFS/cSdMVI1JcNd2v2VhAEKlesp2zGPFRtkokfdxPyC3g2NuYLVnC5KFu/kqJlC1FFRNHh8gfRhFTXTzV14tTZAvN89aRnU99+jWmeOjfexgwnOPf8Z/+/pSwPw87NRF4y3iPL/4IgkLP4J5BICL3p6ma9f6ROJ4vOEapOoOebT7tVqDqNJirmLaVy5QZkQXqiJ0zxypAEf+OeVUsIN5m4c90K7ly3gqyQMEaf4wDgDi7GWldPP6eGiOEL7ePNiwRVRBRRl15F+LCxVGzbQOmW1ZjWbUXdqR1BY4eiapvs0fP/W1HERBL+2D2UvPspex75mYw3JqOOCfZ1WDW46MsAdEpIH5iHssBVYx9TupyDCzxT0G2qdPHI7cXs3Gpl3Ot9SPXyVKrybBMz7llHlcFGmxcnEZjqufPbDRYOTp+N8UAeoTdPRNu7ywUf0xiPOcHuoPTHOZjWbCa490AiR41D0oB57JnvvIijogx5UAitH/q/+uOvKCd/9k+YszKJyhhMXLcxSGXyZi/Jn70c35ga0brO6w++qvvXfI6tpIiUaU94pLGqdP0qihb/QcSDN6Pp2K7Jx2mTncfS59+t1TCZ8b/nMLrJ21dwODAuW0fFvGWAQFj/EYT0HtRixqK6k2BTJRvOGQDQ97HplGn/3dZEjcWd2cuzjwX4fWb1fAhOJ4bd2yjZtAx7biGqtFYEjRuBul1rr8bxb8FRVkHpOx/jsjrIeHMy6lj3r5DUOqdYBgD6+WY6P1FWu9M/AA7/4Blv0bJSJ/ffWMTxYw4mfjyQxO7eHTGYv7+cX6atQ6mV0+6dGz36ZrPklLH//37DYawi8tE7ULVJbtDjGjou01lhpOjD77AdzyX6imsJ6tKzwbE1JGNh3L+b/Lm/IJUrSL3kTvSxZ8o0mmsFdaFs6rkC9NRtp92K02Y+vRR/ap/mNEU1l/KT+zEdOUDsxJs8IlSr8rIpWvYnupEDmiVUO2Ye589XPqq1vcP/nsPkBqEqCAKWHfsonzkfR3EZgYN6EdVz7AWz/BczX37/aY3beTq9KFSbwKnsZcGCWQDNEoVnZ0JbP/R/FzzWhVwhmuIa4S4kMhlBXXqi79SdyoN7KNrwF4VvfFYtWieMQt3Ws8Ns/m3IQ4IIfegeSt/5iD2PzSDjrSmoo/2jJOCizqxWAGfrdAEouCmA3Ome8TjMz3UwbWoRhgoXEz4cTFS7YI+cpz6ObShk1sMbCUvWEffcFJQh7p/gdArD3hwOPP87cr2akGm3N2o6SUMyq9asbIo/+BYEiLv6Zrc2qrjsNoqWzKN881oC23WkTddrkKtrvlaezGYWHljHiQ2/g3DGYeBUJlamDECmUNWoOT27Wcrb2dWCfX9zctMckEiIHDOBkJ5usJI6C5fVyrGv3kKiVBL9zLSm1TkLAqueeI3kkvIam+1SKV3efpZKXfM/B7acfMpnzKNq3xHUHdoSPWTCeTv8/w2NM23yc/nzkzdrbMt49nUcHrI0u5gp37yuWqgKwgVXgxpyrIv1vScIAqaDeylcuwj7yVzUHdMIvmo0ygTPjXz+N+Ioq6D07Y8QBMh461qP+7H/690AzharTiXs3hKDK8gzX6SnxqdKJDD+o2GEJnk327J3YTbznt1Ccu9IIh6/1qOeacWrD3L4v3+iS4tBd/utyALda09j2riD0q9/RREfQ8KEW5Dr3XdlZy0qIPfX77CXFpHQczwRaX2RSCReXWo/bSUlkRCS3AVTYRbayGRMhVn1Lv83V7g25vmdvW/O1vk4bdXjSJv7I3ougiCQveRHLNv2EP3c/U02/z966xOcWxhSqVKS/tGFm8ouhMtkpvyPpVSuWI88PISo4VegTe1wwZrahpahNAZ/EyHbX34Cjf3MIJV7o+P41GL2m/haGv729/VnBJcL475dFK1ZgKOwBG3frgRNuAR5aLCvQ7tocBSXUfzmh8gClGS8eS2KIM/Y0IllAGeRe18g+Y8Ee2TWN8D+3Tbuu7GIkFApl344Ap2Xx6du+vEIS1/fTcfLE9DePdFjHqqCIJA7azPHP1tJ+ND2aCZNdWvHv+ByUTFnCYb5Kwjo2424YZPcWgdYsX0TBQt+RxEUQvtLHyQg9EwtrycmQNVHfR375y7119cs1ZRYG/OYU/vm7fwLp8MGcjlShdLtTSCGHZsxr99G2G2TmiZUBYEjtz9ZS6iWajV0fe+FZsUmuFyY1m6h/LdFCHY74cPGENJncIP9fD3ROOOLbvj6BFRqfm4NoSoAn1rMF123vjfx5XL7+fBHES2RStFndEHXviPl2zZQvHoR5i270Y0ejH70YKQq/za4bwnIw0MIe/BOil7/iP3PziL99Uk+HRxwUYtVW6iEXfOjcMR6rvFh+yYrD9xSRHIrBSPfG0FAsOemQp2LIAis/N9e1n99mNhrehF422CPeagKThfHPllO/h/b0I8dimbCKLd2PbuqrJR88QuWHfsIH3EZof2Huu25uGxWCub/jmHnZvRdetE64wpkipp/p4Z27LuDC3Xs15UFbU6XPzTu+Z3aV9AokStkpNzzuNsdAKyF+RQsnIV2QA+0fbs1+vGJeUWsevbNWh6qPwzozjM3T2xebFnZlP0wB9uxkwT06UpMv3GNzu57Qni4QwA3VnjUJ5B/+qqm28Lj4ycT5nBcdN36Ig2/SPKFqJXIZIT07I++Y3dK1yyldMEKTH9vIWTy5Wi6edfT/GJEER1B+AO3UfjGxxx8aS7tpk/w2WjWi7oMoKFDAZrK38stPH5XCZ26Kxn05khUWu91A7scLhb8Zzu7/jhB8p1Dib2q4c1HjcVZZefwq/Mo3ZhJyHVXXLCDv7E4Ssspeu8bHIUlxF55PYFp6W47trWogNyZ32AvLyOpz1WEt+nhtmNfiPqW3h1WMzZTOSVHtlCSuY3I9v2J6TwciaT6vdpUJwF3UnJkC8fW/EzclNsITO3g1mO7rFaOffM2EqmMqGemNToLkphXyJpn36q1/Y47JrO4d9cmx+WsNFMxezGVqzaiiIsmeuRVBCR5zvLNFzS2PKE+ATLno9dJKCtFbbdjl8no8n+vezJsER/SUBHqidKXxmIrKSJv1Wyqdh1A3TGN0OvGN38KnghV+w5T9O5XRIxMp/VDo916ESDWrHpYrC6ea+b/Hiph4HANvV4ciVzlvasNu8XBnCc2k7m2gNaPjCViuPvEXa1zVZjZ/9zvmI8WEXbndWg6t3fr8a1HT1L0/jdIFAoSJt6KKsp9hfKGXVvJn/criuAQ2g64AU3whY2l3Vm7ekp0KjR6ojIGY8zPxFx8ErvFWGtfuTqQ0FbdiOk8nLKsXReMwR1x1ncMu9nA7rlvoG2dRuzV1zfp2PUhCALZi77HsmNfk+pU6zL7d0okdHv7mSZ7qAqCgGntVsp/XYDgdBAxeAzBPfs3yCLNlzQlk+Xu7NfIPdv5u217LCr3TgMTaRj+tETvL7EIgkDlwb0ULPkdV6WJoPEj0Y0c4PefZ3+nct1WSr+cSeItg4if7L6ElViz6kF+/6mSV54uY+yEADo+MxKp3Hsm4BaDjV/v30DB/nLSpl9FSE/PZX6q8srZ9/SvOE1WIh6/C1VyvFuPb9q8k9IvZ6JIjCVhwq3IA5vecXj2F6W+ay+KFv9B+ea16Dt1p3Wnq2ot+9eHu2pXLeX5qIMisZkrsFsM5GxbSGBkMrER3QnURqFWB1NSepjcvM1EhKcjk8rJObKZsqydpI2557Sd1a6ZL9UpSJsSZ+GBdeRsXQhUj12t6xiCIJC5cxYSiZTIMROa/Pzro3zT35g37iDszilNEKo5tcz+XUCrL15rcjz23AJKv5+N9dAxAnp3IWbAFch1LWPEY1NqWBtanlCf8JC4XEiddpz/fJ7+ymh6Jluk+fjTVC9/qbmVSCTo2mWgTWlL8YqFlP22EPOWXYTefA3KOHESVlMJ7NcdR2EJJ75ahiY+lLABqV49vyhWG8l3nxj436sVTLopkFYPjEAi9V5NTGVRFT/fvZbKQgvt/nstuvaes+uoPJTH/mdnIdOqiHjy3kYvpZzPnkoQBAzzV1AxezEBvbsQN+LaZjdSnf7SXv0XFTs2Yc3PIbHvVae7/c+lvqxic2pXXQ47pce2U3RwPaaiE8iUGmKjuxERnk5wcAoyac3nGKRPpFXymfq+hPh+bNn3NUdX/UD7yx44ryBtSpz5u5bjtJlP/39dxyjN3ErlgT3ETrzwlLDGYjmZReGSuQQO74+2V+dGPbZNdh6LX3yvxjYB6PZ208okXFYbhj+XY1i8Cnl4KPE33IW2VfWXr79kiC6EJ6cf1SWCgswmVr79H5ampZOvD2Zep24cinHvBezFjCfeVxfjVC93IVWpiBx9Bbr0LuQu+Jn8/7xH8IRL0I0a+K+bMucugsaNQFGezeHX56OOC0Gb0jQHl6YgitUGIggCH79p4MsPDPS/PY1W09p7tXi77GQlP9+5FqfdRdqb1xOQ5LlhA2VbjnHwP3MISA4n6K7bkOkaL1rqM/4XHA5Kv/0d07qthA25hLDBo9zyOoYNGE7xykU4q6pAIiFtzL0ERiTWu//ZQvDU7VPCtbFL73m7V5C3cykIAi6HFX1cGhkdriU8rB1SacM/YipVEO2TL2fHrq+oLDxWp5g8O4bG1rNWW1EtPP3/5z5Xa2UZxzfNRt+pO7oOnRp17AvhqDSS8/s3KFPiCZk4tlGPff/D7xm3bU+NbS4g/b3nMGsb76Fq2XOQ0u/n4Cw3EDZwJKEDhtfo8venbJWvOCWCNAnJZL7zImEDhrPlr3loHHYu37sDAJ21ihfGNa+Z7d+EJ95X/pLN9Gc0Ccmk3PIoxcurs6yWXQcIu22SaHPVBCRSKZprp2LJeZ8DL8ym8wc3INd5pwRIFKsNwOUSeHN6Ob98U8mwh9Lpc5N3098FByuYcfdaVIEKWr12Peooz02UKFy6l8y3FhLcIwXtjTc12QJEP3bo6czqKVwmM0Uffo818zgxV16HvlN3t8QsCAIuuw2n2UxAcmva9pmKQn1+gV2XfVRdGcy6vE5P7Wc3G8jfs4KCvasBkMmUpCQNIzd/G/YAU51CNSd3I1knVhOsT6TccILkxEHExfY+fX9IcApShYrKgiximrD8f75a1vMJccHl4sjmn5Gq1ESOufK8r11jEZxOsud9i+B0EX7X1IZPwRIEMm97staXlFUuI/XTVxodh9NQSdmMeZg37kDVrjWJk+9AGV57kl1LyVa5Q/zUl+07JYJONc0YVi0h0Gat8dgXx7r3fXKx01LeVxcjUoWCyEvGEZjagdy5P5L//LuE3nINAV091+9xsSJVKQm+42YKX/4fh1//k3bTr/LKCrMoVi+AwyHw0pOl/PmbmdHPdqHbNd4d73Zyewkz71tPSLyWhOlTUQR7xphXEARyf93E8S9WETm6I6orr21WQbpuSJ8aGVVHUSmF//sKl8FEwvV3N6rL+nzLZy6bjfy5v2Dcs52ojCHEdx+LRFoz7uZYQeVsXYjTZiZn68LTdZ6R7QdwcvM8Cvf/jVQmJzQkFZM5n+TEIWSdWI3VWk7WidU1ROgpTt1fUFQBCLX2k0ikKDQ6HFZTnbFfaPm/LjHbkGas/D0rsWQdJeHGu5Bp3OsTXLRkLtYjWUQ+egfykAbWg9YjVNemtWLK43c26vzVDVRbKP9lPkglRF9xLfrOPerN6Ptbtqq+9/+54qcpy8wXErynzvF2RVmN7U+Om4hTnFTVKPztffVvJCClDSm3P0rOXzMo/uA7dKMGEnzVGCQ+smNqqcgjQgm59VqK3v2anJkb3dpwVe85PX6GFozdJvDsgyWsWGRh3Cs9SB+b4NXzZ/6dz6xHNhGbEUL0M9ch13rGw1VwCWR9toK837egv2wYqivcszR/ilMd/1K1iqSb768zm3U+6vtBtZeXkjPja2wlRbQacj2hKV3qfPyFspHnyzieTXibnjhtFvJ2/YXgEkiKG0hCQn8U8priLuvEapITB9V5jOTEQbUyq+fistuwlOeza+ZLOO1WnDbz6dgvFGtdYvZCz7+y6AQ52xcSOmAoASltL/g6NIaKnVso27iGkCnjUac27EIvvqCEv59+nXPfgXO7Z3DfPY1zJ7AXllD67SysBzKrPVMHTnB7La47OJ/QrO/9f674aUqm9ULZvuCe/fht/y4GnCVWXcCcrrUvxERaPi2lXrs5yAK0JIy7hbLI1RQtnYft2EnC756KLMhzI0UvRjQd26G/dCgnvlmJvmM8+nTP1q+LYrUeqqpcPH5XCZvWVjHhrd6kDvXu7OF9i7KZ+8wWWg+IIuzRKUiVnvlTuexOjry1kOIV+wi5bjy6Ye79gjLv2EfJpz+hSIgh4crbzisUGppBAjBnZZI78xukShXtx95HQGj9f5/mNE3p49Ioy9qBOiiSPb//F7u5grjY3iQnDkGprP1c4mJ7Exfbm5zcjazd8EatZf5T98OZkoBT2wFOnFyL3WLAmV+Fy2FDpgw4PWIVLpwlrUvMnu/5O2wWMv/+HnVMPOFDxzT69TkfVbknKfhzJtr+3Qkc1rdBj0nMK2LNs2/W2v5j/x48fcs1DT634HRi/OtvKuYsQRqkI37qHWjbtGvw473N+YRmQ5ePm7LMfKFsn8ZaxYCjh2psG/Lgsx6bBijiW/4t9doSiYTQvoPRxCWSM+sb8v/zHuH33oAqxbsJqZZO0PiRCFmHOPTqn3T55CbkgfXXr+b/uZ2cGRuJm9yb6Msa7yIi+qzWgdnk4qFbi9m93caV7/YjpW/jMoHNZftvx1j40g4yLk0g8B7PjU91WmwcfPEPKnYcJ+y2awno6d6mGuPydZT9NBdNt3TiR09Fqqi7/vWUSHVZrbiqzBc0lS7fso6CBb8TkNiKtn2vv2B9anPYOWM6dosBgOCEdNpFjyIgoGZz2ynRebYwXbvhDazWclSqYPr3eazOY5+7T07uRg4engcISBVq5EpNLVF6yrsViYSQ5C6YCrOa7LUqCAIHN32POfMgSXc9gjLEfebZjkojWV++jSxYT9QTdyJpgNvDwO17+OGD72seRyph5PMPcDQ+pp5H1cZ2Mo/Sr3/FdiKXkN4DCR82BqnSe5PlmoK/ZrQ2vPYswVXm07fXJ7Xm5pun+TAi79Ccv4e//i0bQkuOvak4jAZOzv4K+8lcQm+Z2Ginkn87juIyCqa/TUifNqQ+eVm9+22d+gnWQgOqSD3df7jrzONbqs/qq6++yu+//86BAwfQaDT069eP//73v6SlpXnl/MYKF/fdWMTRw3YmfjyAhG6e67qvi/VfH2LFu3vpPrkVyps8V7hsN1jY/+xvmI8XE/HArag7tHHbsQWXi4rfF2NYuJKQPoOIGDXuvFYhp67mpZoA5EEh9WaGBKeTwkVzKN+8luCe/WnVYTzFhzbWyBrW9f9nC7mGmuk77VZydyypNvCXSImL6UVaq8vr3PfsOtVTt6uX+am1zH+2sD1VEnBqn+rHV187xncfS2T7/rW8VqM7DePEht9BECjL2gGC0GhP2FOvgTYikcqsncROvMmtQtXlcJA952sEl4vwadcjUSjOa2UG8Ogv87hvyd81ttmBNp833ENVsDuomL8cw4IVKKIiSLz1fjTxSc19Om7nlCAI6TcEbXJrbMVFuGxV6Np3xHLyGKbMgyC4kMjkSDUaFEEhKCOi0SQkU7l/d43sqSeFhcZmrSFUAe6bfIvbz+OPnPpOKlgwC6BRr29Lzk76sq7WV0JZrtOTdO00cpbNoOTTn3AUl6IfM0Qc1dpA5OEhBE+ZQPEXvxDary3hg+rWanGTe5/OrDbpPM0J0hOsWrWKadOm0bNnTxwOB08//TSjRo1i3759aJtgU9MYykqcTLu+iLxsJ9d8OpjYjBCPnu9sBEFg1Qf7WPfFIeKn9EV54wCPfVisRUb2PT0Te7mZiEfda/YvOByUfP0b5o07iLhkPKF9B1/wMWcvX9b3JeW0mMn99TvMWUdI6ns1Ee2ql5XPtaCq6//PbaS6UANSRfZ+jq+fhd1ipFXyCBITBpzXgups0Xl2A1Va28trNVmdLWz793msxv2JCQM4fGQ+upg2RLbvX2e8p2LO37UcbWTy6cxqfdQlzk8d02YqI6T3QLfaVAmCQO6qX7FmnSTq8TuRh1Q7V9RnZQbQ4eiJWkJVANp8+d8Gn9d69CSlX/+KvaCIsAEjCBs4ouGuA17CXl6G+XgmhX/NRbDZKFo4m6J/7pMqVcj1QcgCtNVZYIkUl92CrawE475duCz/iEaZDJxOSv5eCkg8KopcEgn7I2PQV1mIMlbw9LiJVLq5+c5fCRswvFqoCkKjX1+x679p+FLkSxUK4i+ZSokqgpJZi3CWVRBy7fmTLO7iQhfyLYGAPl0RDmzn6PtLCOqUUGcjePRlXZu0/H8K//o2BxYtWlTj9jfffENkZCRbt25l0KC6m1bcQVGBk3uuK6S8zMXEL4cQ2dZz9lDnIrgElry2i62/HCXpjv9n77zDnKrSP/5Jm2R674UZht6LSFV6FcWCYgEsiL2yKtZddxUV2Z9lXSu2RQGRooL03obehl6m957JlEzq/f0REpJMMpPMZGBAvs/DM+TmnHPPvffknu95z/t+32HETr6xxc6lzi3n5Ku/AhD+ytNuZxFqCEZ1nUma6nwG0XdNI6BbL5fqNbaa15aVkLvoWwy1NXQY8zgB0ZeswGbtUIPOpG9KMfUsq9aEraEApIJjm6guzqQ87RABMR3o0+VhfLwbtzha+6EClq18R4oA1sTW3n3AS+YLCCT0v93m+hxdR4973qT4TAo1xZkN9s0ROQ/vPJi8Q6uRBgYTPtqxtbipqNi7g5qdBwh55B7kyZesmo6kzAC++ux/jD96yuaYEWj7jWvSVIJOh/L3jVSt34EsIYY2M2ehiLq8/uXOYNTrUWdeoPrcKWounEVXbqKmEj9/BCMExnchovNgFIERSOW+ThengiCgq61EVXCB/DNb0JYUIegNBPS8gaqTR1uMFGlkXtzxlGMXlmsd5vdRU0inK9bJv+J2e2O40iRfJBIRNnwc0oBAiv5chrG6ltAZ97T4orehhfzVApFIhPddU1Adm0fGF5vo8Pptnj9Ha/dZvXDhAu3bt+f48eN069bNYRmNRoNGc0kDUKVSER8f77LPamG+nifuK6FOLXDnN8MJTbx8UYFGvZHV/zzC8VXZJD8/lsgJLecvU32hiFOvLUUW6E3ws495VBTZUFlF8cffoy8tJ27KI/gkesatoDYzjbwlPyD18aPD0EdQBNYn12Y/Ti/fYIdC+dZ+ngkD7nSopZp/ZB1Ggx6RSEyHpAlERfZGJBI59Ec1Iy9/H2kZGwFIThpdL3DKmZaqGdY+q4P6v8S+U18jkcnpOO5Jh/fiyMK3MGhrkXj50PuBdxq9bvO1WVtWBaOB0zvmoykqoM0Ts5AFBAGemTxrzp8md9G3+I+9meC7Gxf+P/XE6/jqDDbH1DIpnb6a49L5NGlZlP2wFH1JOWFDxxIyaHiz83839z4YdTpqLpym6lQq1adSEQx6xAofQtv0JCCmA/5RyUgVzdshqi3PJ/3QMuryc4m56wH8u/ZqVnv2EBmN/LDgS5b0HsDanp7RQr4OW5j1axvzz28qrpPh5qHqVCr5y3/Cu1sHwp6cikjWcoT1WrCsmlGTcpiy75bQ+d27CL4x2aU6rvqstuqcY0ajkRdeeIHBgwc7Japg8nMNDAy0/IuPdz2iLzdbz6N3F2PQC0z+fuRlJaoGnZHfZh/gxOoc2r86sUWJqup4DidfWow8MoCQWU97lKjqikopfO8LjFXVtHnoGY8R1cqjB8hZ8BWKqFi6jH3WIVEFk/XROmLeDLO/p29Eoil6+aJ/pzUM2jpqSrPR19XgH5XMgD7PER3Vh/yC/ezeO4+0jI02/qjWyMzegV6vRq9X23wfG9OfwQNeRqnKdloXTFZWuTyIxISbKSs/R21pDlHdXVcscHbd1ojoNIge97xpIei5B1dTm5lGzN3TLUQVbLfgmgJNcSF5Kxag6N6RoLvGNVjWr6aGjBmz6xHVHV3auURUjVodFUvXUPT+l4gVChIf+5tp27+ZRBWadh8Eo5HazDQK/1hC2r//Qf6SH9EUFVhcR6QSOW0GTSY4sUeziSqAT0gMXUY+jX/XnuQvX4g6J7PZbVrji8XfMSAzjfdXLgG93qNtX8tQHkgh7eN3UB5IabRs6JCRiL19MGo0DZZ3p01rNPf3fC2hKffQv0sP4u59hLpT5yn5/CcEXcv9DvyHDSD2w9eueqIK4DOwN4G925D+300YNDqPtt2qyerTTz/NiRMn+OWXXxos99prr1FZWWn5l5OT41L7Wek6Zt5djFQq4s7vRhEc17I+sdbQ1RlY9sJeLmwvpOPfbyd8eJcWO1fF/jROvbYUvw5RBD/3FBJ/z12nNjOXove/QCSV0Oah55BHNn8LVhAESreuo/D3xQT27Eunmx5FKneeDMGekJlh3gKvKc4kYcCd9YhdVVE6J//4PyoyU+nU4Q76JN2PXG5a2Zl9SwELobRGXv4+DAYNYrEMqdTboV6qNRm1h9kqazBoEASB8/mb8ItMIiDGlB3NTLSLz1x6wcb2HY+XbzCxfcc3eN3OUJZ2iKKT2wkfcys+Se1sXuKhQ0Y2GNzWEPQ11eQu/RZpSDBhj93foJ9XRJmSE8/9q96LZ8mgvkz728xGz6VJz6bwX59StWkXYSMnkDj1OeQRUY3Wc3XCcuc+6KtUlO3YRMZn75Pz4+fUZpwnstNNdL3jFXrc8hKxN9zS6GKiqRCLJbTvcy+KmDgK//gFwWBovJIL8K1TM/z8aQAUBj2b/uN+prC/KtwhiEH9BiH2kmOsq22wfFNJZ3N+z5cTTSXj7qCp99C3fWdi752B5swFSr/8GUHvmd/YtQyRSITP5LvRllWTt2SfR9tudT6rZjzzzDP8+eef7Nixg7i4hgOA5HI5crl70jRp53Q8eX8xAYFibv1qNH7hlye/LYCmRsfS5/ZScKKCjv+aTFDfxBY7V+m205yfu5rgG9vi++BDLkkIuYq6Uxco+e//kMVGEn/XTJfF1hvaohL0egpX/ooq9SCxfScQ1X1EkwPNrP09rYOTBKOB/GMbKTi2Cb/wNvTt8jDe3iE2da19S51lotLr1Q1KU9n7slq7FJjrA6RnbkKvV9NpwjOUnN1DYeqWeskAwPXkBY5QU5pDZsqvBPS8geABJvJs/RJPfvGtpm176/Xk/v49Ro2WqJdmIvZ2/jsML6vgwCv1o/vX9ezMKzMazjEv6PRUrtyEau02vNrEkvjY31wiqWa4GrzRmL+hIAioM9OoOLCb6jPHEYkl+HftRdsBU/CLTEIkukTDrQParD97CmKxhKTed3J61ccU/rmM2vRzzd723fPh320+p7uZwMMaf7WtaHd9Ll0p31Q/zqslW9blCKpqji+sb3JHYu55mLxfvqfsuyWEzrz3sgRdXc2QRYXjP/pm8n/dScTY7h5LD9/qyKogCDz77LP89ttvbNu2jaQkz6c3PXdKy5MPlBAeKWHCF6PxDbl8Gox1Ki1LntlDyQUVHd+bQkC3lsv6ULT2GGmfrCd8RBcUU6Z6ZJvUjNqDxymdvxhFp2Tib3vYLR3Lks1rMNbVUrJ5jc0LyqBWk//rj6iz02k7dCohbZseOQiOyZ22Rkn69oVUF2eQlDCCNm2GIhbVvy/2RNMe9rJTrsBaCSAx4eaL/q4CRoyEtO2NX2QS6dsXoq2pqJcMoDnQ1qo4v+175JExRE68m8qDeyjbtRnv+ETU0GTriyAI5G1ajCYjl8iXH0MaFuK07CPrtvGPpWtt6wMj/vlCoxqq2qw8yr77FV1hCWHDxxEyeITbY9k7PpEqlRLv+ES36plh1OkoXLWEqhNHwWjEKyyC+H63EZp8A1K58wj5xrKHNRXWvsiKuDZUHT+MoNc1a9KfdGQ/XkZb69Fj09xLbWuNq1nCqSlwlyC6Uv5qIZ1NxeUIqmrqPbRebMXcNZX8pQsQ+/uaVAKuy1o1iIBbhqPeu5/s73fQ4TXPBPG2OrL69NNPs2jRIv744w/8/f0pLCwEIDAwEG8PyKacPq7lqQdKiE2QMO7zMXgHOhaqbwnUVmj45ckUlHk1dPzgPvw7ui507i7ylx8g8+utRE7shdekKR5dDVbv2E/5ghX43NiTuNH3ux8tKbL7C+gqleQu/Aa9qpIOYx7HP8o152x3oMw5TebORRiNRrykvnh5+Tokqq7AUSYqsxXWWVCWvbU2NqY/qQWrKM84Qlw/0w/aXq2guVY5o17HuZ3fAyJi730EsUxmIRFqcBjc4apFrGz7Bmr3HiH0sfuQt3OuZ/rFZz9wy9EzNsd0EjHtvn6vwUxIgsGAas1WKldtRhYTSZuZLzY50l+dkwmC4LZ/p6G2hor9u1Du342hthoAqcKP7hNfcWnCslarKD6T4jHCak2CQ9v3o7CooNnbvnP/sHW3GtD/JtI+ebfJltErHd1tD/tx7co4/ytYh6/kNbZmMm6/8xR5y10U/bkMaWgwAWNbTpnoWoBYIcf/tnGU/ricmLtuwK9D87lOqyOrX375JQDDhg2zOf7DDz/w0EMPNavt40c0PDO9hMRkGWP+MxpFwOUjqtVldSx+bDc1ZXV0/PABfNu2TFYsQRDIXZhCzoLdBIwfhtft4zy6ClSt3YZy2Vr8hg8k5qa7mkSCw0dMsJnENEUF5C6cDyIRncc/i3dQpMf6C6YAmPwj6ylI3URgXGfqSvLQaFQ2Iv7OtvudwTriv6jkONZSVY6SBFgTVDMqKtIpPbfX5E/rY9oqsbYGm6P9G7PKOUt0IAhGzh/+BU1JEQkPP031mRMuWVRdsYipUg9Rtm09gbePwbd/L6d9e3LVpnpEtdDfl/6f/N1JDRN0BcWUfbcEbVY+IYNHEDZ0TLMkZNwhTsoDKZTt2IhXaDjqvGxTRL9YRmB8F9TlBUT1cN01JaLToBaxrlovaqRyHwSdlsQn/o7E27lvd0OYt2yBzecqLy8OnTnRLMtoayMi9uPalXF+NVmHm0o6r6ZrvJywf2cE3TAInbKc8qVrkEaG4dOr5eJMrgX4Dr4B9dZtZH23g65zpzS7vVZHVltKSevoAQ3PPVRC+84yRn4yBrmf53w3G0NVkZqFj+1CW6Onw7xp+CR4LluQNQRBIOvb7eQv3U/gHWMJnOi5wA5BEKhcvg7V2m2E3jya0JubToKtJ7HazDTyFn+HLCiEjsMetZA2cD3bVENldXXVnFnzXzSVJYSFdqZ72/vJ9z5gIZrWmqjgOnG1Fv83bWiLLC4BJgJbSVBAgg1xtW5Tr6/jZPpv+EW2tSQ4sIcjTVhHcEaG8g+vp+rkMWLueRBFTDx5S35s0KJqRmPErjYzjYKVv+A7qC8BDYyxD7/7lSkph2yO6cSiBomqYDRStTmFyuVrkYQEkfDIsx7JQuUqcdKWl1lE+/VVlQTEdkKVdwajUUN1USa9H3jHUtbV8enqc3QH1osaVf45wORG44isNkZivDV13HriqM2xMc+9TujpE63KMtpc2I/rlvQZvRJoKun05DV62krb2qy+YSMmoK4tpuybxUjfeBqvWNf95v9qEInF+N4ygdIvfqIyNZvAHgnNaq/VkdWWwOF9dTz3UCldengx/OMxePlcvsuuLKhl0cxdGHRG2n84De/YlsmKJRgFMr7YROHKIwTdeysBo4d4sG0jFQv/oHrbXpezUrmCqtOpFCz7Ge+EJDoMehCpl62bhzsWKUdla0pzSdvyI9oaJQDKykxS9v0fiQk3M3jAy+zeOw9zelODQUNaxkaLDFVjZNW8pe8l86WqOp/I8O6WOkpVNiBYNFYd+baeLFqLvq6GjuOesAnKsYarAVWOyFDp+f0UpG4ibNRES4YqVyelhoidtrSYvF+/R94ukZAH73S6YPnvFz9z66HjtnXFYtrPf9/pefVlFZR9vxTNmTSCbhxC+KiJiL0uz+6HtryM8p0bqTx6EJFMhsTLm5heoyk6udNpHVfHZ3MC49yCk7VjYySmX1Y65d4+hFzMknU4JoEKvwDLODBHbF8JwuBJsmI/rq8ln1HlgRSMWo1J07eR37f9PfXkNXraSns5rL7ujDGRWEzc2AfILPqU0s9/IuqtZxF7X77g7KsN3n264tsugpyfUgic1zyyes2HtR1IqePZB0vp3tuLEZ9cXqJakVvDz4/sRDAKtPtwessRVYORtI/XUbjqCCHT7/QsUdUbKPt2CdXb9xF12xSPEVXloT3k//o//Dp1M0lTedX3R3ZFR9RZ2bK0w5xZ8xlSbz/aJo5CLg8CsNmeN0tLSaXe6PVqjEY9ICIooPEflVlLVaurwUxMzbCWrFIqM9FoKlEqMy3fFxYfo+zCQRIG3EFl3tl6ElXgWLrK2ff2ElaVeWfJTFlKYN8BhAy+lDEqqN+gJkf9A+irq8j+5RskQf6EPz3N4bZ8kKqKC4/OrkdU1/Tp6pSoCoJATcphCv7xMfqiUuKmP0HkhDs9RlQbksfRVVaQ9f1nZPxnDqqTx4jrN5FeU96m9wPvEtl1KFE9RiDx8kEkMe3EWD8Pd8anPRp7vu5AX1cDgETh4/BaG5Mx2tGuEyOefwPzntb0R56x+f5Kana2Zr3QyyG75CrKdm3GqK5FLJc3+vt29Z425fo8KZnlDgFvDtwdY2K5nLg7H8ZQWUX5/5a32G7wtQCRSIT32LGojmWjOpnXrLauacvqgZQ63ni2nN795dw0bwwyheei4RtDeVY1C2fuQiYXk/TeNOQRzjMzNAeCwcj5D1dTuv0MoY/ei++A5kXQ27St01H61SLUx88SM3maRzLlCIJA+a7NlG5eQ1C/wSR3ud2p36s7FqlLMkGbUWadQJV/ltDkvnSLvpXCosMAhAa3t1g74VKQlNn/1GDQYDTqbIinGY0FTQUFJLB777x6vqlmN4OikuN0ZQq1taWcOf8HIW17E9ruBo4vnePQOteY1c7Z97Xl+aRt+x++bTsQOeEuj/krG7UacpbPR9DpCH/5McQ+9RcX4WVKDr5Sn5Cu7tONp56e5rBdQ3UNFT/9Ru3B4/gM6E3M0MlIPJx/3pF1Rl9TTfnOzSgP7Ea4GAEvlXkT1dV2MWYeg478h5tjMfWkH6umuhyxXIFYoXB4rdapQ60/WyAWU6fw5o2Jd3M0rg16u0VIc7eJm2Mdbc3b8PYkx7qfl3vr2p375GrZplg1PW2lNaprkQYGt+h9bMoY8woNJ2riFAqWLUDRtQN+N/Vrsf5d7fDu1QXvhFDyluwl4F93Nbmda5qsvv5MGf0GKRj84Rik8stHVEszqlg0cxdyPylJ703DK7RlsmIZdQbOvb+Kij0XCHv8fnxu6OG5tjVaSv+7AM35DGKnPIxfh+Y7kwuCQMmGVVTs2UZMrzFEdx3j0eCvgtTN6GqUaGuUtGs7jvjYIYhEIovfqFKFQ01Ue9LqSI7Kme+pua45daq972tkeHeKSo4TGd4dg0HLsfOL8fINoM2gyYhEIqf+jI35OTr6XlNdwbkt85GFhBFz94MekyoTDAZyVy9Al19M5OwnkIbV3yGYsP8YX369qN7xH4YN5O1ptztsV33iLOXfL0XQ6YmePJ2Abr080l97WE9GRq2G8j3bqdi9FYDoHiORyOQUndzZoIXU036nnmxPpSnAKyIKkUjkdOJ1RDxeW7uCuw/t5cbX3kcvkbDiBse+080lIM3Zym2UaF9BWN9re+J6uQOW3HlGrpa90guFy3X+po7vgG69UBWeomLxShSd2iINb5lYlKsdIrEY7xHDKf9xGerccrzjnEscNtiOcA3asFUqFYGBgQwcKuemf49F6nX5iGpJmopFM3fhHeRF4nvT8QpumaxYRq2es+/+gfJQJqFPTPVoZKJRXUfJpz+izc4j7t4Z+CS1b3abgtFI0apfqTyyn4T+dxDRxXVXBVcCWbQ1lZz+8z/oapXExvSnY/vbLN85s4q6g8basBf812iUNgkDBEHgWO5ylNkn6TzxebyDPeuYr6+r4dTGzxH0OhJmPIfU3zOWfEEQyN++lOod+wl/7kG8u3eqV+atRSt5dPNu23rA4PdeIi+yfopco1aHctkaqjenoOjSnphx99mkfjXDk/6KgsFA5dH9lG5dh1FdS0SnwUT1GIlM4Voii9YKQRA4tuJd/Lv2JGLsJKfl7O+ll05L6pxXAVjZtRfL+wxgX3KHZvfH0TNr7nNM+/gd9JUVSAODGwwMdKUvLQXrc4FnLat/BfmsqxVGTR3p8+chDQ0m4qWZ1xMGOIGg01H46nuEDu1E26dH2Xynr9Gw/45PqaysJCDA+bx1TVtWb3x7xGUlqsXnVSyauRO/cAVt3p2OLKhpMjKNwaDRcfafv6NKzSHs6Qfx7t7RY20ba2op/uR7dAUlxE99oski6tYQ9HryVyyk+vRxkm6+n9Dkvm7Vb2zLtLY8n/MbvwXgxr7P4udnSwTtJaOCQ3xRKGTU1emoKK9xqQ+NJQmw/97eQpuds5PyjCO0HTbd40TVoNdyZuf3GGqrSXjkWY8RVYDynZuo3raXkIcmOySq73/7C/fvOWJzTCWTMmje61Q5SOurzc6n9JvFGErLiRh3O0E3DnH6gvdUcEXNhTMUr1+JtqQQ/+59SOw4Hrm/66v7tG0/U5F5lODEXiQPm9qkPrijbOEO6iqL0auUjS4o7a1H6z+75K5x68mj1Hl5eYSsOnNDaE6gVlMtbJdTkslR8JancK1IS12LpFssVxA94V5yF3xJzc4D+A1tmjEEoGrbXlRrthIwYTj+wwZ4sJdXHiKZDO8hAyjZuIs2D9+ExMf9REzXNFm9rET1XCULH9tFQIQ3Ce9OQxbYQkS1TseZf6yg6lQeYc8+jKJLO8+1XV1D8f99i6FMScK0J1HExLtV39HLyKjTkr/kR2ozzpM8/EGC23Rzu18NbZmq8s9xYcuPyP1D6dNhGnK5Y6LWpWsso0Z3o3v3ePz8pOgNGsRiCSUlJRw6eIIf//c9hfmKBgmpqxZa83dmlwC5VwBpGRuI6jGSkKSe7lx6ozAaDZzbuwBNUT7xDz6JVzPSY9qj8sh+SresJXDSaIc+WTtefo825ZU2x7Z3acf0v82sV1YwGqnasBPlivXIYiJoM3NWo+lSm7sNqCkpomTDSmrOn8Y7oS2db30B3zD3xjRAReZREAQqMo9SfKZtg6TTGSltqUxWyuwTiGRe+CS5/h4YduY40apLz00E/N+oiR7pT0PPrKmkq6nbtNZ9aQpRai3k6kpuxzd0D9xNsnCtkG57+LZtj+/gviiXrcW7T1ck/k3brVGt2YqhTIlqzdZrjqwC+A3tj2rNVkq3nSFygvvz4DVNVi8Xis5WsuixXQRG+xD/zjRkAZ4NEDHDoNZy+u8rqD5TQNhzj6Do5LksTwZVNcX/Nx9DZRXx055qUqYg+5eRUaMhb/F3qPOyaTdyBoGxrlmA7Sd8Z4Es5elHyNi5GP+oZHol3YtUWn+1FhERwIyZw+jV+5JWp1ZbDQgYjXpCQ4MZM/Ymxoy9ia1bt/LtN1soKCh1SEqd+a0C9fxdzYFVGVlb0Rs1BCV0I7bPOIfXmnfIlIY0tu94t4iMIBi5cGQJNWnniLv/UY/okZpRff40hat+xffmGwm41TRJWq/8Vxw6Xo+oZoYEOSSq+nIlZd/9iuZsOsEDhxE2YjxiFwT+m0pSDGo1ZdvXU7F/F7KAIJKHP0hQm+5N9o8OTuxlsaw2NfCtJbRWBUGgJPswfh27Ipa5qJwgCHzxyw82h/49YjyVvp5xh2jomV1u0mXdF7MrgTtEyVPkqjmk90oT5obugbtJFq60D2xLImrQJNKPnEK5Yj2hDzYtiChgwnDL+/VahDQkiKAbkihal9oksnrdwaKZuKxE9a3lVJ8rIOyFGZ4lqpVVFM/7GkNVDQnTnm5ySktr2RJDnZqcn7+mLj+HDqNnukVUs/eusEz4zlB0aifp238mJKkXfZKnOiSq7dpF8sG8e/H3r0OrrcZo0AEgldiWFYtNxCkxMZEvv36FwOAKm2ApM6wlqexhTWTTMjZi1m/VCzoUgREk3XyfQz3VwtQtGLS1GLS1DV6vPQRBIO3UH6hSDxN95/34tvOcK4g6N4v8pT/i3aMTIVNvt5A888rfa/Eqhp26YFOnzNeboR++Wq+t2gOpFP7jE/RFpcRPf4KIMbe6RFSbAsFopPLwPjI+ex/lob3E9h5H91tfITixR5OIqlleyj+qLTc89G+Sh01tVK7K2ff28mKeQE1pNtqSQgJ63uBynbdWL7N56WtFYr69ebTH+tQQmiud1hw0RVLJUzJMzZHfaq50V3PltRq6B/bfNXa/ruTzb2lIff0Iv3ksNTsPoM0taFIb/sMGEPvha9ekVdUMad+BVJ8poDa7zP26LdCfvwyKzihZ9NguguJ8if/XdKT+LSMObFBrOf3mMqovFBH+/KPI2yd6rm2liqJ53yDUaWgz7elmbSObLRmG2hpyF3yFtryUDmOewC/cdTHgwtQtIAhwMVLeHoIgkH90AwVHNxAfN4R2sY4zaUVEBPD6W5PYsWMTM2ZM56WXXuKZZ55FChddAKQYjQakEjliiYxPPpnHhx9+wPz537No0ULGjZuARNTW5X5bi/+byKoJIrGY9qNmIJHZEmSz9dg3IhFDngbALatb/pF1KI/tInLiZAK6eU6uTFtaTO4v85ElxBD62H02igIho2/C+5dVvKbX29TZ1TGJB155wuaYUa2hYvFKanYfxOeG7sSMnNJgKtDmWpDq8nMoWr2curxs/Lv3IanLRJtsaE2BvZXU2nfVGem8bAkAgPzsFKSBwfgmu7ZQiVSW88DBPTbHHnzwyZboWquDu1Z6T1o0m2NRbK41srnW4YbuW1OSLLQWtITFOuiGQZQfNrk6RTz3kEfavNbg3bMzEl85pVtPkfDgTW7VvU5WmwiLRTX2MhDVN5ZRk15M+Aszkbfz3FavvkJF8byvEbRaEqY9jVdo/chtd2GorSFnwVfoK5V0GvMEPqFx9co0FGxivV1q/50gCOTsX0nxqR20TRqDTKogZd+/LeL7Zomorl2mMGPmMIqKcpkxYzo6nY73338fsVjKU089ickFwICXl2nr89NPP2LOHFMazZkzH2HXrv18+cVi3p+zEsBGh9VZhivrACuj0cD5tNWAyWor86nvR5t3aK3JopqnsUnh6QoKj2+l4NgmwkdPJOgGz00OOpWS7EVfIQnwI/zZhxDLL20tB6mqyPxlVb0kScv792bWY/faHNOk51A2fzGGyiqiJt1LQK9+jVo2mzqpGtS1lG5eg/LgHrwioug4/mn8o1xfZDQE+617a99VaFqglaegralEdeII4aNucTkCec7KX20+nwmP5Eii53ZoPI3LvQVufT5P+lc2h8RdjuC0K+1qcCXQEv6zIqmU8CHjKFixEE16DvK27vvHX+sQyWSEDG5P6fYzxE8f4taO13U3gCag+NwloprwzuUhqmHPP9oyRFWnI2HaM80iquYXadnureT87wv0qko6jnnSIVEFW4uVPZxtlwqCkayUZRSf2kGHdreSmDDUZuu9qOQ4ZvH9Ll1j6dW7DW3bJjN79huWNubMeYcvvvgCX19fAgODUChk/Oc/H/Huu29bysye/QYJCTF06RqCwuc0cGmLX69XI5V6O3QDMMNoNFCsSUckliCWyTEa9I1mKXInm1Hx6d3kHvyT0JtHEzLYc/6PBnUtOUu+AQTCX5yBxO+SFXTG2m0ce/HdekR15NvP2xBVwWikcvVWij74ArGvN4mP/Y3A3je69EJyd8tVEARUqYfI+O8HqFIPEX/jbXQf/6LHiKqjBVVwYi8QiUx/WxCujIeik9sQy2QE9nF9y/Crm0ait3oWdz3+t2b105NwtF3taAu8JbNGWZ/Pk5mY3IGz62uqO4ArW++tOUtYS6Glnq9/t95Io8JRrXbdpesvh879qMutoDaz1K1q18mqmyg+X8nCmSYf1RYnqm9eBqI69Rm8QsKa1Z75ZVe6eTX66io6jXkSn5Bop+Ub8vuznqgt/z+9m8xdSyg9v4/OHe8iLtY0QZt9SL1kvph9RP39Yhg1+pLiwPPPz+LNN9+2fJ4z510+//wLFAo5//nPx7zzzqXv3nzzbZ5/ftbFtKsw4ZYB5OXvu0hOTZO8RCJ3qgQgCEZSc1egyj9Hu1GPIPXyceqLGtt3PF6+wcT2Hd8gebdG6bl9ZO9dQfCAoYQOrx+s1VQYtVqyl8/HUKkiYtajSEOCLN+9tWglf1+2tl6d0f94jgvxl3yb9RWVFP/ft1T+tp6QgcNJnPq8Wwsgd/zZtGUl5C74ioIVC/FJbEe3O2YT2fVmRGLPqX84eibJw6ZafFdbEo2NB22tiuKzKQQPuBmJwvX3z8Gk9nw9ZCQC8NGw8RhayHe4KTC/Q4rWLLcQtdAhIxErfDBqNZZjLUmsrAnMlfKvdHZ9LUmerxQxv5Lw9PM1LzIqD+0lrP9I1EdPoSso9kjb1xoUndsh9pZRsedC44WtcE0nBfjb7onI/WQea7fkgoqFj+7EP8KbhDnTWzjqfznV5woJf+FR5O0SPde2UkXRh18jaC9aVEOan3WjbPdWSjevRiSV0eWW5/AOuiRJ5K5GpTmtpZevKUuStqYCsdQLo0FHl053Y9DX1YvU37L9TcxkVS4P4tTJswQEemM06NAbNEglcj7776e8++6/LOcJCgpCqVRaPr/55t95/vmXANDr1RiNekpKSujffxiDB7zcqGyVIBg5XrCK0gsHSB42neDEHi5ra7pSriztEBk7FiHykhM+eiLB/QY3ei9dgWAwkP37d2jOpRPx0mM2W1ff/998RtoFUhmAIe+9TH7kpQVO7ZGTlP+wDJGXlJjbHvBIEgmHfdXrKU/ZStn2jUj9A0jsdxeBcfW1Xz0BT+miNqUdR3Wsj1XqCqg6cYS2z7/pfmpaQQCDAS4S1dayBaw8kELRmuUgCDbi//YJAVpLf1sK1/r1XauwHqdJz75G2n/+hU/f7oRMvf1Kd61VovqH79CVV9P9k6nXkwJ4GqXpKhbO3IVfSxNVjUlHtfpsCxDVyiqK/v3NRR9VzxBVQ20NVccPI1H40GnMkzZEFaz8/DKOklqc2eikbeMnKAjkHvwTo15L185TiIzoYZPW1EwaTSlNUxGLZdzQ5zYCAk3PRm/QAAJ6g4bZs1/D21vBG2+8DmBDVOfMmcPTTz+NziQWgFTqjV6vJjw8nHbJvYCGkwIIgsCJojWUnj9A0s33EZxoSnvrarBNY+XMEl0imReCVkP5ri0eIauC0UjuhoXUnTpP+PMP2RDV84/OxstuGbu3fSJTXr0UkGPU6lAu+ZPqbXvx7t2V2NH3IvG5lAjAkxOvOjeLwpVL0JYUE9V1KNG9xyCRuijX1AR4KlCqKfqqjs5tbqfg6EZ0ddWEj7rFJaLqranjo6U/MevuaajlChCJLEQVWo/2pXVaVWsLn73P5dUUxAOm31j5nu1U7N1OQI++YDS5rwT0uoHAnv2QePsg8fG1BDJebdfnLq52Mu6s/9bjVCyVEtxrIOUp2wmaPB6xwn0B/GsebbtRlfIb+qo6ELvmt3qdrLqAsswqFs7chW+InDbvtpw8lVGr5+zbv1F1uoCw5x/xbNR/VTXF/56PUFtHwvTmb/2DSc8y56ev0auUJqLqIDOTWaMSRGhrKsg7tLbBSds8UQuCQFbKUowGHVFRfbiQvh69Xm0TdW9G1y5T6MoUAKJjgizHxWIJRqMesViCRCxm9uzZzJv3oQ1RDQoKYvbs2dTVadHp9BZrrNlSq9M3vJUjCEZOFK+l5OxeEgff7XZ2rsZQnnGU9B2LCOjeF0VcAuW7t1om7ua8+AVBIH/Xcmr3HyPs8fvx7nope9HZma/WI6rLB/Ri1sz7LJ+1eYWUfb0YfXEpEbfcRdANg+r5pjaHCJmvLXjgUPTKCir27kAeHUuXW1/AJzTWrbbcgaczTXlKX9XcDj5eyORSgm50LV3xiq8/Iqm8lMPvmxZpMx+Yya72nS3fXwntS2fj1hFRu5rIm6GujrqcDNS5WWiK8tGWFKNTliEYDABU7N5qKVuxe+ulzyIR0oAgvELDkUdEo4iJwzuhLbKgYIfnuZoJX2tZHDUVzvpvP04D+/SnbOcmag8ex2+I69JyfxUourYHo0DlsWwCe7vm4ug2WV28eDGPPPII6enpREeb/BIffvhhDh06xM6dOwkMbJ5cTGtDeXY1Cx/dhXeAF23mtFxmKqNWz5l//Y7qeC5hzz+CoqNnAkUADNW1psxU1TUuR/039kI0aurI/flrdBVldBr7FN7Bjn1UTVv/Uzmy8C0M2lqX+isIAjn7/qD03D6kUh9KS09bovAHD3i5wexRdXW6S300Gix/DUYjc+d+YENUwWRhnTv3Q5577kUAG6IKUF3tPB2rIBg5Xria0nP7aDP4bsI6ND3VniOUZxwjfftC/Lv1Iur2exGJxQRbkZTmvPjLtq6jesceQqbfiU+/Hpbj22bPRWG0Zarzbh3Jf28fA5ieTfX2fSh/WYU0PJQ2j76IPNLxs28OETJfW8n6lYgkYuJuuMVtv9SmEE9PZ5rylIU2otMgZN4BpG35gZgpDyGWNe7e1Ka0iKRyUxCDeRmxz85F40qQwaudsFhDX6Wi6uRRqk6nos7OBMGISOYFghG/sEQibxiEuqIQZfZJwjrciEgspvTsPkLb30hQXCf0mlp0tSo01eVU60qoPnuCir3bAZCFhOHXvjN+XXvhHZ9oWQza37+ribxe7YkBXO2/LCgEece21Ow9cp2sOoA0LAR5ZCCq4zktR1bvvfdePvjgA9577z0+++wz/vGPf7Bp0yb27t17zRFVZV4Ni2buwstHSuJ70/AKrp/r3BMw6g2ce28VlUeyCHv2IY8K/htr1ZR89C2GChUJ059GHh7p0sutoQnFqNWSu+hbtKXFdBzzBD4hjScRMAcSuWJhyj+6nuLTOy9ux9cilXojlwcRFJDA7r3zGkx3WlFeg6pSTUCgN1KJ3OKz+uGHc22Cqax9Vt9443Xq6rQ899wsSx2xWEJxcTH+vvUzbZj8V7cjDQiipiSbxCH3ENb+RsBzlrny9COk71iEf7deRN9xv0N5oqa++MtTtlG2YyNBk8fb5LI++dRb+Gm0NmWPtIm1EFVjrZqyH5ejPnQcv6H9iR5yR4OZk5qcgaquDmlgMPrKChBBdLeRRHV3P6uLI+LZ2PNpiUxTnoBBpyHr0O/4tuuEX6fujVcQBNb/d67Noe/734SuFQRVXe2EBUCdnUH5nm1UnzmJSCzCp21HEgbcQUB0e86t/xptTQWaqjIiu1zUkhx8t6VubO9xFJ9JIX37QofjUFdXTXVRBqq8s1ScOkbFvp3IgkMJumEQgX0G1Lt/rZ382883rbGPrsKd/ge170PRn8swqKqRBHgmQ9y1BEnbZFQn81wu7/abSyQSMWfOHCZPnkxUVBSfffYZO3fuJDY2lpycHKZNm0ZxcTFSqZS33nqLu+++u/FGWyFUhbUsmrkLiUxM0vvT8AppmcEmGIycn7uaiv1phD013WY7trkw1mko/vQHdCXlJEx7ypKL3ZWXm7MJxajXk7fkB+ryc+k45nGXc627amEqOrWTgqMbkUoUhAa3R6nKtpDTHbvfRa9Xk5ax0UJWHQU+HT+ew+AhHRBLZHhJZHz6qa081Zw57zF79ivMnTuXN94wSVu9887bCIJJPcBLYrJaZaRpHJLizOztaDSVaEoqCW3Xj/wjGzAa9ER0GuQRy1xZ2mEydi4ioHsfom6/z6mOZlNe/MpDeynZsJKACcMJGD8MgPs27eb9xSvrSVN9ePsYPr+YalVzIYvSbxZjVNcRc8+D+He5ROI9ZdlRHkihdNs6BIMRwaBH4uWNQaum9Px+YnqPcbs9R8TT/HzyDq21Ia3WJLbHPW82+Rqas1hpqG7e4XUYaqqJePApl6TA/rZxlc1nI/Dh+Dvc6k9LwZVx21qthZqiAoo3rKQ27SxeYREk9J9ESNs+SOWXdtzM4843IpHUX991+Dwbek/IFH4Et+lOcJvuJAh3Ul2UQUHefkq3rKFsx0aCBw4l6alXEMtNvpCeIP/W9xvw2L23DpxrrWS6peDXsRtFfy5Dfew0fjf1u9LdaXWQt01Auf8oRp2+8cI00Wd14sSJdOnShX/9619s2LCBrl27mhqTSvnkk0/o1asXhYWF9O3blwkTJuDr2zIWyZZCdUkdi2buQhAg+f1pyMP8W+Q8glHgwv+tpWznWcKenIp3z86NV3IRRq2Oks/+hy63kPipT6CIvuTn58rLzdGEIhgMFCz7CXVmGu1HPYpfRKLb/WpoQi7POErOvj+QSOToDXUWkX/7tKfWsNZaNRPLTRtPMHiIifTbE9W33nqb5557kbo6LU8//TRqtcaiEmAu9/zzsyztgC0hjorsjcjbGzSVhHUcgCr3rA358Y1IhGL3slFZo/TCQTJ3/UJAzxuIum2Ky4LvrkB1/AhFfy7Fb/hAAu8cC8BrC1fyxJbd9cqO+fuznG0Th2A0UrVuB8rf1uOVFEebaU8jCwoBLk1wRq0Go7q2WZNR+d4dlKz73fRBIqX7Ha9QmXe2WVZORwskM5Ew6DQ2ZMFT2/9NseY2VBegujiT4lM7CR890aWgSLHRyMyUbTbHxjz7WtMu6AqhtVkLBYOBsh0bKdu5CVlQKG2HTye4TXeHKZTN486sbGL/PEMDfLhx/H1kHdqMKKpbvfrWEInE+Ecl4x+VjLbzLRSd2Ebxzs1UHtpLxC134d+pm0eslfaSWZ6692W7NlsyEl7NlvSmQOrnj1dSPOrjZ6+TVQfwSopDMBipzShxqXyTyOq6des4c+YMBoOByMhIy/Ho6GiLH2tUVBRhYWGUl5dfVWS1plzDosd2oasz0H7edOQRzqUUmgNBEEj/70ZKtpwi9NF78enT8EvLrbb1ekq/+BltejZxDzyOd5ytT0hTXm6C0Ujhyl+pPneSdiMeJiCmafJEzibknP1/UHRyByKxhNCQDhSXnMAs8g8Cmdk7SE4aXS+4ypze1GDQkJe/j9iY/pw6mcfRI1kEBOqZO3eOpeybb77Nc8/NsvJrFV+UqxJbiOrcuXO49dZJqCqlnDpl2qIwE+K0jA2cu5iZqv2YxwiM7WghImbyQzFNtsyVnN1LVsoyAvv0J3LiZI8S1eqzJyn4fSE+A3oTfP9tiEQinvtjQz2iKgCj/vkCF+KiMaiqKfv2F+pOXSBk8HDCho+3Sb9qnuDECp8m6TSaya5/155U7Lm0IEnodxty/0ukrKow3WNBT2YiYU0goenb//ZEtCFrbmNE2FFdg17LuW0/gESMyM5P1Zn1cde//2FTLiM4jFwPZKe7nHDHWtjSVlhDbQ15v/6IOiuD6J6jiO4xErGk8anT+nn2SI5m/MDO9GwfS5D/pQBdZZWaY+fzWLvnNKlpDeeU9/IJIP7G24joPIT01N/I/+V7AvsOIGL8nYibKUXmyLXAE+TSut3WsOi43PCP70TFwV0IRqNH3+fXArziokAsojbdteQAbpPVw4cPc8899/Ddd9/x448/8tZbb7F06dJ65Q4dOoTBYCA+/upJOaZWafnlid2oK7V0+HAqiuigFjmPIAhkfrOVoj+PEvLwZHz79/Jc20YjZfN/oe70eeLuexSfNs0P1BIEgZINK1EdO0jSzfcTFN+lyW05mpDrKksoOrnjYv8NVKpyLspRHcffLwatrsZmm99saTXLSTmyrn43fxsfzLuX775bwIwZ05k9+w2LxRSw0WA1H587dw7ffbeAyMg4Pv73L5ayiQk3k5m1DY22ChCQevsTGGvKx+6M/LiLopM7yNn/B0H9BhMx/g6nLzbzZOQdn4g6J9OlSaAm7Rx5S3/Eu2cXQh82keBNr8+jfZHtS0IAEr/9AEQi6k5foHT+LyAIxD3wGL7t6uefb+5EVLZrE/pKJRUp25AGhSDS6InuNdpC6MwkT5upBEFolOy5swVvbXV1tZ4jzWB7ItqQNbexseGobt7B1RhrqgEo37210QC77jmZhNTaBgXe9vQrDZ63NcKdBbUzK2xztrbNdYNuHILq6AEMNVV0HPekWxnSIjoNovugsTxz1xD6dnY8Dwb5ezO0TzuG9mnHodM5/Hf5LorKqxpsV+4fQqdBj1Aato/sfb+hLS0m9r4ZSBTeTbZI299vTxHLq91HtbnwbpNM2fYN6PKLTeTsOiwQyWR4xwZTm1PmUnm3yGpmZia33HILr7/+Ovfddx9t27Zl4MCBHD58mD59+ljKlZeXM336dObPn+9e768gNDU6ljyZgqpITYe5D+Ad33wNUmfI+Wk3BcsPEvzAJPyGeG57QBAEyhesoPbwSWLufhDf5PoEoyko37mZir07SBhwJ6HJfRqv0ACsyV3qr+8S0WUIJWf2IFX4g14HiCzyVCBYiKqZoF6ycm60WFkdyVkVF6t4750/eOW1MWzduo327WzF4601WL0kMp595lnGjRtNVFQ8773zB0eOmtoPCkigojIDvaBD4uWNWCIlutdop9flLgRBoDB1M3mH1xI8aDjhoyc26JNonoyqVEqX/MBqs9LJW/Idis7tCHv8PkQSCcefeJMAnc62nExG5y/fQRAEKlduQrVqM/KObYm7ZRpSf8e7C82ZiDRFBXBRdSAooSvJwx+qR9Ctff9qLmr0gnNy6aoF05502meMckZcLZrBmUeBqTZ9bIiINnVsVOadofj0Lvy79ESdl13P0uXI+hhaU4VOLEYkCEgFgTcm3uNSUJUnrJNXys/UmRXWOiuWWO6Nsc51VxVLVr4ta5AovOk09mm8gyIbrWeNDgnhvPvYBIoLc10qHyzX8tmsO3nzmzWcy254a1QkEhHecQDeQZGc2/IduT/PJ376E9dE8Nq1BO/YBBCJ0GZkXyerDuCdEEpdbrlLZV0mq+Xl5YwbN45Jkybx6quvAtC/f3/Gjx/P66+/zrp16wDQaDTcfvvtvPrqqwwadHWsqHRqPb8+u4eyrGo6fnAfvkktt2WWt3Q/uT+nEHTXePxHeO7+CIKA8tfV1Ow8QNQd9+Pf2YWIYRegPLSX0i1riOk9lojOTReitycY1oEuEpkX/Xo+ibd3iE2dzOwdeMl8OXt+peWzmZgaDBqLNdWZnNWFC0WMGzeBt99+laSkJEvgFGCjFAAm8pqRkc5DDz2ORNSWs+dXYXJDqAQEEEvocfcbePl4TvFCEATyDq2m8PhWQoeNJXTomEaDZ8yTkbVl1RnUuVnkLvoGr7YJhD01DR+tjpOPv4G9+NO820bz30mjMChVlH6zGM25DFN/bhrl8a0rwWikYt9OSjetRhYSRpfhM5zqpjqyfsIlUpq9d4WlHLhuwbQnndb1GiK8Zs3g4MReDvvoSejUVaTv/gWf5I54JyajzsuuV8bRYmFbp+50//u/8alTE1RbTX6Ia++yks1rMNbVUrJ5TZOJ5pXyM3W2aAodMtIS3IMIt1xVQoeMpGTTnxi1GtoPn+E2UY0M8efdxyawc9tGHn1oOrNfe4PnXvyb0/L/+fj/mPv+HL79cQHvPjaBZz9a0aiFFcAvMokOox7j7PovKfpzGdF33n/Z7n1ji5PWGiTXUnB0vWK5HGlUONrs/Cvcu9YJnX8MmnNHXCrrMlkNCQnhzJkz9Y6vXr3a8n9BEHjooYcYMWIE06ZNc7XpKwq91sDyWfsoPKWk43v34te+5VY/hauPkjV/GwG3jCBgwjCPtq1avZWqDTuJGH8HgT09o+tWfeYERX8uJajfYKK71rcmugN7EhDVY4QpO5VOS/dO99cjquYtflMqVRPMrgCxMf3Jy99Xz1fVESSitsyY8Qy33zaT++6bQrfucQQG+ViUAiqVtZw4nsHixUv4feV8G6uuCQIiiZS4PhM8S1SNRi6c/I3K4ymEj51EyMChLtVz1ZpZl59LzqJv8IqPIfzZBxHLpJx+8s16Ef9T/vYoe7u0p+7UeUrn/4JIJCJ++pP4JLVrwlU1DL2qkoLfF1Obfo6ILjcT13cCYml9vVBHllPr8RPVY4SJqNq5BjREHK3btCed9vWcEd7kYVMpPtOWwtQtFJ9JaRGSCib93vMHFoMgEH37fWR9+6lLJDChpIjssAgQiahVeFOrcCN5icjubxNwuax67pCkyAl3NYkw+bbvRNHa34jpNQa/8AS3+/jMXUMoLszl0Yemo9PpePdfbwM4JKz/+fj/LN8/+tB0du49wDN3DeGt+WtdOpdfeAKJAyeTsWMRfl164N/Jc/EPDaGxxUlrC5JraTi7Xq+4KHR5RVewZ60X0vAQqkpVrpX15Il3797NkiVL6NGjB7///jsAP/30E927e8bK52kY9UZ+n32ArIOldHrnbgK6tlxmnJKtp0j/zwaiJvVBdqv7MjwNoWrbXip/W0/osLEE97/JI22qszPIX7YAv07dSe5yu0tyOQ3B3uolkSkw6jRIpd7U1hYTHJTksJ7ZdzUyvLsNIXXmq2oPM7ktKYb/fLoegOBgXxTeMurUOioqaurJXwmCQFrGBgwGDWKpF4HxXSg6tRORVOYRgmI06Dl/+BeqTh4l6rYpBPbxbDKBusJ8chZ+hSwyjPAXHkaskHPKAVH9ZPww9nRKpvKPjahWbUbRuR2xE6Yi9fO8+kXVmRMU/bEEJBJLcJozOLJuWo8fawJrTSob8j21teTLSRhwp8Nn2Zil1FWXgeag8PhWatPOEjf1MaT+AS6RwJ+/+w8xlRU8N/lBtDIp56JiTalVXUT4iAnNJpqXyz/RHZKU/OJbbvmomkmt8sBuxHI5EpnCqfyUM/RIjrb4qM5+7Q0LEX33X2+DSMQrr8xGIhZhMAp8+OFcy/fm8m3bmnS2uydHc7yRoCszQtr2oSjvEKWb/sSvQ5fLEszT2Lhs7S4Jnrb8Orteb+9IlOczm93+tQhpSJB1Dp6Gy3ryxEOGDMFoNHqyyRaDYBT48x+HubCjkA5/v8PlLApNQfm+NC58uIbwkV2RTby72cTPGrUHUqn4+XeC+t9E6FDPkGBtaTG5i79DEZNAhxscC9I3B2plIVkpSxFLvdDr1Zw9vxKlMpOuXabUK2udShVsZaQc+ao6g9kSC5CcNNpGp9W85Z+ZvYPIiF4Ua9IxGDQAGPVaKjKPuRTgA40H6xh0Gs7tXUBtxnli7p5uo1fqCWiKC8n5+UskYcFEvPgIiaVKtv7zE6SC7Rth3BtPcSI0hNKPvkNzJq3Ftv2NOi0l61eiPJiCX8duJPe5G5miYc1iR9v59iTSYTDSobUYtLUOU/r6RiSizVRiNOgwaGubLFHVkMuAJxJCVBWmkXd4HSFDRuJ70c+6MRI4+PwpbsjJBGDZ9/8BoPPf/43gxnvmagqEaQmSZE+Aq8+cJCS+B0Und7gtaTZ+4CUJQrMl1UJY//kPvOUyZs+ezdy5c3n3n5eUG1577TUby+v4gZ1dJqsikYj4jqM4u+Zz1Flp+CQ1Ta3FHTQ2Zlr7mPK05dfZ9UqDgjEoVQh6PaJWkJSjNUES5LraUqu8czt27GDevHkcOnSIgoICfvvtN26//XaPtS8IAus/OMaJ1Tl0eO1WQgZ4fsvTDNXxHM698wfB/ZNR3POAR8lA3akLlH77Cz439iRi7CSPkOCyXVso3bwGiY8vHYc87HCbtikwT+wFqZspPr0LL78Q/KVhlJSatEyLSo7bkFJnsLamNpZ61b6eXq+2/N9WWUAARMRE92X/yW/Q1lQgVfihr6sGkYjgxF42AT6uXKejyU2vqeXMjm/RFBUQe/9MdOWlpH38jsdW9priQrJ//gJJcAARs2bwxOYU3vhjY71yk159kiM6A2X//BRBEIib9gS+bT0/uWmKCshf9hO6ilISBt5FeMeBLo1RV/xAHRFDo8EUNGbUa+pZw2qKM0EQEEtkSBR+Tp9lY4SzIZeBxgK8GmtbW6viws6f8G6TRNjwcQ1evzW+W/itzeevBo9AaMZ7prX7GrYESbImuOV7d6AtK8YYFN8kSbOe7W136J578W8gElmI6Ruvv868Dz+0Sf38+htv8JyVWomjdhqDX0QSUv8Aai6cuSxk9XLBk+PRuq3LZfmV+ZvcxwyqapMl8TosEPu7LmvaKoW/ampq6NmzJ59//nmLtL/9v6c4vCSD5BfGEjbMc0L89qhJK+L0W8vx6xyD7/QHbTQqmwttVh4lny9A0SmZuNGesX4atVpKt64FwYihtpryjKPN7+hFRPUYgZdvMHK/YLRV5fRodw+qqktRsv5+MeTl72P33nnk5e9z2k5iws3I5UEuW1PN7QUFmPzOxGJZPZ1WuTyI2Jj+ZOenIBj1dJ74PDG9x+LlG0zCgDtJHjaVHve86ZJlxXyd9pObtrqCUxv+i668lPiHnsI3uUM9Ie7mQFNSZCKqAf5E/G0mm9//oh5RFYAhc15ix4VMiv89H2lUOEkzX/I4URUEAeXBPWTN/xiALhNfJKLTII/uKNhvxwOILwbQCUZDve/MzyW273gLASk+k+JSu84Q0WmQzbhw9uzt2847tJbUX9+1Ob/RoOf8ngWIRCJiJk93+V3x1NZ1Np/rJBI+GT3RpbrO4MlxebUgqN8gi8tARcpWAFR5Z+s948YQGuBjo6NqxiuvzGbOe+9ZPlsT1Tnvvcerr78FmALrjDotAMH+3oQE+OAqRCIR8ug4NMXXln+kJ8ejvTXVVTeRpkJ5IIWCP0wyiMaqmkZK//Ug8fMhZIhr80+rtKyOHz+e8ePHt0jbe388R8q352jz2DAix3t2C9Ya6rwKTr22FEVcCAEzH60n6N0c6EvKKP7ke2TR4cTf+nCztxbMq02Jt89F/xGRy9veriKi0yC8fIO4sOk7pFJvKiszSUy42bIFr9XVuOSD6giOUq6CrRXWDJnM16ZMTHQ/tLpaMjI3ExjXiaSbH0Aq98Y7KLJJ1+7IKqiuKOTslvkgEpHwyLN4hUUAnvPpslhUA/yIeGkmR978P8KrbV+MApDwn39Q9v1S1EdPETJkRD2Rf0/AUKemaNVSqk4eJbDvQJK7THLbOm+vWWsvX+VMfD+273iHUldg+1ycZRYCzyUHcAT77FnWagbpp1eizs0m4aGnXPYZ9lfX8tz2DTbHxj73hlv9doTW7mvY0ggeOJyS9b8TGOe+IUMhdzzWJWIRs2fPrmdRDQoKYvbs2Wi0egx6DQgCBr0GscwLAG8n7ZlhP+7kegVqg7LBOlcTlAdSMGo1iBU+Dseju1bXyz22y3ZtxlBtUnUw1mkuyzmvJohkMnzunUr5rn80WrZVklV3odFo0GguDQSVynF02ZHlGWz5+CRx9w8kdvKNLdYfbVkVp179FamfgqCnHkPsLfdY24aqaoo//h6xt4L4yY9Z8kM3B+bVpr6yguQRD6NTq1yesB1N0o6O6TW1ZO3+FZFEil6vtmzjAzZ+p2Zt091759mQTzMhNRg0lvrWW/nWpNSZT6u9f6tOV0tq9goqc88Q3Ws0Mb1G26RPdNUHsaFyVYVpnN/6A7LAIOIeeAxpwCVFAU/4dGmKCkxENdCfiJdmcvz1DwmurbMpo1LI6fjK45S+8xmGGjWx983Ar2PXZp3XDOvJQhEbT/7SBRhqa2g7bBohSb2a1Ka1ddOg02DQ1qLNUAKXFlCOFgX2xwTBSMHxrRSf2kFEpyFEdR+OSCxukJA2VYqqIX9Z+7aLz6TYqBmIxRKUB3YTectkvBMcBxo6wu55ti/49OAwigKDmr1t2tp9DVsaIQNvpmLvdqRyN9QULqJOo3N43GAUmDt3rg1RBZOFde7cuTz7/CwkUjkGvQaJ9NI7Xe2kPTPsXU/qRDUmo8M1grJdmzGqa5EGBntEceByj+3QISMp27ERfVUlgk5/2c57LeKaIKvvv/8+//znPxssc3pDHmvfOUrfKW3xenBIg2WbA31VHadeX4ZgMBL8tyeRuOGT0RiMGi0ln/6IUV1Hm4eeR+rbcKCKq/BJTEZ17CBBbboT3MYke+KKBJCznOqOjuXs/wOjQUdSwgjy8vdbSKM5Wt+M2Jj+7N47r56F1UxIpVLvem4A1qS0IZ9W6/9XqnI4fm4JBr2G9qNnOLSiuCoy76xcecYxMnYuwjs+kZh7H0bijpSQC6grzCPn56+QBAcQ98xDXHjhnXp+PXNvH82HIcFUvP8F0ugIEu970qX88q7CPFmUbF6NoNPiFRFNp5GP26RLdRfmYCjfiERUeWcBEEmkyBrwNQXQ19Wgyj9HVWEaNSXZqCuLEAymCSLv8BoKjm3EP6Y9ikCTZqYraVw9ETRlD+vfSXBiT7L2Liew7wC3JtF79+/ie6OBD4BXgSeAW5416V//1SSDWgK+7TpRdj6VuBsmIhK7vvtQpqpFWaWu5wrw4Ye2wVRBQUEW4vrG66+j1uh47oVZFosqQEWVmnJVbYPns154CUYDdXnZBA+wdZFq7T7IDeFqVxwI6jcI3w6dSf/4HVwOe78Oh7gmyOprr73GrFmXnNNVKpVNmtf0lCL+eO0AXcfH4fXwXR71nbOGQaPjzD9WoC2tIvyVp5CGBnusbcFopOybxejyi0h48GmPEY7a7AyqThwhsHd/knve3Wh5R3qp9lYq68xDRxa+hWA0YNRr6NThdmKi+5GY4FxTNC9/n0kySiyz0VC1JqT2LgLWhFepzKSopNLio2oPQTCSnbub9IwN+ITF03HYNOR+jp9TVI8RJouZTtOgrqb9PRAEgaKTO8g9sBL/7n2ImnSvJXe3p1CXn0POwq+RhAWT8PRULrzyfr0yk198hPVHTlH9+0Z8h9xAzNDJNpOhJxA84GZKt6zBWKcmovMQ4vrd6lLe9IZgDoaqKc60bO07I4t6TS0VmccoTz9KVeEFAKQKf8KDOhCb2JOa2hJKSk8REd4NhSKY/IpjVOacAqiXxrUxfVf781uXt3ZBcEXqKKLTIALjOnNqzScoYtsQOf5Ot+7RjZkXeArIAj4Adk9/whJU1dAEfjUTl8vZ96AbBlJ5aA9lFw4S1sE9ablj5/MY2udS0K61jiqYfFTNagBvvP46YFIJQBBs1ACOnc9r9FzWOwEVWccx1qnx62irs3o1L16udsUBMM3dgFuLnuuoj2uCrMrlcuROtsPzUstZ/uI+2g6MwP+ZKYjELUNUBYOR8+//SfX5QsJnPYYsxr2MJw22LQhULFqJOvUMsffNQBHjOM+0u9ApK8hf8gOKuDYkd7/TJRJvT8wa2o5N/fVdDFqTZUAklhAd1ddhm9Y+p5ei9kUYjTqLddXeAusMZRXnAeHiX1totFUcz1qBKv8cATEdqKsspjL3dIPbtq5YV63vgWA0knb6D5QHdhEyeARhIyd4XvorJ5OcRV8ji44g6fEHODn7A5vvBeCmlx/nwPI1aLPzibz1boL6DvRoHwA0RfkoD6YgEolJGjadkCTP+IDba6ra33fhIpEtPpNCRVYqgtFAQHR7pFJv9Ho1EkFC546XyF+nDrdb/p8QN5j9p+ZTU5pNUHw3astyG4zmb8hlwLq8OQinIX9Yaxh0Gs7t+A6xzIuYKQ/Z+J0rD6RQsnkNiEz6p44m41l3TmW88jPW5ufwrEzG/LYdLN81NIFfzcTlcvZdER2Hf7fe5BxeTUBsJ7x8XU8IsnbPaQtZtSeqb/7jnzz7/Cw0Wj3PPj8LtUZnsbjaJw5Yu+e0y+csOr2LnP1/IAsJQxFtqyLgbPFyNS9criYIWlPAnMjLc3Erf0W0SjUAT6E0o4olT6cQ2TmI0JfvRyxtmZWNIAik/3cj5XsvEPr4VOTtPKvZWrV+B9Vb9xB5y134tfeMeoFRqyVvyQ+IpDI6DHqwUWtY8ZkUUn99F8CtyHjRxQjthNghNv6g1rDeujdH50eGd3c56t8RjEa9jbJASekp9h3+DHVFAe3HPEZNaS7aGiV5h2yzxJiv0xyp3ViEtzUMOg1n9vyI8kAKkRMnEz56oseJam3GeXJ+/gqv+BgSnpzGmdkfILHbXbp78nj2fL0QQ4WKhIeeaRGiWnnsIFnzP0UsldJl4oseI6pQP8reDMFooDz9CKdXfcKZNf+lpiSLtgkjGdz/FaJ9TZqkUqm3xefZkapEfsEB9ColAIHxnRuN5m8oGtxReVfGi2A0cm7/QnQV5cTeN6OeO0/Zrs0Y62oxqmudR0BLpex++GkWJbZjyYtvOT2XPUKHjHQr7WhrQmN9Vx5IIe3jd1AeqK/y0BREjL8DkVTKud0/YtC5HhyTmlbAodM5pKenMff9OZbjb/79bZ57YRZ1Wh01dVrqtKat/zf//ralzNz355CensbB0zkua6wC5B1aA0YjRm39fjqLev8rqj5cCRjqTJKJYh/FFe7J1Y1WaVmtrq7mwoULls8ZGRkcPXqUkJAQEhJcT323/IW9BER5E/PWA0gULbeqyV2YQtHqY4Q8PBnvnp6Vwqo9mIpy2VpChoy0kI7mrogFQaBw1a9oS4rofMtzjYq0g2sBJPYITe5L/pH1BCb1JDnWecIC+y1+d5QA7JGcNJq0jI3o9eqLBHg7ZRRSen4/QfFdaTPkngav19665mrAjba2krM7vkdbVkLs/TM8tqiwRvW5U+T9+iOKDknsqq6m78vv2XwvAIPG3cze39Yjb5dI3K0Pup2NqrGxZdTrKVn3O8qDKQT07EdyjzuRSD3rWlDvnAY9ZRcOUpC6GW11Of4x7enZbToFRUdIy9hAdXUBSlU2er0auTwIpSrbxufZ3nKv0apAJEajKrU5j6Nn3ZDPqrWrgHX9xsZLzoFV1Jw/Rez9jyKPjK73feiQkRbLqj0xW/ztp5yJiOaft92DVubFIw895dpNvIjWum3qyjutsb572vIq9fUj9r5HyPnxC87s+JaOQx5GKncteOm/y3fx2aw7+fbHBTz60HRmv/aGw1SrcMmSOvf9OXz74wIiouJ456MVLvez+PQujDoNYoU3YUPHAq7dzyvl7/lXs+ia1QDEAZ6JMfmrolWS1YMHDzJ8+HDLZ7M/6oMPPsiPP/7ocjsSmZiEf05F6tdyK5qitankLNhN4B1j8RvSz6Nta9KzKft2CT79ehA24pKUV3NfyhV7d1B1/DBth07FJyTGk122mdyNOg0GrZoOocMarGNNUM3EIiggAaUqu14kf2NENjamvyVTFYBe0FGecYw2g+8mrH1/RCKRxWoq8fIhtq+tRJp1cI+rqC3L5dzW7y9KUz2DIsrzaXtVxw9T8PsivHt2pvDEOQK0tlHCAhAwqA/V63YQ1P8mIsbc1iRZqobGlq6ygvxf/4emMI82gyYT1mFAi/l/g8mSWpZ2iPyjG9BWKwlO7E7PDvfh728as8dO/AQIlnS8Zl/loKDEeioQ1pb7zOwd6AWtQ0u/KwGE1nA3EUDxqV0mdYIJdzpd0DgjZZMPptA7N4ueuVn83usGCgOCKQrynF/8lYQniGZLkC9FTDxx0x4nd9G3nFz3H9rfNN2ld2ZReRVvfrOGdx+bwM69BywpVJ3huRf/xsRJtxMRFceb36yhqLyq0XMIgpH8IxsoOLaR4AFDCR97m+X36Mr9bMmFS0OE9Gp2RWkKdColIi8ZYt9rR6XBUxD0egxbVrpUtlW6AQwbNgxBEOr9c4eoArR56x68QltuNVOxP420T9cTObEXAbcMb7yCG9CXVlDy2f+QtYkl1k70vzlbebWZaZRsWEVk16GEtO3tcr3YvuMtoupQf7vcjEuT92aKTu0gNLkv3grXJ1QzsSgqOW4hGI70UgFOnlrClu1vcvLUErtWLu2L+4TE0PX2lwi3IlaFqVswaGuRyOT1CIZ1cI8rqMg6wem1nyPx86fNo8+3CFGt2L+LghUL8e3fm5zTafWIaqG/H95JcVTvTyXq9vuIHH9Hk/VTnY2t2owLZH39MfoqFZ3GP+NyNqqmQBAEKrJOcPL3/yNz1xJ8Q+O58YZniZAlknpyoWV7PzK8OyAiMrw7SlU2IKBUZRMb099GCcIUbCciKCCB2Jj+JMQNxqCtRVNdXu/ceYfWWoT7ofFtfVcTARSmbkGZfYLs/b8TPGAowTe6p0jirdXw7p/LANNLe/H3/8XLcO1I4ZjHnXd8YpO38j0p8m7tUuAdn0ibR59HLJNx+s9PyD+6AaO+YUkpgHPZJTz70QoqNK7tPJRrvHj2oxWcyy5ptKymqozT27+h4NgmwkZOsCGq0LQ5wpNuFA25GFzNrihNga68FGlYSIsu7K9WGGvUFKw45FLZVmlZ9RQU0UEt1nb1uQLOvrOSkP7JeE2a4tGBaFTXUfKfHxF5eRF/xwzEdgkFmroi1lepyF+2AO+EJOJuuMWtuo7STNoLm8OlgJSAmPaUnt9P28ABbp0nKCCBopJK/P1i0OpqnGqkgilFq8mylkpQfiIx0TdSUnoK48VHEZzUm7ZD769nQWsoaMZVUXhBECg8vpW8Q2vw69yd6DvuR+xlmpQ8tc0lCAJl29ZTtn0DIcMHULBjP14Go02ZzEB/2onFUF5JwkNP4x3XPH9p+7ElCAIVe3dQsmEVPonJtB8w1SW3EXdhtkCGJPemujiL6sI0/KPb0y35LgL8TQuAY8cX2Gzvd+0yxZKi13qr3x7WRBYgM3sbAFUFF+qVtUdj2/qNfW8eT8Fte5G2/Wf8OnUjfMytjZ7XHp/98oPN5xJfP3JCw91up7XCPO7SPn7HY1a35vwO7a1/XqHhJMx8gbJt68lP2Uhx+n5iu40mNLlvg/7+ReVVvDV/Ld2Toxk/sDNd44MI8pMjkcoRy7yoqFJz7Hwea/ecdslHVa+ppejEdgpPbUPi40fc9MfxtQquM6Mpc4QnLZ4NWbmvhCvKlXQ9UKsKkEZHXNZzXi0wqKpdLntNk9WWQl2BktNvLscnKQyfaQ96NIhGMBop/Xox+vIK2jzsOS3Viv27KF6/EpFUSocBUxuU0XDmp2c+7huReDHgoH6mK2tdVbl/CJWVmRw7vsClLXy4RCy0uhpL0gDAYV3T1m8qAGfPryKrdD91FYWIJDJi+4wnuucol6/NDGvy4aysUa/jQuoyVMcOEnLTKMKGj7MZA5546QtGI/k7llG9fS9ht42iZOWmemXOB/rTUV2HLDaS+Dtm2CQc8ASMWi2Fq36l6vhhIrsNI67vBIfjxhNapAXHNqGrraQwdQuKoEh6dptOSEgHm0WgfZIHazjydbZ1KTHVz8vfh15vSprgF9WW1F/ftcl45a4EVWOI6DSIgOj2nF73GfLoWKLvfMDt90VSSSFD0s/ZHBv+t7eb3KfWjOZu5VuTkub8Dh31QyyVEj7qFgJ79aNky1qydv9K7rF1RCT3J7TdDSgCwpz+Fo6nFXA8rYDUX98lyFdGSEQsCSMfs9FRbeh3pK4ooOTsXkrSDoDRSPCAoYTeNMojSWEauuamorX5RrszFjxJbAVBQJdTgP+YltN2v5phqHScwMkRrpNVN6FTqTn95jIkPl4EPvEoYrlng0uUS9dQd+IscQ/MRB4R5bF2SzevAYMeiUyBzCegwbLO/PDMx836lBIvHyQyeT0rZMGxzQgGPQa12u0Uqg0REnt07TKFgNx4zqetBgTqlEVI5b7oNTWUnN1rQ1bNE4E5I1LeobWNEixH90Fbq+Lc7h/RFOYRfecDBPSoL8fV3Je+Uasld80C1KlneGxAb762I6oCMGbIDWzadRCfG3sSO/o+j+un6pQV5C35AW1JEW2HTnXoMmJ/T13127S5FsFI6dl96DWmSTs8vDtdO9+NWGQixfapdM0BU/YZzhzBPPaUKiwLn917P0QQDIhlcmqKs2zGc1MkqBqDTl3F2a3zkXj7EnffjCY9pzWff2jzeVdSe4weVploLWguybEmJc35HTbUD6+wCGLveRBNSREV+3ZSlLqDgmMbkUfHoSstxairozB1s1MFicLULSj829YT/Ld+34S160dNaTaqvHOUFZ5AW1yIxMeP4P43Edz/JrcDJ5t7zVc73BkLnrQw68pLMdaq8Ur0jNzktQZDeaXLZa+TVTdg1Oo5+8/f0FWqCX/1GST+nt0Ord51gKoNO4kYdzu+7Tp5rN2atLMYNXVIvBTE9B7baHn7rXBriyrFWCxR5r/2kPsHo6tVEhjQhrDQDi6TT3BsIXMEQRAoLjlOVmEKiESIpV7E9h6HSCJ1uI1vnggkXj54+QZb8rM3JPZuvl5zWzUl2ZzfbtqOjX/4GbxjTcoU9itx+5e+Oyt1fU01Ocu/RZdbwJC7x/P1ktW21w3439iTml0HCR02ltChYzzuC1WblU7+kh8RyWR0nvAsPqGO/XDt76krfpvW97q2PJ+slGXUlGQR2r4fncNGUVJ6kj37PrIQUUeLHVcXQI4WPoEBbSguSSWq23CkCl/LczZbVs1w1R3EjLRtP1OReZTgxF4kD5sKgEFbx5nt32LU6Wgz40kkPu5ns/tgxUKsn64APDr9Cbfb+avAmpQ0RL48YT2Th0cSNXEyEWNuo/rcSapPH0dbUgSY1EGOr/0IX98oFAHhePkGUlOaS0VWKmHt++Mf1RZ1RQEGvY6ytEOUpx9G5hOIWOOFUSJweOEbYDQgkskAEYE3DCJy3O02erzX4TrcIeKetDCrs9JBJEKe7LqK0V8J+tJyZCF+6Mobdwe4PvJdhCAIXPi/tVSdKSDipceQRYZ5tH3NhUzKF/yG7803EtT/Jo+1q6+uomDFQnySO9L5pkct/puNSfI4sqiaiZu5nnMSYvK9qq4ppGf3aQ63Z80R+8lJo92WqqpQZnAub8NFYfeudBj7OIrAS/57zlwXzP23z1ZkD+vr7XHPmwCUXjhIVspS5FEx+HXqTv6v/7NMdI2txF1dqWvLSshZ8g3GOg333T6GhXZE1QgEt02g5vBJou+aRkB31wPkXIXy4B6K1izHOyGJDgOnU5GZyoXNPzgcJ/bi/WbYjy17hQWjXkf+sY0UHd+KPCCcPj1nEhRk+s6eiDoinK5a3+0XPkajHmVtDsFJvYjpNRpwnla4MV9U+2usyDwKgmD6y1SMBj1nU35EV15K/MPPIAsOabCv1jATqciBQ7k91Tb4YORzb8D1QA0LrBMo+CZ3RJ2TaUNAnZFST1rPxF5eBHTrTUC33ghGI5qifNQ5WWgKcqktKaLy7FkMtZcm48LUTRSm1nfrMWjUKGLj8QqPQhEdi3dCEnm//IC+soKa86cRTZzcrH42F38VySlPWphVRWfxSohB7OPZVNvXCmRV+QgxgdfJqieRs2AXpVtPE/rE/cjbJXq0bX25kpLPf0LeNoHYmyd7xFJmeomvxqjVIJLKaN/vPptAI1cyMzkietb1nFmfvIMiqC3Lc0omLmWpwhLh74o0lUqVw7nirajyziLzDUaq8CMgrpMNUbWHtetCwoA7ba7VoNNYor6tj1tfl9FoIPfAKopP7SSg141E3nIXGf/9wGai80T+6tqsdPKWfo/Yz5e3hvTl7V/rW1QV4SEYistImP4k3glJTttqCgSDgeL1f6Dcv4ugfoNp22USYrGkwXFiJnRmZQhnck/WCgvVxZlk7lqCpqqMxIThtEm4GbH40mvInog6srQ3VYs3L38/2lol7Xs96rSMq/639tcYnNjLYlkVjEbOHVyEOjuDuGmPo4hyTx7OTKSqt623OX4qMpp8D6VZvtxoKaJjTqAAUHXyKAiCDQF1RkpbSmNUJBajiI5DER1nc9yo01GxZzsV+3cR0LMvfh27IRKJEMlk1Jw9hfLQHkJvGlXv3lwpLVRH+KtJTjUXgtFI3clz+A1tum74tQ51dhm+HaOpOtF4auHrZNUFFG88Qe7CPQTeNQ7ffp7L1ANg1Ooo/fwnRFIpcZMe8tg2j+klbiKEErEMmbetj5Mr25yOLIzm474RiU4ndbl/KGKJzCmhSEy42WJZtQi1O9nWFQSBysosLpTuRJV3BkVgJG2HTyd3/yp0ddU2JMoR0YjqMcKkWGAXCGaWrzL/3/oazCRMp67i9LavUedkEDHhToL6DUYkEtWbQJqbv7ry2EEKVy1BntyGo+VKOq3ZbvN9hVxOhFQMYjFtHnkerxDPWvUN6lryly6gNvMCbQZOJrzTpYxX7owTszKEfR3T583IA8M4s/q/+IbF0ybuZvILD+Hl5WvzzJubFMIZdLpa0nO3Etb+RryDnPuCOyLnzsaV9TWatv6nmnZgji+j+nQqMVMexiexYX1NRzCPL8XgYfTv0pvQmio+/G0RDz3oXgKA1oSWIjrWCRSsLavW3zsie5fbP1MskxF68yhCb64f9KmIiiV06GibY9bkPtmNDGWO6nvqOlsTcb4aoM5Ox1hd6/FEQdcKBL0edW454WO6uVT+OlltBJWpOaR9vI6Isd2Rjx/m0bYFQaDip9/Q5RWS8PBzHnWaD+h5A+U7NiISSx36qTrKvmOGM59Nczn7ABRzO+bJXOYdQHVxltO+OSIk9tu6RqOBktKTZJbupaYkC++gKJKGPkBIYi9EYjH6upp6JMoR0bC+TnufRGstTXtUl2RxYfv/EIxG4h98Cp82bS3fNTbRuTpRCEYjpVvXUb5zE4EDelO690i9H+T5oAA61qqRRUUSf+ejHlOHMENbWkzu4u8w1NbQYczjBES3s/nelYxM9gsC+/SkfuEJiGVyqgvTSU4aQ0L8EFL2/Z9Lfqf2AVbWx6wTRzRGcE+XbgbBSGyf8Q2Wc0TOnY0rR/cl79AaKo/vJWrSvfh3cu0lbA/r8VUJVPr5MfkJx9mPrha0FNFp7kKxtaK55L4lFgfW1mrrz9fhGFUnjiIJCcQr6XpwlSPo8ooQ9EZ8klyT4LtOVhuAOq+Cs//8jYBuccjvvNfjgSzVW1KoSTlE9J0PoIiJa7yCixD0emrOncIrPJJu415ELHWcaraxqH97i6o1GvJd9Y9uR9HJ7VRWZhMYWN+x3FGEN5gIq1ZbTaUqh/KKC4CAf1Q72o2aQWBcJxs3BkdkwZkV0FFZZ2RDEARKzu4he9/vKGLiib3nwQYloRwRU1cmCqNGQ+76n1EfOUXY7aMp/n0j9qPrXIAfHVXVePfoRNyE6RYdV0+hNuM8eUt+ROrnT5cJz6MIaJrF1tmCQDAaKTyxlfwj61EERdKvz9P4+UYCttv99j7McGnx0lCAVVFJJSA0SniVykxKz+0lYcAd9XYYHF2Lq+PKHgWpWyg8voXwsZMI7H1jg2UbwmPbN/L81nW8cPd0Nnb17E6Op+Cu5e5qJY1XCs0l9y21OLjuCuAajHo9qtNH8b2pn0elLa8laDNzQSzCJ9G1eec6WXUCfVUdZ95ajjTQG/9HHvZ4FGbd+QwqlvxJ8ICbHcofNQdlOzehKS6g8y3POyWq4HwSdnbcfjvUnuBG9RhxscxmxDJvDh2bT1LCMJISbV+Y1gREECAzeyt6vRqjUU9G1hZLOZl3AB3HP9mcW1EP5muQKvyoLc+1jd7WaUhLXY4q9RBB/QYTMXZSo8/d0cu7sYlCV1FOzvLv0JeUcdfEESx1QFSXR4czuaAEv6H9iRl6t8dfeJWH91H451J8EtvRYcB0pPKGAwDc0acF0NYoydixiKrCdBLib6Jt4kgb31TrRcruvfPq+TDbp0c1k1qzRbWsQoPRqEcsljYYaJWTm8L59LV4+YcQ3kQJKlesy8VnUsg7tJrQoWMIGTgUaNpWbFRFObO2miz+7/++mNNRMeS2QvH/66SlZdFcct9Si4PrrgCuofrMcYw1tfgN9uzcfi1Bk5aNb1I4EoVrRpjrZNUBjHoDZ9/9A11lLeGvPevxnL4GpYrSLxciT25D+Gj3s9k0hLqCXMp2bCK65yh8wxq21jqbhJ0dd2aJtS5vcg9QmiKWBYGMrC0UVZ8jLrgXXl4BiEQivLz80GiUGCRGzl24lBdYJJER2rYP3iHRFJ3Y7rJsEJjIgiPfVGfXoK2pALBEb9dVFnNu1//QVZQ71U91BEcv74YmitqMC+Qt/x8ihZznRg3hk1X10xEO79udbYeOEzp0DKHDxnrUoi8YjZRuXkP57i0E9h1Icrc7EDeQIMIMVwLyzMhMWUbp2T2IZQp693yE4KC2DZa392EGHFred++dZ9FNlUjk6PVqZDLfBq2qaVmbQDAi6PX1Mpk1BleDrcrSDpG9ZwXB/W8idNgll5umELpfvv+P5f9+Oi23pR7mi+GNy821BBoi238F0vJXiX53B3+17FNNRfmxncg7JCGLibzSXWm1MGRcIKhfw3ODNa6TVQfI/GoLqtQcwmc96nGJKkFvoPSrRYiAuFsfbHIOd4dtGwwU/rEEeUQk0T0cTyLNyTbkynaouYxvRKJFzqe2LJdz5XkgCDZlDZpaRBIpgkGPxMub3g+8a/kusot78l2FqVtM7YtELvXP2rJann6EjD1LkQUE0mbmC24lY3D15S0IAsr9uyhe/wfyjm1ZKhFz6+otNmVUCjnxvbqg2nuEiPF3EOxBCTMAo05LwW+LqT6VSly/24jserPLRNiVZ2806Mk98CelZ/cAIBN7OSWqzlxBzHBEQM2peIMCEggKSmxUvqq09DRGvQaJlzfRvUY7LecMrhD0isxUMnYuJrB3P8LHTqLy4B7LxOouoeuXdo6oKtuMLl8Ndb/fnkJDZLu1beu3BKFpjvXYU/1xpZ2rkcy5g6vNil+Xl4PmfCZhT0690l1ptdCXK6nLVxLQ3XV/3utk1Q6Fq45QuPIIIdPvRNHJ/UjexqBcsQ5Nehbx059C6t9wJimnbTh5OZWnbEVTlE/nic87zVftjmSVPaF1ZTvU/H3eobWIxCYiCgJePoF0uW0WJef3U5i6GRAR23e8pU/2CQjcJdPOND8d9c/8vVGvI+3UH6Rv/xn/7n2Imni3R9MXmmHUacnf+is1KYfxHz2EuYLArZt225RRecmI6tIe9f5jbll2XYW+ppq8xd+hKcwnecSDBLfp3mB5ex3axu6tpqqctG0LUJfnEx7eHZUqp0Ei6W5mM7iUilepyqZrlykNZ6/K2kZ65ia8g6PpMulvDkl5Y2PNWXIMc3llzinStv+Mf9deRN56DyKx2GZiTX7xLYeTq6Pfr0yvZ/BPX5EIvAo8AXw1ePgVzVR1NVlPW4LQNOf6PdUfV9q52sicu/DUOLxcpL740EakEaF49+naYue42lF38jyIILCX68kSrpNVK1QezSL98034jRzUItpotUdOUrV+B+FjbrOJLncXjl5O2vJSyrZvILLrUHzDnK9W3JEiaii7U2NpSs2yUNYpWaUKX0pO78agVePlG1wvYh9MJNecDtUdsuoKkbZGXWUx53f/hLa0mMiJdxPYd4DHA+jgon/qb9+jLywhdOa9TAGenP+LTRmDCKLbtUGdeobYKQ/j19GzLzltWQm5P3+DUauh07in8A1v/AVhPQYAtDUVTlPUZu1ZQcmZ3YCIhPibaNe28W3rhoT9HSkAmOukZWzEYNCQl7/PKVnNydtDeqbJrUCvqXX6XM3X6Oy6nCXHKEzdgiIgjLSt/8OvQ2e8E5JI/3SOy9ZUR7/f3776N6OALOAD4BGRmE887CJ0tQVFudpf5YEUjFoNYoWPR4l1c67fUwTLlXZcPdfVaoH11Di8HKS+rjAP9eEThDw0+XpgVQMQpR3Hr2M0sgBv9DUal+pcJ6sXUVeg5Oy7KwnsmUDAlIkeb19fUk7Z90vx7tOV4IsBGO7A+kVj/3ISBIGi1cuR+PoT02tMg+1YT8DOiGdDhNaiqblnOVWF6ZbgJGtYy0LF9h1vaTtt289oayoQSWRu+aN6GqUXDpK1dzmygCASZj6PIspxOtHmomj1cpQHdyP29SHy9af4dfEqbjqbblOmzNeb2LhotBeyiLv/UXzbdvBoH4o3rKIiZRsSXz+6jH+OyryzpG1d0KgF2n4MFKZuqZeiVhCM5B/deJGoAggUFac6JKuOtv2dSVEZDBr0erXDhBFpGRvR69WkZWx0SlbTLhJVEOEX2dYmYYGja2wo9a6j8sGJ3Tm/+Xt8ktoRPXk6GZ+936g11Rr2v1//2mralRbzKiai+ipw86x/NNhGU3C1WeBc7W/Zrs0Y1bVIA4NbfMvdVXiKYLnSjqvnutLP39Nk2d32LsdOQVHKaqQRofgO7NNi57jaIej0KA9lEDPZPcWU62QVMKi1nPnHCqR+cvweesijfqRgkpIq/XohYh9vYkff3yQLXkPbi9Wnj1ObdpZ2Ix9GInN9G9uVgCl7RPUYQfae5cCl4CR7OKtvKg+CUe+UMMf2He9WTnZHcEbCDbo60lJXoEo9REDPfkROuLNFtv0Fo5Gy7RtQHjCROJFMRt7bn2K/zs4KCaJDUAC67Dzipj6BjwezUikPpFC6dS2G2hoAxIIYuX+oy4FS9s8wotMg0rb9TEXmUVNCiBPbyTu8FsGgIzSkE5Uqk65uQ1nLnG3720tRSaXeyOVBjSaMcIT8ggMmP1W5D7F9xjdoqbfOwOXKmIvoNAjv4CjObZyPd0ISMVMeRiyVuj0J2pOLfy9fBJi2/p8Afu3VD6W/5zSXzWisn63N8ubKfVUeSMGo0SD2br5V9UqTOXfQlGd1pd06PH1/3W2vpXcKatLPU5d6htAn7kck9SyHuJZQd/oChlotIYPbu1XvL09WBaPA+XlrqCuqJPL1Z5H4eTbyH0C5bC3a7ALaPPIcEm/XcwQ3ZE01w6jTUrz+D3zbdyEowT0Rclf1I60R0WkQVYXpltSS7sA6JaUZ9uTJ3e18R3BEyKpLsknb/TP6mmqi7rifwJ43NOsczqCvqSZvzU/UnbqAomcnRBm5/F9FZT2iuvSG7kwtKUdfWELC1KdQxHpWOLpkyxqM6loQS/Dy9ifqYsCdq7JkjmBOm1pdmEZF5jEQjICIsNAO9Ow+zWlf8vL3YTBokEq9HZJZMyl1JvKflrERna6GHbvfJTS4vaWMPZTKTM5eWEV4x4G0GWTKo2628DcEV8dcdXEm5zZ9iyI2nth7H0EsM8nCNXcS/GDMrfT6IYvAixnn3pl4d5PbagiN9bO1kTVX7qs53Wpzrapw5cmcO3D0rBwRWPtjV/K5evr+tqbnJRgMFG1agVe7Nvjc0ONKd6d149QBFHHBLuurmvGXJ6u5i/ZQvuscYc9MbxGZCfWx01Rt3EX42EluExJXgjUqUrajVykRaQ0Un0lpUT9PM8ypJRuDPQFyVK8phLkxWLcpGI2kbfkRZc5JpIHBJD4+C68W0q1U52SSt+J/CDo94S8+wj2qav577Ey9ck9NvYNvt+/DUFFJ/LSnUER7zg1BEATKtq7DqK5FLJUTd8MtRHQebPneXVkya/hGJKLNUKKrq0Yq90VfVw0IpGVsdOhjCiaievb8KkBALg9yaB21VwPIy9/H7r3zLO1lZu+4qMOrQ6nKZvCAl+u1kZG1hYzMLUgVvlTmniZt28/UFGcSENuRmuJMh+PLnWC+6uIszm38BkVULHH3PerRBA0ZkdHMumsaX/zyHY/ePxOdhzWdXUVrmvxdhSf7bE3mrqSV2ZVzO7puRwS2NS1APE2WrzT5tkbF3u3oCoqJeuvZFol9uFZg1Ooo332O6DtvcPs+/aXJavneC+T8tIvA20bh09vzkXv6ChVl3y9F0bMzwQOcR0Y7Q2MvYn2VirJdmxFLvdCpVS5pYLoLdyZ0+7KuECBPWFKdtampLufUti9R55j9RIUWIaqCIFCxZzslm//EKymesMfvZ9bO/fxtpa2GqgA8c/9tfLttL4ZKFQnTnkQeGeO5fhgMFK1eTuXhvcT2vYWo7sM9Jk0lCAKqvDOAgEgsZVDfFygqPkZm9g50uhqnfqQmv1MBEDWoDmBfx3rrPzHhZs6nrcVo1BEUUD84TKerJSNrKyCg19SAIKC9KJvWUBY2V10iqkuyOLfpG+RRMcQ9MLNFXEd2t+9Ez7fmebxdd9CaJn9X0VJ9vpIkz3zuks1rnJJWR9ftaL7wjk+kSqXEOz7xcnT9LwltWQml29fjP2owXm1aJv7hWoH6yEkMtVrCR3Zxu+5flqyq88o5P3c1wQPa4Xer5y0JgtFI+fdLEEnExI65z+1VhCur69LtGxBJJMR0H0XxqV0tErTkjhi8fVlrzVVzkAvgMPjKE7CQ5e7DkcjkZO3/DbHCm+ABQ6k6ndoiFiODupa89YtQHz2F/9ibCbpzHCmvvEdcZbVt33y96TPnZYr/PR+DqoqEaU+7pefaGIw6HQXLf6L67CkSh9xLWPt+btVvaNEgGA1k7/0Ng1aNRCInNKQD+w5+RmLCzQwe8DI7dr+L0agDIDjEF4VCRl2djoryGpuof1clqhwpBRiNesAsX3UJBoOOwxcWIpZIkXgp8ItMpqY4E9+IRItFtSmBhGZUF18kqhHRHiWqnfOy+eGnr1nfuQc1cjmfDxtLjcJ1F6HLjdbmz9rSuJJWZvO5jVqN2z6ZYCK75s/qnEwQBNPfawitZTwKRiP5axcjCfQn8I4rk7zjaoL+4B78u8biHRvidt2/JFk1qLWceft3vIJ98X1gWotITFRt3EXdqQvETXsCqa+f2/UbW9lry0qoPLSXuL4TiOo2jKhuw4Cm65Q2dUK3rmdf1kyATFmtLskgmWWtmqL12hDMZDnn0CoEnY6AHn2JGH8nEm9vIsZNcvleuAp1TiZ5vy1AqNMQ9uyD+PTqwu4X3yVOZUtUL0SFMezVpy4R1alPeZSoGurU5C3+nrq8bNqNfJigePdXrU7b1taRtm0BqrxzSKXeJCeNrmf5nHznswwb0YFhQ0cSGhZqqauqVHP8+Fg2bTzBqZN5Lp/T3i3AmXXWKBg4lrUUdXk+HcY9gV94G4ftmcdf9t4VwCWptMas+tXFmZzbaG1RVbh8DQ1BYjDw2/xPAJhyZB8AK3r350IrJqutaTv5cuBKWpnN57YmZK7CYpXdYrLKescnooaryrXDFbSW8Vi+azOatCwiZj+OWO4516BrEbriMioPZ9LupfFNqv+XI6uCIHDho7Voik0BVWJvz0xA1tDm5KNcsY7ggcPwTW6aFFFjK/uy7RuR+vkR0XmIzXF3LKGu1HM2oZvJpEGnwaCtpTB1Cz3uedMlcXWzZbWpWq/OEBjXmZJzpuxJMXdPx79rL5fquQvBaDRt+29ZjVdiHGGP3480NJgvP/sfcaoqm7IbunXkkZlTTES1UuWyRdVVy4G+uorcn79Bpyynw5jH8Y/0nKKAtqaS8xvno62pQCbzQaersVg8M7N3MLD/nbwwazB9b+iAVCJHLJHZ1A8I9GbwkA4MHtKBo0ey+G7+NoqLVU7Odgn2MlfWAVhmOauY6H4cL1hFZe5pkkc+4pSowkUFCyepeJ0tiqqKMji3aT6K6Fji7vfs1v/jOzbafNYDFzy4eGkJXI3+rFcCnpa/AltLaWOwWGU1JqusGkh+8a1m9aM1ojWMx9qsdEq3rSdgwnAU7Zv/3q3athfVmq0ETBiO/7ABHuhh60L11j1I/RWE3typSfX/cmS1YPlByrafJezJB1okoErQ6SibvwRZVARhIyc0uZ2GVvbashJUxw+RcOPtiKW2BKGpAUvu1jOTSYmXD16+wQ3WcySD5Mn+6DVq0k/+gersAXzbdyHqtnuanB2s0XNVV5G3fhF1x8/iP24oQXeMRSSVsPW1D2lbXGZTVumtYMZj91L8f99iqFCRMN31rX9XLAc6ZQU5P32Fsa6OTmOfwifEc/6vamUh5zfMB6Bvj8eorMy0IZBDb76N19+aRG7uOUBAb9CAQeOQtAIEBOr5YN69vPfOH1y4UORU+B+op6Vq/rd77zyLRbe2toyyvAMk3Xw/QfGdG7wW83hzNJ4cLYqqCtM4t+lbpP4B6CrKUaUe8pj1RqHR8Nz2DTbHRr7wJlx0E9JXqVDnZqEtKUJfVYmg1yGSypAGBKGIisE7oW2L+Mw2hqvRn9VduEM0nZVtLfJMTbHKXk240uNRX6Ui/7cFyJPbEDhplEfaVK3ZiqFMiWrN1muOrBrrNNSm7CdyfE8kivrzgyv4S5FV1fEcMr/dhv/Ym1tMXkK5Yj26ohISZ76IuIWiest3b0Hi60dYh/o+gE0NWHK3nqvpTZsKV/ujzDlN5r6lGLUaom6bQkDvG1ssGrMm/TwFf/yMYDQS/sIjeHfvSOeMbFa99wUyo2BTdluXdkx7cirFH32LobSC+Gnubf03ZjnQlhaTs+ArRGIxncc9gyLAPRmQhlBVlMGFTd/h5RtEn47TkMsD8fONtJDKiIgAXn9rEjt2bGLGjOm89NJLPPPMs5hJq5cdWf3004+YO3cO3323gNffmsSrL//C7r319VPNBNbsn2oPs4XV1zeCnLzdJAy4g9Bk19LSOhtP9osiVf45zm/+Hu+EJLSlxehVSo9uNe78v7dtPhf5+pMjCKi2rUd1IRVdbgEAYh9vJCGBiLy8ELRa9CeUCOo6kErx6dWZ0O5Dm5UF72pGS/krukMMnZW9luWZrgRai2+qNQS9ntyVPyIIAmFP3O8xXfaACcNRrdmKvF0iea+8f01ZWKt3HsBQqyV6UtOTJfxlyKq2vJqzc1YS0C2OwLvGtcg56s5lmGSqRt3i0Shva+irVKiOHSSm17h6VtXG/Dyb6s/qCC0Rxe8O9JpakzX12EF8kjsSdds9yAKDW+RcgsFA6bb1lO/ajLxjW0IfvRdpcAAjDqbyw5cL65V/YcY9LO/djeJPvkNXVEbCtCdRRLk3HhqyHNQV5pP701dIvH3pNOJxvHwDm3RdjqDMOcWFzT8gEomJDe6NXF6/7Rkzh1FUlMuMGdPR6XS8//77iMVSnnrqSaQSW6vfp59+xLvvvm2qN2M6u3btZ8bMYRw5ahtEZS1xJZV6I5P51lMPiI3pj05fR3rGBiRe3iBqvq+59ThW5pwmbeuP+CS1I2bKw6iOHvAoUXhg7w78tbapBTsnRFDx6RxEci+8e3UhYMIw5O0TkQQH2iy6BEFAX1SK+ugpqncdJOfgf1F0aUfU0Ntb7F3TWtFS/oruEENnZVuLPFNr8elsLlrbdQiCQN7WJWgycoh8+XEkQZ7bwfMfNgD/YQPIe+X9a8rCKuj11G7eRvjwzsgjmn6//hJkVTAYOff+KgD8H3rQ4xmqAIwaLeU/LEWe3IbggcM83r4ZyoMpIJYQ3nFgve8a8/O0z/fekpbRloIgCCizjpO++xcErYaAHjcQdYf7aguuQldRTu6fC9Bm5BJ4xxgCxg9DJBYzfdMu3lm8ql7516ZOYnnf7pR8+gO63ELipz6BIjrOY/1R52aR+/M3yIJC6DT8MWQK94P3nKEs7RAZOxYDAoJgJCcvhYT4wTZlIiIr6dLVFET1yiuvMmfOOwDMmfMOYrGEV16ZjUgkoNdr+fe/P+Ldd/9lqTt79hu0bZuM0aAjPLKStAwTcbMmqiAiOWm0Q+WArJydpGdsQCxTYNCqPSrVVpGZStr2n/Fr35nou6cjlkodEoUmW3oEgbfW/W5z6F6gukZNyMOT8enXs8EADZFIhCwqHNm4ofiPuQn10VMol60l8+uPCBk8gtChY1psJ6e1oaWsje4Qw8uxDd0cq6Kn7tGVtmy2Nsty2Y6N1Ow+ROijU5C3c+4n3xyYLawBE4a3SPuXGzV7DqMtqSJ2SvOI91/i7Za9YBeq47lEvPQYkkDPpzEEUC5fh0GpIn7KYy2iLgAmC5/y0B7Ckm9AKq8fOdyYn6f1900NxPKkddZdaGsqSU9dQfWZE4guWpVrs9JajKiqjh+mcM1SxL4+RM5+wvJyWvmv/9Azq350e8fP/4VaIqH0sx/RZuQQN/UJvOM890KrzUonb+F8vCKj6XTzo0i9PBc9Xnwmhew9KxBLZRj1Wpzpog4dnoyJVMJTTz2JSCSxWE7feedtFAovZs9+hblzP7Yhqm+++TbPPz8LAL1Bw7333s2uXdstAVNmotqx/a1OiWpa+jqie45C5h1A4fGtHpNqK0s7RMbOX/Dv0oPoOx9ocDHbVEvPXYf32XxWimDLCzOI6tre7fErEovx6dMN7x6dUK3dRvmqLVRlniJu0nS8wiLcautqxJX2V2wJOCKFzbEqeuoeXWnLZmt61sqDeyjbuo7A28fgO7Dp29mNwWxhvRYg6PXUrN1E6E0d3c5YZY9WS1Y///xz5s2bR2FhIT179uSzzz7jxhtvdLudiv3p5C3eS+Bd41B0bBkfr7rzGVRvSSF8zG0tlh0JoPrsSQzVVYR3bJrAvv33TQnEairJbQ4Eo5GSs3vIPbwakZcXMXc/iL62mvJdW1pkxW3U1JG/fTk1KYfw6d+LkKm3I/YxEcNtL79HUnmlbXmg/ZfvoBNLKP3yZzTnMoi9byY+CZ6LzK9JP0feou/wjmtDxyGPIJF5Lsim8MR2cg+sJC52ID7eYWTl7HSqizp48CWLvlQi5/nnZyESmYgqwBtvvM68eR+iVCot5V5//Q0LUTVjyBCTioWZEDekxZqZvZ30jA1E9xxFTO9xiEQim6xczUHJ2T1kpSwnoFc/om67p9GFZlMsPYY6NUfPn+IsoBCLiTMauevt5/GOa972vUgqJfDWUXj36EzpNwA6FWAAAI4jSURBVIvJnP8RURPvIaB7y02k19EycEQKW4NV0dU+XGkLbEtDdfwwRauX4TdiEAETPa9nfq2iescBNMWVdH7nrma31SrJ6pIlS5g1axZfffUV/fv355NPPmHs2LGcPXuWiAjXLQfa0mrOf7iaoBvb4j9uaIv0VdDpKP9hGV5t4wnuf1OLnMMM1bEDKGLi8QmJbnZbjUlSObOcNie3fFNQW5ZH+qFl1OVlE9hnAOGjb0XibSKOwf08Q1isoc7NIv+PnzCoqgmZcQ++A/uYLF9GIxkzX8Oeynw2fij/njwBwWik7NslqI+fJXbKw/i2be+xPtWcP03ekh/wSWxHx4EP1fNVbg4Kjm0i7/Ba2iQMpW3iaEQiEXGxplW9fcR+cIgvkRGx6O2i/l9++SUUChlvvPEGgA1RnTNnDs8++zwajdFyTCqREx4ewaAB01DITTImjkiqIAhkZG4mM3srMb3GENPbs6LbhSe2kXtgFUE3DiFi3O0u7Yi4a+mpOnWMwvUrSKvTkHL3BAKH3ohIJsPowS17rzaxRL31LOU//UbB8p9R52QSMXZSi7g72eNaJymeREP3yhEp9IRVsbnPx9U+XGkLbEui6uRRCn5bhO/APgTfd+v1dKouwqjWUL1mI+EjuzbbqgrUm3tbBT766CNmzpzJww8/TJcuXfjqq6/w8fHh+++/d6udCx+tRewlxfeBqS22NV+5agv60gpixt7bYucAU6ak6vNnCI93Lfq5qbD3a7VHRKdBDvVUG6vnLgzaOrL3/cGpVR9j1GqJf/gZom67x0JUPQ3BYKB0+wayv/8Msb8vUW+/gN+gvpYXkyOi+s7kCSaiKgiUL1hB7f5jxNw1Fb8OronyKw+kkPbxOygPpDgtU332JHm/fI9P2450HPSwx4hq8ZkUjvz8BnmH15LUZiTJSWPqvYTN4v9nz68iL38fCoUMsUSGl5fJT1arrcZo0CESCcyePZugoCCb+kFBQcye/SoSO3UAcxtJSc63ugRB4EL6WjKztxLb95YmEdXiMymk/vouxWds768gCOQdXkfugVWE3DSKiPF3ePy3q6+uInvVD0T8+j/OqutIeutZAsYNRfD29ihRNUOskBP66BSCH5iE8tAesn75HH1V45q2zYU1SbmOhtHQvQrqN4jkF9/yONG7XM8ndMhIpIHBrca31FNQpR4if/nP+PTrQcjDk1t0jr/WoFq3DX11HfEPDmm8sAtodXdeq9Vy6NAhRo26pF0mFosZNWoUe/bscaut6jP5BD36ABI/X093EwBtbiGqddsIvWmURzMSOUL12ZNgNBKc2DKSW2ZE9RjRqG6qJ+vZEwpBEChLP0zqH3MpOb+XsJG3kPjE31pUpkdbUUbm4v9Stm09AROGETn7SWQRFzMxGY2ce+z1ej+U5x6ZzLfjh5oCvpb8Sc3OA0RNuhf/Lj1dPq+zicRMYov+XEbekh/xbd+FkOAOnFj+AWnbfnZIwNxF3sHVGHR1SCUKkhIdPzPTFr0IEMjM3kFdnc7ynd6gwSRVVYfBYGTu3Lk2FlUwWVjnzp2L0WjEaNCh1Vaj16stJLdOrcMRjIKB4wUryck1yVNFNzCmnBFScLyAEgQjaad+p+DYRsJG3UL4yAket5RUnT5OxtcfYjx9niNAO62Oz5etRaLVevQ89hCJRPiPGETkK4+hLy4j89v/Q52d0aLnvFZJSkvA2b1yZdHq6XN6Gi1Ftq8klAf3mCyqA3oT+uiU60TVDehLy6nesIOYyf1QRHpGrabVuQGUlpZiMBiIjLQV7I+MjOTMmTMO62g0GjSaS5IwKpXJohAwcaRHMks4gmA0Uv7TCqQRoYRchhd19blTKGLj8fKxffCe3H5vTluuSlnZnyPv0FoM2lryDq3FLyKRjKO/oc5Kx69zdyLG3o4sqGXkqMBEjFXHDlK0bgViv4tBVO0TLd+LDAYyHnsdeyrz9uTx/DG4HwCqlZuo2riLiAl3Etirn1vnd+YPZiaxyoMp+HXuQYcbp3Ji2ftoayrQZiodZmJyBwXHt2DQ1Zn6EOI8w1psTH+UykyKSo4TFJBARXkNqko1AYHeSCVy9AZTGx9+OJf33nvPUi8oKMhCXN9443Xq6rQ88cRjgGDRUC0syqeioqaeq4HBqONY9nKU2SdJuuk+Qtvd0OC1WI8f+/th77JiNBq4cORXVKmHiJw4maAbPDuxGjUa8ncup2bXQbx7dSEzLcvy3bijp5i2fR8/jm5ZVyEAebtEov7+HKVfLiT7f18QMXYSQf0Gt8j2ZWsKgGntcJaRqiW30K8/H/chCAJlOzZStnUdfiMGmbb+rxNVt1D3xwqk/gri7vVcoFirI6tNwfvvv88///nPesf9R3vG/OwINbsOor2QRfxDT7W4ZIxgNFKbcZ7IjvV9ND0Z8HQ5gqecncNg0HJq5Ud4hYYTN/VxfNt1bJHzW85XW0Pe5iWoD53Ad1Afgu+fZJN6994tu/lg4cp6RPX2V5/kyEVCq9q4i8qVmwgbMYHgG90fa84mEr/2nVEeTEEeFUuHG6ciFkssxMs3IpGa4kwbC3bxmRRLCtvYvqa8y3mH1mI06BBLZMT2HW+510WndpJ3cDUSiRyDQYNSle2wb2YSabhoQTWX27v3IMOG90YqkSOVKPjk03/z/vvvW+rNmfMes2fPZu7cubzxxuuAKfjKaDTw1FNPIhZLMBoN7N6923IOc3KAyIieHElbRHVJFu1GPERQQlfL9dkvoszHjAbH1lmwXUAZ9TrO7ltAzYWzRE+eSkC33o0/IDdQl59L3h8LMChVhDx0F227diDi5fdtyqwY1LIuPNaQBAUQ8fJjVPy6muI1K6guSyd2xJQrkv3qakJL++A6Iqbe8YlUqZR4xyd6/HzX4R4Eg4G8bb9Ss/MAgbePIWDiiOs+qm5Cfew05Snn6fD6rUi8ncvxuYtWR1bDwsKQSCQUFRXZHC8qKiIqyvFW+2uvvcasWZeijVUqFfHx8S22GjJU16BcvhafgX3wSWzXIuewhrakCKO6Fv/I5Hrf2VuPmmMdbWqq1qaew2jQExDTjorMVEQiCBt9K8H9b2rxwJCa86cp+PMXBL2BsCcfqJfNbOXfP6ZnXmG9ep0/e5vai6oA1bsPofxlFcGDhhNyk+e0DKUBgSgP77NYVMVi072wJl7mZ2w+Xpi6BYO2FoDsvSuQyLwtnw0GnWVhUHp+Pzn7fic+bgjeihCycnY4lKcy6Z6uBEAsliGXB1nKfTP/U4YN/wG9QcOXX35jQ1TffPPvPP30U9TVaXjuuRepqanhvffmACYdVpFIwvPPz0KrrWbBgh/JzD5jyUoVG9OPA6e+RVujpMPYx/GPvOT24Ugf2KDTYNDWIvHyQaLwa3DM6jVqzu76jrqCPOLuewTf9g2nZ3UHgiCg3LeT4o2r8IqLIvwfzyOLDGPvo6/alJtz1zhUvj4eO68rEEklhNx/G/J2bSj/cRkZWR8Rd8eDf7kkAtZojIy2dKCQo90UdU4mCILpr4v9vA7Pw1BbQ87KH9GczyRkxj34XcbF5bUCY52Gyl9WENQ3kdChnTzadqsjq15eXvTt25fNmzdz++23A2A0Gtm8eTPPPPOMwzpyuRz5ZbQYVK5Yj2AwED140mU5X11+DgC+4fGWY9aktMc9b1qON8c6ejmyUkV0GkR4x4Eos45z/M956CrKCOw7kLDh45D6tYwGrhlGrYaClD+o3rYXRdf2hDx8D9Jg24waK//1n3pEVQA6fvEvNBfHWO2Rk5T/uAzfm/oRPmJis1fe5gmydNs6jHVq/Dp0sSGq9rB/xlE9RlzcDleDYNJAlXj5WCyrUT1GUJF1nMzdvxLWYQDtosZdjPqvH4EPWGmfglgsZfCAly+dO1/Bjh27adMmgblz51iOv/76Gzz55OPU1NQAtXh5+fH8c7MQBKOF0M6dO4dbb51EYYGSI0fOWLb+AwMTOXp6AQCdJjyDd7DtotQ3IhFtphLfiETLtUu8fCw+0g2NWW2tirPbvkFXqSR++hMetV4Z1LXkrV+E+ugp/EcPIWjyeERSKR9+vxSJYJt+95vxwzx2Xnfhe2NPvBJiKP1yIZnzPyFizCSC+g36S1qMGiOjLS0X5Wg3xdE5r+Xo+tYITVE+ucu+x6iuI+Jvj7aYzOW1Dv3639BXqmk7r37AbnPR6sgqwKxZs3jwwQe54YYbuPHGG/nkk0+oqanh4YcfvtJdQ5udT/WO/USMndTi5MoMTUkRsqAQJLJL29TOSOnlsI66C2ti7R0cTdbxP6nLycQnuSOxUx66LJYedU4m+X8uwlBRSfADk/AbPtD2xyQInHviDeR6g009jURCh6/nwMWydWfSKP1qEd69uxI7fIpHfpChQ0ZSum0dhtpafNt3bpCoQv1nbF5kOLOqVxWmcW7DNwS36UH3qFsa7XNiws2kZWwEIDlptM13sTH9+WNFEf/4Vw++/vprHn/8cV566SWefvopSxlzylWxRMasWa8hkciZO3cO3323gMjIOD7+9y4LAS6vuMDx04vx8g+h/ahHHaaOrSnOBEGwuD+4unNQV1nC2S3fIBgMJDzyrEeDIOvyc8hd8T+MtWrCnn0Qn14mBYiI8kqm7D5oU/a215+yjJ8rBVlUOJFvPI3y19UUr1lOVd4pYkbfe9neYa0FjZHRK+Hj6eicrdk14Fqz+lYeO0jR6qVII8OI+ttMpOEhV7pLVyXqzqRRvPIISU+ORBEd5PH2WyVZnTJlCiUlJfz973+nsLCQXr16sW7dunpBV5cbgiBQsXgl0qhwgjyg8enqj16vLEcWHGpzzBkpvRzWUXdhJtY5B1Yi6HXIo2KJm/Y4vskt65cKpgwapds3UL5rM15JcYQ/9xCyKLvEDYJAxqOv1ov4T+mQyH2zn7R81mblUfLZ/1B0SCRu/DSPuZl4RURh1GrxaduejgOmI5Y0/LN09owdHVdXFHJh8w/4RSTSM/5ORKL6fbYPcjL/Mx83w1wG+vPMU3/ns8/fZuvWrSQlJSEWSzEaDTb6q2Y8//wsbr11EpGRcbz3zh8UF5sCIE+e/pWi4mMogiLpNOFpm8WYGcVnUjDoNEi8fCwE1ZXxXVOSzbkt3yLx8SX+oac9FqgnCAKVh/dStHYFXnHRRL48E2nYpclt0f/Ntyl/ODGOY8meyWJWtW2vJQ1jUzLciL1khEy9HUW3DpT/sIyMjHlEjb8b/87dPdK/qwGtLeDI2RzgyDWgteBasfoatVpTQOTOA6a4hal3NJjy+Dqcw1irRvm/XwjoEU/UpJZJStJqQ9yeeeYZsrKy0Gg07Nu3j/79HW9ZXk6oD51Acy6DqJG3e8Sv0lUNPH1tNQqRSdvSLNUDONQ7bW2oqyxBFGjqu8jLi+g7H6DNYy9eFqJaV5hPxo8fU56yhcBJo4l89cl6RLXXuXQyHRDV21570oao6opKKf74O2TREcRPmuGxoLq6vBzyFs5HERtPp0EPN0pU3cGFzT9w8vd5CIJA77b3IRY7bts6yMnZcfsyu1I2MHbsWDIzM5FKFEil3nh5+dUjqmaoKqW8+vIvXLhQhCAYOZ+2hqLiYwAYdRqHRBWw+ONKZHKXx3pl7mnOrP8SWUg4CY886zGiatRpydu8mKJVS/Eb0o/IV5+0IaoAP44YhLUDwOTXn8JTUK3ZiqFMiWrN1ma149OrC9H/ehF52wTyl/xAzrqfMNTWeKiX7qElZZuuBjibA1qzJFhr7purqCvII+OHj6jdd5SQh+4i5JF7rhPVJkIQBOpWLMFQXUe7lycgErfMLlKrtKy2Rgh6Pcrla1F074hvO884DrvqHyXodIh9TCTgSqQ7bUrQVp2qlOy0TaiOHULq50fkLZMJ7NP/smTVEQwGyndvoXT7BmRR4US98QxebWLrlRPp9fw+9+t6Ef89P3oDZeAlX1Z9hYrij75F7OdD/OSZzYqotrakeCckkfPz13hFRNFpyAyPZqYy6LUos08AJjIolTomg4AlyCkx4WYbK6vZHcBg0BAa3B6l6lJ6VHOdd/75K3t36xk1uhvduscRGHQpiKhSWcuJ47ls2niCU6fyANDr6ziWtYzK3NOIJLKLPrXOx7+7bi2l5/eTuXspfh06453UnsyvP/LIdqVOWU7ubz+gyy8i5JF78BvsOPji55GDGJV6mmEnzvHuXeMweHC8B0wYbrGsNheSQH/CnplOzZ7DKBevIv3kB0SOuQP/br0vqy+rMyvd5dxqvpLb2s7mgNZmAbZGQ31r7S4CgtFIecpWSreuQxYTQdRbzyKLubI7tlc7anYfonzradq/OtFjmqqOcJ2suojq7fvQl5QTd9cjNseb8+N09YUkkpi2WOHK+KS6Q5DVyiJy0ragOn4Yia8vEWNvI7DvQMQyzxGxhqApLiR/7SK0mXkEjB9K4G2jEcnqD/PuF7JY9f4X9Yjq5L89YkNUjbVqSj75DgxGEqY+gdTXr1n9swRT7dgAgoAsMJhONz+KROa5AEFBEMjc+YvJT1KAyPCGt3nN2/4Au/fOQ6NRkpaxEclF31O9Xo1SlW0TaGVd59SpPAsZDQ72ReEto06to6LC1lpXW1vK0XM/o1NXIVX4oa+rRqLwa3BMubrtLwgCBcc2kn9kPYF9BxI54U7S//OeR7Yra9LPk7/if4gUciJfe8rhwscajz09naCqGopDg5p8TkfwHzagSdv/ziASifAb1BfvLu0pX7SSguU/U3F2P9EjJuMV0vz0iK6gMa3hy7HV7KlzNWUuaA4pbW3EUHkghaI1y0EQWqWLgKakiPy1i9Fm5OA/9maCbh+DSCZttnvNXxnavEKUi34nYmx3wke4lrmxqbhOVl2AUa2hctVmfAf1RR4ZbfPd5XipSnx9qdNUeTQBgDtwhSBXl2STcXApmsJ8xHLFRZI6ALHs8mytCAYD5Xu2U7ptLdLwECJff4r/b++s49u6zv//FkuWLTNDDCEHHOY0DUNTZl67rdyutH3bYX9d17XbOmy3tuvKlEKatA01zMwMjhMzg2Qx3Pv7w01qRll2kvN+vfxKdHTvOY8s+epzn/OALj2l2WN/tnA5Ty9b32S8fmkqAMntofxf7+OrMpNyj3+2kyMnz6By4yokrwdVkJGBU+9DrfNvSaPsNe9gzj9KQtwYBg64ttVjG8ernvOY+nwuXK4aANRqQ7MlrpqbA8ZBddN5KyqPc+TEF2iCTGRe+QSW4lOduulq7m9AknycPrgQ874dRE2fR8RlM1EoFF3O7JZlmertGylf+Q36zL5EPnBbs93wtG4Pv13wLf/v9qvxqdW4tRq/C9XuRBVmIvrhO7HvP0r1x19z5j9/JnLSdCImTUep7d6/35bEWndn5XfHWoGO5extsaOVm9fUVSP5/m+vtyB5vVRtWUvlplWoI8OJffZBdH1Tzz9fP7xGiNX2IzmcmP/7Pvr4UNIemdn2CV1EiNV2ULt6E5LDRezYeU2eC8RFVRsVi3nfTkpKy3Hbqsnb/hVAqxng/qQl75YsS5jzj1GYvQFH7mn4PuFIqdcTPr5lceNv6u6YP8F9poCQWZMJvW4OSm0znlxZZs9jzxPlcDQYdqtUZP3jNzjqCVVZkqh861PcuQUk3/WQ3zLJQwYPo3rnZnApGDj9ATQG/2Zj1+Qfw5x/FIDK6lNtHl8/FrV+ctWRo59RWn4QAJVKd96L2pi6mqzfcq4l67njTp9Zhdfr4PSZlbjdVs7kriUseTBpU25HpdWjD43u1Of1nJf/3N9AZMZITmz7APuZU8Rde1uDLmJtea1a80zVxad+hn37vjovzA1zWwxhOfTY/0Pv9XLXhh3IwJSX/o/8mMhmj+3NBA0fhD6zL5ala6n8bg01h3YQM+1qQoYMD3iZq0Bug/trrUAK7J5Yry3q29MbxDOA/cwpild+ibesEtOcKZiumtnku8Gf4TWXCrIkYf/0I9xVVrJevQuVvvt3ToVYbQPJZsfy3SbCR01AE9rUs9ZdF9X6X6SS04HPasGYOBC3vaZBu82eiGH1uh1UZu+m5NRmPFUV6JP6kHDzj/Baa6nasi5gF0/Z56Nq63oqNqxAHRVB7LMPoevbQuZ1Cxn/Fr2Oof/+faNDZao//hrH/mMk3nJvp8rHNCeEJLebgk/exmetZeDcR9AF+7eVrKu2ijMbP0YfHodsd7TqDYU6oenzuZr1nP7Q2UrR6jx1CVdyi8d5vS7O5K4lNHkQGTPuabYaQUeIy5peJ1RlmeIDqynN2YanpoqkO+/HmN5y69jmaMkz5THXUPDV23iKy4i8/zaM44a3OMfPF65A761rIav4/qcwqvtaBHc3Sp2WsOvnYpw0mprPl1K88EMq920g9vKrCerT8dqTvW2rujsJdJxpb4tr7U32eMzVlGz+Gvuug+j6phL1uzvQJsU3e6y/w2suBSzfrsG85RQDn78OQ3JgbsyFWG0Dy6rN4PMREeC714ZZonX5xdayM6SMv77B9qm/Y1hb8tTKsoy9soDyE9upPLMX2eclZNAw4q+7vYGY60zb0c7gKi2iaPkC3LmFhMyZQug1s5r3pgJxFdVse+blJkK1MNzExFd+3eR4y5I1WNdvJ+7qWwgeMLhT9jUWQrLPR+5b/8BdXkLc0GkYwvwb1C/5vOSs/xCV1sCYzJ9SVn7wfOZ+S17Rs3kb8Xod6HRhTY6pn3TV0vkAYaYUSsvNxEYPbXBcQvxo8go2n29S4Kgq7rJQBc5/Jov3r8TncyE7FHU1VGOb/yJqjWa7CeWdoeDLd1GoVcQ++1Cr8alhFiuPNcrMv+PJe5Eugj7imtgooh/7Ec5j2VR/vpT8d1/DMHwQsRPmd+h33du2qgUXN5LLRdXWdVRtW4dCryPixzdjnDCi27pZXorYdh3A/M1qkn80mYgJ/QK2rhCrrSDZHdSu3kLYyImoQ0xtn+BHGn+Rlq9eguR2Y0rof377/+Dnf2jSwao9tBY60NhT63HUUnVmP2Vnd+IqLUJtCiNi0jTCRk0I+O8E6qoyVG5aTeXmNWhiI1uNTQUYmFvId7//V5PxN2ZO4qXbrm4ybt20C/PiVURNm0foyM6XS6v//smyTMm3n+Mur+uMVZWzn6TRV3Z67uYo3Lsce1Uho4bdj0ZjaLK93xz1BSk0X2+1Leo8sPJ5T6wsyxw++inlFUdAoSA0eTCOqiK/tAM+h9YYhtfrQhsVQ9LtP+3057CxJ6hm73ZKly5El55C1MN3ojK1nkz37YuvNXicHRvJ5iH+bTHY0+gz+xL328ew7zyAefFKzr7xCkFjhxE7Zi7aqJg2z+9tW9WCixPZ58O8dwflm1Yg2Z2YZk3GNH8aSkPLVVAEHcd1Opfqdz4nalomSbdPCOjaQqy2Qu267cgeDxETpwZ87cZfpKZhozj7+iuc2vw+mTMf7tL2f2vnxmVNp/jgGkLiMzi2+X/YTp8AFAT3H0TUjCswZgwISPmp5nAU5FK8/DM8JWWY5k0l9MoZzWb6n6NPYWkToepTKJj728c42YzHzHHoOFUffEXw1PFETOlawHj99698zTIs+3cR2XcMtcXZfq/kYCnOpvTwBjLS52AyJQFNhWhznBOj5zyw7RG4QJPyVmfzNhJmSmHjlhfw+twgS3UHyjKOqqIOtQNuTczKskzZsc3k7/ya4P6Dib/hDpTarldRkH0+ylZ+Q82OTQRfPpbw269B0UYd3f55RaRUVDcYm/v7p7psS29EoVRiHD+CoNFDsW7ejWXJWs7s/BNBY4cRM2p2q/HcgQiTEh7bSxdZkrAc2kvFlu/wllcRNH4EYdfOxnH4BMXP/b3DGf6iMkDLeEorqPz3uxj7x9H36XkBj2MXYrUFZI+H2tWbCR02BrXJP7XDunKBVWp1JN56L3nv/ptjq/9DVP+xVJzc2W7hU18ENBc64LJWYS44TmX5ETyOWiqzd2NITiNm7nWEDB7W4ZJN/vwykdwuKtauoHrHRrQpCcT99jG0ya23aP35F8t4bMWGBmMupYL+b73c7PGuswVUvP4xhqyBJFx2g9/+EGt2b6Nq02oSR88nfqj/y435PE7Obl6AzhRJQeE21Cptg0SptqgvUNsjcBufM2n8L0hMGMemrX/E63UCoFTrUHzfLrbx57OtsJWWxKws+Ti6/g0cuTkEpfUj4ZZ7/LK157PbKFjyPs7jOYTfcS0h09v2FigkiVXP/7PB2BuzJ+PxU6OI3sp5Aa9QEDQ6C9epM5zd8WcMIwYTPWomhiT/dOpqjXPXFcnlQnLamw0vuBiE7MXwGroT2efDcngfFdtW4S0pxzB8EFEP34U2uS5EpbMZ/jVfrUC2Oaj5aoUQq/XwmWup+td/0ZgMDPx/16HUBv5ad3FfXbuAbds+pFobERP9lyHY1fgtXWwCKfc+QuGCdyk+tIaYgZMJTWq67dicd6p+FnXKuOsYMO8hrOW55G79kpqKbDyV5aBUEpSSTszsqwjOzEITGtaqPa1dUP0Vq2bLPk7xii+QLFbCbpxHyKzJbXp2B+fkNRGqMrQoVL3lVZT/8100ibEkXXG33zzH1pNHKV36JWFjJhE3uHsyTU+tehu39QcPX3Ne0cKiHZw+swqAjLRZ54+r7xntyNb/uTjVMFMKPslDzplVeDw2UChRabQkjprfore/rbqpzYlZr8vBye0f4MjNAcBdVeEXoeoqL6Xgi/8h2RzEPP1T9AMz2nXej1dtbvDYB7x0y1VdtudCwLJsHb6qGlwKSHjp/7Bt24tl+Qby9v0TXb80IkdNI7j/oG6LETx3XVEaglrsonQxxMleDK+hO5A8HiwHdlG5Yy3e8ir0WQOJvO9WdKlJDY6rn+EvvKVdQ7LZqX7tTWSvj8y/3IrGZGj7pG5AiNVmkGWZ2lWbMQzLRBsZ3fYJ7cQf8Vu62ARSH/o5VZvXUr59I6WH16NPSCY0PB1DeBy2ykLKj20BZIr2r0QfGoPXaSMoKhm3rRpk+XzZHwBtZAxBaf0wzriCoPT+qPTt/yC2dkHt6mv12qwUb1qEffs+dAMziHj6PjTNlANqfCG6f9k6fr1wRYNjJCDrH79tdh2f1U7ZP95BqdeRfMN9fqsr6SwupOiLDwjuP4iMQdd22lNbdnwrhXuWA5A4al4DoWctz8NamlPv6OYz8s8lUsG5klJOQD5f+L+5JKqGtVNpIGjPxalWm8+w89AbOC3lJI25itjBU7qcRNVYzDrN5Zzc8A5eWy1h46ZgPX6oxc9UR7xR1pNHKVr0IerwMOJ++yjq6PZntK4dOoDkiiruXbsNgMv+9Gy7z73QqS8CFGo1wZeNxThpNI79R7F8t5GiBe+gjo4gfORlhA4fi8rg3y+29pRH6q442UB6O0Wsb0O8Nivm3duo2rMJqdaGYeQQoh66s8UEyPoZ/oX/91K7vaxh188VZazqITlc1Pznv7grrAz5623d2qGqLRSyLMttH3ZhYbFYCA0NJem15zsVYO08lk3ZK28RPn4KtccO9dqtGMnlovb4IWynjuEsyMVTU9XisQqNFtnrOZ+dDaA2hZLx1HOdXr87Lt6yLGPZv4uy1d8AEHbzfIyTRrUo9s5diFSRYdiqLegkqcHzNq2WQa+/0PxaHg9lf/0fnuJy+tz7M7/dmHgsNeS99U9UwSEMmvFwl7pTHfz8D3U3GYDWGH4+/lOWJY4t+Rf2yoLz7+mAflc36xmt71kFvheuCtRq/fn/D+hX5xmsHw7gctWg04UBnP//uRasXq8LkNAEmeg3636sZWf8Xu/XUnSS7A0foDaGkHj7T9p8f07//QW85mrUoeFkPNn8zYksy1RvXU/56iUYsgYSed9tKA0df3+UksTex3/PuzMm8M9r53T4/IsVV04etau3YN99EIVKhWnISMJGT0KfkNT2yb2c9ny+BP7FWVJIxZGN2LfvA8A4cRQhsy9DE9f+a7XwrHYOyeXG8p83seWUMfjPtxDcv+MVV9qD1+Zi53X/xGw2YzK1nCwrxGozlP/nI7zFpcg2zwV1cZI8bqq2rqdm1xZMw0ZjGjwCpU6HKsiIUm/AvHsblZvXYEhOxZF/tteJcHdFGUWrPsd1Ioeg8SMIv+XKNjOya9dvx7pkLf+oNvNwo+fOREcw9eVnmj2vruj/Ahz7jpB898OdqqV6jvqi3TRsFHnvvIbPbmPQvMfRBnWtYkJLntXK03s4s/ETkhMnUVZxpM0SU+do7DE9V9BfrTac97ieE6XNeVbP5K7D7a49P5/WGEbWzb9l38e/xee2o9IGMeKO5m8O2ossy5Qf20Lezq8JSu9Hwo13t8tD19bNk+TxULTuM2xb92K6Yiqh183p0Hb1xMMnGJOdyz+vnd2h13Mp4quxYN20E+uGnfiqzWj6JBI+ZDymISP96m0NpLdTxJEGBsnjpvboQaoObcGdnYsq3ETwtAkETxmHKqRpBzmB/5Fcbixv/BfrqRIGv3QzIYNabzHdFYRY7aRY9VmsFP78RWJmXY1Cpfb7xUlc8JoieTxUbV5D5ZY1qCPCCL/zWgyD21fgPbm4gs2/+UuT8f/NnMQLzZSmOkfNwhVYlq8n4ca7CRk8rNO2Q0OPiz4+CdvpE2Re8RhBEU2TwPxRukmWfBz+6k8YwuIYmX57u85pXJaq8bjP52rgZW0sfH0+D2dz15GbvxEUCkzx/XCay86/Dn+JVcnn5fThrzDv3UFQWl/cVRVETp7Z5b8Vb62F/EXv4M4rIvLeGzGOH9Gh84McTo49+hwyMPxvv8Fm0OHp5lakFwOyz4fj0AlsG3fiOHSiLi5+5GDC+47xS2UR4e28OJBlGVdxAeZ9OzEf2Ytsd6DL7EvI1PEYRgzqsQo0lyKSw1UnVE+XMuiPN2Ea3L27Iu0VqyJmtRG2bXvrvoyzRqEKMvpdULY3cL67RG1vE8u27BOUrPwSb2UNpnmXY5o/vcXi/o0ZcTKHxX96s8n4wnHDWxWq1k07sSxbR/Ssq7osVOGH+DJtdCzW44fpO+OeZoUqtF26qSXqi1yVRoertpKs/re2eV5jMdo4Aat+e1S12kBG2qwmQrWqKptjZ7/FbasmYcRs4oZOR6lqeOlIHDWvy80pPHYLJ7d+gLMoj7hrbqVi/Xd4zTVdTjJxFhVQ8MXbIEnEPvMguvTkDs/x5Z/eAOo6VG1/5mV+ddf1fDVpVKdtulRQqFQEDR9E0PBB+Gos2LbtxbZ1L4U7/4fSFIxpwDBCho7EkNSnU0lZIrbzwsZjrsZyaB/mY7vxFJagCg0hZOo4jJPHoImN6mnzLjl8Vjvm//wXR35lt3tUO4oQq42wbduHYVgmqqDu2W5o78W1fO0yJIed8rXL/CoqWxLLgRaxHksNJRsXYd99CN2AdKJ/dg+a+Loi4+2JMXrjn+8y7+DxBmMyMP7l/6OklWQZ59Fsqj5cRPDU8YT7qX5u2JiJKA0Gir/8kMRR8wlLGdLisR3tOHZOpPo8LnxuOyUH19Y1N1WpsVjyCQluvYTXudhTtdpwfnu/uWOa62Tlcpk5WrqS6jP7CY7LoO/MH7fYeautLP/WXltc1nSCIpPI3vAesiyTfM8jGJJT6xpAdFGIWA7vo+SbBWgSY4l65EeowzselhFfUcXg/OLzjw0eL8tGtfweC5pHFWbCNG8qIXMvx5NXhG37Pmp3HaBm1xZU4aGY+mcRPGgYhuTUdgvX3tTi82LHX98R3loLtccOYj61D9epMyg0agzDBxF24zz0g/sJL2oP4a22UPPam7irbAz+y60E92u5fnJPIMRqPTxFpXjyi4ie2H0xae2+uMqN/vUTLYnl1jy+/hSyss9H9faNVGz8DoVOS+RPbyFo/IgGCVRt1cj76OX/cNmp3AZjdq2GzNf/0OranqJSyv/zIfrMvn6tpeosLqRk8QJCho4kbqh/s0jPeWJV2iC0xnD0YbFYCutEev1i/i3FrLanbeq5pCmfz0Vh0Q7i4kaSX7CVs/nrUWp0pF12GxEZLSe5dfW1Fe5djuR1o4tPJPHme87XNe6KEJEliYp1K6jatJqg8SOI+NEN7fbYN5xIZtszf2ow9OWEETj1XW9GcKmiUCjQ9klE2yeRsJuuwJWdi33XQSx79lO9YxNKUzAhGYMJHjCYoPT+fqvQIegaXSmn5a6qxHriMJacA7iyc0GpQJ/Zl4gf30zQyMGi01QP4ykpp+pfbyH7fAz52+0EpbS/OkqgEGK1HvY9h1DotBj7Zva0KUTPuKJbtrdaEgCteXz9VjM15xSlqxfiKS4nePoEwq6djTKoabJF/fI4jfnfP95pIlS39Evj9mcfbHVtX62Vsn++hzo8lKQr7/Hb3bvXZqVwwTtoo2PpN/zmNgVdR8IAyo5vxedxodIGnU+u2vvRr79/VtEga7+lrlPtqZ2amDDu/Dw5Z1ZzpngzHlsN0ZmTSRgxG7W2e+rqxQ6ZSsG+ZfhcdkJHjiPmihtQ+qGwvuRyUrD8IxwHjhF6w1xM86Z2Wmi///e3aXzm0z9tO/xC0D4USiX6/mno+6ch33YV7pw87PuOYtt3BPO+HSg0anQD0jElDcLYdyCayOiAd84R1NGRkAvZ58NRkIvt1FFqc47gKSoFtRr9oL5E/OgGDCMGowoOCoDVgrZwnc6l8t/vojEZGPTSbehiAt9GvT0IsVoP+76jGLIGotR0wgPjZwK9vdXael2NC/PUVFOyeXHdln/fVOKe+1mrHajq18irz7///SGzDp1oMOZSKdsUqrLHS8W/P0R2u0m+42FUev/cxcuSRPHCj5A9bvpPfgSluu3PTUfCAEoOrsXntqM1hp8Xthp9EG7JR//0eQ3apbbVdQpaTrICiI4aRGHxDjxeO6HhqfSb9dMmW/71t+3P2df4/+0NBXDbzJQX7kP2eom98ibCRvunz7S7qpKChW/jrawm6tG7CRo+qNNzKSWJqUdONRib9sLF2VK1N6BQKtH1TUXXN5Xwm67AU1KO48AxHIdOULbqW1ixGFVkOMEp/QlK70dQal/UIb3zi/VipLXvCFmW8VRVYMs5SW3xcZzHspEdLpQhRgxDBxB6zSz0g/t3qkycoPuw7z5E1dsLMPaLZeDz1/dYwf/2IMTq9/hqLHhyC4kaNbWnTel1dFY4nyulVbVlDQqDnsif3ELQhBEd9owY7HY2/fIvRFvtDcYPJ8Ux//knWz1XlmWqPliI60wBKT96GE14RIdfR0tUrF2O/cwp+s9+AF1weJPnz4k7Y0wqtrKz5/9tr6hrTth6nDbSU6afF5vt7ToF5xoCODh9ZhWJCeMoLNrBmbNrURgMuCzlGKNSSBw9H1N832bPr+8VBpr9f3teV23JabI3foBCqSLlx48226azM6En9jOnKPzyfZRGA3G/fgRNQvPxte1l289favB4Q2Zfcro4p6D9aOKi0cRFY5ozBcnpwnUiB8eRU9iPncK8bwcA6rhojIkZGFLSMSSnoQmPEJ7XACDLMp7Kcuy5OdSWn8J1IgdftRmUSnTpKZhmT0E/dADaPond1s1M0HlkWaZ2+QZqFi4n8vKB9PvFFT3SQrUj9G7rAojjew9KUMaAHrbkwkeWZaxHD1K69ht8NRZCZk0m9MoZnbqrjqmoZuczLzfZil0waRTP/PjmNs+vXb4B29a9xF9/R5dqqTbGevwwVZvX1Im7hH6ttrh1n60BWT7/b2uirrH3sj6S5EPyuNBqW6892x4qq05x8vQyZMkLXjsZ0+8hLGVIq1/0jcVzS/9vCVmWKT28noI9ywjqk078jXehDg5p3r4OhJ7IskzNzs2Uffc1+oHpRD5wR5e3GFNLyokzWxqM3f/Yj7o0p6DzKPU6DMMyMQyrC9HymWtxHj+N6+QZ7CdzMO/ZXndcaAi69BSMEanoE1PQJyR1qCufoHl8TgfOogKcBbnYKs/gOp2HZLWBQoE2JYGgMVnoB2ag658uvKe9HNnjwfnlp9SsPkLS7RNIvnsyCmXvv8ETYvV7XCdOo0mOR23suhC4lHEWF1CybhGuk2fQZw0k5qmfdKjbSH2e+mIZj6/Y0HT8nhtZeNmYNs+37z9KzVcriLhsJqYs/5UZcldXUrz4U4IHDCFuSF1cbWOv4zmPKmU061ltifrznKsAkL/zmzoxOHQaCqXq++L9HSetz3TO5K5FodVw4NB7aIzhyF43CSPm4HHUcuiLFxuI7cYCvL4Ij8uafr6bFtCmR9XrdpC95zOsxw8RMWk6UdPntRo33N7QE8nrpWjDF9g27SJk5iTCbp7vl3hkS5CeRWOHofN4mb3/KL+5/RqcOpHo01tQhYZgHDcc47jhAPisNtyn83Bl5+LKyaNy8ypklxsAdUxknaAKTUYXm4AuNh61Keyi98B2ZndClmV8NiuukiJcpYXYLAW4zxbgLa0AQGHQoUtLJnjaeHR9+6DL6OOX5CjRZSoweKtqsPzvXexnKuj3yyuJntb5MKlAI8Tq97iycwlOEV7VzuK1mCnZsRTb1j1o4qOJfvLHGIZ0/vf517cWcOP3LfbqM/7lZyiObnsr311QTOV/P8UwYhBR0+Z22o7GyF4vxV98gEpvoO+oW89/4dX3Op4TnJQ1HO/o1n/+zrqWs7LPUydgD63DGN2HEtsJkuQJrX7ZnotP7ZM8hZCQeEpK91FScRCf10VofBqxUy7HWVNKyaF1oFA0m/h1bixv+1dAnSDtTJ1Ye2Uhpza9j89uI+HWHxMysO2yT+0JPfHWWsj/+l3cZwuIuPcmgiePbpc97aHKFMITD9yOxu1B6/FgM4pkkN6MKtjYwPMqSxLeknJcZwvw5Bbizi2i8sgaZIcLAIVBjyYhBoMpHm1UDNqoGDQRUWjDI1H4IcmvN9Da7oQsSXjNNbirynFXlOGuKMNhKcZTWFrnMQUUOi2a5Hj0g/ujnT8dXVoS6rjobtnWb6sCjKDrOI+fpvqtj1BoVAz52+0E9+9dpana4uL4q+wiks2Ot7QCfTeWrKpPbyvM3xUkl4uqreuo2rYOhVZD+O3XEHz52C55txb86Q0mnDxz/vEbwMuAdP0cFO0Qqr5aG+Wvvo86JpKkOXf69eJavnopzpIiMuc/hlr3w/ZifYF3zqNaX7i2tfV/rqWqKfEHga9UafD5PChUGjT6YOKypqMNMpG95l1Oq78jLXUGKlXTpC6v10nO2TV4PDZOnv4WZBlNkInogZOI7j8OXUhdWZKzmxact625+Ni4rOl1QrVe6ELj41rryCXLMhUnt5O3YzHa6FiS7noAbYR/Cn07CvMo/PIdkOTvC/2n+GXeYLuD3376Lb+890YkpRKPVoOnMyWvBD2KQqlEkxBbF7c8sW5XRZZlfJXVuAtK8BSW4ikqxV5cgOXovvNeWBQKVBFhqKMj0Okj0YSFowkNR20KQ20KRR0SilKn6/VeWcnrJWzUeKp3bCYovT9VW9biqanG6azAW16Ft6IKvL66g9UqNDFRaBJi0E+fgCYpHk1SHOroiIDFm7ZWAUbQNWRJonbFRmoWrSA0K5n+v7oaTdiFd/MtxCrgLigBQB/fvW3FzuGvUlA9iezzYd6/k/KNK5BsdkJmTiZ0/rRmS1F1hNM/eabJh/J5lYoSnw/Vhh0kzm8jLtLro+KNj5FdbpLvfASlzn/xU9ZTx6jevoHksddgjGraBam+R7X+Fnlb8Zznsv4Bqs/uPy8Oz3WFOhc+ABCWMoSkMVeRt3sphWW7CY5JxegzIssydo0Dl6Ucp7kCkEGhIDgmjYThswmJy2jyxdPY69tYbDbe9j83Vv+4lsS4z+Mk+8BCag/tJXTUBGLmXuu3Khvm/bsoWfIF2pQEoh6+q1OF/ptFljnw+O9RShKzDh7DqtMx54WncIjt/4sChUKBOioCdVQE1KsSIcsyvhoL3tKKup+KKrzlVTgrirHmHEWyWBvOo9WgCg1BaQpGFWxEqwxBaTCiMgSh0htQ6g0odTqU2nM/WhRqDQq1GoVKjUKlqruZVyhAoTgvfGVZBllG9vlAkpB9XmSvF8nrQfa4kdxuJLcLyeVCcjnxOexITgc+hx2fzYpbsiJZavFZrEj1klEt+3ag0OtQR4WjjgzHMKQ/6pjIup/YaNSRYT1eiL+lCjCCruGrtWH75CNqduaQeOt4Un40GYXqwkx4E2IV8BSXgVLpN69PW1zILQJlWcZ64ghlG5bgLS4jaNxwwq6fU/cF0LWJOf3TZ5t8ID+aMgZXnyRU7bzrrv58Ca5TZ0i+6yE0Yf7L/PdaaylZ9CnGfpnEDLqs2WOa8062p7NTXNb0855VXUgk9qoCjDGp5889+PkfGgjCuCFTCUsZQuXp3dgrCqjxlAKgUQdjShhA3NDpBMekojO1XpOyPba1dUxzr9leVcSpzR/grbUQf8OdmIaObPH8juwyyD4fZSu/oWbHJoyTRxNx53UoNP67hP3tfwtQSxIAkVY7kVY7DuFVvehRKBSow0NRh4fCwIwmz8seD95qC75qM74aCz5zLT5zLVKtFZ/FhqO2GKnQjmRzIDmc8P1nqNvt1mlRGg0ojUEojUGoQoxoEuNQhQajCg1BFWZCFRaKOiK0y04EQe+hvfG9zhM51LzzMZLbR+YfbiB8bNPP9oWEEKuAr6IaVURowGKVLtQWgfazpyndvAR3di66zL5E/fQWtKn+8UaffODXTT6M1//iPvYM7EsItOuu27p5F9Y1W4mZfwNBqf77w5RlmZKvF4AC+o66hfIT25rd+m5O2LW2Td7ceQc//wPI8nlPKjQvCPWmKBJHNI3FLTu+laJ9K+vWC43p8Gttyd76oQrnGhQ0tl2WZcqPbyV/1zdoo2NJfeAptJGtJ9e1d5fBa62l4Nv3cWWfJfyOawie1nrMboeRZW7Yvr/B0JW/fqTO+yW4pFFoNGhiItHEtN3VR5ZlZJcbyeFCdrnq/u9yI7vdyJ46Tyk+Cdkn1Yna+sJWoQClAoVSBSolCo26zhur1Xz/o0Wp16LQ61Dq9SjUoi3ppUhb8b2y14f5m1V1gnZoMv2euRJddPNVVy4khFgFvDUW1GGhPW1Gr8VZVEDptqU4D51A0yeR6Kd+gmFwf7/MrXW6OPLY/0PbyBuxblBf9gxsvt5nc7hy8qn6cBHGKWMJHzPJL7adw7x7G7ZTx+g78ydoDCEdSjLqaEJSe7yzrQngziRAtef8+qEKzc3tddnJ3vsZ1uOHCRs7mehZV7Vr2789uwzOonwKvnwH2esj5uf3o++f1uHX1RZrfvNKg8cHU+I55Kc4WMGlg0Kh+F5MBq58k8ikv7RoLb7XU1yG5f2PsOeUk3LPZSTePO6C3fZvTK8Tqy+++CJLly5l//79aLVaampqun1NyWZHaWx+m+RCTIbyl82ushJKdyzDsecw6tgooh68A8OoIX4Luv/pkjX8ZtHKJjVUZ/3uZ5zsk9jueXzmWir+8wHalEQSptzoF9ug7vdYsXElPpuN0FHjCUuui3PrSBeqto5trjxUS6WjztGaIG2Pba2J3ZbOrx+q0Pi52pLTnN7yCZLbRcIt9xCSmdXGb+UHzn0+KzevafD4HOZ9OylZ+iXa5HiiHr4TdURYu+duLxOOnKRvSUWDsdt/fj/wvafM4URyulCoVCiDDH4NPRAIuorIpL/w6cgNR3PxvbIkUbt6C5ZFK9DFmBj6zzsI7h/fnSYHnF531XW73dx0001MmDCBt99+OyBrym4PGlXXi5P3Frpqs6u8lLLd32HfeQBVZBgR996IccJIvwbhv/bq+1y1/2iDMRmY+NIvKIppf+yw7PVR8eYnyD6JpGvv8Utv+XNUbl6Dr9YCCiXpmVedH29PrGd7j22uPFTj5xqL0tYEaXts64z3tbl5ZclH0f5VFB9cjSEljfjr70AT2rSTV1s093mVvV6KtizCum4bxsvGEHHHNSi6oQ2y2uNlwd8aXmdeHjecvCVrkfNP48itwGd3N3heGxVCcL9YpD6ZBA0fhLodFSoEAn9zTuDo+qbi4qzIpL+A6coNh6ekHOsnn1J7pJD460aRcu8UVPqLL9a+14nV559/HoD33nsvcIu2Epd2ISZDddZmV1kJZXtW1onUcBPhd15L8OTRfo/lPfDI7whzuhqMSQrIeONFpO/Xau+dZs3C5biyz5J898NoTGF+tdOQ1IdaczUxmZNRabpe+Lo5misPVf+55kRpewRpZ7yn0H4h67RUkL3jE5yF+Rj7ZeIqLcZ28hhhYyZ22LPf+PPqtZjJ/+Y93GcKCL/rum71Fv188coGjx3AL3fsRxsdgmlIEpGT+qGLMaEK0iFLEh6zA2dBFbXHi6lduIyaBd8SMjgRzfhJGMdkdYugFly6tHYdPCdwXJwl8c+/7CELBf6gM6W7ZK+P2pWbMH+zEl10CINfuY3QrKZVai4Wep1Y7QwulwuX6wfxY7FYWjm6KUqtBg+uZp+7EJOhOmqzs7iQ8j0rse85XCdS77iG4MljumW789iDvybI420wJgFpb73c4KahPXeatl0HqF25iZi51xLUJ92vdnrM1VhPHSN01ARSsq7p9DxtJVg1Vx6q/nOdiTs9N19LorO1edsKI5BlmcrsXeTuXIzaGEzKjx+l6MsPG3hGO+rZr/95tefmULjwPRQqJbHPPIAuo08HX3n7OCcCPoqL5iaVgiifDMDEa0cybN4wglKj2kzg8jncVG3Ppuy7w1S9/Tm1Xy0laNplhEyf4JeuPgJBa9dBUZv04qGjpbtcOflYF3yO7Uw5CdePJvnuyRelN7U+F4VYfemll857ZDuD0hSMJ7/YjxZdGNhzcyjfvRrnoeOooiKIuOs6jJNGdUtVhFCLlX1PvkDjQIIDyfFc/f+eaHJ8WxdiT1EpVe9+SdDYYYSNa76UVGeRZZnSpV+h0ulIGzi/S3M1Jxpbi1P1Fy2JzvaI55Zs8TitnN73JdbjhzANH0PsvOtQ6vRNPKOd8ezLskz19o2Ur/oWXb9Uoh64HVVo92Wwmr9ehWSxsrWyhmtSIticV8XW0X0Ienhmu+dQGbRETxtE9LRBOPIrKVq4m7JvV2FduY7gmZcTMnOy6JNeD5EI1HFauw6K2qSXHpLdgXfl15Qu2YcxI4asf9150cWmtoRClmW5uxd59tln+dOf/tTqMceOHWPgwIHnH7/33ns88cQT7Uqwas6zmpycTNJrz7fLw2FeuhbLio30+8Ufen1nkq4iSxK2k0cp370Gd3YumoRYTFdMJWjssG4rDB1Sa+XwEy80Gb/qlw9xsG9qh+eTnC5KX3wNWYa0e570a+F/gNpjhyj67F0ypv2I8NT2Jws1R3Pi8FzdVK0xvEHzgJaO78waLXFubRQKUsZf3+41avKPcmbb5yBJxF51IyGDhrXrvPYguZwUrl6AfddBQmZfRtiN87rts+gprcD57SKqt2WjUCuJnT+ctIdnEFVpoTKq6xVBXBW1FH62g9JlB1AZtATPmUbw9IkoRb1WCv/vJXyVNagiw8S2tUDQAWRJwrZtH7VfLcHn8pDyo8uIv2bkRZHp77W52HndPzGbzZhMLTd4CYhn9emnn+aee+5p9Zj09M5v4+p0OnRdECzapHhkuwNPdWXAGgMEGsntxnJwN5W7N+AtKUfXN5Wox36EIWtgt7bUCzdb2PfUiw1tASa//AsKozv+u5ZlmaoPF+GtrKHPT/0vVCW3m7IVizH2yySsz9Auz9ecp7K+17Ox0OxM8lNHzmktRrY5fG4nOce+wbx3B8Z+mcRdfQvqED91jKIuma/gq3fxVdUQ9dAdBI3u2s1BS0huD5ala6n9bgOasCD+Mak/S5+cg81UVwXEH0IVQBcVQvojM0m8eRwFn2yl7KsV2NduxHjFrLrQmku4NqbYthYIOo4rJx/bV19hPVZE1NSBpD4wDW3khV83taMERKxGR0cTHd16cfCeRNe3DygU2HNOdZtY7akSWB5zDTW7t1KzbyuSzYFhxGAi772p7jV3MyG1VvY3EqoA419+htJOZlDbNu7Evn0f8dffgS46tkPn1uzaSvnaZSBD9Iwrmn0fqrasxWe1kDbzwW7zsjduAlBfaBpjUnGfrcEYk9rgnM4mTDW3NrTdAhbAUpxNzrYF+Bx2Yq+6idCR4/36O7Ec3kfJt5+hjgwj7rePoYnveBOD9uA8egrzJ1/irqgl8eaxLNt1hqFbTvKzLScBePmJOSy5wn+eYgBddAgZj88h4cax5H+wmYqPFuFYsw7j/Ll1uxgB6rnemxDb1gJB+/FW1eD57hvKVx8hKD2awa/cSmjWpVv7udfFrObl5VFVVUVeXh4+n4/9+/cD0LdvX4KDg7tlTaUxCN2AdGqy9xI2ekK3rNFW0ok/xawsyzhyT1NxaBOOfUdQaDUETx5NyMxJqKPb7sLiD27ctJO/vrewoV3AZS8+3Wmh6s4vpvrTbwi+fCymrFEdPr9y8xokh/38/xv/nj3maqq2rCV20OXoTZ2/aenItnxjoWkrO9ukgxV0PmGqOdo63udxcebEUmp2bcHQJ4Pkex5GG+6/z43k9VK8dTHWtVsJGjeciLuv75Yi6pLdgXvJQsq+O4RpWDKD/nADQ51ehn68DeB8fd8t47uvDaEhMZz+v7yKxFvGkff+ZirfWoB95WqMV8zFMHLwJSlaBQJBy0gOF5YV67Gu2ohSryX9Z7OJnZd1UWz5d4VeJ1Z/97vf8f77759/PGLECADWrVvH1KlTu23d4MvGUPnWAlylRehiE/w+f1tJJ/6o5+qz27Ac3EPVga14i8tQx0cTfutVGCeOCmiix5EHfk2wt1HGv6Jpxn9HkJwuKt74GHVsNPGTr+/UHJGTZ5z3rDb3PlSsWY5Spyd+WNfKlNUXlucetzehqbWi/O31nnYFS3E2Z7Z/htdmJWbutYSNnexXQeWpqaLg6/dx5xURfse1BE/zr7f2HI5DxzF/+AU+h5uMJ+YQMy8LlSTz/ryGnaoWXpFFdUT33ATXx5geQ+bz11N7rIi89zZR8fpHGDNiMMybi2H4oIs+Vl4gELSO7PVi3bCD2qWrkRxu4q8bReKt41EbRZImBCjBKtBYLBZCQ0PbnWAFdTXLin/zCuq4aFKuvz/gXx6d9azKkoT9bDZVJ7Zj33MYZAnD8MGETBuPbmBGs6+ju7JydS4XRx7+HY1TSQrDQ5n4l182EKodtaHync+x7z5E6n1PoY3y/3axs6SI3Df+SsqE9icdtUR9z+o54Vo/maozSVTNzV1bkkP12f2Epw4nY+qdXbLZ53aSc3wJ5j3bMPRJJ+7qW9BG+jd0x3ryKMVff4JCryPqoTvQpfm/JqDkdOFZupDSZQcIG51GxhNz0MXUxdg+9a+V3LBk//ljvQq4/Lv/87sN7cFyKJ+8DzZjOZBfJ1rnzqkTrcLTKhBcUsiShG37PmxLvsNVbiF65mBS7p58/rp1sdOrEqwuBBRqFWG3XEnFax9gSd9F6IixAV2/o7VRXeWlWA7uwXxkN76qGtSxUYRdOwvjxFFtlvzpjvZ8wTY7h3/2fJPWqVv7p3HbMw92yQbb9n3Ytuwh7trbukWoAlSuW44mPIKo/uOArgnKxt7Sxh7RziRRnbOpfnKU214Dskz12f1A58VqTf5Rzu5ciM/pIOaKGwgbPcGvokn2+ahYu5yqLWvRD8sk8sc3owoO8tv853CdzsX83ie4K22k/2wWsfOHn79ZU7u9DYQqwE0fPOB3G9qLaWgyQ/5yG+YDeeR/tJWKf39IUGoUhtmzCBo9tNuqIQgEgt6BLEnYdx3Evvw7HPlVREzqR+YLNxCUenEmeXcVIVbrETRiMMbJoylZ+iWa8EiCUrsvlq0zuKsrqT1yAPPJvXjyilAY9ASNySJ40ii0GX3a7Q32d1bu4Jw8lr347ybje1OTmhWqHbHBW15J1YeLCBo/AtOw0V22tTkPtrOoAOuJI6h0QVSc3NHprPzm6Gg1AGhZKJccXAuyDApFE89qZ/A4ask5tJjaI/tRqNVETplF+NhJnX6tza5hrqFwyQe4TucRdtMVhMyZ4vddC9nnw7J0HeZvVxPcP47MF2/CkNiw7euym15r8PhsUjhlsf6pANAVQoelEDosBcvhAgo+2Ublfz/F+u1ygmZOI3jSKNERSyC4yDgvUr9biSO3krAx6fR7Zv4lUy+1s4gwgEbIHi9l/3wX9+lcEq6/i+CBQ7rJynbYIsu4y0qwnjiM5fRB3LmFKLQa9EMHYhw3HEPWgB7/Mrt/yRp+vahhy0oZuPwPT5Eb37Fs/cbIPh+lL7+Bz2Il7ac/R6Xveleg039/Aa+5GnVoOBlP/haAws/exXriCEjS+e36rnhWO0JzNVdbqsPqL5tkWaLi1E7y9yxBoVQiyzKSw97gd+IPrCePUvzNJyg0GqIeuB1dv1S/zX0Ob0U1tR98SO2xIpJun0DyHRObJCIMOFHM24992MDrP2XZ0/h6YRkp66kSCj/bQeWmE2hCgwiadhnBU8ehCjb2tGkCgaALyF4vtu37sK9ag7OgmrAx6STfOZGQTP/nyFxItDcM4JISq+2Nk5TcHirfWoBj72HCxk4mavo8VHpDIEzH53RgP3sae/Zxas8cw1dZjUKnxTB0AIZRQzFkDeyWzOnO8Ie3P+OurXsbjLlVSvq9+cdOJ1LVp2bxSixL15Fy76MYklO7PB809ay6K8s58+rLRKSPwFp6ptvFaWNa86waY1KxlZ3tkk2N53dUl5CzdyGOvBxMw8YQPfsqrEcP+rWsmuzzUb5mGdVb16HPGkjkT27uFrFl332Q6g++RGXU0f/ZKzENSWr2uLiSGmJLLPz7/xagAJ797TVsumyA3+3xJ47CKoq+3EX5qiOgUBA0sa6ahyau95YAvJQR3bkELSE5XVg37cS+ZgPu8loiJvQl6Y4JwpP6PUKsNiNWO9JBRZYkrGu3UfPVChQaNRFjLid01HjUwf4txuu11uIsyMWedwZbcTbuswUgy6hjItEPGYAhayD6gRkoNL0rYuPxxat46tvVDcaqgvSMeLXzbW/r4zqdS+lLrxN5+Wyips7xy5zNUbrsK2oP72fYDb9Bqe4eL3VnPaKtdbrq6BwaYxiR6SMoObIBTXgksfNvxJjer1NztoanuoqCb9/HnVtI2PVzCZl9md+ThiS3B8+3X1C67ACRUwaQ8cQc1MFte93/8qsv0Hh9PPHnW/1qT3fiqbFT8u0+Sr7dh6fGTtjYdDSTpqIf1E8kY/UiRHcuQWN8NRZq127FvnEbPrubqGmZJN48TsSkNkIkWDVDR2I1FUolITMnYRg1BMuStVRuXkXFhu/QDUjHlJSJISUNXWw8Sm37vJw+pxNPdSXuynLc5SXYLYW4cwvxVdUAoAo3oeufTvBlY9AP6huweqid4amFy3l82foGYzIw4p/P+WV+yeWm8n+foU1LIvKy9vdq7/g6Liz7dxE78LJWhWpjsdlR8dk4/rW95/ujXFXc0GkU7fsOn89N6dFNRE6ZRcTkGSjV/v/Trz1ygOIln6E0Goh99iF06f4vYO0pKqXmfx/gKqk5X5KqpRjYsCorv/zbCp79/Q3ISgW/+ONNfrenu9GEBZF81yQSbxlHxfpjFC/aQ83f30GfFI5+8mSCJ41CGRSYXR9By4juXIJzuHML8W1dQ8X6Yyi1amLmZpFw/ehLJru/u7ikxGpnOqiow0OJuOs6wq6fg23XQRz7jlCxYQWy2wOAKjQEVUQoSmMQap8OhVKFLEl41S5khwuf1YbPXIvscJ6fU2kKRpMYR9DYYWhTE9GlpaCKDOv1tRbVbje7n3qR8HqvBaAozMSEV37ll61/gJrPl+KrsZB8y/3dmhVde2Q/kttN1IBxrR7XWGx2NPmqsehs7/kdLfbfGKe5jIryI3hdNoz9MomZd123dGiT3G6KtyzCumEHhlFDibznBr8LKFmWsW3eTc2ni9HFhZH16t2teyhkmSW3/gcFcNen2/jglrHQDQI9UCi1amJmDyV61hBqDxdQ/M0+qr5YimXRcqKmZaIYfTna1KRefw25WBHduS5tZK8X+94juDdvoPZIIbpYEyk/nkLsvGGiTqqfuHCv3gFGaQw6f0GSvV48BSW4C0vxllfiq7Eg2Rx43S6QJFApUajUKKMj0KYlfS9ow1BHhaOOjbogkyX0ThfHH/ldk9JUe9OSue43j/ptHceRk1jXbyfmiuv9XuezMeYDuwlK74e54Hirns7GLVA76vFsb+H/jtCad9bndlJ0YBWlRzehMYWSeOuPuy1R0FVaROHXH+ItryTi7usxThnrd8EkOV04Fy6gau1RYuYOJe3hmaj0rYds/PP/Pjv/Wb3//c2E1Dr594Pd21AhECgUCkxDkzENTcZdZaV0+UFKlx3AveIQxowYtOMnYBw/QnhbBYIA4K2sxrpxJ44tO/BU2zANS2bA764lYkLfS77jlL8RYrUTKNRqtKlJaFObT+joKL09OP+2tVt5+eOvm4w/f/N83pkzxW/rSA4nVe99iS6zL2GjuzfJyVtrwZGbQ+rkmynat7JVT2fjFqhd9Xh29PzmhGlz3llZkqjM3kX+/uVILieRl88iYuJUlBpth21sq0mFLMvU7NpC2cpv0MRGEfe7n6FJ6Fr1h+Zw5xdj/t8HuCpr6ffMfKJnDG7zHKVPYvSBvPOPFcDXVwzzu209jTYimOQ7JpJ063iqd5+hbNkBqj79BvMXS4mY1A/lyEl1jUFEbKtA4Ddkrw/HoeN4d26mZlcOKoOW6BmDibtqhIhH7UaEWO0FdEeRfn9x+9ptvNSMUL37sXvYMDzTr2tVf74UyeYgcc6t3f4Faz15BBQQljIEyedt1dMZqFanLdGcMG1sk6U4m9z93+AqKSRkyAiiZ12JJjS8xTnbEqOttf/12qwUrfwUx4FjBE+fSNhNV6DU+jc5TZZlbBt3UrPgG/RJ4Qz7948wJEW069zFt/+nweOto9IoSOm9MeBdRaFSEjEug4hxGbirrJStOkL5d4dwrPsf2ugQ9GNGY5wwoltuJgSCSwVPcRnWzbtx7tyNp8qGsX8cGY/PIWpaJipDxx0Cgo4hxGovoLcG57/5r3eZe+B4gzEZmPvrRzme7t9Wmc5j2dg27iRm/g1owtonSrqCLfsE+qQ+qHVBbXo6u+pJ7SrNieVzNjlqSjm25R1sJ4+gT0wh5Sc/a1eZr9bEKEDk5BnnxWx9bNnHKfr2U/BJRD32I4KGD+ry62uM5HDhXPgpVeuOETt/GGkPzUCpbd+lavbqw0RW2xuM/fr/Xet3G3sr2ohgkm4ZR+LNY7EeK6Js1WEqNmzFsmwdxr6xaEaOJmjsMNThPd8QQSDo7fisNuw7D+LZvQPriWLUIXqipg8idu5QjBni5i+QXFKlqwTt5+BDvyH0+ySyc5yOiWTGiz9H9ncpIpebkuf+jioijD63PNztXlVZljn9ynPEZIwncdS8Fo8LVGOAzuC2m8k9tRLzvh1oQsOJmjmfkMHD2x0v2pZntTGSx0PF6iVU79iEfnC/upapYf7PbnXnF1Pzv/dxV1rp+8Rcoqa133uvc3pYe/XfG4y9+ORsls0b7mcrLywkt5fqnTmUrzlC9c4cZK8PU1YyqqzRBI0cgsoU3NMmCgS9BsnlxnHgGNLBndTszEGWZcLHpBE9aygR4zPafeMsaB+idJWg0xx45LdNhOriccN4/P7bu2U98zer8VZbSL71gYDE13ktZnw2K8bo1r3D/mq5Wp+uCmCvy07JwbWUHt+MUqMlevbVhI2Z1OFSVGFjJra7AYCzpIiibz/CU1pB2K1XEjJjkt/fp4bb/hEd2vY/x19/9UWDxxaj9pIXqlBXSSBycn8iJ/fHa3VSueUUleuPUf3xYqo/XkxoVjLKISPrhGuof+tICwQXArLHg+PwSTiyi6pt2UhOD8ED4km9fxqRUweiDb/wkqIvNoRYFTRgz+O/J8zpbjC2YnhmtwlVd34RtSs3ETV1brdn/59fs6IUAH1YXLPP1+8gRRl+jVXtrAD2uZ2UHt1IydENyJJExMSphE+c2m2d1c55XvXxSVizj6KJiybut4+iTfJ/15UG2/5XDCP1oemodB2LgVV7fIw4XNBg7IaPHvKnmRcF6mA9sXOGEjtnKB6zncrNJ6ncdJLqT76m+uPFhAxKRDVoGIYRg9HEimQRwcWL5HLjPHwSju2mesdpfHY3QalRJN4yjuhpmegTWo75FwQeIVYFQF0N1f1P/oEQp6vB+LGEWB547J5uWVOWJKo++ApNXBQRE6d2yxrN4bWYATAXHOfk4fVNvJznBCVldLpzVEt0NFnL53ZSemwzJUfXI3s8hI2ZSMTkGX7vpNaYyo2r8NaasZqrCZl9GWHXz+2WLmoNsv1/eSXR0zoXAyspFfz8+evRO908+fpado5IxS7qG7aKJjSIuPnDiZs/HI/FQfX2bCo3n8T89UpqvliGoU8kmkFDMQzLRJuRIqoKCC54fLU2HAeOwfF91Ow9i+TyEpQWTcKNY4icMpCgizgR80JHiFUBV27ZxWvvfNmkhurdP/sRG4b5P4HmHLZNu3Dn5JN876MoAliw3ed0oNBoKT28vlkvZ0uCsqNb+M0d395kLa/LTtnRTZQc34TscRM6cjwRl81AYwrr2IvtILIsYzmwG6/DBkoFITMmEX7Lld2yTmez/ZtDUinZNqEvCknmZL9YCpPEl05H0JgMxMweSszsofgcbmr2nKVqezbVW3diWb4edYiesNFpyBlZ6If0RxUi4lwFvR9ZlvEUluA4eBzp+CFqjxYCEJKZQPJdk4iY1B9DovCgXggIsXqJ89ii5fx8yfoGYzJw30N3dqtQ9Vlt1CxcgXHiKIL6pHfbOq3RkihtSVAW7lmOz22ncM/yTrVZbQ9um5nSIxsoO7UdJImwUeMJnzSt20UqgNdaS9Gaz3HsO4Jx4kjCb7u6W4rL+2Pb/xyxxTV8ct87rJvclz88ezWyUiGEahdRGbTnY1xln4T1ZAnV209Tves0tnWfAWDsF4uq3yD0g/uhy+jTLV53gaAzSHYHzqPZOI6cxHPsGO7yWpR6DWEj+pDxxFzCx6WjjRA3Wxca4gpzCbPxFy/Rp6qmwZgMpL/5IlI3ezrNi1YiSz7iJl7dres0h8oQhOxxE9l3dLdm+Xdky99eVUTB2Y1YDu1FqdEQPnYySr2Bml1b0EbFtjsZCjqe6Q9Qe/QgJcvqEpSiHrmLoJHd0/HKnV9Ezf8+wF1p7dK2/zneffQD9G4vc9Ye58NbJ5IrinL7FYVKSUhmAiGZCaTcexnuKis1u89Ss+cMNVt2YFm2DqVOjWlIEqRlohuYgbZPoggZEAQM2ePFlZOH81g28ulj1B4vBknGkBRB5OT+hI9Jx5SVLLL4L3DEu3eJsvXnfySx2txgTAbS/vtHZJWqW9d25xdj3bCD6NlXd3vsZXNoo2IAcFaXYIxOafd5iaPmdanNamNkSaIm/yjFZzZjP3MKtSmM6JnzCR05HpVez+m/v9BqLdSWaKuGan18dhtFGxZi37Efw8jBRNx1fbeUMpJlGeuGHdQs+IaglMgub/sDjNl5mtBaJwBK4I0nPmLe4ie6bqygRbQRwcTMHkLM7CHIkowtpwzzvlzM+3KxfLsa6cvlqIK0mIYmIScPQNcvDW1qYkDDfAQXN7LXi/tMAc6TOXDmOLVHC5FcXtQhekKH9yH9sSGEjUpDHydqCV9MiCvIJYbS5+PU/b9q8sZnx0Yx48Wfg5/7ujdGlmWqP1uCOiaS8LGT/TZvR7yJ+rhEFFod5sLjHRKr/moO4LZbqDi1k7LT2/Gaq9En9SH+hrsIGZSFot6NQnOF+dvzOlsq6N8Y64kjFC/7HNnjJfKntxA0fkS767R2BMnuwPHlp1RvOEHslcNJe3B6l70cKo+Xf/xmYYOxd++Y0KU5BR1DoVQQ3DeW4L6xJN40Fsnjw3qyGMuBfMwH8qj9djWSy4NSpyZ4QDwk90WX0QdtRgqqYFEKSNA+JLsDV04eruxcyDuJ9VgxktuLKkhLyOAkku+eTOjwFIwZsSiU3fv9Jeg5hFi9hBh+MofFf3qzSSLVfQ/dwcrRWQGxwXnwOK5j2STe9pMGwqyrdMSbqFCrMQ0eRsnRDZSf3EF81oxuL/ov+byYC45RcOQ7XKXFoFQSOmw0YWMmoU9ovt5rc7VQ2/M626qh6rPbKNq0CPu2veizBhJx9w2ow/1f4B/AdbaAmv99iNdsp/9vriFqygC/zPv5PW81eOzQqPj8pnF+mVvQOZQaFabBSZgGJ5F0+wQkrw9bdhmWw/nUHimkdutOLEvXAaBPDEeZkoYuLRltWhLa5HgUGv+27BVceMiShKeoFPeZfFyn85DyzuDIqwAZ1KEGTIOTSL5nMqFZyXXiVCXCTS4VhFi9iJElCW95Fd6ScpQ2B4vf/qyJUJ313OOcTEkImD01Xy5DNyAdY3//Jm+115t4jojJMzDv24nkcvq16H99ZEmitjSH6jP7qcw7gOSwg7JOoKuDTcRdc2uH5+zo62xM7fHDlCz/AtnjJeLemzBOGoVCoaB2/fbzLX9Dpo7v1Nz1kWWZ2lWbMS9chjEjhsEv34w+PqzL8wKYzA7iymsbjN340YN+mVvgP5RqFSED4wkZGA831n0mXCVmao8WUnu8GOvxImp2H0D2+FColASlRUF8H7R9EtGmJKBJikepEz3XL1Zknw9vaQXu3ELcuYUois9izS5FcnpAqSCoTxSmQQkk3DgG06AE9EkR3bLzI7gwEGL1IkNyOOvqyJ3ch3lfHl6Lg0zgaKPjZODeR+4KmFAFsG3dg6eojJT7bvfLRafxlnhH4jq1kdGEDBlB7eF96MNikCXJL0khPo+L2uJT1OQfpfLsfmS3C6U+iLBR4zFljcKRd6ZLYrOjr/McXpuV4g0Lse88gH5YJhF3XdegP7xl2Tp8lTVYlq3rslj11dqwf/oxNTtOE3/DaPr8+HKUGv950b+59d8NHr93yzhqRIeZXo9CoUAfH4Y+PozoGYOBulawtpxybKdKsJ4swXoql5qte5B9EijqPLDG9Bi8ESloEuPRJMaijo4QCVwXGD6rHU9hCZ6CEtwFxShK87GfLUdyeQHQJ4Rh7BdL8viJBA+IJ7h/HCqDuFER/IAQqxcBsteH4/AJpH3bqN5xGtnjw9g/jrgrh3O7082fvtrT8Hig3+t/wKMN3Lab7PFi/mYNhlFDMSS2P060NTqy9d8cCTfeRVV8EuWrlnBk1b9IHjwXU2J/FIr2fxH63E5sFflYS3OorjmNM/8sss+HJiKac25spU5H9Ky6WqW62PhO2dpZZFmm9tBeSlcuBlkm8r5bCRo3vMnNgumKaec9q13BeSKHmnc+RnL7GPjCDUSMy+jSfI0ZtecMGp/UYOx/907x6xqCwKHUqn/wvn6P5PZiz63All2GLacM+5ly7Ps24T2XTKdVY0iOQI5KQBMfgyYuGnVcNOrYKJQBvKYJGiLLMpK5Fk9JOZ7iMjzFZaiqCrHnVuCpsgGgUCsxpEQRlB5N1OUDMfaNwdg3FnWwvoetF/R2hFi9gPGUVmDbtAvH9l14qm0YM2JIufcyoqYMRBcdwpIb/kW4tWFHKi8Qd9vVGAN8Ubdu3oWvqobYW+/325xd3RIHiJg0DX1yKuUrFnNq1Vuogk2ExfbDEJGILjgclS4IhVKJ7PPh8zjxOGpxW6uxestxlZXgqawAZJR6A0F90omefTXGjAFoo2IaeH57Ao+5mqI1X+A8eJygMVmE335Ni5n+IVPHd8mjKvt8mJesxbJkDaYhSfR79kp0Uf6v9FCQEM6hgfEMPV4MwMN/vgVZJFVcVCi1aoL7xRHc74d2yLIs46myYj9TgT23AnteJY68cmxrjp8XsQDa6BD0CeH4QuPQREeijo5AFR2BOiocpTFIbCN3Ednnw1dtwVtRhbe8Em9ZFd6yChQ1pTgKq5EcHqCu5Jk+IQxtSiSxc7MI6hOFITUKQ3IESnX3VpsRXJwoZFmWe9oIf2OxWAgNDSXptedRGi6uOzbZ58Nx4BiebZsw7z2LKlhH9IzBxM7NwphRV5JJ4ZPYMO8VGl8SSsOCiKuxE/Xo3QSNGBw4mz1ein75Z3T900ied3fA1u0IsizjLMil9ugBHLk5uMpKkL2epgcqlKhNoWgjotDGxKGPS0SfmII2KqbXbE3KkkTNri2Ur12K0qAn/M5rW32/uxqv6q2qwfr+h1iOFpJ850SSbpvQrYkPxlony25+lfUT+/Hcb6/ttnUEFwYesx1HQRWOgmqchdU4i8791OCzu88fp9Rr0MWa0EWb8ARFo44IRRUWiio8FFWYCVVYyCUtaGVJQrJY8dVY8NZY8FWZ8dWY8VbWoLaV4yqz4CqvBel7yaAAbWQI+sQwDAnh6BPDMSRFYEiOQBcfJkSpoE28Nhf23AoOP/ExZrMZk6nlRF/hWb1A8JlrsW7ciWPzNtwVtQQPjKfvL64gcsqABt1/lB4vG+f/rUkiVVmEkUn3XAZ/X4Gub5+A2m7bugdfjYWY0XMCum592ir5pFAoMCSnYkhOBerEq89u4+wbr+CrtaAKMZH64M9RGYJ6jShtDldpMUXffYY7J4/gy8cRduO8NrtQdSVe1b73MDUffIFSr2HIX27FNLT5ygb+xBai5/Llv+j2dQQXBprQIDShQZgGJzUYl2UZb60TV0kNzhILrlJzneAqs0DRWWwHrHjN9gbnKNRKNGFGNBFGNGFBeNThKEOMqIKNKIODUBqDUBoNKIMMKIP0KA16FAZ9r7smyD4fksOJ7HAi2RxIdieSzY7PZkey2pFqrfhqbWg8NXhqbHiq7XjM9h+EKHXeUU1kMLroELQxJkIGJdaJ/dhQ9HGh6GJDRaF9QaeQJZmyVYcpfnctxghdu87pVZ+0s2fP8sILL7B27VpKSkpISEjgzjvv5Ne//jVa7aUXbC3LMu6cPHzb11O58TgKlZKo6YOIu2oEwX1jmxw/cctJ/vz84iZC9cPrR/HGgzOoeOYzTEOTA9rXW5YkLCs2YBg5BF10U5sDRUfjWxUKBWpjMFFTZp8XuWpj723RJ3ncVG5YRdW2dahjooh59kH0/dLadW5n4lUllxvPsoVULNlPxKR+ZDw5F43J/61ZAZQ+iXcefo9N4/tSHhXC1nHpVMSIgt+C1lEoFGhMBjQmA8H945s9RnJ7cVfZcFfW4qmy4a624am04a6x4amxo6wpwZNrx2Fx4LU66wL+m0Gp16AK0qLSa1Dqv/9Xp8YtBaHQakCtRqFWoVCr63YdVKo6gatUwrkwlnMe3XObnZIEkowsScheH/h8yD4fsscLXi86lR3J7cXn9CC5PEhODz67G5/DfT5xqamhCtQhBjShdb8XVVgQhsRwNOFBaMKNaCOC0UYGo40KRhMaJEpDCfyO5UgBlf9bRvGRGgbNTWLyAwP573Wr2zyvV4nV48ePI0kSb775Jn379uXw4cPcd9992Gw2XnnllZ42L2DIHg+2nQdxbdqA7VQpuvgwUn48hZjZQ1sUBOO2nuQvzy9uOA8w79OHqI0MwVFYhXlfLhE/vrn7X0A9HHuP4C2rJPGant3+72x8a2ez7wOJLfs4Jd99ibfaTOiVMzDNm9qhXu0djVd15xdjfvdDXMVm0n82m9j5w7p16/S9B98lI7eSfmcqAPj65FD+/PS8bltPcOmg1KrRx4W2q9uR7JPwWp11P7UufFYnXrsLn82Nz+7C53Djc3wvGr8XkEq3G8llR3b4kDw+ZK8Pn9eH7JOQfTJIErIkfy+C6ylhheJ7MatAoVKgUKlQqpUo1CpUGhUKrRrUKtQmA7oYE0qdGpVB+4NoDtKhDtKiCtajNupQh+hRh+hRBelE4XxBj+AsrsHx8VKOrSwkblAYd717Gckjo3BZmwm3a4ZeJVbnzp3L3Llzzz9OT0/nxIkTvP7665eEWPVWVGFdvwP7lh14LQ7CRqcx8IUbCB+T3uoF5tWffczI44UNxmx6NVd8+TO832/TFH+1B3VoEMaxgSn+fw7Lqk3oBqSjT+z+7eHWuBBEZ0fxWswUb1qEfddBdAMziH7ix2jiorttPVmWsa7ZSs2XSzEkR5D177sJ6hPVbesBDD2YR0ZuZYOxd+72X+czgaC9KFTK8yEHAoGgfXgsDgoXbKf06z0YwrRc+fuRDL0qpcM3Tb1KrDaH2WwmIqL1HuIulwuX64esd4vF0t1m+Q1ZknAeOYV3+waqd5xGFaQjZvYQ4q4egSGx7d7po/bkNBGqEjD7m6fOP3ZX2yj77hAhV0wLaJcYd24h7uxcEm65J2BrXgrIPl9dAtX65Sg0aiJ/cgtBE7qnVeo5fOZabJ9+Qs2uHOKvHUWfn14ekHi11575rMHjz68aQUW0/6sMCAQCgcB/+FweSr7eS+lnW/F5JSb+dADj7u6LNqhz3xu9WqxmZ2fz6quvtulVfemll3j++ecDZJV/8NVasW3ejWPLNlzFNQSlx5Dx+ByipmW2uxjyb17+lnlrjzUY86oUzPj6yQZjRV/sRKFWEjI9sJ7F2nXbUEWEEjxgSEDXDTRtJW/5E0feGYpXfYmnoKQuger6OSiN3evpcRw4RvX7n6NQQOYfbiR8bHq3rneOOz/Zhtr3w9aoBPzz0ZkBWVsgEAgEHUf2SZStPEzZJxuwVToZfn0qkx8cSHBk1yozBUSsPvvss/zpT39q9Zhjx44xcODA848LCwuZO3cuN910E/fdd1+r5/7yl7/kqad+8CRaLBaSk3t227k5ZFnGdSIHaddGKrecAiDq8oHEPTOf4MyEdnvGdDYXS295DYPb12DcbNRxxaLHG4y5q6yUfLuP4FlTul3U1EdyuLDvPEDEhGk9kikbSAHZ1eYE7cFrraVk6zfYtu5Bm5pE7K8fQZfWvZ9xyeXGu/wryr/dR9jYdPo+PQ9tgDpFBVscPPTepgZjv3juWuz5VbjLLHjtbhRKBeoQPbq4UHQxpku25JBAIBD0NLIkU7nhOBWfrKMq10rmnEQuf2QQEX38k5gcELH69NNPc88997R6THr6D96aoqIipk2bxsSJE/nvf//b5vw6nQ6drn3lD3oCn7kW25Y9OLdvx1lYjT4pnJR7LyNm1pAOxz8NPJzP/576tEnG/8YJGfzy+RuaHF/w6XYUGhWm2Zd14RV0HPueg8huD6EjxgZ03XP4S0C2R/T6ozlBS8g+H9U7N1OxcQUKpYrwu64jeMrYbr8BcOcWYn73I1ylFtIenUncVd0bZtCYr29/vcHjAo2Cf738DV6X1OzxepOG5BGR+LKGEjGxL9pIESogEAgE3Y0syVRtPUXVp2spP2Uh47JYrv3TGOIyw/y6TkDEanR0NNHR7Uv8KCwsZNq0aYwaNYp3330XZS+rX9deZK8Xx8Hj+PZspXpnDkq1iojJ/cl4cg6mocmd+uIfu+s0f//1wibjf314Bl9dO6rJuLPETOnS/ZiunhUQr2r94vL2XQfRDUhHExre7es2h78EZHtEb3clb9lyTlK6+is8xeUEXz6O0OtmowruXs+mLEnUrtiI+evvCEqNIus/PyIoJbJb12xMaEUtenfD0jtzx0UzdXwsMQNCCUsMQheiQZZkHDVuqvNtFB+pIXdXOQWvrybntVX0GRONdupYIqcMELUgBQKBwM+cE6nVn62j7ISZ1HHRzHt/CknDu+f7old1sCosLGTq1Kn06dOH999/H5Xqhw4YcXFxrZzZkJ7qYCXLMu4zBdi27cW5ex9eiwNj/zhiZg8lenpml/ofv/rUJ4w8XNBk/MZ3fkJxUvMfjlN/XkrNnrPEvvgsSl3316kt/L+X8FXWoAoPxVdjIfaqmwgb2fkWnr2BQIYTnMNdVUHJpq9x7DuCrl8q4bddjbZPYrev662owvrhx1iOFJB48ziS756MUhO4LjSSx0fZdwfxfr6ZDSUOQlQKwn0y7/1pNKfnti/kwWFxc3JNEYeW5JO3uwJDqIbwWcOJu2oE+viw7n0BAoFAcJEj+yQqN5+k5ov1lJ200GdMFJc9lEnKqM5VhnFZPfx10pILq4PVqlWryM7OJjs7m6Skpt1IeiueknJsO/bj3rMHZ2E1mggjMbOHED1rCMa0rpcS+s+jHzDsZEmDMQmY+fXjuAzNhz/YTpdRvuYI4XdcGxChCj8Ul9f1TcW+6yAhA4d2eI5AiMOOrBHIklc+p5OqTauo2rERVUgwkfffRtDY9tUw7UrLVFmWsW3Zg/mzr1GH6Bn8l9sIzQpczLcsyVSsP0bZB2sxF9sZNCeJP/y4P7EDOl7432DSMuy6VIZdl0pVrpV9X57hwOL9FC3cRb/L49DMu5zQ4SkivlUgEAg6gOT1UbH2GFVfbqTqrJXU8dHna6UGgl7lWfUXgfCsekorsO8+hPfAXmyny1AFaYmY2I/oGYPrvgz90flDlll3xStofQ3fohXTBvLCL69u9dSjv/oCZ3EN0b/7BYoA92gu+9d7yA4nqbc/1uFzT//9BbzmatSh4WQ8+dtuEa+N1+hpZJ8P874dlG9YjuxyY5p7OSFzL+/QTcZ5r3ZkGIl//mW7z/NZrDi+WEDV1lNEzxpC2sMzUBsDF/9de6yIiv8upfhINfNHR/Lh6Vr+9e0s3CH+u8HyOLwcXpbP7k9yKM+2EN3XhOmqCURNH9SgVbFAIBAIGuJzuClbcYjKxVuxFDvod3kcE386gMSstktrtocL0rPam5FlGU9eEfb9R/EePoA9pxylTkP4+HSSbp9A2Nh0v3/xrb7yb02E6sfXj+Y/D05v9Tzzvlxqdp8h6qE7Ai5UZa8X1/HTRF42q1PnN4417Y5M++5MiOoIsixjO3WMsvXf4CkqI2jCSMKun4M6IqzDc3WmZap9/1HMH36BLMsM+N21RE7u3+F1O4vHbMf98bccWpxL7MBQ7nznMt5+aAtal8Stv9jJkmeyqEpr+cLVETQGNSNuSGP49ank7qxg1yfZnPrHdxS9u46IuSOJu3I4uhj/rCUQCAQXA+5qGyXf7KVy6R6ctR4GzUliwqv9iOnXM62uhVhtBcnlxnksG+ehE7iPHMFdXovKqCN8bDrJd04ibHQaKn03eGYkiYV3vYHB07A01YfXjuSNNoSqLMmcfXsDwQPjMYzq+DZ8V3GfLUB2uQlK69fiMa15Sxtvu3eHsOwN3aycRQWUbPwa1/HT6AakE/fbW9CmJrV9Ygt0pGWqZHfgXrKQiu8OET4ug4wn56CN8E95kbaQZZny1UcofGs1sk9mzq+HMeKGNEZ/fRbt95n+/beVc+uzu/jPZ/69mVAoFKSOiyZ1XDTV+VZ2L8jh4OLdFH2xgwHT41HNuRzT0CQRIiAQCC5Z7HmVsHwNh77NQ6lUMOy6Poy9qy9hiYEpW9gSQqzWQ/b5cOcW4jx2Gvn0UWqPFiJ7fOjiw4iY2I+ICX0xDU3u3qQTWWbz3FealKb65NpRvPFw21/elRuPYztZQsz/PdAjX7qu7FwUWg36uJYTgjriLW0sLHsi4cmfuKsqKd2xFPuO/ajjo4l67EcYhmUG7L1yHsum5oPP8FmdZDw1l5g5QwO3domZ6tcXcWZbGYPmJTHzF0MJjtSjtXm44fn9549TAJvvavlmxx+EJwcz6xdZTHk4k0Pf5LF7QQ5Vqz4lup+JkHnjiZ6eiSqo95bDEwgEAn8hyzI1e87iWrqRnC2lGKN0TH5gICNvSsMQGpicl7a4pMWq5HDiPlOA6/RZFPmnsBwtRHJ4UBo06GNDUeo0JNw6nqQ7JwbkC/3B11dz56K9TYTqH56ay/K5WW2eL3l85L23ifBx6egHBKbLUGPcZwvQ9klEoWpZ0HfFWxqIAvzdgddaS+XGVdTs2YYqOIiIu6/HOHl0q78nfyK53Hi/W0TZ13sxDUuh79Pz0McFZjtHlmRKluyn4O21GEK13PzaBPpe9kN1j1/MWdHgeFuIhoNXpgTENp1Rw+jbMhh1azpnt5ez57McTr22koK31xIxfSixVw73S5KkQCAQ9DZ8dhdlq49iWbqNyjNWYgeEctUfRpE5JxG1NrAhhG1xSYhVWZLwVdXgKS7DU1CCO78YuTAPR0EVAKpgHSGZiSTdNoHQrGSM/ePYd89b+KxOyr47RPJdk7rdxn8/+gHDG2X8A8z66mfY21nyqnT5AZzFNYQ9cI+frWs/nsJSjIl9Wz2mM9vw5zyqhuRUHNDj8abtxeewU7V1PdU7NoBKRei1swiZMSlgFRoAnKfOYPlgAe5KK2kPzSDumpEolIHzpla+9hW5O8sZcWMq058cgi74h9CZ0V+eIai2YU3VV1bMCYht9VEoFKRNiCFtQgzmYjv7Fp7lwKKjlHy7j8RhERhmjSdyyoDuCfsRCASCAGLPq6Tk231UrT6Ix+mj/7R45v12BMkjI3ttGNRFLVat776Lq8KKq7gG6fsi40qDBmNaDMaRfUi8dRzBA+IxJEc2+fJOvHUchQt2kHjruO41UpZZee0/MDo8DYYlYO7Cx9otVH0ONwUfbyN65hC0SfHdYGjbyJKEp6wSbdaEJs91dfv+nEfVAb0ig78tJJeT6u2bqNy+Dnw+QmZOwjT38sC2vHW5MS/6jtrVmwnJTCTzDzdiSPJPBmdbyLJM2YpD5L+5Gn2ohtvenETa+JjGB3HtC/sbDH3x/0bgDu5ZQRgaH8TURwdx2QMDObm+mP1fniX7lWXkv7GSsKlDiJ2XRXC/9td9FggEgp5G8vio2nIS58pt5O2uIChCx+jb0hl5UxqmuMB9L3WWi1qsgoLQ4Sno52VhSIrAkBKJLrZ9PcTjrhxB3JUjutc8WWbj3L+galQ8zK1WMm3Zzzs0VfGiPXitTjQzr/SjgR1DsjnA60UdGtbkua5u3/eWDP62kFwuqndupmr7OiSXu67z1PxpqEID2/7Tdeos5g8X4Cqz0OenU0m4frR/yqm1A3e1jZp/L+T0xhKyrklh1v9lNfCmnuO2p3Y0CHlx6ZXsvy41IDa2B5VGSeasRDJnJVJdYOPAorMc/Po4B5fsJ2ZAKMbpo4mantnhlskCgUAQKByFVZQuP0jNqv3Yq90kj4zkmpdGM2BmQq/b6m+Ni1qs9v/N1QGtGdkRUnJK+eTB95vEpy6eN5S/PDmvQ3N5a50UfrET45TxqKN6pr0pgGSzA6AyNM0abK/YbMkD2xMZ/B3xBksuZ51I3bEeyeEi+LIxmOZP61QZqq5Q35saPDCBgc9fH9B2qZVbTpH3r6UoFApu+ud4+k1t2cs/eF1xg8dvvn95d5vXacKTjEx9bDBTHsrk9JZSDizOJfutteS+tZZ+l8ejmDKOsNHpAe34JRAIBM3hc3qo3HwS99od5O2uQG/SMPSqFIbfkEp0xoVZpu+iFqu9lfiCSj598P0m49d8eD8VsWEdnq/wi53IXonQ+e2vsdkdyO66UAalpmk8ZnvFZm9KoGqPLT6Hneodm6jeuRHJ7SZ48hhMV0xFHRn4mwbniRwsH32Gu8IacG+qz+7C+d5iTizOPR//ZIxs/UbxN/uvA+Ce+zZRkRpM6cCwAFjaNZRqJf0uj6ff5fHYqlwcWZ7Poa/zKH1uEYZwLaFThhA9fRDBA+N7beyXQCC4+JBlmdqjRZSvPETNpqO4rF76jIni6j+OZuDMBNS6C/tGWojVAJNQUMnnP367wZgMzPv8EWrDOl7HzF1to3jxHoJnTAr4VnMTvv9ylmWp01P0pu3+1mzx1lqo2raBmj1bQJIwThmLae7lAfekAkgOV12m/7f7CBkc2NhUgNqjheS/shhbpZP5/28EWdf26ZBQe++ty7rRuu7DGKFj7B19GXtHX8pOmjm0JI8jy45S8vVewlOMGKcMI3paJobkwHm2BQLBpYWzuIbyNUexrd9HVZ4NU7yB0bdnkHVNH8KTerY2qj8RYjWApJ0u4aOHPmgyPveLR7F2Mu6t6IudKJQKQuZM6ap5XUZpqPOkSU5np+foqYL9zW35N2eLu6KMsgNrsG3bi0KjJmTGREJmTu6xGwXH4ROYP/4Sr9kR8Ex/yeuj4OOtFH66jYShEdz2xkTCk1tvLqByebn3ga18+fuR1KQEphFBIIjpH8qMp4Yy7fEh5O4q58jSfI4v2knBR1uJHRiKfvJwIi8fiD62Z7q/CASCiwePxUHlxhO4N+2hYF8lGoOKATMSmPubEfQZExWw74BAIsRqgHj3vnfon1vRYEwCrvj8kU4LVXe1jZJv9xE8awqq4J6/g1KFhoBCgcdS3dOmdJjWtvxlWcaRe5qKfetwHDiGMjSEsGtmEzx1HMogQ4/Y67PacH+7kPLVRwgd0YeMv9yKPj4sYOs7Cqso/etCio/VMPmBTCb9tD9KddshB0/PX0VouZOfX7UKgMW/ymL3LRndbW7AUKoUpI2PIW18DHN/M5zsTSUcXVFA9oebyP3fBhKGhqOdMJzIKQNEi1eBQNBufHYXVduykbftIWdrKbIMaeOiufrFUfSfnoA26OKWcxf3q+slbJz9ZxpHizh0amZ++1SX5i1auAuFSknIrN6xjarQaFBHR+AqLW774F5Gc1v+ktdL7eF9VO7dgCevCE1CLBH33IBx/EgUmp7505FlGfvug1gWLEby+gLehepcSaq8N1YRHKXn7vemkJjVvpCDzNUFhJbXed3PWXtkVsudzi501DoVA2cmMnBmIi6bh+wNJRxbWcjp9zZw9r/riB8cjnZCFhGT+mNI7LnESIFA0DvxOdxU78xBsWM3pzeV4HVJJA6LYMbTQ8mck0hwZPtKW14MCLHajYRU21h6y7+bCNWiWBM3ffhgl+b2WByUfLOP4OmTUQX3ntI5ur59sOWd6mkzOkz9LX9PTTU1e7ZRs38bUq0N/ZD+hD35Y/SD+/do0oy3qgbHws+p3n6aiMn9SX9kJtrIwG2leywOLK8v5PSaIoZd24dZz2S1+25e7fBy59O7Gowte3wQjohL42KrM2oYfEUyg69IxmX1kL2xhOOrizj90WZy/7eB6H4mdOOGEDGxH8aMGJGcJRBconhtLqp3nEa5ay+nt5TidfqIGxTGlIczyZydRGhC7/m+DyRCrHYTcUXVLLznrSbjy6Zl8uIvr+ry/MWL94AsEzJ7cpfn8ieGYYOwbd2Lq7wUXXRsT5vTbmRJwpZ9nKqjW3EcOIZCr8U4cRQh0yeiifuh3Wbt+u1Ylq3DdMU0QqaOD5ht1nXbMS9ahsqgZcDvriVycv+ArH2Omj1nyfvbN/jcPq7/61gGzuyYR/T63+1p8NitV7LlxwP8aeIFgy74B+HqtnvJ2VrKiTXFZH+9i4KPtmKKNxA0NpOIcRmYspJRasVlWiC4mHFX26jelg2793N2Rzk+j0TCkHAue3AgA2clXlSJUp1FXAW7gcde/Y5bvz3QYEwGlvtJqPocbkq+3kvQ5LGoQnpXkophWCZKUzDlh9aRNP3WnjanTdxVlVj276Tm0E581WY0yQmE33ktxvEjUOqbll6yLFuHr7IGy7J1ARGr7vxirAs+w3q8mNgrh9PnJ5cHtHaw5PaS+85Gir/aTer4aK76/ShCYjsWpxtcamfYyqIGYy+tvcKfZl6waIPU50MFfB6JvD0VnFxXzKkNxyj5ei/aIDVpE2PwDhtG+Jg0tBG96+9dIBB0nLo8iEqqtmfj23OYwoNVKBSQPDKKaU8OZsD0BELjL00PaksIsepnXvjtl0zfkdNgzKtUMH3JU/jU/qlzVvbdIbw2F6bZvSNWtT4KjRrT3Mup+WIZzszJ6OOTetqkJvgcDmqPHaDm+C5cJ8+g0OswjhuG8bKxaFOTWt2CNV0x7bxntTuRXG4s366hduVG9InhDPnb7ZiGBPZ3aTtTTtErC6k6a2Xmz4cy5o6MjmeZyjLPzF3ZYKhwoAm3sWdbqvZGVBrl+eSs2c9mUXbSwqkNxZzeVELh35aDDHGDwlAPzyRsTDohA+MDVkdXIBB0DcntxXwwn+odp3HuPk5NoR2NXkXahBiufH4kfafEERTeO5sY9QaEWPUjj762solQPZkWzb1v3uu3NWSfRNGiPURNGYA6KnC1NDtCyIyJ2Lbto3DxB6T+6HFUQe3bwuhIx6iOIrlcWE8dpSZnL46Dx8Enoc/MIPKnt2AYOQSlrmkjg+YImTq+2z2qjkPHsSz4CnellaQ7J5J487iAdkaSJZnixXvIf2c94clG7v1kKjH9O1dyKbzAjlJq2E/4jY96tnnFhYBCoSB2QCixA0KZfP9AbFUucraUcnpzKWeW7qbgk23oQzSkjo/GM3gooSNT0ceJslgCQW/CWVRN9e4zqA4cIndXBR6nD1O8gb6XxdHv8jj6jIm+4Iv1BwohVv3EC79fxPTNDROL3GqlX4UqQNX207iKawj7yZ1+ndefKNRqoh66g9I//pu8z98k+cb7UAe3XYfU392rvDYrtlPHMOcexHn4BLLHizYtibDr5xI0dhjq8N715e6ttuD69ksqN5wgdEQfBr10E4bEwN6QuCpqqfrXQs5uL2PMHRlMe3xwly6mllg9a3/Sj+lv1/1tvP7eZCSN8AZ2FGOEjqFXpTD0qhQkn0zxkWpObynlzNZSitZ8hyxBeIoRbVY/wkb0wTQsBY2pZ8qqCQSXKl6rE/P+PGr2nsV94BTV+TaUagVJwyOZ/OBAMibHEd03RCRQdgKFLMty24ddWFgsFkJDQxm76PGAxPf95/GPGHasYUxelcnAVV8+5ve1Dv9iAbLHS/jTj/t9bn/jziui7O9vo1CpiJ9/K8a+rSfUdNWzKvt8OIvysZ0+QW3+Mdw5+QBo05IJGjWEoFFDUEf3vm5Css9H7dpt1H7zHUqtmtQHphE1fVDAL2gVG0+Q/+oyVFoVV70wirQJMX6ZVyHJ/GL2CvZencTqnw31y5yCH3Ba3JzdWc6Z7eWc3VFGdZ4NFBA3MAzl4H6YspIxDU0OaKyzQHAp4HN5qD1ahHl/LvLhExQfqT5/45g2Pob0iTH0GRuNToQ9tYjL6uGvk5ZgNpsxmVquPS3EaheILjGz6O43aSwpVkwbxAu/vNLv69lzK9h/3ztE3n8bxnHD/T5/d+CtqqHy7c9xHT+Nfkh/okZOJyi1Lwpl171rktuFs6gAR/5ZrOWncZ06g+xwoTDo0Gf2w5A1AENWZs+3oW0F1+lcrJ99iS2njNj5w+lz7xTUIYEt5+S1uXC8u4hD3+QxYGYC8347nKAwP/zdeL2gFps3gcZcbOfsjnJyd5aTu6uc2jInCiXEDgxDkdkX05BkTEMS0XSyGYlAcKnic3mwHi/GfCAP5fGTFB6swueWCArX0mdMNKnjo0kbF0OYyN5vN0KsdrNY/cVflnLtqiNNxr+ZM4Q/Pd09mc5n/rOG8nXHiP/zr1F0QAT0RLml+pwvZP/tWjyFJajCQwlOz8SQko4uNgFtRCRKbfPvkyxJ+Ow2vJYa3FWVeCrLcZWX4KgsxFtSDrKMQqdFl9EHXf809Jl90aYloVD17jggX60Nz3eLKVt+EGPfWNIfn03IgPiA22E5lE/+X7/GYXYz+9kshl6V0mWPrsoj8avLl1Idb6Am3sC+K/twZG7vS7S7FJBlmep8G3m7K+p+9lZgKXYAEJkegnpAGiFDkggZlIg+IUxsTwoE9fBandQeLcJyuADFiVMUH67G55HQmzSkjIoiZUwUqWOiie5ruihbnAaC9opV4fboBI/9Z3WzQvWW//2EgpTu2WaW3F7K1xwhaPL4DglVCHy5pcYoFAqMY4YRNDoLV/ZZ7LsOYTt6EvOe7T8cY9ChNBhQaOu2S2SvF9npQrI5oN79lNIYhCYhBv2AdLSzL0ObloQmMc4vntpAIEsS1o07qV28HFmWSXt0JnHzhwc8q1vy+Mj/YDOFn+8gaXgkd7w12W/egIduW4fe5iU+u5b47Fp0Nq8Qqz2EQqEgIiWYiJRghl+fCoC5yE7+3gry91WSv+8M2csPAhAUoSMxKxxXen9CMhMI7h+HytC+xEOB4EJHlmWchdXUHi2i9lgh0okzlJ+2gAzGSB3JIyOZ/uQQUkZHEdNPiNNAI8RqB/nwp/8jPa+qwZgMXPnpg9REdl+v76otp/DWOjFOHt3hcwNVbqktFAoF+n5p6PulASDZHXgKS/GWV+Gz1CLZHcgeb92xajUKvRalMQiVKQRVRCjqqHBUwRfu9oorJw/r519iO1VK9Owh9PnJ5WjDA/96bGfKKf7bV1SctjD1sUGMv6c/SpV/LryGKifxpywNxj7+2zi/zC3wD6EJQYQmpDDkyhQAHBY3RQeryN9fReGBKkoWbCXP7kWhhKgME4qMPgT3jyd4QBxBqdEBrUwhEHQXHrMd68kSrMeL0Z7JpuhwNY4aNwBR6SEkDY9g3N19SRoeSXiKUew69DBCrHaANXP/jF5qOFYaaeT6Tx/p9rXLVh0mZFBig25KFzrKIAO6fqno+qV2eo6eDnFoDz5zLZ7vvqbsu0MYM2IY8vc7MA3uWAcofyBLMkVf7aLgvY2EJxu556OpxGWG+XWNZ+Z81+DxnisScYZfGi1VL1QMJi0Zk+PImBwHgOSTqcixUHSomqJDVRQdyePMqsPIPhmVRklMfxNSWirBfWMx9o2pE7Ciy5agF+OxOLBll2LLLsWQl03JkWpqCu0AGEI1xA+JYNSt6SRlRZAwNBy9Sewo9DbEFaYdBFnsrLjxNRr7E964ZzIf3u7feqDN4a62UbP3LOF3XNup83s6DKA76c2vTfb6qF27ldpvV6JQKUl/bBaxVwzrkULuzhIzFf9aSN6eCsbekcHUn3WtJFVzTH3jKBp3w7u5r//fSL+uIeh+lCoFMf1CiekXej50wOPwUnrCTPGRGkqOVVN89DQ5y/YjS6BUK4hMDYE+SQSlx2BMjyEoLQpNuPBGCQKLLMu4SszYcsqx55RhKMih9IQZc1GdMNUGqYkdGEr/afHEDwknfnA44cnic3ohIMRqO1hxU1Oh+uCfb+XQ8JSArF+56QQKhYKgUZ0r+9NbwgC6g9762hyHT2D9cjGOwmpirxhGyj2X9UjdS1mWKfvuEPlvrkZv0nD7fyeTOtb/3nljpZNZr59oMPbua+Px6cQl5mJAY1CTNDySpOE/xOR7HF7KTlkoPW6m9EQNpSeKKdpyAo/TB4AhXEtMv1Bc8ckEpUYR1CcKQ0qkqP8q8AueGjv23ArsZyuwny1HU5hPebYFl7UulMwQpiV2QCgDZyUQNzCM2MwwIlKC/RbyJAgs4pukFYIsdpbd8m9UjeolfDtrUMCEKtSJ1dDhKahCOhffGIiuSz1Fb3ttnpJynN8sonrHaUxDk+j/q6swZsT2iC3uahvm/yzk9IYSsq5OYeb/ZaEP6Z56fz+/omFL1cp4A9mXBb66gSBwaAxqErMiSMz6oXGFLNVVHyg7ZabslIXybAu1B05SumQfsq/uQmqM1BGZFoIrLglDcgSGpLofXYxJtI8VNED2SbjKa3HkV+LIr8KRX4m2pICKnFoc1XXxpUq1gsi0EEL7meg7JY6Y/qHE9g8lOEYvPKYXERelWD1Xjctnd3VpnnfvehOHT8ZRb+zu1+6iODECbF2bu714a51YDuYTfstVSA5nQNYUdA7z16upXbsZbUQwGb+YR8SEfigUCrwB+qzUx3Iwn7N/+xaFAq55eRR9vxeOLqunW9ZzOH3U/3S+/Nl05G5aS9C7MUbqSIuMIW38D00lvG4f1Xk2Ks5YqcqtpTLXiu3oafK+O4DkqbteK9UKQpOMhCcFYYtIJHhAHJET+/fUyxD0ADV7zmA5XIixqoDqfBs1BbYfPh+ausoWhtRghl/fh8g0E5GpwYQnGVE10xXPbfMG2nxBJ3DZ6r4n2qqielHWWS0oKCA5ObmnzRAIBAKBQCAQtEF+fj5JSS2XOLwoxaokSRQVFRESInrw9gYsFgvJycnk5+e3WvRXcGEi3t+LG/H+XtyI9/fipre/v7IsU1tbS0JCAspW6qVflGEASqWyVYUu6BlMJlOv/GMR+Afx/l7ciPf34ka8vxc3vfn9DQ0NbfMYEc0uEAgEAoFAIOi1CLEqEAgEAoFAIOi1CLEq6HZ0Oh3PPfccOp2up00RdAPi/b24Ee/vxY14fy9uLpb396JMsBIIBAKBQCAQXBwIz6pAIBAIBAKBoNcixKpAIBAIBAKBoNcixKpAIBAIBAKBoNcixKpAIBAIBAKBoNcixKogoJw9e5af/OQnpKWlYTAYyMjI4LnnnsPtdve0aYJO8u9//5vU1FT0ej3jxo1j586dPW2SwA+89NJLjBkzhpCQEGJiYrj22ms5ceJET5sl6AZefvllFAoFTzzxRE+bIvAThYWF3HnnnURGRmIwGBg6dCi7d+/uabM6jRCrgoBy/PhxJEnizTff5MiRI/z973/njTfe4Fe/+lVPmyboBJ999hlPPfUUzz33HHv37mXYsGHMmTOHsrKynjZN0EU2bNjAI488wvbt21m1ahUej4fZs2djs9l62jSBH9m1axdvvvkmWVlZPW2KwE9UV1czadIkNBoNy5cv5+jRo/z1r38lPDy8p03rNKJ0laDH+ctf/sLrr79OTk5OT5si6CDjxo1jzJgxvPbaawBIkkRycjKPPfYYzz77bA9bJ/An5eXlxMTEsGHDBqZMmdLT5gj8gNVqZeTIkfznP//hD3/4A8OHD+cf//hHT5sl6CLPPvssW7ZsYdOmTT1tit8QnlVBj2M2m4mIiOhpMwQdxO12s2fPHmbOnHl+TKlUMnPmTLZt29aDlgm6A7PZDCD+Vi8iHnnkEebPn9/gb1hw4fPNN98wevRobrrpJmJiYhgxYgRvvfVWT5vVJYRYFfQo2dnZvPrqqzzwwAM9bYqgg1RUVODz+YiNjW0wHhsbS0lJSQ9ZJegOJEniiSeeYNKkSQwZMqSnzRH4gQULFrB3715eeumlnjZF4GdycnJ4/fXX6devH9999x0PPfQQP/vZz3j//fd72rROI8SqwC88++yzKBSKVn+OHz/e4JzCwkLmzp3LTTfdxH333ddDlgsEgrZ45JFHOHz4MAsWLOhpUwR+ID8/n8cff5yPP/4YvV7f0+YI/IwkSYwcOZI//vGPjBgxgvvvv5/77ruPN954o6dN6zTqnjZAcHHw9NNPc88997R6THp6+vn/FxUVMW3aNCZOnMh///vfbrZO0B1ERUWhUqkoLS1tMF5aWkpcXFwPWSXwN48++ihLlixh48aNJCUl9bQ5Aj+wZ88eysrKGDly5Pkxn8/Hxo0bee2113C5XKhUqh60UNAV4uPjGTRoUIOxzMxMFi5c2EMWdR0hVgV+ITo6mujo6HYdW1hYyLRp0xg1ahTvvvsuSqVw8F+IaLVaRo0axZo1a7j22muBujv6NWvW8Oijj/ascYIuI8syjz32GIsWLWL9+vWkpaX1tEkCPzFjxgwOHTrUYOzee+9l4MCBPPPMM0KoXuBMmjSpSZm5kydP0qdPnx6yqOsIsSoIKIWFhUydOpU+ffrwyiuvUF5efv454Y278Hjqqaf40Y9+xOjRoxk7diz/+Mc/sNls3HvvvT1tmqCLPPLII3zyySd8/fXXhISEnI9DDg0NxWAw9LB1gq4QEhLSJPbYaDQSGRkpYpIvAp588kkmTpzIH//4R26++WZ27tzJf//73wt6F1OIVUFAWbVqFdnZ2WRnZzfZUhRV1C48brnlFsrLy/nd735HSUkJw4cPZ8WKFU2SrgQXHq+//joAU6dObTD+7rvvthnyIxAIeo4xY8awaNEifvnLX/L73/+etLQ0/vGPf3DHHXf0tGmdRtRZFQgEAoFAIBD0WkSwoEAgEAgEAoGg1yLEqkAgEAgEAoGg1yLEqkAgEAgEAoGg1yLEqkAgEAgEAoGg1yLEqkAgEAgEAoGg1yLEqkAgEAgEAoGg1yLEqkAgEAgEAoGg1yLEqkAgEAgEAoGg1yLEqkAgEAgEAoGg1yLEqkAgEPQyPv30UwwGA8XFxefH7r33XrKysjCbzT1omUAgEAQe0W5VIBAIehmyLDN8+HCmTJnCq6++ynPPPcc777zD9u3bSUxM7GnzBAKBIKCoe9oAgUAgEDREoVDw4osvcuONNxIXF8err77Kpk2bzgvV6667jvXr1zNjxgy+/PLLHrZWIBAIuhfhWRUIBIJeysiRIzly5AgrV67k8ssvPz++fv16amtref/994VYFQgEFz0iZlUgEAh6IStWrOD48eP4fD5iY2MbPDd16lRCQkJ6yDKBQCAILEKsCgQCQS9j79693Hzzzbz99tvMmDGD3/72tz1tkkAgEPQYImZVIBAIehFnz55l/vz5/OpXv+K2224jPT2dCRMmsHfvXkaOHNnT5gkEAkHAEZ5VgUAg6CVUVVUxd+5crrnmGp599lkAxo0bx7x58/jVr37Vw9YJBAJBzyA8qwKBQNBLiIiI4Pjx403Gly5d2gPWCAQCQe9AVAMQCASCC4yZM2dy4MABbDYbERERfPHFF0yYMKGnzRIIBIJuQYhVgUAgEAgEAkGvRcSsCgQCgUAgEAh6LUKsCgQCgUAgEAh6LUKsCgQCgUAgEAh6LUKsCgQCgUAgEAh6LUKsCgQCgUAgEAh6LUKsCgQCgUAgEAh6LUKsCgQCgUAgEAh6LUKsCgQCgUAgEAh6LUKsCgQCgUAgEAh6LUKsCgQCgUAgEAh6LUKsCgQCgUAgEAh6LUKsCgQCgUAgEAh6Lf8fjFJBKsb+5hIAAAAASUVORK5CYII=", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "from matplotlib.colors import LogNorm\n", + "\n", + "def plot_gaussian_mixture(clusterer, X, resolution=1000, show_ylabels=True):\n", + " mins = X.min(axis=0) - 0.1\n", + " maxs = X.max(axis=0) + 0.1\n", + " xx, yy = np.meshgrid(np.linspace(mins[0], maxs[0], resolution),\n", + " np.linspace(mins[1], maxs[1], resolution))\n", + " Z = -clusterer.score_samples(np.c_[xx.ravel(), yy.ravel()])\n", + " Z = Z.reshape(xx.shape)\n", + "\n", + " plt.contourf(xx, yy, Z,\n", + " norm=LogNorm(vmin=1.0, vmax=30.0),\n", + " levels=np.logspace(0, 2, 12))\n", + " plt.contour(xx, yy, Z,\n", + " norm=LogNorm(vmin=1.0, vmax=30.0),\n", + " levels=np.logspace(0, 2, 12),\n", + " linewidths=1, colors='k')\n", + "\n", + " Z = clusterer.predict(np.c_[xx.ravel(), yy.ravel()])\n", + " Z = Z.reshape(xx.shape)\n", + " plt.contour(xx, yy, Z,\n", + " linewidths=2, colors='r', linestyles='dashed')\n", + " \n", + " plt.plot(X[:, 0], X[:, 1], 'k.', markersize=2)\n", + " plot_centroids(clusterer.means_, clusterer.weights_)\n", + "\n", + " plt.xlabel(\"$x_1$\")\n", + " if show_ylabels:\n", + " plt.ylabel(\"$x_2$\", rotation=0)\n", + " else:\n", + " plt.tick_params(labelleft=False)\n", + "\n", + "plt.figure(figsize=(8, 4))\n", + "plot_gaussian_mixture(gm, X)" + ] + }, + { + "cell_type": "markdown", + "id": "11feb53b-8b19-4390-8d09-8e5ecb565e97", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "slide" + }, + "tags": [] + }, + "source": [ + "## Anomaly detection with Gaussian mixture models" + ] + }, + { + "cell_type": "markdown", + "id": "3cf47de9-0cc0-4a7e-84a4-4a0f40acde21", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "subslide" + }, + "tags": [] + }, + "source": [ + "GMMs can be used for *anomaly detection*.\n", + "\n", + "Instances located in low density regions can be considered anomalies. \n", + "\n", + "Must define what density threshold constitutes an anomaly." + ] + }, + { + "cell_type": "code", + "execution_count": 38, + "id": "12e7c124-913e-42a6-8e3a-23e586284b52", + "metadata": { + "editable": true, + "execution": { + "iopub.execute_input": "2025-03-07T05:32:26.009077Z", + "iopub.status.busy": "2025-03-07T05:32:26.008900Z", + "iopub.status.idle": "2025-03-07T05:32:26.013481Z", + "shell.execute_reply": "2025-03-07T05:32:26.012915Z" + }, + "slideshow": { + "slide_type": "" + }, + "tags": [] + }, + "outputs": [], + "source": [ + "densities = gm.score_samples(X)\n", + "density_threshold = np.percentile(densities, 1) # Find threshold corresponding to 1% of instances\n", + "anomalies = X[densities < density_threshold]" + ] + }, + { + "cell_type": "code", + "execution_count": 39, + "id": "009242db-3837-403f-ae46-8bcb40c50e9d", + "metadata": { + "editable": true, + "execution": { + "iopub.execute_input": "2025-03-07T05:32:26.015220Z", + "iopub.status.busy": "2025-03-07T05:32:26.015054Z", + "iopub.status.idle": "2025-03-07T05:32:26.907039Z", + "shell.execute_reply": "2025-03-07T05:32:26.906342Z" + }, + "slideshow": { + "slide_type": "subslide" + }, + "tags": [] + }, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(8, 4))\n", + "\n", + "plot_gaussian_mixture(gm, X)\n", + "plt.scatter(anomalies[:, 0], anomalies[:, 1], color='r', marker='*')\n", + "plt.ylim(top=5.1);" + ] + } + ], + "metadata": { + "celltoolbar": "Slideshow", + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.11.11" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/week7/Lecture20_RNN.ipynb b/week7/Lecture20_RNN.ipynb new file mode 100644 index 0000000..b377843 --- /dev/null +++ b/week7/Lecture20_RNN.ipynb @@ -0,0 +1,10247 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "" + }, + "tags": [] + }, + "source": [ + "# Lecture 20: Recurrent Neural Networks" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "skip" + }, + "tags": [] + }, + "source": [ + "![](https://www.tensorflow.org/images/colab_logo_32px.png)\n", + "[Run in colab](https://colab.research.google.com/drive/1vb_GwBXbMQwR8Kd0V0LTwvykwJP9FQlI)" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": { + "editable": true, + "execution": { + "iopub.execute_input": "2025-03-07T05:32:29.429182Z", + "iopub.status.busy": "2025-03-07T05:32:29.428954Z", + "iopub.status.idle": "2025-03-07T05:32:29.435154Z", + "shell.execute_reply": "2025-03-07T05:32:29.434659Z" + }, + "slideshow": { + "slide_type": "skip" + }, + "tags": [] + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Version: 2025-03-07 05:32:29\n" + ] + } + ], + "source": [ + "import datetime\n", + "now = datetime.datetime.now()\n", + "print(\"Version: \" + now.strftime(\"%Y-%m-%d %H:%M:%S\"))" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": { + "editable": true, + "execution": { + "iopub.execute_input": "2025-03-07T05:32:29.467845Z", + "iopub.status.busy": "2025-03-07T05:32:29.467666Z", + "iopub.status.idle": "2025-03-07T05:32:32.146147Z", + "shell.execute_reply": "2025-03-07T05:32:32.145523Z" + }, + "slideshow": { + "slide_type": "skip" + }, + "tags": [] + }, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "2025-03-07 05:32:29.824955: I external/local_xla/xla/tsl/cuda/cudart_stub.cc:32] Could not find cuda drivers on your machine, GPU will not be used.\n", + "2025-03-07 05:32:29.828738: I external/local_xla/xla/tsl/cuda/cudart_stub.cc:32] Could not find cuda drivers on your machine, GPU will not be used.\n", + "2025-03-07 05:32:29.838204: E external/local_xla/xla/stream_executor/cuda/cuda_fft.cc:477] Unable to register cuFFT factory: Attempting to register factory for plugin cuFFT when one has already been registered\n", + "WARNING: All log messages before absl::InitializeLog() is called are written to STDERR\n", + "E0000 00:00:1741325549.852575 7182 cuda_dnn.cc:8310] Unable to register cuDNN factory: Attempting to register factory for plugin cuDNN when one has already been registered\n", + "E0000 00:00:1741325549.857068 7182 cuda_blas.cc:1418] Unable to register cuBLAS factory: Attempting to register factory for plugin cuBLAS when one has already been registered\n", + "2025-03-07 05:32:29.873822: I tensorflow/core/platform/cpu_feature_guard.cc:210] This TensorFlow binary is optimized to use available CPU instructions in performance-critical operations.\n", + "To enable the following instructions: AVX2 FMA, in other operations, rebuild TensorFlow with the appropriate compiler flags.\n" + ] + } + ], + "source": [ + "# Common imports\n", + "import numpy as np\n", + "import os\n", + "import tensorflow as tf\n", + "from tensorflow import keras\n", + "\n", + "# To plot pretty figures\n", + "%matplotlib inline\n", + "import matplotlib as mpl\n", + "import matplotlib.pyplot as plt\n", + "mpl.rc('axes', labelsize=14)\n", + "mpl.rc('xtick', labelsize=12)\n", + "mpl.rc('ytick', labelsize=12)\n", + "\n", + "import warnings\n", + "warnings.filterwarnings('ignore')" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "slide" + }, + "tags": [] + }, + "source": [ + "## Recurrent neurons and layers" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "subslide" + }, + "tags": [] + }, + "source": [ + "Until now looked at feedforward networks where activations flow one way. Recurrent neural networks (RNNs) have *connections pointing backward* as well." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "subslide" + }, + "tags": [] + }, + "source": [ + "### Single recurrent neuron\n", + "\n", + "Simplest possible case shown on left. At each time step $t$, this recurrent neuron receives the input $x_{(t)}$ as well as its own output from the previous time step $\\hat{y}_{(t-1)}$.\n", + "\n", + "Same network is illustrated *unrolled through time* on the right.\n", + "\n", + "\"Drawing\"\n", + "\n", + "[Source: Geron]" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "subslide" + }, + "tags": [] + }, + "source": [ + "### Layer of recurrent neurons\n", + "\n", + "At each time step $t$, every neuron receives both the input vector $\\mathbf{x}_{(t)}$ and the ouput vector from the previous time step $\\hat{\\mathbf{y}}_{(t-1)}$, as shown on the left.\n", + "\n", + "Again, this can be unrolled over time, as shown on the right.\n", + "\n", + "\"Drawing\"\n", + "\n", + "[Source: Geron]" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "subslide" + }, + "tags": [] + }, + "source": [ + "Each recurrent neuron has two sets of weights: one for the inputs $\\mathbf{x}_{(t)}$ and one for the ouputs from the previous time step $\\hat{\\mathbf{y}}_{(t-1)}$. Let's store weights for the entire recurrent layer in two weight matrices, $W_{\\mathbf{x}}$ and $W_{\\hat{\\mathbf{y}}}$, respectively.\n", + "\n", + "Output of a recurrent layer (for a single data instance) is given by\n", + "\n", + "$$\n", + "\\hat{\\mathbf{y}}_{(t)} = \\varphi \\left(W_{\\mathbf{x}}^\\text{T} {\\mathbf{x}}_{(t)} + W_{\\hat{\\mathbf{y}}}^\\text{T} \\hat{\\mathbf{y}}_{(t-1)} + \\mathbf{b} \\right) ,\n", + "$$\n", + "\n", + "where $\\mathbf{b}$ is the bias and $\\varphi(\\cdot)$ is the activation function." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "subslide" + }, + "tags": [] + }, + "source": [ + "### Memory cells \n", + "\n", + "Since at time step $t$ there is some memory of previous states in the system.\n", + "\n", + "A part of a neual network that preserves some state across time steps is called a *memory cell*." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "" + }, + "tags": [] + }, + "source": [ + "A cell's hidden state $\\mathbf{h}_{(t)}$ that stores memory need be the same as the output of the cell.\n", + "\n", + "\"Drawing\"\n", + "\n", + "[Source: Geron]" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "subslide" + }, + "tags": [] + }, + "source": [ + "### Different types of RNN\n", + "\n", + "RNNs can be configured for different input and output sequences.\n", + "\n", + "- Sequence-to-sequence (top left), e.g. past stock prices to future stock prices\n", + "- Sequence-to-vector (top right), e.g. sentiment score for movie review\n", + "- Vector-to-sequence (bottom left), e.g. image to caption\n", + "- Encoder-decoder (bottom right), e.g. language translation" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "" + }, + "tags": [] + }, + "source": [ + "\"Drawing\"\n", + "\n", + "[Source: Geron]" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "subslide" + }, + "tags": [] + }, + "source": [ + "### Training RNNs\n", + "\n", + "RNNs can be training by *backpropagation through time* (BPTT). Consists of unrolling through time (as we did above) and then training by regular backpropagation.\n", + "\n", + "- Consists of forward pass to compute cost function for outpus.\n", + "- Then propagative gradients of cost function backwards through the unrolled network.\n", + "- Update model parameters using gradients." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "" + }, + "tags": [] + }, + "source": [ + "\"Drawing\"\n", + "\n", + "[Source: Geron]" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "subslide" + }, + "tags": [] + }, + "source": [ + "Since the same weights and biases are used at each time step, backpropagation does the correct thing and sums over all time steps.\n", + "\n", + "TensorFlow can handle all of this for you." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "slide" + }, + "tags": [] + }, + "source": [ + "## Basic example of time-series forecasting" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "slide" + }, + "tags": [] + }, + "source": [ + "RNNs well-sutied for time series modelling, e.g. such as stock prices, air temperature, brain wave patterns, and so on. \n", + "\n", + "We will train an RNN to predict the next value in a time series. " + ] + }, + { + "cell_type": "markdown", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "subslide" + }, + "tags": [] + }, + "source": [ + "### Generate dataset\n", + "\n", + "We will generate a mock dataset consisting of lots of time series, each with 51 samples. \n", + "\n", + "We will attempt to predict the final value (hence the target will be the final time series values, which will be removed from the feature matrix)." + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": { + "editable": true, + "execution": { + "iopub.execute_input": "2025-03-07T05:32:32.149141Z", + "iopub.status.busy": "2025-03-07T05:32:32.148823Z", + "iopub.status.idle": "2025-03-07T05:32:32.153039Z", + "shell.execute_reply": "2025-03-07T05:32:32.152452Z" + }, + "slideshow": { + "slide_type": "" + }, + "tags": [] + }, + "outputs": [], + "source": [ + "def generate_time_series(batch_size, n_steps):\n", + " freq1, freq2, offsets1, offsets2 = np.random.rand(4, batch_size, 1)\n", + " time = np.linspace(0, 1, n_steps)\n", + " series = 0.5 * np.sin((time - offsets1) * (freq1 * 10 + 10)) # wave 1\n", + " series += 0.2 * np.sin((time - offsets2) * (freq2 * 20 + 20)) # + wave 2\n", + " series += 0.1 * (np.random.rand(batch_size, n_steps) - 0.5) # + noise\n", + " return series[..., np.newaxis].astype(np.float32)" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": { + "editable": true, + "execution": { + "iopub.execute_input": "2025-03-07T05:32:32.154815Z", + "iopub.status.busy": "2025-03-07T05:32:32.154642Z", + "iopub.status.idle": "2025-03-07T05:32:32.182691Z", + "shell.execute_reply": "2025-03-07T05:32:32.182084Z" + }, + "slideshow": { + "slide_type": "" + }, + "tags": [] + }, + "outputs": [], + "source": [ + "np.random.seed(42)\n", + "\n", + "n_steps = 50\n", + "series = generate_time_series(10000, n_steps + 1)\n", + "X_train, y_train = series[:7000, :n_steps], series[:7000, -1]\n", + "X_valid, y_valid = series[7000:9000, :n_steps], series[7000:9000, -1]\n", + "X_test, y_test = series[9000:, :n_steps], series[9000:, -1]" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": { + "editable": true, + "execution": { + "iopub.execute_input": "2025-03-07T05:32:32.184613Z", + "iopub.status.busy": "2025-03-07T05:32:32.184306Z", + "iopub.status.idle": "2025-03-07T05:32:32.189025Z", + "shell.execute_reply": "2025-03-07T05:32:32.188431Z" + }, + "slideshow": { + "slide_type": "" + }, + "tags": [] + }, + "outputs": [ + { + "data": { + "text/plain": [ + "((7000, 50, 1), (7000, 1))" + ] + }, + "execution_count": 5, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "X_train.shape, y_train.shape" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": { + "editable": true, + "execution": { + "iopub.execute_input": "2025-03-07T05:32:32.190750Z", + "iopub.status.busy": "2025-03-07T05:32:32.190580Z", + "iopub.status.idle": "2025-03-07T05:32:32.583473Z", + "shell.execute_reply": "2025-03-07T05:32:32.582786Z" + }, + "slideshow": { + "slide_type": "subslide" + }, + "tags": [] + }, + "outputs": [ + { + "data": { + "image/png": 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pWlr9JUbFZ0d1Ltvuv2I8XVcEQUiSmjYjWrrNiJAzKM5LxPljkvBtaTO2nW4iscDHuBMMeKHgsceA3//eM7FAUp4FBBEImjpNOFrTAQBYMTML88ZyZYu+OO466CMIIjTR6Y3YdKAGy1/ajXq9CWNSorHl9xfi+1WL8cv5eQCAr0uaUNMmjTruRODpMFjw3v5qAMBzK6ehKJ0bKFP+LkEQUuVgNVc1bnKmBqoIOS6ekAoA2OZYhCN8S38PA6WyTyjwxvyQxAKC8BK+QzsvS4PUOBWWTtECAL44RmIBQUiBjfurMf+pbfjTpmNo6bYgLU6Jjbefj7Q4FbQaNR5aNhGz8xNhsNiw5qPjbv1vCGI43tpTBYPFhgnaOFw9LQO/nJ8PANh0sJauKYIgJAnvVzAzJwEAsGh8qrBdb7AGrV1SZu1aIDISsFi4/3pbJYHEAoLwkq9LOLHg4glpAIDLJqVDLmNwsr4TlS09wWwaQRCjZGDVAwBo7jKj124XXstkDJ6+diqUChl2nm3BpoO1QWgpEcqYrDZs2F0JALjjojFgGAZXTEmHKkKG8uYeHHFErxEEETh0eiN2l7VQNRI/wvsVzMzlxILsxCgUpsXAZmfx7VnXinPE6Hn88T6hwGIZvkrCQEgsIAgvMFlt2HWO68z40KnE6EhKRSAIieDOnd7OApUtzukG+cnRuGdJIQDg0c9OYsvxehpgEh7zwYEatPZYkJWgxjJHdFqsKgKXT0oHAHx4iAQogggkfETZ9f/ai/lPbcNGR4oQ4Tu6zb0409AJAJjhEAsAYFGRIxXBYR5O+I7+HgVms+dlFftDYgFBeMHu8jaYrHZkaFSYqI0Ttv9oKqUiEIQUyE+OhmxA9abB3OlvvSAfmfFqdJttuPPtwzTAJDyi12bHv3ZWAABuu3AMFPK+odjymdkAOONDk9UWlPYRRLgxMKLMzgKrNx9HTVuP8D5FHIyeozUdsLNAVoIaaXEqYftiRyrCt6XN5NniQ/oLBXzqQX8Pg6ef9uw4JBYQhBdsO81HFaQ51YO9dCKXinBK14ny5u5gNY8giFGi1ahx6wX5wms5w+DJaya7dadv7jajvt/g0c4CazafoAElMSTv7KtGdZsBGpUC183Kdnrv/LFJ0GpU0But+KaEDL8IIhAMFlG2+NlvseCZbZi3jiIOfAHvVzAjJ8Fp+8zcBMSpFGg3WHGkpj0YTZMc7oQCHl4w8KQSAkBiAUF4DMsCO844pyDwJERHYv64ZADAFkpFIIiQJjWWW/EozkvArlWLsLI4x+1+FS09GOhDZ2NZl5QFguB5b181/vzJSQBAp6kXnx6tc3pfLmPwk+mZACgVgSAChbuIMgCw2lhUtxnBd/MkCI8Owdww11ksUMhluMgRXUAi6ejQ6Y247Y89w1Y9WLsWWLPGs2OSWEAQHlLbAzR2mREVKcfcMUku7/+Ir4pwvCHQTSMIwoecqNcDAC4qTBmy3r03KQsEodMbsfqj48JrFu4nHtfOzALAheQ2dZkC2USCCEu0GjWumKwVXssZBuuumYK/rpjqsi8JwiPDbmdxqNq9WAAAi4tSAFAJxdGwcX81Jl5ZjVf/Fo34C8+g8PKho2AeeMCz45JYQBAecrydu10uLEiGKkLu8v6lk9KgkDEo0XVi08EaUp4JIkQ5Wc8ZME3K1Ay5n1ajxrprpqBfRtKgKQsE8V1ps0eRKGNTYjA9Jx42O4v/9/VZepYQRABo7TEDAG4+Pxe7Vi3Cz2bnYP64ZKf+HSBBeKSca+5Gl6kX6gg5itJjXd6/qDAVMgY43dCFT4+SYbC38L4brJ2B5oIz0Mw757MoGBILCMJDTrZzT4xLHCUTBxIfFYkxKdEAgD99cIxy2wgiBDFYelHm8B2ZlBE3zN7AyuIcbLilGAAQo5S75KATBADUdxjx1y9LXbYPNvHITeS2vb23mp4lBOFn9EYr9ldyq96/vCBfEHy1GjVWXV4k7CdnSBAeKXwKwrTseCdTV57E6EhkJ3D93u/eJcNgb+F9N+IvOIv4+ecA+C4KhsQCgvCAo7V61PZwYgFf4mUgOr0RZxv7zA0pt40gQo8SXSdYFkiNVQreBcNx/thkRMgZdJttqG2n+51wRm+w4uZ/70NztxmpsUohdWUw80yd3ohPj9YLr+lZQhD+5TuHC/+41BjkJkU7vffLC/LBBxd8/Nv5g3rYEEMzmF8Bj05vRHVb38SW+j3v8GdapGLURyAIibNxfzVWfdiXZ/pNSaPbh0VFSw8GFnzhVT1SoQkiNBBSEDyIKuCJVMgwPj0WJ+o6cbJej+xEClEluMHvmYYu/G3rWZxt6kZanBKb75wPGQNUthiQlxzl9tngzpmdniUE4T/4PPmL3SwGRchlSI1TorHTDLBuXBAJjzg0jFhAY+jRodWocfuCMXjp23IAQ1dy8hYSCwhiCIQcoH7b1mw+gQVujM94Va//IE/GgHLbCCKEOFHHmRtOHsavYCCTtBqHWNCJy/sZZRHhycb91U5125UKGTb8YjYy4/vCmwfD3bOE8qQJwj/Y7Cy2n+HEgsWDRI6mx6nQ2GmGTm/ElCzvng0E0NZjQXlLDwBgek68232o3xs9eY6omKlZGrz885k+E1koDYEghmCoFZ6B8GZn8n7Cc3ZClMehzET4odMbsbushcLsRERfZIF3A8LJmVwkAi82EOELLzL3f3ZYbXbER0V49HkyziSIwHG4uh0dBiviVIpBV73TNdw4rrGTqpOMhMOOKghjU6IRHxXpdh+tRo0nfzJFeC0jfwivOdfEpULPzE3w6d+NxAKCGAJvc4BWFudg16rF+PvPpiEqUo6qNgNe3VkegJYSocbG/Zxx2fX/2ktGPiLB3GtDaWMXAO/SEABgokNc4MUGInxxJzLbWXhlNLWyOAf/umkWACApOpLypAnCT3zjSEFYOD7VrfEewEUWAIBOT2LBSPj2TDMAYILWtQpCf346Owf5jvH1s9dNo37PS3hz5nGpMT49LokFBDEEWo0av7pwjPDaE6VTq1HjqvMy8ciVkwAAz35VijMNXX5vKxE6DFx5JCMfcXC2sRtWGwuNOgJZCd6p8hO0sZAxQFOXGU1dNKAMZ3xlNDUnPxEA0Npjgd5o9VXzCILox7YSh1/BBPcpCACQ7hjzNVBkgdds3F+NN3+oAgB8caxh2IWRMcncRLfH3Ov3tkmNsmYu1WNsCokFBBFQsh2ThrwYO3bcu8BjpXPFrCwsLkqFxWbH3e8ews6zzTQZDGP4lIPqth68/UOVx+ktROA4Wc/7FcSBGVhcexiiIhUY43hAU3RBeKPVqHHjnFzh9UiNpmJVEdA6wp/58FKC6A9NXkdHbbsBZxq7IGOAiwpTBt0vXaMEADRQZIFX8AsjPCyGXxjhDYJr2mk85A0mq034m5FYQBAB5owjLHlsHISBmycwDIOnrpkCdaQcpY3d+Plr+yjcPEzpn3Kw4Jkd+Of2Mrf7nWmgSWYwOVE3Mr8CHj514RSJBWFPfDSXl7ugMBm7Vi0acTgtH056romi0whXlv1jN40pRsF2RwrCrNzEQXPpASA9jiILRoI3vl88fFRfbRstrnlDRUsPWBbQqCOQHDP4tTwSSCwgiGEobeRWdLRRA4u6DI+NZWGy2ITXFG4efrgzOwOAC8clu4QqP/LZKfzli1Ooaesh48MgwEcWeOtXwDPZITKQySFxynEtLRqfOiqjqT6xgCILCFdoTDE6eL+CxUOkIAB9BocNehNY1vuxYLiSnxyNgUF6w6VkZSVw79VSZIFX8H4FY1OivY6MHA4qnUgQQ8CyLM46IgvS1d4/IKhuLOFOWQeAOxeNwzMrpqKyxYDsRDXe3VeN57eX4V87K/CvnRUAOI+MdddMIZOfAGCzszil4yICvC2byMOLDJSGQIy0qsZAClI5Q7CzJBYQg0BjipFhsPRid1krAODiQUom8vAGhwaLDZ2mXmjUnlU2CXe0GjUum5SG/51oBOBZSlZ2IvdeTTsJYN7AC8q+TkEAKLKAIIakpduCdoMVDAOkjeA57CujKyJ0GUpZ12rUOH9sErISonDfZUV44urJTvvRqlHgKG/uhslqR1SkHPmOWsXewk8Mq9sMZEgXxrR2mwXX9IkjjFLh4SMLzjaSWEC4h8YUI+P7c62w9NqRnage1j1eHSkXBAIqn+gdURHcuvR1s7I8SsniPQvaeixkcugFvLmhryshACQWEMSQ8FEFOQlRiJR7/3mql01oNWpcOjFNeD2Usj4mxXWSSsaHgYFfCZ6ojYNsoMLnIZqovioK5FsQvvDXUn5yNGKUowvgLHAM/Oo6jDBYaOBMuEJjipHx+bE6AMDc/CSPwrZ5zyoqn+gdpQ6/lcVFaR5dp3GqCEGYIZNDzymjyAKCCA68uWFB6shWGgGuXvYz104FAIxPj6GQ8jAkUsEpTT8tzh5SWadIlODB+wyM1K+Apy8VgXwLwhVBeBrltQQACdGRSHKYJZY19Yz6eIS0kDHAT6ZnBbsZIcd7+6rxyREdAGDToVqPTCLTHKkIjSQWeIzdzgrh8YVpnk9iyeTQO+x2FuUtDrGAIgsIIrDw5oYFo7z5pmbFAwAaO82jbRIRgvBVDi6dNLSyzkeiyB2rHCMtuUZ4j5BjPkK/Ah7e5JB8C8KX0RplDkQwOWymigiEM3YWqGwlEckbdHojVn/Ur5yfh+l+FFngPXUdRpisdkTKZchJ9HzRIzuByid6Q/+/M1/u3ZeQwSFBDAGfhlCQFgPUjvw4mY6bt8NgRZfJilgVmeOEC5ZeO8oduWTj04efPKwszsGCwhRUthgEXwPCv7AsixOOCd7kURrSTcqkyIJwhxeKRnst8RSkxWBvRRv5FhBuOdvYjcK02GA3I2TgS8z1xxOTSD6ygMonek6pYww9JiUaCrnn69OCySFFFngEXwkhLznKq7+zp0gussBsNuOBBx5ARkYG1Go15syZg61btw77uUceeQQMw7j8U6lUbvd/7bXXMGHCBKhUKhQUFOAf//iHr38KEWRYlhU6utFGFsQoFUiI4gSCug7q/MKJsuZu9NpZxKoUyNC4708GwhsfklAQGGrajOgy9SJSLuOEwVHATxDPNXXD2K9sKhEedJt7UdHCiYM+iyxw5KBSRQTCHVRW0zvyk13TSj1J99MK5RNpDOcpfJ9V4KWYxZscUmSBZ/Dmhv7wKwAkGFlwyy23YNOmTfjDH/6AgoICbNiwAUuXLsX27dtxwQUXDPv5F198ETExfX9sudzV1e7ll1/GHXfcgWuvvRb33HMPdu7cid/97ncwGAx44IEHfPp7iODR1GVGp6kXchmD/ORolI/yeFkJUWg36FHbZkSRByvMhDQ408AJTkXpsT6vfUv4Bj4KYHx6LCJGqcqnxqmQHKNES7cZpxs6MT0nwRdNJEKEEkf5zfQ4FZJilD45Jj/QLqNJIeGGs02UnuIN8epIyBkGNkd4gafpfmm8WEDppB5zdoSpvIJnAZVP9Ah/lk0EJCYW7Nu3D++99x7Wr1+PP/3pTwCAm266CZMnT8b999+P3bt3D3uM5cuXIzk5edD3jUYjHnzwQSxbtgybNm0CANx2222w2+14/PHHcfvttyMhgQaHUoCf5OUmRUGpGH0QTlaCGsfr9KglpTSsOO24jsanU5ioWPmhnKu1PSbFN0aSkzPjsONMM07Uk1gQbvBGmZMzfScI8wPtytYemHttUCpGUJqHkCwUWeAdeytaYWNZpMep8NzK85CXHO1RFB9FFngPL2R5Y24I9HkW1LYZwLIsLbQMA5+G4I+yiYDE0hA2bdoEuVyO22+/XdimUqlw6623Ys+ePaipqRn2GCzLorOzE+zAhCYH27dvR2trK+68806n7XfddRd6enrwxRdfjO5HEKKBT0EY76NcQFJKw5PTDnNDT/wKiMCzcX813thTBQD49IjOI1fs4eDDz0+Rb0HY0VcJwTd+BQCQEqtErErBmdlRGVViAOUtPei12YPdjJBh59kWAMDC8Sk4f2yyx+l+2jhuv3aDFSYrpZgNR/9KCONSvRtHZznEgi5zL/RGq8/bJjXKm/0bWSApseDw4cMoLCxEXJzzoHz27NkAgCNHjgx7jDFjxkCj0SA2NhY33ngjGhsbXb4DAGbNmuW0febMmZDJZML7ROgjhE/5TCxwKKUkFoQV/dMQCHGh0xuxenM/V2x45oo9HJOoIkLYIlTV8JFfAQAwDCNEF1DIOdEfZYQMll47amhc4TE7zzYDAC4sSPHqc3FqBVQR3LSpkUwOh6Veb4TBYkOEnEFukndRe+pIOZJjuJKxZHI4NB0GC1q6LQA4I0l/IKk0BJ1OB61W67Kd31ZfXz/oZxMSEvDb3/4W559/PpRKJXbu3Innn38e+/btw4EDBwQBQqfTQS6XIzU11enzkZGRSEpKGvI7zGYzzOa+XKfOTm5QYbVaYbWSciY2zjRy52dsklo4P6M5T+lxjo6vvYfOt5/xxfnyBXqjVSizNCZR5fP2BPv3+ZJg9I/nGjphd+OKXdbYieSokT8ex6dyA6OT9XqUN+oFsyapIpb7LdiYe+1CBZ2i1Cif/j3GJEfjUHUHzuj0uGyCd5OcgYTT+ZLKbxysf8xLVONsB4vT9R3I0kQGq3khQ0OnCaWN3WAYYHauxuvrIz1OhcpWA2pau5ER5/nfO5zuOZ6S+g4AQH5SNGC3wWr3LhojM16Nlm4LKlu6UJQWuGdoqJ2rMzouglGrUSFSxnrVbk/3lZRYYDQaoVS6GgrxFQ2MxsHVqd///vdOr6+99lrMnj0bN9xwA1544QWsWrVKOEZkpPsOQqVSDfkd69atw6OPPuqyffv27YiKkvZgMtRgWaCkXg6Age7MIWx1ZLB4UlljMOoNAKBARVMntmzZ4otmEsMwmvPlC8o6AUCB+EgWu7b7vi0Gg3RCkoPRP3aYAQZysOjLh2TAouzID2gtGflx9zQyAGSw2Rlc/NxOrBxjx/lp7lPbpESw77dgU9MN9NoViFKwOPz9dhzxYZqttZUBIMeuY+cwzlTqk2OGw/mSSh85WP+o7u0CEIMvdh2EpUL6fcxo2dvE3Uc50Sx27/D++ldYZQBk+PK7vWgt8f7vHQ73HM+2eu5vHW0b2ZhXbuT+1l/vOQR7VeCv7VA5Vz84ruk4GLz+O3vaP0pKLFCr1U7KK4/JZBLe94brr78e9957L77++mtBLFCr1bBYLG73N5lMQ37H6tWrcc899wivOzs7kZ2djUWLFiEpKcmrthH+pb7DCPMPO6GQMfj51ZeDYW3YunUrlixZgoiIiBEds9vci6ePboOhl8GFiy9FrEpSt5+osFqtoz5fvuDtvdXAydOYlpeCpUtn+Pz4/OqSFAhW/3jYdhwfH9UBAGQM8MSPJ2HFzKwRH0+nN+GPz34nvGbB4P0KOe68ZoFgkCU1xHK/BZv3D9QCx09hWk4Sli2bNfwHvCC6tBmfvHUYPfI4LF06b1THCqfzJZU+crD+8fyJ+Ti2rxmKhCwsXToliC0MDb7+4BiABiybORZLLxnn9ee3GY7j3FEd0scUYemF+R5/LpzuOZ7vPjoBVNXjwqkFWLp4rNefL4k4i0PfVSAmLQ9Ll07wQwvdE2rn6viXpUBZJWZPyMPSpUVefdbT/lFSsxWtVou6ujqX7TodNxDMyMjw+pjZ2dloa2tz+g6bzYampianVASLxYLW1tYhv0OpVLqNfIiIiAiJCzKcKG9rB8Dl/0SrlUKozmjOVUJEBBKiItBusKKpx4rEWO/EK8J7gn1vnW3mVNsJGRq/tENK/Uaw+sfEGG4Cv3RyOtZeOdFjs6vBqNXrXVIb7CxQp7cgJ1navhXBvt+CzelGrtb1lKx4n/8dxmvjAQCVrQYwMjkUoyzxCYTH+ZLK7xusfxyXFgugGWUtBsn8Vn9ht7PYXcaN5xcWpY3o76WN56LcmrutI/p8ONxzPOcc45+iEY5/cpI4n5Z6vSkof7NQOVcVDtPbwrRYr9vr6f6SMjicNm0aSktLXZSSvXv3Cu97A8uyqKysREpKX34gf4wDBw447XvgwAHY7Xavv4MQJ3zeqa/MDXl4k0MybAkPyNxQ/PAlhy4sTBm1UAAA+cnRkA0IP5czDPKSKdVM6pxwVL+Y6ENzQ57MeDXUEXJYbHZUt0kjtJ4YPWOSOUOzsuZu2AeqlIQTp3SdaO2xIDpSjuk58SM6Rl/5RDI4HAqWZXGOH0ePsJxfdiL3PCbzzqHhxzBj/VQ2EZCYWLB8+XLYbDa88sorwjaz2YzXX38dc+bMQXZ2NgCguroap0+fdvpsc3Ozy/FefPFFNDc34/LLLxe2LV68GImJiXjxxRdd9o2KisKyZct8+ZOIIFHqqIRQ6GW5l+HoK59Igz2pw7KsIBaMJ7FAtPSVdvLNg1arUWPdNVOcBIMnfjLZJ0IEIV5sdhanddz9PsmHZRN5ZDIGY1O5ieFZxzVLEFkJakTIGRgsNtSPsoqL1OFLJp4/NgkRI4zMSYtziAVUDWFIdHoTeiw2KGQMcpNG5tCfLVQQMwxazj7cMffaBPF4nJ/KJgISS0OYM2cOVqxYgdWrV6OpqQnjxo3DG2+8gcrKSrz22mvCfjfddBO+/fZbp4svNzcXK1euxJQpU6BSqbBr1y689957mDZtGn79618L+6nVajz++OO46667sGLFClx22WXYuXMn/vOf/+Avf/kLEhMTA/qbCf9Q6lBEC9N8e/P1iQX0UJc6dR1GdJl7oZAxGJPsv06cGDlGiw11Hdy96Mv6xCuLczBvbBIW//VbWO0s5uTTc0HqVLR0w2i1QR0hR36yf8pXFaTG4kRdJ841deOySX75CiLEUMhlyE+ORmljN842dQvRi4QrIy2Z2B+KLPAMfgydnxyNSMXIhJmMeDUYBjBZ7WjuNiM1VpqeP6OhqtUAOwvEKhVIiXVNU/IVkhILAODNN9/E2rVr8dZbb6G9vR1Tp07F559/jgULFgz5uRtuuAG7d+/Ghx9+CJPJhNzcXNx///148MEHXZy477zzTkRERODZZ5/Fp59+iuzsbDz33HMuFRWI0MRuZ3GWjyzw8YpwVj+llJA2fFTB2JSYET8sCf/Ch+8lRkciMdq3ZceyE6MxKVODIzUdOFnfiTF+VP2J4HOijkt/nJgRB/nAPBQfwUe/nKPIAqIfBamxKG3sRllTNxaNTx3+A2GIwdKLA5WcF9WFBckjPk66Qyxo6jKh12b3iXeIFOH7qIJRLLhFKmRIj1NBpzehtt1IYoEb+L/z2NQYMIx/njuABMUClUqF9evXY/369YPus2PHDpdt//rXv7z6nttuuw233Xabt80jQoC6DiOMVhsi5TLk+rg+OkUWhA+neb8CLaUgiBUh1y/FPyvBkzLicKSmAyfq9bjyPO8NdonQ4aTDr2CSH/wKeEgsINzBXxf8Igfhyt6KNlhsdmTGq0cV+ZMco4RcxsBmZ9HSbRHEA8IZ/locN8pU3uyEKOj0JtS0GTAjJ8EXTZMUZbxY4OfFCJLECGIAfPjUmJRon6vGfZEFJBZInZH6FTzyCPD4435oEOFCWTPnXu8rv4KBTM7kctdP1UujfBsxOIequVXLzHj/eVMU9BMLyMyO4BHEgqauILdEvOws5fwKFhQmj2oFVi5jkOoI99aRR8SglDb5JpU3K5EW2Iaiz9zQPwsePCQWEMQABHNDH1dCAPoiC/RGKzpNVp8fnxAPI62EIJcDf/4zCQaBwN+qPL/KfKJOTwZNEua9fdU4WNUBAHjqf6excX+1X74nJzEKkXIZjNY+rw2C4EO9zzV1Uz8zCNvPNALoE3BHAx9N0Egmh27hKiE40hB8EFkAADVUAcYtJQ3cQkRSlG/TKAdCYgFBDICPLPCHg320UiHkRteRUipZLL12QfEdn+5dWPLatcBjj3kmGDz99EhbSAD90xD8IxYUpsVCIWPQbrBCR4ZYkkSnN2LNR8eF1ywLrNl8wi+rjryZHQB8dqyeVjYJAH3lWjtNvWjuMge7OaLjle/KhVr0az8+MWoxL91REYH6dPc0dprRZe6FXDb6ksGUujs47+6rxpkGbgyz+qPjfhOpARILCMIFPvc02ceGZzzU+UmfsuZu9NpZxKoUyBhBTqMngsHjjwNPPjnKhoYxNjuL8hb/piGoIuTCsU/U6f3yHURwqWjpwcCMABvLorLFPythkRHcsO2Z/53B/Ke2+XWASIQGSoVcKE9HZTWd0emNWLelRHht94GYx0cWUPlE9/ALbnlJUVAq5KM6VrbDN6yGTMGd0OmNeLCfSO2L63ooSCwgiH68u69aSEPwl1LXJxZQ5ydVBL+CtNgR50cOJRg8/ji3fc2a0bY0fKltN8DSa4dSIUOGH/PM+bDXk+RbIEnyk6Mx8A6XM6NfUXOHTm/Eido+0cnfA0QidCDzS/dUtPRgYGLGaMU8PrKAyie6hxesRpuCAPSJBfUdRtjIp0Ug0CI1iQUE4SBQSh2ZHEofX1VCcCcY8ELBY48BDzww2paGL/ygekxKjN9K3QF9vgV8xBIhLbQaNRYU9tVtlzMMnrxmMrQa3wtQ/pj4ENKggEwO3eKu8sFoxTwhsoDEArecc1yDoymbyJMep4JCxsBqYymSox+BFKkBCZZOJIiRMpRSl5zju3JYFFkgfc44TGe89Stwx9q13H///GfgiScAi4UTCtauBTppsXrE+LtsIg9FFkifWBU3lLpxbg7uWjTOL0IB4BggMpwvAo8/B4hE6EDlE92j1aiRGqtEk8PLwRdiHv9Zmry6h4/OLfCBSbhcxiAjXo3qNgNq2wx+rTYTSmg1aiyekIpvSpoA+FekBiiygCAE/KFAu4M8C6QPXyovJcY3vhdr1wKRkZxQEBnZJyAQI4ePLPCXXwHPBG0cGIYzw2rtJvMxKVLj6MsvGJfit8EawA0QH7tqsvBaxsCvA0QidOBDvnkRlOBgWRZdpl4AwHPXnYddqxZhZXHOqI7Z3+CQqk84w7KssFgSr47wyTGzHeUTa2jM7ITG8fddWZztk+t6KEgsIAgHWo0aGfF9ZnT+UuooDUHavP59BRodqxh3vn3IJ74Xjz/eJxRYLFRW0ReUNXPmhv6qhMATo1Qg32E+RtEF0qTOESXGC8H+5Ofn5wph0M9fP8OvA0QidODrrLd0W9DWYwlya8RDa48FRqsNDAMsnar1yXguNU4JgKt61GGgEtj9eXVnBbrNNgDALa/v88n4h8onuqe2jZtDzB+X7HfBmMQCgnBgsPSisZOb5D1//XS/KXV8GJXeaEWniR40UkKnN+Kxz08Jr33he9Hfo8Bs9rysIjE4LMsGLLIAACY6fAtOkG+B5DBabGjp5iZn/KDW34x3hPd2GOn5QXBERSqEsQWZHPbBTzDTYlWjdubnUUXIhRLYVD6xD53eiCf/69vKE0CfySEtsDlTG0CRmsQCgnBwrFYPm51FepwKy6Zm+E2pi1YqhAdNHXV+kqKipQcDoxJHY0DWXyjgUw/6mx4+/fQoGxymtPZYoDdawTDu0498zaQM8i2QKvyALValgCbKN2G3w8FHw5TRpJDoB28o9+XJBqqQ4YAPXedD2X0Fn4rQSL4FAr4e//Dwk2Eqn9iHpdcOnePaC4RITWIBQTg4XN0BAJiRG+/37yLfAmniS4dad0IBDy8YPPnkyNsazvCTrOyEKKgifLPaNBSTMx0VEeooskBq8H14VoCiCoC+kHPKTyf6w5eWe21XBeY/tc0vpZ9DDT6ywNcTKj4ViCIL+vCXQz/ft5Y1dZEI5kCnN4JlAVWEDMk+8sYaChILCMLBoep2AMCMnAS/fxdVRJAmWo1acL8HRu57MZRQwLN2LbBmzWhaG76cC1AlBB4+sqCy1YAuSj2SFPxqV3YAQkF5hMgCh+8GQej0Ruw62yK89lfp51BDCNVO9I9YQBUR+tBq1JicNfrxz0D4sXlrj5VEMAc1bX0iNcP4r/QzD4kFBAEuh/mwo0OanhPv9+8jk0Pp86dLC0fke+GJUMDzwAOjaGAYU9bETbIC4VcAAInRkchwDC5PUSqCpAhKZIFDLKhtN8BktQXsewnxUtHSg4G+/L4IAQ91+EmVr8U8Pg2hIczFmIHwk8p7loxs/DMQnd6IdVt874MQ6gTSrwAgsYAgAHADvpZuCyLkjLAK6E8oskC6VDvCHpdMTB+Rom6zeSYUECOnL7IgMGIBAEwk3wJJEuhBGwAkx0QiTqWAnQWqWukZQnAh4LIBC4z+KP0cagiRP36KLDjdQKHx/eHF04snpPrE96uipQd2P/gghDp9EW2Bub9JLCAI9IU5TcrQBCSHWTBsaaOHjJTQG6zQOxzKR2qo9MgjJBT4G96zYGyAIguAPt8CqoggLYSVSx9PRoaCYRjh2iXfAgLgQsD/8pMpwmsZA7+Ufg4lbHYW9R3+uT/PNHQB4IyxKTSeo8fci1ZH2U5fRVqRCOaevog2iiwgiIBxqCpwKQhA/zSE8FZHpQav9ibHKBEVqQhyawh3GCy9qHMMIMcFMLKAj1iiNARpEYzIAoAqIhCu/Gx2DrTx3Ir3CzfM8Evp51CiodMEq41FhJwR0gZ8gU5vxOvfVwivKTSeg3+uxqkU0Kh9UxlGq1Fj3TVTBONEBiSCAf2MOwMkUpNYQBAADvGVEAJgbghAqIfcaeoVVqKJ0IdPQcjxcZkmwneUO0zhEqMjkRDtfxdhHj6y4GxTN+WZS4Rucy/aDVz/HTSxgCILiH7kOiYPJqs9yC0JPrWO53FGvBrygcvTo4BC493jrwnsyuIc/GJ+HgDgqmnasBfBAIosIIiAY7TYUKLjVvtm5AZGLIhWKpDomKjUkcmhZOgTC8I7RE7M8JOrQEYVAJwhVmJ0JGx2VghhJUIbPqogPioCsSrfrKR5Cl/JgyoiEP3JjOeePfwqbzhT086bG/r2eUyh8e7x5wR2fHosAKDD0OvzY4caJqsNTV1mAIEz1iWxgAh7jtfp0WtnkRqrFBzLA0E2mRxKDhILxE+fX0FgyibyMAyDSRlcdMGnR+vDPmRVCtS2+Wcy4gn9PQtYdqAPPhGuZDrSEEgs6L/S7dvJKx8az8OQPwSAfn9vP/SHGY5o3Hq6roV7OzpSjoSowIjUJBYQYQ9vbjgjJyEg9Up5eEVw59kWmjhIhEDnkRHeE4xKCDwyR//y2q4KMsWSADVB8isAOEFSIWNgsNio1jshkOm4Filisf/96fvn8criHFx1nhYAcMv5eRQaD//2h7wQo9NTX9e/XG+g5iwkFhBhz2FeLMiND+j3dpu4XNe3fqiiiYNEoMgC8VPWxIVtB7ISAsCZYn1X2iy8JlOs0CfQeaP9iZDLkJvE9TP8NU0QfBoCrcD2Rf746/7kTWubu81+OX6owfeH/lgsyXBEzHSbe9FpCm+fL39FzAwFiQVEWMOyrGBuOD1A5oaAY+JwtkV4TROH0KfXZhdWc3KTAhviTnhGr82OckdkQZwqsNUqKlp6MDBYnEyxQptgRxKNIZNDYgAZ/dIQwj09RahF76f7k7//ysk3BEBff+iPSI6oSAXiHSH34S6E9Y8sCBQkFhBhTW27Ec1dZihkDKZkagL2vTRxkB46vQm9dhaRChlSY5XBbg7hhpe/K4fVYWO94qU9AY3mIVMs6RHMyAKAKiIQrvC53QaLDR2G8F2BNff2pef4y1MkP5lbFKho6Ql7YUZvtKLTxJkP+qs/FFIROsI7FSEY6W8kFhBhzeGaDgDApIw4qCLkAftemjhIj2rB3EcNmQ/LNBG+Qac34q9fnRFeBzqaR6gX3e/SIFOs0IY3pw2GwSHQvyICiQUEhypCjuQYTqwOZ5PD+g4TWBZQR8iRHOOfErk5iVGQyxgYreQbwveFidGRiFb6J2qPNyCvD/MIXIosGCVmsxkPPPAAMjIyoFarMWfOHGzdunXYz23evBkrV67EmDFjEBUVhfHjx+Pee+9FR0eHy755eXlgGMbl3x133OGHX0T4m0NVnF9BIFMQAFc3XRm56YY85FcgbrjVH+dtgY7mWVmcg//+7kJBKJwR4H6H8B39V9IygxVZwFdEIM8Coh9UEaF/SLzabyZwkQqZUNWqIsxTEQS/Aj/2hXzUTLhHFtQGwbMgsEmbfuaWW27Bpk2b8Ic//AEFBQXYsGEDli5diu3bt+OCCy4Y9HO33347MjIycOONNyInJwfHjx/HP//5T2zZsgWHDh2CWu18QqZNm4Z7773XaVthYaFffhPhX3hzw+k58QH/7pXFOfjwYC32VbbjgcuKyE03xCGxQNzwIaP9CUY0T5E2DouLUvF1SRM+PlKH+y4rCuj3E76BX0lLio5EVGRwhlJjkzmxoKHThG5zL2L8tKJHhBaZCWocrdWHdUUEf5rt9WdMSgwqWw0oa+nBvHHJfv0uMeNPvwIerUMEC2fPAoOlF609FgCBjSyQzJNl3759eO+997B+/Xr86U9/AgDcdNNNmDx5Mu6//37s3r170M9u2rQJCxcudNo2c+ZM3HzzzXj77bfxq1/9yum9zMxM3HjjjT7/DURgMVltOFGnBxC8nNPzsuOxr7IdujAPYZMC1VQ2UdRoNWoUpMbgbBMXsi1nmKBF81w9PZMTCw7X494l4yltJQSp4Z3Wg3i/a6IikByjREu3GeXN3ZiaFR+0thDiIdOxAhvWkQXtfWmB/kTwLaDIAgBAlh9XuzMcz+pwTkPg/85xKgU06oiAfa9k0hA2bdoEuVyO22+/XdimUqlw6623Ys+ePaipqRn0swOFAgD4yU9+AgAoKSlx+xmLxYKenvDuHIKNTm/E7rKWEecc/7+vS2FzhCUH2uyMpyg9DgBQousM+HcTvqWGIgtEj8VmBwD8+UcTsGvVoqBF81wyIQ0xSgXqOow46IhuIkKL2iCYTLmDfAuIgfDh2uG8AhuoSiVjHPdfeUt43399/aH//t5CGoI+fBfXAvF3dodkIgsOHz6MwsJCxMXFOW2fPXs2AODIkSPIzs72+HgNDQ0AgORk17Cibdu2ISoqCjabDbm5ufjjH/+I3//+98Me02w2w2zuq8fa2clNEK1WK6zW8HWtHQkfHKzFQ5+cgp3l8v2f+PFErJiZ5fHndR1GvPhtufDazgKrNx/H+fkJ0DpMVPrDnx9fn6dxKVznd7qhExaLxW+5deGGv87XUFS3cp14RlxkwL5XSv2Gv/tHq80uqPJLJqQgOUoRtL+fHMCSian46HA9Nh+swbTM2KC0w1cE434LNtWt3GJBpkYZ1N+dnxyFvRVtKG3o9Lgd4XS+pPIbvekf02M5Q7/adoNkfr+3VLdx96fWz8/jHEdofHlz95DfI/V7jhdn/Dn+SYnmpqz1HUaYzRa/ReSJ+VxVOkThzHiVb8ZFHh5DMmKBTqeDVqt12c5vq6+v9+p4Tz/9NORyOZYvX+60ferUqbjgggswfvx4tLa2YsOGDfjDH/6A+vp6PP3000Mec926dXj00Uddtm/fvh1RUbQa6SkdZuCRQ3Kw4DoKOws8+PFJWKuPId6DinUsC7xeKsPAwBo7C7y/ZTsKNIOXwPHEMNMbeu2ADHLojb149+P/etR+wnN8fb4Gw9ALdBi57vTU/p0oC1BhDYNBOqU2/d0/tpgAm12BCIbFgZ3bXKqRBJp0EwNAjk8O12CWrBIKCcT5Bep+EwOHznDPkPbaMmzZci5o7TA3c9fR7uNlKLKc9eqz4XC+pNJHetM/1vYAgAIVjXps2bIlMA0UGeUNcgAMKk8exJZK/32P3gIACtS0GfDp51uG7celeM+xLFDZzP29y47tQ7d33ZDH2OwAAzmsNuD9T/+LOP8UuRAQ47naWck9d6wdDT65tz3tHyUjFhiNRiiVrjMtlUolvO8p77zzDl577TXcf//9KCgocHrv008/dXr9i1/8AldccQX+7//+D3fffTeysgZf3V69ejXuuece4XVnZyeys7OxaNEiJCUledw+qaPTm1DVakBuUpTbVf4fytvAHjrgtI0Fg7HT5mJOfuKQx7bZWaz99BSOttW5vCdjgOuWLho0smDr1q1YsmQJIiJ8myf0UsX3ONvUg4xJxVhYmOLTY4cr/jxf7jhZ3wns/wFJ0ZH4yZWX+v37ePjVJSng7/5x57kW4PAh5KXE4EfL5o/6eKPlMjuLTeu/RXO3BdFjZ+HiCanBbtKICfT9JgZeKN8NoBtXXFiMCwuCZ2wWc7YFH1UegkERi6VLPbuuw+l8SaWP9KZ/7DBYsf7YdnT3Mli85LKAloUWAz3mXnTv2QYA+NmVSxCr8t81zrIsnj6+DT0WGybOXoBxjgolA5HyPddusMD8ww4AwM+u8u/19vSpb9HYZcak4vmYkqnxy3eI+Vx98e4RQNeEC2dMxNK5o0+j9LR/lIxYoFarnUK0eEwmk/C+J+zcuRO33norLrvsMvzlL38Zdn+GYfDHP/4RX375JXbs2DGk8aFSqXQraERERIjuggwW7+ytwoMfnQALbvK+7popLnnFOcmunTHDAGPT4gb9O+r0Rpxt7MaG3ZXYdroJMga4dkYWNh+qg41lBbOznOShw4H9ca4maDU429SDs80GLJlE14EvCdS9pevk3GlzkqICei9Lqd/wd/9Y18E9H3KTYkTxd4sAcNW0TLy2qwKfnWjE5VMzg92kURMuzzKWZYWUltyU2KD+5sJ0bsBc1WoEI5NDIfc8RCUczpdUfp83/WNynALRkXL0WGxo6unF2BTXBRAp09jKjfs16ggkxvo/ajc/JRon6jpR3WHGhMyhy+FK8Z5r6OJSPlJilYiN8u+1po1Xo7HLjKZuq9//jmI8V/UOvwZfjWM8PYZkxAKtVou6OtfVYp1OBwDIyMgY9hhHjx7FVVddhcmTJ2PTpk1QKDz78/BeCG1tbV60mBiITm8UhAKASwtYs/kEFhSmODmWf3myweWzWfHqQV3NN+6vxurNx2F3HFjOAP+8fgaumKLFPZcWorLFgLzkqKC4ogNAkTYWnx4FTuu6gvL9xOihsonip8rhKZGbJJ5zdLVDLPj6VCO6TFa/roARvqPDYEWPxQagz3k+WGTGq6FUyGDu5Tw58tyUCCXCC4ZhkJmgRmljN+rajRib4n61W6rUBLgOfX5yDE7UdaKiJTxNz4UylQEwe82IV+FIDVDfEZ4mh3wVnkBX3ZJAliTHtGnTUFpa6hJSsXfvXuH9oSgrK8Pll1+O1NRUbNmyBTExnneu5eWcUV5KCoWQj4aKlh4MdAuwsSwqW/pyalq6zfjHN1x+6INLi/DSjTMQIWNQ027E0ZoOl2Pq9EYnoQAAWADTcuIBcOXUzh+bFDShAAAmOCoinG6QRrhkOMKLBbkkFoiWKsc5yhORWDA5Mw5jU6Jh7rXjn9vOjbiyCxFY+MFxaqwy6CHeMhmDMY7JIFVEIHjCuSICXzYxKz4wff0Yh0BXHqb3Hy/OBMKhny+fGI7Pyk6TFXojZ0gY6Co8khELli9fDpvNhldeeUXYZjab8frrr2POnDnC6n91dTVOnz7t9NmGhgZceumlkMlk+PLLLwed9Le1tcFmszlts1qteOqppxAZGYlFixb5+FeFF4NNtPqrw89+VYoucy+mZGpw6wVjcPlkLX50Hhc18uaeKpfPVrT0OAkFABex0F+ACDZFWi71oay5B+Ze2zB7E2KkOkBlmoiRU+Vwr89JEs/KK8Mwwqrfy9+VY/5T24JSwpXwjhqRlE3kofKJxED4iJe6cBQLhNXXwNyffPnEsI8sCMDfW8uLYGFYPrHWcV0nRkciWhnYxADJpCHMmTMHK1aswOrVq9HU1IRx48bhjTfeQGVlJV577TVhv5tuugnffvstWLZvBnn55ZejvLwc999/P3bt2oVdu3YJ76WlpWHJkiUAOHPDJ554AsuXL0d+fj7a2trwzjvv4MSJE3jyySeRnp4euB8sQfTGXrfb3/qhCquvmIBT9Z3CQPrPV04UyqbcdH4uPjpch8+O1WPN0iIkxfTl9UVHuq76yBkGecnimdSlx6mgUUdAb7TiXFM3JmX4x7SF8B+UhiBuWJYVZfSHTm/E1yWNwuvBUq8IccHXuhaLOMgLTrvPteLK8zLo2iGQ6RCy6trDTywI9P05xuGjVd4cnmJBn3gaiMgCzhMhHCNmaoMoUktGLACAN998E2vXrsVbb72F9vZ2TJ06FZ9//jkWLFgw5OeOHj0KAHjmmWdc3rvooosEsWDKlCmYOHEi/vOf/6C5uRmRkZGYNm0a3n//faxYscL3PyjM2HWuGQAwb2wS7l5cgNLGTjz86Sm8/G05UmKU2HyoDnYWWDZVi+K8vqoH07LjMTVLg2O1emw8UIM7F44DwE0Q/v6Nc0kr3shQTIMphmFQlB6LvRVtKNF1kVgQYvTa7MKALEdEIe5EH01dZpisdshljDCIFgPuIp/41Csx9VGEM/zKpVgiCxo7uVW2HaXNmP/UNrfGwER4EdaRBUIOfWCex/ziU2uPBXqDFZqo8PKeqQ3g35uPLNCFoWcB/3cmsWCUqFQqrF+/HuvXrx90nx07drhs6x9lMBQzZ850KZ1I+I5d51oBABdPSMP5Y5Nw/tgkNHdZ8M/t5/DEFyXCfpMz4pw+xzAMbjo/D3/64Cje/qEat184Bgq5DJ8ercc3p5sQKZdhwy+KwTgiCsQ4CJ+gjcPeijac1pFvQaih05vQa2cRKZchLTa8XKdDhUpHeGhmvBoRXrjF+5v85GjIGDgJBmKLfCJcqQ3gStpw6PRGbDxQI7ym6BQCCF+xgGVZ1AbY4DBWFYHUWCWausyoaO3BtKj4gHyvGOAqwwRuxTsjnhtjNXWZYLXZRfU89zd8BEegRLD+hM9fmRA1JqsN+yo4saB/zeqfzc522fevX5a6mJv8aKoWCVERqOsw4pvTTWjtNuPRz04BAH67eBzmjUsOupHhUExw+BacbqCKCKGGYO6TqBZSYwhxwZsbiqkSAsAZrK67Zgr6XzaP/niSaPspgiOQK2nDUdHSg4HrHQONgYnwg4+gatCbYBsYviRh9EYrusxcSmsgxbz8MDU5bOm2wGS1g2H6TDX9SXK0EhFyBna2L6IqXAhmZAGJBYQoOFTdDpPVjpRYJQpS+ypR8IP8/rgbCKki5PjpbC7s8l87y3D3u4fR1mNBUXos7rhorH8b7wOKqCJCyEJ+BeKnulW852hlcQ523r8IcY6yifkjKH2n0xuxu6wlLB2iAw23kiaeNAQ+OqU/FJ1CpMaqoJAx6LWzaOoKn0kVnyKUEuBKJXxFknAzOeRXu9PjVIhU+H9KKZMxSHf4FujCzOSwb2GKIguIMOX7cy0AgAvGJYNh+kY+3gyEbpiTAwbAgcoO7C7johQumZgWkA5stBSmxYJhOJW2ucsc7OYQXkBigfipdFRCyBNRJYT+ZCZE4dJJaQCA7aebvPrsxv3VmP/UNlz/r71UTSEAtPZYYLTaAraSNhx8dEr/x6TYfHmIwCPvN6kKJ5PDvlDtwF7/feUTw0ssCEaUFV8+MZxMDlmWFe7jQF/bAIkFhEjYdbZPLOgPPxCSOwSEoQwK5TIGA4PtXtxeFhKrbepIOfIdExmKLggtSCwQP8I5ElkaQn8WjU8FwJnUeYpOb8TqzccFzwM+Xz0U+rxQ5XB1OwAgJUYpGiF6ZXEOXrlpJgAgWinHtTOygtwiQgyEo29BTZDKGPPlE8vDLbKgLfAO/bxIWx9GJofBSq/hEceTjghr9AYrjtXpAQDzB4gFADcQ2rVqEd69bS52rVo0qMuzu/CvUMrdLOJ9C3TkWxBKBGtwQnhOVas4PQv6c0FBMuQyBueauoVrajiGqqZA+J6N+6tx+5sHAXAVNsQUxbG4KA3xURHoMdtwtLYj2M0hRADvW1AbRpEF/GJLgjoyoN/Lp49VtHTDHkYeEYK5YQDHP1ohDSF8rmv+Ho5TRaDdYAn495NYQASd3WUtYFlgXGqMEDY3EK1GPaxBYajnbvK+BSUUWRBSUGSBuOkwWKA3WgGI+xxp1BGYmZsAANhxxrNUhPzkaAy01JQxCJk+L5Tgozj6TwPEFMUhlzGC2P7tGc+jUwjpkhkfXuHaG/dX46PD9QCAN/ZUBlTMy06MgkLGwGS1oyGMjPeC4d8SjpEF7+3jruVOkzUo6YYkFhBBZ9c59ykI3uJNyoIYKUqnyIJQo9NkRbtB/BPRcIaPKkiNVSIqUtzVgheOTwEAbPdwsqfVqDGunyEsAFw9LTNk+rxQIhSiOC4q4K6fbx1pfUR4E05pCLyYx8MisGJehFwmjAHCybdAiKwMpGeBo3xiuIhgOr0Rb+/tEweCkW5IYgERdL73kVgAeJ6yIEYmaLnIgnNN3bDa7EFuDeEJ/IMyOSYS0UpxT0TDFbGWTXQH71uwu6wFJqtt2P1bus0oc5TqumQC91nezJHwLaEQubagkBMLjtV2oL0n8KGqhLjg0xDCweBQDGIe71tQ0RIe5RPtdlYQogIZWcCL4WKJ6vI3FS09Ln5sgb62SSwggkpNmwGVrQbIZQzmjEn0yTE9SVkQI5nxasQoFbDY7GFXfidU4UvykV+BeKl2TJ5zEsVZCaE/RemxSI9TwWS144fy1mH3/++JBthZYGqWBk9eMwVyGYND1R2CgED4Dq1GjTsXjRNeyxjxVR1I16gwPi0WLNsXsUeELxn90hBYVtp59GIQ83jfgrIwiSxo7DLBamMhlzGCj0Ag4K/rdoMVRsvwonqo466ccqCv7YCLBYcPH4ZcLsfdd9/t9Wf1ej2SkpIwZ84cyXd84QIfVTA9Ox6xjjrj4YpMxmC8IxWhREe+BaHACYcxZ0qMMsgtIQaj0iHo5IVAZAHDMFhUxK0O7/AgFeGzo1x+7o+mapEaq8JFjpXlzYdq/dfIMCZSzg2ZivMS8P2qxaKMXFtQ6PAt8KKqBiFN+DSEHotN8G2RKlqNGr+6YIzwOhhpqGNSuJSwcFns4f0KtBoVFPLATSfjVApER8oBhEd0gVbDLSTyBOPaDrhYcPfdd0OtVmPt2rVu3+/u7oZCoUBsbCxsNmfFSKPRYPXq1di3bx/efPPNQDSX8DP86oe7KgjhSJEgFpBvgdjZuL8az+8oAwBsPdUoKmd0og8++kPMZRP7s5AvoTiMyWGD3oT9lW0AgGVTMwAAy2dyJfM2H6qDLYwcuQMFPwG/ZkaWqCIK+sOnIuw820yLKmGOKkKO5BiuKkA4VEQYm8qtwJ6XpQlKGiq/AlweJmkIxx1VV1JjA7tYwjAMtGFkcqg3WNHtKJv471uKg3JtB1Qs2LRpE77//nvceeedSE1NdbvPvn37YLPZMHv2bMjlcpf3f/vb3yIlJQWrV6+G2Wz2d5MJP2K3s9hdxoXaXlBAYgEAFDl8C/aUt4SFYhqqBNtMifCcqjZulSc3SfxpCAAnnEbIGVS2GoZcofriuA4sC8zKTRBWEC+ekAqNOgI6vQm7yygM3Zd0GCw4XN0OAEIEhxgpzkuEKkKGxk4zzjSS6BzuZIRRRQTezPa87PigiHm8Z0FNmxFVEveO2bi/Go9/XgIAOFTdEfDFEuG6DoMx1zlHWqFWo8LiotSgXNsBFQuee+45AMCtt9466D579uwBAJx//vlu31epVLj++uuh0+mwceNG3zeSCBjfnW1GW48F6ggZpmXHB7s5oqDeUbP2aI0+KOVRCM8Qg5kSMTxGiw2NnZyoHAppCAAQo1SgOI/zb9l+evDogv4pCDxKhRxXncdFGWw6SKkIvmTXuRbYWaAwLUYYqIoRVYQcc8ckAQC+o1SEsCecKiJUBbmM8baSvv560V93SHb8JoYyshkOjwRdGEQW8B5EY1NihtnTf4xILHjiiSfAMAzmzp3r9v1Vq1aBYRhMmzYN7e2cEn/48GHs3r0bc+fOxfjx410+89Zbb4FhGDz00EMAgL/85S9gGEb49/HHHwv73nLLLQCA559/fiTNJ0TAxv3V+MXr+wEARqudcmzBdcAvf1cuvA5GeRTCM8RgpkQMT7Vj8BinUiA+KjLIrfEcvirC9kFSEWraDDhS0wEZAyztJxYAfakIX55sQKdJ2nnKgYT3kODTRMTMAkcJxe9KKbok3BHEgjBIQ+BX84MRRabTG7Hmo75oQymP38SwWMKvrodDxEyfWBC86MgRiQX33nsvsrKysHfvXnz44YdO761btw5PP/00xo8fj6+++goJCQkAIEz2L7nkErfHjIqKws033wyVilOLVq5ciZtvvln4N3v2bGHfadOmISUlBfv27YNOpxvJTyCCiBhUSTEihg6Y8AytRo1bL8gXXgfDcIYYnmAOHkcDb3L4Q1krtp9udOkbPz/GPffmjklCaqyzC/XULA0KUmNgstqx5Rg9H32B3c4KfgViTkHg4X0L9lW0wWDpDXJriGASLuHaLMsKaQjBKJMbTuM3MSyWZMRzzz2pX9cAUNbEiQXjUkMsskCtVuMvf/kLAODBBx9Eby/3MHrxxRexZs0a5Ofn45tvvnHyJdi2bRuAwdMLrr32Wvz973+H2WxGXFwc3n33XWzYsEH4l5GR4bQ/f5xvvvlmJD+BCCLh1Kl6g7sOWMaAVqtFCi8MzMpNCIrhDDE8wRw8joaxKTFIiIqA1c7iFxsOuKQk9aUgZLh8lmEYXOuILnhnbzV2l5H/yWgpaehEc5cZUZFyzMpLCHZzhmVsSjQy49Ww2OzYW94W7OYQQSQzITwiCzoMVnSZuLlIMNIQxDCBDhSulScCX0aWF8F0+nBIQ+AWPUIuDQEAfv7zn2PGjBk4c+YMXnvtNbz99tu46667kJmZiW+++QaZmZlO+x8+fBgAMGHChEGPefDgQbAsixkzZoBhmEH3A4BJkyYBAA4dOjTSn0AEiXDqVL1Bq1Fj3TVTIO937Y9Pi6XVapFyuoErbzlvXDKdI5HSZ24YWn1LQ6cJ7Ya+FAI7C6zefBw6vRE/lLfilK4Tcga4fHK628//ZHomGADH6vS4/l97yf9klPApCPPGJkGpcDVeFhsMw1AJRQJAXxpCRUuPpEVD3q8gLU4JVUTg71F+/MaP3hgEfgIdSGJVXCm/uWMSsSsIZWS1Ds+C+g6jpKu+mHttQjrl2FCLLAC4h9Gzzz4LAFi9ejVuueUWJCcn4+uvv0Z+fr7Tvj09Pejp4QZtSUlJgx7z4MGDAICZM2cO+/38cRobG0fUfiJ4aDVq3L24QHgdDFVSrKwszsGuVYvwf9edBxkDlDR04UAlrQyJkTMNnNM4X+6SEB9CZEFiaKUhuKuCYGeBezcewc9e+QEAYGOBraca3H7ezrJOaV5Szp8NBEIKQgj4FfDw6RJfnmyg8x7G7Kvgxg+dpl5Ji4ZCylkQ+/qVxTl45KqJAIBpOfGSjjY8UMX50V0+KT0oY3c+ssBgsaHTKN1Uq6pWA2x2FrFKRcBLVPZnVNUQFi5ciHnz5qG9vR1qtRpfffUVioqKXPbT6/XC/8fGDj6wPnDgAABg1qxZw353XBxXYo43UCRCCz73pjAtJiiqpJjRatS4ZkYWrpuVDQB45n9nJK2chiI2O4vSRi6PbDyJBaKFFwtyQiyywF30FQDsLm/zyOvFndhAqV4jo9NkxUHHwHhhCPgV8DR0cuG5Or1J0pNEYnB0eiOe+OKU8FrKomG1SPr6wjRubqI3SNdc1mZnccjRJ85yVO4JNKoIORKjOdNiKfsW8H4FY1Jjho249yejEgtef/11odQh7zXgjvj4eOH/u7oGr/vrTWQBL0DwBopEaMG7e04LUj3cUOD3lxQgUiHDvso27KBQUlFR3WaA0WqDUiFDXoiZ54ULVptdKBcWaudoYEqSjAHmj3WNyhtMAKBUL9+x+1wLbHYWY1KikR2kkmzeotMb8dhn4TFJJAYnnPyh+DSE3CDfo2lx3OpvY6d0c+lLG7vQZe5FdKQ8qJGVfCrCNjcmwFJBDJUQgFGIBR988AFuu+02JCYmYuXKlbBYLHjggQfc7hsVFYXoaO6Htra2ut1Hr9ejrKwMGo0G48aNG/b7+eOkpaWN8BcQwUQMhh1iR6tR4+bzcwEA6/93BvaBT30iaJxx+BUUpsVC7m4JmAg69R1G2OwslApZUMP3RgqfkvTubXPx/arF+KsjNak/gwkAvNjQf/+7F48jYXYECCUTC0MnBSGcJonE4ISTaCiWyIK0OG4C22OxodsszfB4PjV2Rm4CFPJRrTmPCr6PW/9lqWSjp86JoBICMEKxYMuWLbjhhhsQHR2NL7/8Ei+99BISExOxadMm7N692+1nZsyYAQA4deqU2/dPnjwJlmUxdepUj0ItTpw4AcCzKARCfPChNSQWDM2dC8chVqnAKV0nnvu6VLLqaahx2uFXQCkI4qWSHzwmRkEWooKOVqPG+WOToNWoXaINhivXubI4B9+vWoy5+VyY6IGqdkpn8hKW7VcycXzopCC4nyRSZZ1wI5xM9/rMbIO7AhutVCBWyZn/STW6gPcrmJkbvMhund6I07pO4bVUo6fEsrDqtVjw7bffYvny5VAoFPjss88wc+ZMxMfHY82aNQCAe+65x+3nFi1aBABC2sJArFYuv8dg8Ez55o+zePFir9pPBB+7nUV5i0MsCLJaJnYSoiMx1xF+/I9t5ySrnoYap3Vkbih2jtd2AOhb6ZEC/aMNPCnXqdWosX7FeYiUy7DrXAu2n2kKUEulwffnWqHTm6BUMJiTH5zc3JHgLrLkD0sKJTlJJIZmZXEOfn0RV+bu8snpkvSHMlltaOw0Awh+GgIApPKpCBIt63egkhMLioPkVwBw0VMDpW+pRU+xLNsvDSGExIJ9+/bhyiuvhM1mw+bNm7FgwQLhvd/+9rfIzc3F3r178d5777l89uqrrwYAbN261e2xzzvvPCQkJODgwYOYPXs2brrpJtxyyy3YsWOHy76HDx9Ga2srZs+eDa1W681PIERAvd4Ik9WOCDmD7AQavAyFTm/ENyV9FT/sLLBq83GcbewS3h9YR93dtqG2E95zppEXC9z7tBDBZeP+ajz7VSkA4PtzLZIS2PpHG3hCdmIUfnFBHgDgiS9KYLXZ/dg66bBxfzV+/tpeAIC5l8UnR+qC3CLv4CNLJmg5QZM3AyPCD/451W6wBLkl/oEvLRerUiA+KiLIrekTqBu7pCcW1HcYUddhhFzGYFp2fNDakZ8cjYHxglJLsdHpTTBYbFDImKCXf/ZYLDh+/DiuuOIKGAwGvP3227j88sud3lcqlXj88ccBcKUUzWaz0/vTp0/HvHnzsG/fPpSUlLgcPz4+Hp9//jkuvvhilJeX46233sIbb7wBudy1XuqGDRsAAHfddZfLe2azGQ888AAyMjKgVqsxZ86cQQWKgdTV1eG6665DfHw84uLi8OMf/xjl5eVu933ttdcwYcIEqFQqFBQU4B//+IdH30H0hdXkJUUHNd8pFHCXe8qywI/+sQvXvbwb857a5lRHfeP+aswfsA3AoNtJQPAeg6UXlY4yTZSGID50eiNWbz4urDqwkGZ4ojfctWgckqIjUd7cg3f2Skc4GQme9HkDryEgNK8hrUaNyyalAwD2lLn3iyKkT6ZjUYY3fJUafNWbvKTooDrG8whiQad5mD1DDz4FYaI2DtGOdItgoNWo8buL+5dgHzotLxThowpyk6IQEeS5ksdnesqUKYOaE/L8/Oc/x89//vNB3//jH/+I3bt349VXX8Wzzz7r8v68efPw9ddfD/kdJpMJ77zzDrRaLVauXOny/i233IJNmzbhD3/4AwoKCrBhwwYsXboU27dvxwUXXDDocbu7u7Fo0SLo9XqsWbMGEREReO6553DRRRfhyJEjSErqc6J++eWXcccdd+Daa6/FPffcg507d+J3v/sdDAbDoCaPRB/kV+A5fO7pQMHA3GvHvoq+sqF2Fnjgw+NO+/DbXvmuXBBo+O2rNx9HU6cZz31dCjvLua2vu2aKJEMUfc3Zxm6wLJAcE4mUEDTOkzpDmbtJaSDhDXGqCPxxSSEe+vgEnv3qDDI0akzOigu7v8fG/dVYvfn4sH3e5kO1krmG5o5JAnAWP5S3gWVZUUymiMDC16Rv0Jtgs7OSM+Wtcoj3wTY35EmVcEWEgw5zw1l5wa9Ed9uCMfh/35wFAPz3DxeiME1aizfnRDRXCqhUsXz5csyfPx8vv/wyGhsbh/+AG/7xj3+gpaUF69atg1LpPFDft28f3nvvPaxbtw7r16/H7bffjm3btiE3Nxf333//kMd94YUXcPbsWXz++ee4//778cc//hFfffUVdDqdk7BhNBrx4IMPYtmyZdi0aRNuu+02vPnmm7jhhhvw+OOPo729fYhvIYB+pUBSQ6ucWTBwZ2r21DVTsPZHEzw+Rn+hgMfOAs9uLRUGxFI1h/EHZ8jcUNTkJ0dj4HxIauGJI+GnxdlIi1Oi09SL2946EHb+J3y0QP8+b9WHx7H1VAPsdhY6vRGfHK7Dja/uxfovS10+H6rX0LTseCgVMrR0m90+CwjpkxarhFzGwGpj0dwlvdVuPrJADH4FAJAWy0UWNEkwsmC/w69gVm7wPVxilAokOdKrpJhex8+Vgl0JAQiwWABwk32j0SikLHiDXq/HU089JXgaDGTTpk2Qy+W4/fbbhW0qlQq33nor9uzZg5qamkGPvWnTJhQXF6O4uFjYVlRUhIsvvhjvv/++sG379u1obW3FnXfe6fT5u+66Cz09Pfjiiy+8/l3hhlgMO0KFgaZmP52dg6VTtC5u1wzgMkmSMcDaZRNccrvcITVzGH9R4iibOD6N/ArEiFajxqJ+Ze6kGJ44Epq7zWjqN1EIN4HQbUoXgNvePIhpj32F89dtw+83HsGucy2QMcBFhclCHxvK15AqQo4ZOdwq4J5ySkUIRxRyGdIdofFSTEWocngWBDuvmyddw6chSCuyoMtkxWnH+EcMkQUA58kD9JXOlBJlTeKohAAEQSyYPn06bDYb/vnPf3r9WY1Gg9bWVuzdu9dtKN3hw4dRWFiIuDjnQfzs2bMBAEeOHHF7XLvdjmPHjmHWrFku782ePRtlZWXo6uoSvgOAy74zZ86ETCYT3icGRyylQEKJgaZmbiMOrp2CpwZsW3fNFNx64Rg8da3z9tVXFIVN/WVfw0cWFGkpskCs8MZSv7lorEdVA8KBipYeDKycGE4CoTtDLAaASsGg0+RaD/2pa6fi+1WLPa48IWa4VATgBxILwpbMeOn6FlTzaQiJ4ohWTXOkITRITCw4XN0BOwtkJ6pFU2WIF4h4k0spca5ZPFXjgudO4Qd0Op3b6gj8tvr6erefa2trg9lsHvaz48ePh06ng1wuR2pqqtN+kZGRSEpKGvQ7AM58sb/xY2cnp9Adr2lHfPcwP04idJt7hTC4bqMFR6pCY/DS29uLmm7gaHUbFApx3DbjU6Px0o3T0KA3IV2jQkoM94AauO1IVavbfX9zUT6e31EhHO+Oi/LQ2GFAY0fod7r+Ol8sy+J4nR4AwLD2oF+/3Q4RUwr4qn9s7THjZD332Tl5Gslc06Olx2QBAziZ9jEAuk3mUV/HYuwfB9Jt7oVcBvQ6olUZAHcuzEdytBKPfnHaaV87C3x9UocpmRqoFQj5ayg5mjsnu0qbcbiyBTabTfTny1dIpY8cbf+oUnBrgwcqWpATLx2vnV6bHTWOiaIv+jJf0OJIP2jQG3G4sgUMw4REHzkcnx/lKsKMTYoWxd8ZACIdq16HqtpwpCreJ8cUw7nqP1fq8eNcydP+MTSv2EEwGo0uPgYAl4rAvz/Y5wB49Fmj0YjISPcliFQq1aDfAQDr1q3Do48+6rL9pjcOQ6YMvxXdG/69P9hN8BIFcPxAsBvhN57fUeEkHoQ+/j1f9314wm/H9hS7OXQnMAPxR/94yxuHRtssScMCuO0tX0XDhVb/yAJD9ndrP3Wt2hTq6E29+MlLex2vQut8jRSp9JG+6h/f/KEGb/4weEpuKOO7vsw39NrR734DpHLP7Tjbgh1nW4LdDCe+PNWEL081+fCI4jlX/pwredo/SkosUKvVLiUbAa6CAv/+YJ8D4NFn1Wo1LBb3tWpNJtOg3wFwJSXvuece4XVnZyeys7Px5s3TEZ8gjvwff7PtdBP+vr0cUzLj8PhVE4PdHI/p7e3FDz/8gLlz54asKuyOwzUdePTz00iPU+KlG6YHuzk+w1/n63CNHo9+XoIMjQovXD/NZ8cdKd1dXbjwb8FuhW/wVf/49P/OYE9FO1bOysTPirP90dSQ5mhtBx7+7DQi5cA7t872SflasfePJqsNt/3nMLpMvbjnknFYUJDs9P7Wkka8sKMCLPoiDpZMSAtKW/3Fnz89hWN1nbj9wjxcWpQs6vPlS6TSR462f/zfyQa89F0lZubEY+2yIn82NaAcqdXjkc9KkBmvwvM/mxbs5gj8/PUD6DL14m/XTUFeUrTo+8jh6LXZceO/D8DUa8ffr5sqmsoTJ+r1eOiTEp+OYcVwrr453YR/bC/H1Mw4PObHuZKn/WPoXbFDoNVqUVdX57Jdp9MBADIyMtx+LjExEUqlUthvqM9qtVrYbDY0NTU5pSJYLBa0trYO+h0AF7ngLnphSnaCU2lGKfNlSTMAYFp2Aqblhs5vtlqtqDsBnJeTiIiIiGA3x2fkp8bh0c9Po6HTjOykGCTFSCM80V/n60A1l4JwXna8KK7fzk7pXIu+6B+tNjuO13NhdT+bk4dp2fG+bKIkmJqdiGe3nkOnqReRkRGYmhU/6mOKvX98/fsKdJl6kZMYhTsXFbgIJNNyk3Dj+fmobDEgLzkqJI0Mh2PJxHQcq+tEXYcZ5+Ukjup86fRGVLT0ID85WvR/K6n0kaPtHztMNrz0XSV6LDZRPLt8xckGLgdjfHqcqH5XZrwapxu6kBCjxrTcJNH3kcNxrLYDpl474lQK/GhaFmQiKb+ZFh+Fhz4pQUu3BZOzEnwifovhXP3vlGOulOPfuZKn/WPADQ79ybRp01BaWirkcvHs3btXeN8dMpkMU6ZMwYEDriEne/fuxZgxYxAbG+t0jIH7HjhwAHa7fdDvIDjKhLqh4jCiCXc06gihLMuRmo7gNiYEKNE5zA3TqRKCGDlQ2Y5ucy+SoiMxNVMT7OaIEpmMwYxcbiXyYJX0S/1aeu3413flAIBfXzRm0MHkQBNZqTF3bJ/JITvQ6dILNu6vxvyntuH6f+0Nu/KboUxWgsPgsF1aBoe8C36OSMom8vAGgFKpiLCthAvxn5ypEY1QAHBlKiMVMvTaWej00vhbA+KrGicpsWD58uWw2Wx45ZVXhG1msxmvv/465syZg+xsLiS1uroap0+fdvns/v37nUSAM2fOYNu2bVixYoWwbfHixUhMTMSLL77o9PkXX3wRUVFRWLZsmT9+mmQoE5G7J8HBr76SWDA8ZxodZRPTqRKCGNlxhhvQXDQ+RVQDGrExyyEWHAgDseDjI3Wo15uQEqvEtTOygt2coHFeVjxUETK09lhwzlGSy1t0eiNWbT4ulKAMt/KboUyGoxpCl7kXnSZrkFvjO6paxVU2kYeviNAogQnsxv3V+Ns3ZwEAe8paRSUQymQMsh1CmJQqIvALq+NEMleSlFgwZ84crFixAqtXr8b999+PV155BYsXL0ZlZSWeeeYZYb+bbroJEyZMcPrsnXfeibFjx2LZsmVYv349/va3v2HJkiVIS0vDvffeK+ynVqvx+OOP4/PPP8eKFSvw6quv4uabb8Z//vMfPPjgg0hMTAzY7w01rDa70LGL5QYggOk58QC4sjjE4PTa7Cht5DrwIhILRMm205xYsGh86jB7hjczc7nn1MHK9lGtMoud2nYDnttaCgD41QX5UEXIg9yi4BGpkGGW47zvrWzz+vN6gxUPfXQirMtvhjJRkQokRHEhx1KKLqhqE6tY4Igs6AptsUCnN2L15uPCaxbiEwj5qBKpiAWWXrtwXYslskBSngUA8Oabb2Lt2rV466230N7ejqlTp+Lzzz/HggULhvxcbGwsduzYgT/+8Y944oknYLfbsXDhQjz33HNISUlx2vfOO+9EREQEnn32WXz66afIzs7Gc889h9///vf+/GkhT3WbAb12FlGRcqSLpEYrAUzP5lYZj9R0wGZnIacVWbdUthpg6bVDHSEXXcgjAdS0GXC2qRsyBlhQkDL8B8KYadnxUMgYNHSaUNdhRFaC9K7njfurserD40KpyHAWCnjmjknErnMt+KG8DUs9yNLR6Y2oaO7BmcZOPL+9DC3drubOMgbIS5be9SNFMuLVaDdYUd9hxARt6KfSsSyL6lYuSiYnUVypralCGoKrcXooUdHSI0QS8fACoVhStnKTogE0C4uRoU51Ww9sdhYxSoUQoRJsJCcWqFQqrF+/HuvXrx90nx07drjdnpWVhQ8++MCj77nttttw2223jaSJYUufX0EMGIYmpGKhMC0GUZFydJt7UdbcjcI0WjV3x5kGzq+gMD2WQtxFyI5SzhBoZm4CNFGhZyAVSNSRckzKiMPRWj0OVrVLQizob7rXY7Y5CQUA8Nhnp3DppDTRDHCDwfkO34J9le24fOrQ+27cX43V/VIOAM5r6OKiNLy2qxw2x3aNOgIqBQkxoUBmvBon6ztR1yGeVeHR0NJtQY/FBoYBshPFdV+nxXKTvKYQ9yzIT44GAzj1pXKGEZVAmO1YvKmRSGTBuX7ebmKZK0kqDYEQN2XNnAJM5obiQiGXYWoWt8x0uFr6Ocwj5XQD51dQRGKKKNnhSEFYSCkIHsGnIhyoDP17vr/p3vnrtuHS577FwOQKCpcHpmTGQx0hR7vBir3NzKCGYHzocX+hgAHw+i3FWLNsAnatWoxXb56FzHgV2g1W/H7jEdgGLj8SooP3LZBKGkJ1Gzem1MapoBSZYJWukUZkgVajxvxxfaVm5QyDJ6+ZLCrRVWppCLx/mJj+xiQWEAFDbO6eRB/Tc7hUBPItGBy+A8+IpxQasWGy2vB9WQsA8ivwlFl50jA5HGi6B8AlbBYQ32pYMIhUyARX/PfK5Fj47HduzcrchR6zAOo6OHFBq1Hjkglp+NdNxVBFyPBdaTOe+OIUdpe1iCqXmXBGqIggkcgCPuw8R2R+BUCfZ0FztznkhTSj1QYAuHPhWOxatQgri3OC3CJneL+KqtaRGbeKiY37q/HSt1z1ni9PNojGTJLEAiJgUCUE8TLdURGBxAL3bNxfjZ1nucno3745K5oOnODYW9EGk9WOtDglJmgp8sMT+IoIZxo60RXC7ugnavUupnsAcPuF+ZA7QjjFuBoWDHR6oxDiCgxezSA/2TX6z53YMjEjDuuumQIAeP37SiqnKHIy46UpFuSKzK8AAJKiIyFjAJudRWt36EYXWG12nKjTAwCWz8wSZR+a7Uij6zT1Qm8I3WeZmM0kSSwgAgLLsk6eBYS4mOaoiFDa1BXSEwd/4NKBU7kw0fH50XoAwJz8RNHk+Imd1DgVshPVsLOhKxKyLIv/7K1y2S5nGPzignzsWrUI7942V5SrYcGgoqXH4/QMOdP//wcXW+aOSUL/O47KKYoXPg2hXiJiAR92nivCiCGFXIbkGEf5xBBORTjT0AVzrx1xKoVbEVEMqCPlSHF4RFS1hW50wVBmksGGxAIiILR0W9Bp6oWMEV+JGwJIjVUhK0ENlgWO1eqD3RxRIeYOnADe21eNDw7WAgA+O6qjVU0v4EvphWoqwn/2VuPb0hbIGc6VH3Ce2Go1apw/NkmUq2HBID85GgO9Wd1VM3htZwVsLFc1YzixxRsBgggumY40hKYuMyy99iC3ZvTwYedijCwA+pVPDGGTw8OO9MvzsuNFLcTnSsC3wF3/LJb0ORILiIDApyBkJ0ZRCSuR0udbEJoTB3/BuwH3RywdeLij0xux5iNxhu2FAjMdqQgHq9qC3BLvOd3Qicc/PwUAWL10Ar5ftZiiCIZBq1Fj3TVTnAakP5qa4SSm6A1WvLuPE9x+f0nBsGKLmAe4hDNJ0ZFQKmRgWaBhEHPLUKKihRMLopXiHFPyZe8au0L3b33EEXXGp6qKFSmYHGo1atx24RjhtZjS50gsIAICmRuKH/ItcI9Wo8acMYnCazF14OEORX2MDt7k8HB1B3ptobHSqNMbseN0E+546yAsvXYsHJ+CX87PpygCD1lZnIMd9y7ARemcadn2M01o6ZdT/dYPleix2FCUHouFhSnDHs+dAEH9ozhhGEbwLajtCO0+8o3dlWh35Kf/csN+UUaU9UUWhG4awpEabvGIT1UVK3z5xOrW0L6u+VSP87I0ohK+SSwgAkJZE5VNFDvTHQ+DIzUdYN05hoUxvJvxXYvE6QYcrnhqxEa4pzA1FrEqBQwWG043dAW7OcPCl0i8ZcN+VLYaEKNU4K8rzoNs4NI2MSRajQpX57GYlBGLLlMvnv7vaQBcVZHXv68EANxx0ViPw45XFufgi99dKLxeMjHd520mfIMUyifq9EY88tlJ4bVYfTJ4saApRNMQ9EarUPL8vKz44DZmGPj05lCOLAD6omWm5ySISnAlsYAICKfquTz45GhlkFtCDMbEjDhEymVo7bGgpk1cD91gwrIsTuu4idSV52WIqgMPd7QaNdLj+voUivrwDpmMwQxH+tGBSnGnIvBGo/0jSQyWXlhDJCJCbMgY4OFlEwAAHxysxcGqdnxwsBatPRZkxqvxo6lar443QRuHcY5KR2K/lsKZTMHkMDQnsIDDJyMEIsr4NISGEBULjtV2AOBC/JNixD12l0IaAgCUO8SCMSJbWCWxgPA7G/dX44cKbvDw1JenRRkuRgBKhRwTM+IAAIdryLeAp7bdiC5zLyLkDKXRiIwukxWNXVyI54s3zKCojxHAl1AUu8mhu5QTOwvRTRBCiek58VgxMwsAsHrzMfzjm7MAgNsXjIFC7v3wsDgvNK6lcIY3OawL4TSEOFWEyzYxRpSlhngawlGHueE0kfsVAH1iQX2HMaTNO/nIArFVniCxgPArVHYutOBTEULFt0CnN2J3WYvL9aTTm3BWz0DnAxMnPjx7XGosIkYwgCb8B5cyA2QnqnHFFC1FFIyAmY4Jnrv7SEyQkZ5/eOCKIqgUMpQ2dqPJIbzJRuh6XpzHebvsp8gC0ZIhgciCL47rnF6LNaIsLTa00xCO9KuEIHZSYpVQRchgZ0O3NKjNzgoVPkgsIMIKMiALLfiKCDtLm0U9cQD68pev/9dezH9qmxCxsnF/NRY++x3+eUqOhc9+N+pIltO6TgDAhPTYUbeZ8C0HKrkVzJmO65bwnrImzny2rcfqdB+JDa1GjXsuHS+8ljFkpOcLrDY7zANW4h759OSI+n9eLDheq4fRYvNJ+wjfwqch1IXohKrTZMV/9lQBAJ6+ZoqoK6CkazixoLXHEnKr3SzLCmJBKEQWMAwT8qkIde1GWG0slAoZMkT2XCOxgPAr+cnRGLhIQatB4qWunetky1p6RD1xGJi/bGeBVR8ex6/fPIAHPnTePtpIlpIGh1igjRttswkfc8hR5pMvAUh4h05vxMOfit8ojGeMY7VlbHI0vl+1WJQThFCjoqUHA+1sRyroZyWokR6nQq+9b6JBiIv+YkEoGhn/54cqdJl7UZAagxWzskVdASUhKgIRcm4A3L/iSChQ225ES7cFEXIGkzJCY+zDiwVVISoWlLVwwn1+crToTHtJLCD8ilajxrIpfUZJYg0XI7iJw/ovzwivxTxxcBexwgL48lSjy76jjWThzQ2LtBRZICZsdlZIl5lBYsGICLXILz7KZ1ZeIj1DfIQv0zsYhhHKcVIqgjhJ16jAMICl146Wbkuwm+PCYKmFAFet49+7KgBw1TrENqEaCMMwSHWkIvDeOqECL/ZN0MZBFSEPbmM8JCeRE5NrQlQsqGgWZwoCQGIBEQCSoiMBAFedlyHacDEitCYO+cnRGDhMYAD8rDjbZftoIlmMFhsqHDlkRemhoa6HC6WNXeg29yI6Uk7nZoSEmg9ASQMJd75Gq1Fj3TVTIHeEAI5W0CffAnETqZAhNZZztg92KsJAYeDtH6rcphbyfHCgBi3dXLWOq6ZlBKPJXsNXRAg1k8NQSkHgyUnk+qzqVvGNWT1BrOaGAKAIdgMI6cOHBM0TcbgY0Tdx6C8YiHXioNWokZmgRq2jVjQ/wF1ZnINpOfF44EPOVJPB6PKaSxu7wLJAckwkUmLFXToo3OAd16fnJEAu8hUmscJPFPun9PzlJ+KN/DrtSAkicci3rCzOwYLCFFS2GJCXHDWq88+LBYeq2tFrs4+oqgLhXzLj1WjsNKO+wxi0yeB7+6qx+qPjQgnE5JhIp0gHOwus3nwcCwpToNWo0Wuz4+XvygFw1TpCxWw4zVERoanLjOQgt8Ub+EoI52XFB7Ud3pCTFNppCGIWC0LjbiNCGt5shM8nIsQJP3Ho7zEh1pSRU/WdqG03QiEDXr7RuWTeyuIcrL68EACn6i+fmT3i7ynRkV+BWDnkEAsoBWF0rCzOwbZ7FwoROYuLUoPansHoMllR08aJg0VkNupztBq1T/K/x6fHIlapQI/FJlSSIcRFZgI3FqtrD05kAe851N8ywV1KhJ0Ftp9ugk5vxP9tLUVtuxFJ0ZG4btbIn+mBRhALQiiywGqz43idHgAwzVEhKxTon4YQin4cvFgwJoXEAiLMsNlZ1DoGeLzqR4iXlcU5ePnGmQCAlBilaFNG3nOEJ142SYvLJruWzLt+djai5CwaOs34rrR5xN/DD3ZpciI+DlaRuaGvyEuOxtjUGADASYdAJjZKG7l7MT1OhQRHahshPuQyRijHSakI4iQjnpvABisNoaLZ1VQTgEsKIQA8+NEJzFu3DS/sKAMAzMpLgDoyNHLogf6RBaFTPvFMQxfMvXbEqRTITxLfxHUwshK4cWC3uRftBmuQW+MdJqtNuB/zk2OC3BpXSCwg/EpjpwkWmx0RckaUK9SEK3PGJAEAmrvN6DSJr8M1Wmz46HAdAOCns92vMKgi5Jidyg1H/vND1Yi/i48soLBncdHUZUJ1mwEMA0wPoZUPMTPRET1zql6cYkEJGY2GDORbIG6yglw+UdfpOnGWMwxWLS0SvDNkDDA+LQYs4CQsbD3VKErT5cEQPAtCyODwMJ+CkB0vehPJ/qgi5Eh3iDNVDq+pUKHS0V6NOgIJURFBbo0rJBYQfqXKYTSSlRBFecUhgkYdITzgzjlqsIuJLcd16DL1IjtRjfljB88CnJ/G1TXedqYJte3e57CxLCtEFlAagrjgUxDGp8UiTiW+B2sowl/jJSKNLCC/gtBhVi4fWdAekuHAUifDIRbUB0ks2Li/BkBfJAHvOfTrBWOxa9UivHvbXHy/ajEevnKSy2ftLERpujwYoZiGcMRRZWh6CJkb8vARzNUh5lvQvxICM7DevAggg0PCr/AlTLLJryCkKEiNRWOnGecauzEjR1xh3nwKwspZ2UOq3qlqYN6YROwub8O7+6px32VFXn2PTm+C3miFQsZgbGrohOKFAwfJr8DnTHTU0j4lVrFAxwt3FFkgds7LjkekXIbmLjOq2wzIDaFQ5nAgMyF4kQUHq9qwr6INEXIGH94xDz0Wm5OpplajdopCDRXT5cEIxciCA5WtAEJz3J6TGIV9FW0hVz6xnPcrEKG5IUCRBYSfqWrjbgC+pAkRGoxz5C+faxZXZMG5pi7sr2yHXMZghQcmRz9zpCls3F8DS6/dq+/iVzLHpsRAqQidHMlwgBcLZpFY4DP4SXhFSw8Mlt4gt8YZivIJLVQRckzJ0gAA9lVQKoLY4CMLOgxW9JgDe6+/6PAeuHZGFqZmxw9pqunrsp7BINURWdBl6oXZFuTGeMCG3RWocviMPfDhMZfylWIn1yFw7K9sC6l0FTFXQgBILCD8TLWj08lNFOcNQLinII0TC842isvN+r19XPjiovGpQnjfUFxclILUWCVaui348mSDV99FOdLixGS14UQdJ+SQuaHvSI1VITlGCZblDK7ERG27Ed3mXkTKZaIdTBHO8L4FByrbg9wSYiBxqgjEqrjA4kCmIpxp6MLXJU1gGODXF4316DMri3OE1IT+VY9ChVilAuoIbrGh07Xgg6jQ6Y149LNTwms7C6zZfCKkJt18tMy3pS2Y/9S2kBE7BLFAhJUQABILCD9T7TDtCMVwpnCmIJWbIJ8VkWeBudeGDw/VAuiLGBiOCLkMP53NDS7e8tLokMomipMTdXpYbHYkx0RSOVYfw0cX8EKZWODvxXGpMSFTXz3cKaaKCKIm0xFdsLUkcIaBL+44BwBYOlnrlejnq7KewYBhGKRruIUNvfj8op2oaOnBQIsRG8uGjEeETm/ExgM1wutQEjsosiCAdHR04Pbbb0dKSgqio6OxaNEiHDp0aNjP2e12bNiwAVdddRWys7MRHR2NyZMn44knnoDJ5OrayjCM239PPfWUP35WSMObjORS2cSQosCRhlDbbhRNSPLG/TVoN1iREqPERYUpHn/uZ7OzIZcx2FfRhvcP1Hj84KCyieJE8CvISRClEVAo0+dboA9yS5wR7kWK8gkZZuVykQXlLT343wldSAzYwwm+53zmf2cCsgJb02bAZ8d0AIDfLPQsqkAqpMZyvgWdFnE/r5KjlS7bQskjIlTFjg6DBW09XNiJWMUCyRgc2u12LFu2DEePHsV9992H5ORkvPDCC1i4cCEOHjyIgoKCQT9rMBjwi1/8AnPnzsUdd9yB1NRU7NmzBw8//DC++eYbbNu2zWVQumTJEtx0001O26ZPn+6X3xaqdJqsQq1TiiwILRKiI5EcE4mWbgvKmnqE/NNgsXF/Nf78yUkAQEu3GR8eqvU4HFGrUWN8WixO6Tpx/6ZjkDHAumumDPl5k9WGcodfA0UWiAvBryCPUhB8zUShIoK4Igt4/5AJVAkhZNBEcVV1GjvNuOM/hzzqd4nAoNMbBQEO6FuBXVCY4pfVe53eiMc+OwWbncWFBcmYnBnc8USg4VMm9SJPQ9h+psnpdah5ROQnR4ekISYfVaDVqBAVKc5puThbNQI2bdqE3bt344MPPsDy5csBANdddx0KCwvx8MMP45133hn0s5GRkfj+++8xb948Ydttt92GvLw8QTC45JJLnD5TWFiIG2+80T8/RiJUO8omJsdEIkYpmUstbBiXGoOW7jacbeoKqlig0xuxevNx4TUL7wY2Or0RJQ19Du+eDIzONXXDzgIJURHCqgARfFiWFQzT8ihayedM7Fc+0W5nRVNj+zT5h4QcOr0Rjf3Kxfl7Qkp4TkVLDwYWtORXYH19bjbur8bqzceFCVw4Cn58RYSKLgY6vQk5yeIr99trs+ON3ZUAgDVLizAlM96pSkUowBtirvrwOFhw0TOhIHaUN4s7BQGQUBrCpk2bkJaWhmuuuUbYlpKSguuuuw6ffPIJzObBy5ZERkY6CQU8P/nJTwAAJSUlbj9nNBrdpikQHNVUNjGkEYtvQUVLj5NSDHgXWjaS0LRT/fwKKNRdPLywowwdRi5a6Y7/HAoZ86JQIT85GpEKGQwWm2jqVBstNlQ4vG+KwnCiEarwq2X9CYWQ4HCAq+XuvM0fK7C80N//+f3arvKwS0mp7+DmCUfbZFj47HeifG59ebIR9XoTkmMicdP5eSHrEbGyOAe/u5iLJJ8/LjkkIpnE7lcASEgsOHz4MGbMmAGZzPknzZ49GwaDAaWlpV4fs6GBc09PTk52eW/Dhg2Ijo6GWq3GxIkTh4xcCFcEvwISC0KSvooIwRUL8pOjMXC67s3Ahg9NG0iMcvByiMJKJk1Ogk5DpwlNXSa88m0Z1n95RtgeSuZFoYJCLhM8OnjBLNiUNnaBZbkItRSK8gkZAjUhJbxHq1HjoaUThNcyxj8rsO6FfoSVYKTTG7HluE54Ldbn1mu7ygEAN8zJhSoitEtFX1DAzdnONokrnW4wQkEskExsuE6nw4IFC1y2a7VaAEB9fT2mTJni1TGfeeYZxMXF4YorrnDaPm/ePFx33XXIz89HfX09nn/+edxwww3Q6/X4zW9+M+jxzGazU4RDZyc3GLNarbBaRW6TOgIqHDnfmfGqkP99fPtD/Xd4Q34iN3A429gV1N+dHKXAuNRonG3iOlQZAzz+4wlIjlIM2q7+5ys5KgJP/HgiHvrklNPAZdXmY3j7l8WIdpMiU+IweCtIjRL1ORdz27xlsP7xir/vhkzpfoJhY1mUNXYiOUoyj7KgMz4tBsdq9ThR24ElRa5CuTv82T+erGt3tCtWUtd7MAnE8yw5SoFHfzQBf/6Mi8z0pN/2B1K5Znw9frxpbjae334ObQYrnv/ZNFwyIdXnf6ssjdIlh1zGAJmaSMmcl+E419DpNuVDTM+tIzUdOFTdgQg5g5UzM0L+3BSmqCFjgMZOM2pbuzwqs92fQI/3yxxzpZyEwM+VPP0+cVypA7Db7bBYPHMCUSqVYBgGRqMRSqXrqoNKxV0kRqN3Kt6TTz6Jr7/+Gi+88ALi4+Od3vv++++dXv/yl7/EzJkzsWbNGtxyyy1Qq92rs+vWrcOjjz7qsn379u2IivJebe8wA80mBikqFvHKwbcFi8NnZQBk6Kg5iy1bvI/sECNbt24NdhMCBlcTWIHqth58/NkWRAZRbG5slwNgcG2eDVMTWUQ3HsOWLceG/Rx/vqIBPDyduzfkDIvXzshxsr4LK/7+NS7JZJGu7rtfWBY4Vs19X+u5o9jScNRvv2u0GAzSWaEZrH/kSVOxaDQB6BdnwoBF2ZEf0Oo+U4wYAfZWBoAc3x47h/EW7/ptf/SP/6vgniORhmZs2bLF58cPZ/z9PNMASFfJ0WBisDLf5nG/7Uuk0kf6evwIAKkRMrRBhh0/HISlYuCU1jfMT5VhZyMX8cuAxXX5dhz+fhsO++XbxEeHGWAgByvi59YbpVwfOz3Rhv07vwl2c3xCmkoOnZHBhk+3Y0riyK7tQIz37SxQ3sSNN6tO7MeWMr9/pROe9o+iFAu+++47LFq0yKN9S0pKUFRUBLVa7daXgPcUGGwC746NGzfioYcewq233jpkpABPZGQkfvvb3+KOO+7AwYMHccEFF7jdb/Xq1bjnnnuE152dncjOzsaiRYuQlJTkcfsA4IODtXjUsVIqY4BHr5yA1h4r/t+ec2DBbXvixxOxYmaWV8f1JetP7wRgxLKFc4Way6GK1WrF1q1bsWTJEkREiM+cxh+wLItnT+1Ah9GK8bMuFGqwB5q2Hgs69+wAADx04xKPzDKHO1/zazpw/av7cbZThrOdAMMAj/xoAq6fnY3GThN6fvgODIDLL74IuUniDQ3jV5ekwGD9I8+z1xejus0gRIhwfdykoPZxUiSlsh0fvrYfbfYoLF3qGq3nDn/2j+/8ez+Adlxx/lQsnZ7h02OHK4F8nu0wncBHh+uRkleIpYsCXzJPKn2kL8ePPMdkZ3D6+ypEpuRhab+0BF9y/MtS7GysxMLCZDx21URoNd6t8kqBiJxarPn4FABO6v7L1YF/bun0JlS1GpCbFOV0DnR6E+7duxMAiwdXzBNMbkOdb00nsPlwPZTaAiy9eJxXnw1k/6jTm2D54TsoZAxuuPpyRMgD6w7gaf8oSrGgqKgIr7/+ukf78mkGWq0WOp3O5X1+W0aGZ4OMrVu34qabbsKyZcvw0ksvedhiCIPatra2QfdRKpVuox8iIiK8uiB1eqNTSLWdBdZ+6ixR2llg7SclWDQhPSgmJVabHTo9J9SMTYuTzATb23MV6hSkxWB/ZTsq2oyYmpMYlDaUtXIpAdmJaiTEeHctD3a+spNiYOsXG8mywMOfleCVnRWQORJtWQCX/r/vRV3uS0rX4mD9I8DlOo9Ni8MFhWlYNCEdlS2GkHNqDhUmZ3PCrk5vQo+VRXxUpMef9XX/yLIsTjdwIZqTsuIldb2LgUA8zyZnxuOjw/U409gdlPMnlWvGV+PH/kzKjAdQhTNNPX77Ox2s7gAAXHleJnKSw7OayfVz81HXYcTzOypw/phEXD83P6Df378ixcASpu8eKEOvncXcMYk4L2dkopMYmZ6TgM2H63FS1zXiazsQ/WNtBze+zUmMQpQq8OHgnv4+UYoF6enpuOWWW7z6zLRp07Bz507Y7XYnk8O9e/ciKioKhYWFwx5j7969+MlPfoJZs2bh/fffh0Lh+Z+nvJwzB0lJSfGq3SPBnWmMO/xVCscT6juMsNlZKBUypMSQKVWoMi41Fvsr23EuiBURzjT43mzQXekoAKjrcK5uQuW+gs9A8y2tRk3nwo/EqSKQnahGTZsRp3SdmDfWM98Cf9DQaYLeaIVcxmBcakzQ2kGMHD4iTSyGmUQf4x1mpqd1nWBZ1ueVf4wWG47XcpOh2fnBWWwQCxcVpuD5HRUoaejyy996MAZWpLCzwOrNx7GgMAUmix1vOsol/nJ+YAUMfzMlKx4AcKxWH9C/t7eUh4C5ISChagjLly9HY2MjNm/eLGxraWnBBx98gCuvvNJJkS0rK0NZmXNiSElJCZYtW4a8vDx8/vnng6YtNDc3u2zr6urC3/72NyQnJ2PmzJk++kWD4+6iYgC3ju+Z8cEJ+eIrIeQkRommVjfhPQWpwa+I0FeZwHerEu4qJMgY4HeLXcPVqNxXcPni7nmijeyQKnwo6qn64E7w+Ht/bEo0lIrQdugOV/hrqabNCL0xtI3TpMa41BjIZQw6Tb1o6PR9GfDD1e3otbPQalTISghvgXeSNg4RDIt2gxVlza5lRf2Fu8VFOwtc/tx3WPTsDvRYbACA1h7PfOJChaL0WChkDNp6LKjrEFflif6EQiUEQKSRBSNh+fLlmDt3Ln7xi1/g1KlTSE5OxgsvvACbzeZiCnPxxRcDACorKwFwk/3LLrsM7e3tuO+++/DFF1847T927Ficf/75AIDnn38eH3/8Ma688krk5ORAp9Ph3//+N6qrq/HWW28hMtLzkM2R0m3qdXotZxg8ec1kANwqqK1fUfnPjulw1yLv8nV8QVVrn1hAhC5C+cQglqA53ej7yAKtRo1110wR7hf+HlpQmIJ/bj/n9HClcl/BJd1LJ2Ni9EzQxuHLk40o0QW39FRJAydWUAnT0CU+KhKZ8WrUdRhxWteJOWOkE+oc6igVcoxNiUZpYzdO67p8HrG1r5JLyy3OSxTtym6giFTIkBMDlHUBB6vaAhYp1dLt6uUGAPoB84iHPjqBheOlE0GpipCjSBuLE3WdOF6rR1bC6MZwOr0RFS09yE+O9unfSBALUkgsCAhyuRxbtmzBfffdh7///e8wGo0oLi7Ghg0bMH78+CE/29raipqaGgDAqlWrXN6/+eabBbFg/vz52L17N1599VW0trYiOjoas2fPxr///W8sXrzY9z/MDX/7+iwA4KLCZNxx0Tin3N0FhSmobDHgTEMnHvnsFP7+zVn8aKo24CZtNXxkQRJNskKZglRuNb+y1QBLrx2RisAGI9ntLEodaQjjfRhZAAAri3OE+6X/PeRORJDKA5QgPEGILAhy6Pjhqg4AQGYCCUahzARtHOo6uLQWEgvERVF6HEobu1HS0IlFRak+PfZ+XiwI8xQEnvxYFmVdDA5UtgckWq5Bb8Jjn/UZK7LgFj+un5ODt36octo3mGnL/mJKZjxO1HXiWJ0eV0zRjvg4Q3k+eMpgYsNZx2JYnErc03Fxt85LEhIS8Oqrr+LVV18dcj8+ooAnLy8PLOtZaY0lS5ZgyZIlI23iqDlV34kvjuvAMMDqpRNcVlz4fN65YxLxdUkTdp1rwUMfn8Cbv5wdUGWXIgukQVqcErFKBbrMvahs7UFhWmANiqrbDDBabVAqZMjzg/DkLv99MBGBIMKFCQ6x4FxTV1BEQoAboG0taQQAvPRtOfKSoikdJUSZmBGHr0sag57WQrgyPj0WONqX8uMrrDY7DjnEvjkkFgAA8uNYoB44WNXuk+MNtdpttdlx97uH0NJtQVF6LF66cSZ0epMQJfn23irJR1BOzdLg3X3AsdqOER/DneeDtz5W/cUGBsDdF4/DrfPH4Ivj9ahp51Ikfv/eERgsNtE+4yTjWRAu/N9Wru71sinaIUMzGYbBE1dPRqRChp1nW/DmnkrsLmuBTh+Y3B3esyCXIgtCGoZhMC4teL4Fpx1RBQVpMVAEsKSMVqPG+WOTSCggwpKsBDViVQpYbWxQzE35ARoP6xigBer5RfgWsUSqEK7wBpSnG3x7bk7U6WG02hAfFYFxKWROCgD5MdyMs7ylB62DpAd4ysb91Zj/1DZc/6+9mP/UNmzcXy28p9Mb8ceNR7C/sh2xSgVevHEm8pKjhTENn4YpdywgSjWCcmqWBkCfyeFIcOf54I2PlU5vxKoP+8QGFsDfvzmH8x77Cms+OiHsZxf5M05SkQVS52hNB74uaYSMAf5wyfDVHfKSo/G7xePw169K8fCnXCjSSENovIFlWSeDQyK0KUiNweHqDodvwchDuUYCP4AZn0Y5ywQRKBiGwQRtHPZVtOGzo/VIiI4I6EByqAGa1Aa04cCkDK7/PtvYHbRIFcI9/KJTeXMPzL02nxmJ8ikIs3ITyeTaQXQEZ9Za1tyDQ9UdWDIxbUTHcbfaverD41DIZTBabFj78Qmh2tPV0zPcmueFQwRlYVosIhUydJl6UdVqQN4ITAQHMx786mQD5o5x78XBR3wkxyjx+Gen3FbecoeYn3HUY4cQfFTB1dMzPTZHueq8DKfXgVCv2g1WdJs585TRmooQwYf3LTgbhBVGvmwiv/pBEERgUDgG+C9+W+aycuVv3A3QpBgmGy5kJagRq1TAYrOjrDl4lXUIV7QaFeJUCvTaWZQ1+c6lf18FF2o/Oz/BZ8eUAjNz4gEAB6raRnwMd2IqC+De94/ioX5CAQC8s7dm0PG+1CMoI+QyIarp6AhTEewsIO+nB/D/+/ruSvz5k5Ooazc4RW33j/i49LnvsPNci8sx5QyD92+f61KRS8zPOBILQoQvT+jwbWkzZAzw+4sLPP5crZuSIf4uBVfVyj1w0uNUUEVQuatQh09DOBfENARfmxsSBDE4Or0Re8pahdeBDpFMilZC1W/1WaphsuECwzCYkCGOcpyEMwzDCNEFvkpFsNtZYTI8O58MLfszwyEWHKwcuW/BYOXT3ZnkhXvpZz4V4XitfkSff3HHOdhYYHpOPN69bS52r16Mx6+eDIYB3vqhCvOf3o7r/7UX89Ztw6/e2O+UcsBz09wcl5SP2WOSQioVhNIQQoCN+6vxwIdc/qadBX4ob/W4ugFfTz6QRibVVAlBUhQ4oljKW7rRa7MHzDvAaLGh0iE8Uek0gggcFS09LqGTgQyR3HWuGaZeO5KiI/H3n03HmBTflqsiAs9ER1rLKV0nrg12YwgnirSx2FfZJojzo+VsUzc6DFaoI+RCCgrBMTM3HgBwrE4/qrQPvroB0DfRvGBcMi54ZjtYiRsXesPUrHgAVThW571YoNOb8P7+WgDA/ZcV4fyxnPD187m5sLMsHv7kpLAvC+Drkia3x7liSgZ+s2icS8pHKKWCUGSByNHpjVjVz+gJ8G6Fhzcy4WEY+F29qqZKCJIiQ6NGVKQcVhuLqrbAKdSljV1gWSApOhIpscqAfS9BhDu8yNyfQA46Pz+mAwBceV4G5o9LFvUgivCMiRRZIFr6Igt8Ixbsc/gVzMiNR0QAjYlDgdzEKCRFR8LSa8eJEUxgAeDdvdVg0bfavWvVIqwszkFmQhSeCqHV6kDARxacqNPDNnDJfxhe/q4CFpsdc/ITBaGAp8DDVHD+uTlYykeopILQXSxyKlp6MNDE09uwopXFObj1gjwAwCVFaX4vzcFPKHNJLJAEMhkjeGR8flQXsFBk3q+giPwKCCKgDBSZZQEQmXlMVhu2nuRKJi6bGlhDVcJ/9K+IMFJncsI/8M/Y0z6qVrG/ghMLivOoZOJAGIbBjFzOx+HACFIRLL12vLu/BgDwqwvGuEw0VxbnYNeqRU4iQjgzNiUGUZFyGCw2lHvhl9JhBt4/yEUV/P4S19TvwQT11UuLJCnWkFggcmKVrpkiI1nhubiIc109UT/yEiKeQmkI0oM3O3vu69KAmZ0JfgVUCYEgAs7K4hxc6Zis33x+XsAGnTvPtqDL3Iv0OBVm5pA5mlQoSIuBQsZAb7SiXm8KdnOIfoxP48SCpi7zqEv6sSwrVEKYTWKBW2bxYkGV92LBV6ca0NxlRkqsEpdOcl9NIVRWqwOBXMZgckZfCUVP+bpeBquNxey8RJw/xtV3Y7Dyk79eMFaSYg2JBSJnx5lmp9cjVaqm5cRDIWOg05tQ58b00JdQGoK00OmNOFzdIbwOlNkZb7ZEkQUEERyK87nBPu8dEgg+P1YPAFg6RUsl1ySEUiEXItQoFUFcRCsVwnjtzChTEWrbjdDpTVDIGEwnsc8ts/K4v8uhqnavF+/e2lMFAPjZ7BxK8fCQKVm8WNDh0f7H6/T4voF79vz+kgK35RGBwaM4pCjW0JUmAho63avsNjuLd/dxK7h//tGEUSlVUZEKTMrkbhhe9fUHJqtN+D0kFkiDoczO/AXLskJkQRFVQiCIoDDJsSJzIkCTO5PVhq9PcSkIPzqPUhCkBvkWiBf+OTta34J9jhSEKVkaqCOpGpY7JmdqEKmQobXHgspWz8dRpY1d2FvRBrmMwc9mZ/uxhdKC9y34vl+Jw8HYuL8a1760F3ZHkcSaYXy6pCgMuIPEAhGw7B+73YZ1bzvdhHq9CQlREbh+Tu6oL8hiR+jT/lGUbBmO2nbuxlJFyGDutfnte4jAEQyzs+ZuM9p6LJAxQEEqiQUEEQwmaGMhY4DmLjOaBhG1fcmOM03osdiQGa/G9Ox4v38fEVj6fAtGZuxG+I8irW/KJ35byjnC8+eacEWpkGOqY/HugBeLd//5gYsqWDIhTfKTU19S084JBOeaeoZMo9XpjVi9+bjT4tiDHwWuZLCYIbFABAwW1v32Xq5jWDErG6qI0Su0fEgpbz7jD/jOzGS144Kntwckt53wL8GoqMGHQuYlRdPqBEEEiahIBcakcKHjJwOwGsxXQVg2VTto6CcRuvQ3OSTExQQfRBZs3F+NT49y9/A7+6pp/DcEMx2pCFuOe2Ya3W3uxeZDdQCAn5+f69e2SQmd3oj/++qM8HqoNNryph4MLJjg7yjaUIHEApEw8IKsaTPg21LOr+D62b4xyOBNVc42daO9x+KTY/ZHpzfijd1VwutA5bYT/mdlcQ5+s3AsAGD+2GS/m7ac1lElBIIQA5MdoeMjLfPlKQZLL75x1KleNoVSEKTIBIdYUNNmRKfJGuTWEP0Z7xALzjR0eV1iDuhbleVhafw3JEYLF3m7/UyzR6bRb+yuRLe5FzkJaswb62q4R7inosVzAeBwjWvUdSBLBosZEgtEAgM4XZBv760GywIXFiQjLznaJ9+RFKPE2BTuWCNxYR2OYOS2E4HjisnpAICjNR3otdn9+l1UCYEgxMFkR7isvyMLtp9uhtFqQ3aiWsgxJaRFQnQkMjQqAH2CMCEOcpOiHemjdlSNwNDUm0lZuKPTG4UoXGD4hbX39lVj/Zfc6nhNuxHvH6gJSDulgLs0WgZAbpJzZGxtuwEv7ijj3nfsH8iSwWKHxAKRwAI4VNUBADD32oTO4Ma5vg03ms2nIvjB5DDfjahBqpx0mJShQaxKgS5zr98nDlQJgSDEAW9Kd6Lev5EFHxzknnkXFaZSCoKE4a+nL47V06qziJDLGKGE4khSEfLclMqm8Z97vBFWXCI2QBEb3jCwxCHA/Q2/ONbQ95plsXrzcfRYbCjOS8COP16I3060Yce9CyRT+nC0kFggAn46KxMAsGrzMdS2G/C/Ew1o67FAq1Hh4qJUn37XrFz/iQUpMUrI+0l4Iy3zSIgTuYzBXEe92d1lrX77nl6bHWebugFQJQSCCDZ8RYTadiP0Bv+Ejr+5u1IoE/z23irKdZYwfKW4N/ZUeRR+TQSOonROyNl6qsHryWhbj3PfQOO/wXG32g0AmfEql21v7qmiiN1R0r/E4b2XFgIAnvrfaexxjGM/OFiLnWdboFTI8PS1U5GRoEaBhoVW43o+whUSC0TAPUsKMD0nHl2mXvzmP4fw/PZzAICfFudA4eM6qnxkwfFavZAz5SvKW3pgs7NQR8jwzq/mjLjMIyFe+Fy53WUtfvuO/ZXtsPTaoYqQITuBViUIIpho1BHITuQG/Cf9EF2g0xvx8KcnhdeU6yxddHojtp1uEl6Tr5G4MFh6AQAfHa73Wsj5+DBnvre4KHVUZb7DAXer3QDw8nflTq//d6IBL39b5vJ5itjwHr7E4W8XjcM10zNhs7O4+91D+KakEY98cgIAcM+SQsHQl3CGxAIRECGX4e8/nQ6lQobjdXqUNnKrqv5wgc9KUCMtToleO+vWzGM08LWTJ2ZoMG9cMinKEmTe2GQAXGSKpdf3vgUb91fj+n/9AICrqMGHJhMEETwmO6IL/JGKQF434QOda/Gi0xvx+XGd8NobIcdmZ/Hp0XoAwM9m54RF3fnR0n+1+68rpoJhOK+y57efw+6yFnx0uA53v3sIdhaYmZsAuUNXoIiN0cEwDP7ykymYoI1DS7cFt75xAAYrN5aNVSmC3DrxQn8ZkaCQMy6Tr6f/expXnqf1aafAMAyK8xLx+TEdDlS2C5M/X1DiKIdE9XWlS2FaDJKiI9HaY8GRmg4hUsUXuKtxu2bzCSwoTKEHI0EEkcmZGvz3RINfvErI6yZ84MOv++dr07kWBxUtPUKKCA8v5Az3/N1T1oqmLjPioyJwUWGKH1spLbQateNvm4SmLjOe+d8ZwciQZ+mUdPz9p9PR3G1GZYsBeclRNB4aJepIOR778USseOkHp+1rPz6JRUWpSI6iqfFAKLJAJARScfeXySFfO3kCiQWShWEYnO9IRfj+nG9TEchNmSDEyUQ/lk9Mj1NBqegbitDKmXThw695yG1cPLjLo/dUyPnIkYKwbIoWkQqaVoyEq6dluN2+6vIiKOQyIYye7hXfYLW5lgel8ebg0F0tEkbTUXsLb3J4qKrdpyXwhMiCDBILpAwfjbLHxyaHgbwHCILwHD4NobylBz3mXp8eu7bdCHOvHREyBv+5dTblOkuclcU5WDIhDQDw64vG0LkWCbyQ0/8R7ImQY7TY8L8TXPrCT6Zn+rGF0qay1f0kta7DFOCWhAc03vQOEgtEwkDDE3+uroxPj0WsSoEeiw0lPqp13NRlQku3BTIGQvkdQprwJoeHa9oFQyRfoNWo8ehVk4TXtOpEEOIgJVaJtDglWLavrKmv4CPSCtJicUEBpRyFA1OzOPGpsdMc5JYQ/VlZnIPXf1EMAFApZPjxtOEn/1tLGtFjsSErQY2ZuQn+bqJkoclrYAnknEsKUGKGiFhZnIMFhSl+z0uSyxjMzE3AjjPN2FfZhimOB/do4M0N85Kj/WLMSIiH3KQoZGhUqNebcKCyHQt8mKN4XnY8ACBOpcCXf1xAHTdBiIRJGRo0djbhRF0nZub6zqukhNLXwo5xqZzjeJmjRC4hHi4qTEFKrBLNXWbsr2zDhQVDP98/caQg/GR6JhjGTT1AwiP4yeuazSdgY1mavAaAQM25pABFFoiMQOUlFedxg70vT+h8UraIj1Agc0Ppw/kWcKkIu32cinCmgbuOJmdqqOMmCBEx2ZFe5uvyiX1iAUWkhQu8WHCuqRvsQFc9IqgwDIOFjgWAHWeah9y3tduMb0u5fTyJQiCGpn+FBErHCgzkBeEZJBaEKV0mKwBgX2W71/V03UGrQ+HF/HFcKsKeMt+aHJY2cmJBIaWyEISomMiXT6zzbRoCCc3hR25SNOQyBj0WG3R673KyH3kEePxx/7SL4Fg4PhUAsONM05D7vbOvGr12FkXpsYIARIwOmrwSYkRSYkFHRwduv/12pKSkIDo6GosWLcKhQ4c8+uwtt9wChmFc/hUVFbnsa7fb8cwzzyA/Px8qlQpTp07Fu+++6+uf4zd0eiNe+a5ceO1NPd3BOEXmhmEFXxHheJ0eeqPVZ8c908iFpY5PJ7GAIMTE5Eyuby9t7IK51+aTY3aZrKhu44y9SGgOHyIVMuQlcbnY57xMRZDLgT//2XPB4OmnvW0dcUFBMuQyBmXNPahpc2+8t3F/NZ79qhQAFxE42gUngiDEi2Q8C+x2O5YtW4ajR4/ivvvuQ3JyMl544QUsXLgQBw8eREFBwbDHUCqVePXVV522aTSu+fwPPvggnnrqKdx2220oLi7GJ598guuvvx4Mw+CnP/2pz36TvxiqRN1I1EyT1YbyZu6BT6tD4YFWo8aY5GiUt/TgzT2VWD4zyydK+BmHeRpFFhCEuMiMVyM+KgIdBivONnZjcubovW74tKP0OBUSoiNHfTwidBiXGoOy5h6ca+r2yvdm7Vruv3/+s/Nrdzz+OPDkk6NoZJiiUUdgRk489le2Y0dpM34+N9fpfZ3eiNWbjwuvWXALTgsKyaCUIKSIZMSCTZs2Yffu3fjggw+wfPlyAMB1112HwsJCPPzww3jnnXeGPYZCocCNN9445D51dXV49tlncdddd+Gf//wnAOBXv/oVLrroItx3331YsWIF5HJxG/zxrqv9BYPRuK6eaeiCnQUSoyORGqv0USsJsZMSq0R5Sw+e/aoUz20txbprpowqx67DYBHcsQvTKKSRIMQEwzCYlBGH78+14kSd3idiAfkVhC/jUmPw5clGnB2ByaEngsHjj3Pvr1lDgsFIWDg+Ffsr2/HtmSYXscDXC04EQYgbyaQhbNq0CWlpabjmmmuEbSkpKbjuuuvwySefwGz2rESPzWZDZ+fgOZmffPIJrFYr7rzzTmEbwzD4zW9+g9raWuzZs2fkPyJA8K6r/cu03H/F+BF38vyAb6I2jtxwwwSd3oh9FW3Ca1+kspQ6UhAy49WIVUWMuo0EQfiWybxvgY9MDk85/AooBSH8KEjlBKKRVkRYuxZ47DH3KQm8UPDYY8ADD4y2peHJRY5oj91lrS5pR9Zeu8v+VOaPIKSLZMSCw4cPY8aMGZDJnH/S7NmzYTAYUFpaOuwxDAYD4uLioNFokJiYiLvuugvd3c4PssOHDyM6OhoTJkxw+R7+/VBgZXEOvl+1WFjBVSlGHg1Bq0PhR0VLDwZ6WPMrCyPljGBuSFEFBCFGJjmiCX4ob/VRFR0yxg1XhIoIzSMvn+hOMOgvFAyVokAMzaSMOKTEKmGw2LC/ol3YzrIsXthRBgDgl4aozB9BSBvJpCHodDosWLDAZbtWqwUA1NfXY8qUKYN+XqvV4v7778eMGTNgt9vxv//9Dy+88AKOHj2KHTt2QKFQCN+TlpbmsoLe/3sGw2w2O0U48BEMVqsVVqvvTOI8JTlKgWumZ+Cp/5Xiv8frcX3xyErf8KW0xqdGB+V3BAL+d0n193lLlkbpksoiY4BMTeSI/0anHddRgQ+uo3A5X1L6fWLrHwlXKpo4Qe9cUw/mP7UNT/x4IlbMzBrR/Wazs4JHSUFKFJ3jACKG/jE7nvOoaOuxoKGjB0kj9Kz4/+3deXyU5bn/8e9kEiYJkISQQBIggkAS2YRgUNQCkSOCSO1pWYpaxXPU04r7kRZcy6GCHpdWbXGj1R6k1Rqh9VdRiiWyKmsoi2ExEGJgAiSQhIRsZJ7fH2EGhklgEkLmmZnP+/Xij3mWmfvhnueayTX3fd0zZ0r19SF65hmrfvUrQ7W1Fj37bL1mznSori5wYqQv4uP3+nTW4pxDWpFbpKt7NiQKP995WOv3H5MtNETv/8dVqjnlUHJspBKjwwPm//pSMMM9B+8EU195e42mTBY4HA7V1tZ6dazNZpPFYlFVVZVsNs/58uHh4ZKkqqrz/woyb948t8c//vGPlZKSoieffFJZWVmuwoUX8zrz5s3T7NmzPbZnZ2crMtI3w7fCqiUpVOv3H9Nf/rZUHZo5+tthSNsLrZIsOrp3q5Ye2tr6jTSR5cuX+7oJpjG5l0Uf7AtRw+8Lhib3cihn7Qq1dGzN17kN76OT9jwtXfptq7Qx0Pvr5MmWj+QwGzPGR5xRWiP9ZkvDPSo1xP4n/7pTdQXbFHP6I7E599uRKqmqLlRhIYZyN6zUbmawtTlfx8dYm1XHaixa9P++UJ+LGFwyZIgUGnqLamutCg2t15Ahf9fSpQ37AiVG+iI+RlVYJFn1aU6+rjTyVFsvzftXQwwYlXBKh7avkySVSC3+3A82vr7n4L1g6Ctv46MpkwWrVq1SZmamV8fm5uYqLS1NERERjdYlqK5uWMM3IqL5w6MeffRRPf300/riiy9cyYKLeZ1Zs2bpsccecz0uLy9Xjx49lJmZqc6dOze7fa0ly/6VcotOyNL9St08tHmjCwqOnVTN12sUZrXorh+OVZg1YGa2uKmrq9Py5ct14403KiyM+fSSdLOk7qv266Xle5We3Elz7h7W4ucyDEPPbv1SUp0mjbnuolfVCJb+Ol99FX9j1viIBl/vOyZjyya3bYYs6j34GqV379js++2zHUXS1m26IjFat4y/5lI0GU0wS3xcXLxFK/cWK773QN2c0aPFz/PccyE6dcqqdu0M1dZalZNzi558smFefaDESF/Ex+uq6vR/87J1uMqiQcMz9cm/7DpW860Somz637uvU2Q7U/4JYUpmuedwYcHUV97GR1Pe6WlpaXr33Xe9OtY5/D8xMVF2u91jv3NbUlJSs9sRERGhzp0769ixM4XcEhMTlZ2dLcMw3KYiePM6Nput0VEJYWFhPn1DjhuYqNyiE/rnrqO67ZqezTp379GGkRQpXTsqMjzwV0LwdV+Zzb/1T9BLy/dqV9EJWUKsCm1hsuhIebVKq+oUYpFSE2MUFtY6K4oEen8F0rWZNT6iQZ+EqEZX0endNUphYQ1fJZrTV3uONPyi0S8pmv71EV/fW327dtTKvcXaX1LV4nbMmSPNnu2sUWA5XbPAKqvVqqefDpwY6Yv4GBcWpvTkTtp04Lg+zrHr92v2S5Jm3XyFottTn6AlfH3PwXvB0FfeXp8pkwUJCQmaNm1as84ZPHiwVq9eLYfD4VbkcP369YqMjFRKSkqz23HixAkVFxcrPv7MGsCDBw/WggULlJubq379+rm9jnO/vxk7IEGvLN+j1XuLVVFzSh1s3r8tKFAV3Pp26aiOtlCdqDml3YdPqH9Sy5ZTcxY37BnXXuGtlCgA0Hqcq+jMXLxdxumEgbOoWUvmdvLZAVeRwxauiNBYMcNzl1V8+OGLbWVwG5Uar00Hjuu32Q1TA6+6rJO+f2Xzf3wD4L8CZsz4xIkTdfjwYS1evNi1rbi4WB999JEmTJjglpHNy8tTXl6e63F1dbVOnDjh8Zxz5syRYRgaO3asa9utt96qsLAwzZ8/37XNMAy9+eab6tatm6699trWvrRLrm+XDro8rr1q6x3K3nWkWed+wxe+oGYNsWhwcowkacuB4+c/+Dx2FzXcf6ldWVEDMKspGcn64N6GKQPtrBb9KL17i5+LZAH6dm15suB8qx6cvUrCCy+0RkuDV+05yyQO792ZJbKBIGPKkQUtMXHiRF1zzTW6++679c033yguLk7z589XfX29R1GY0aNHS5Ly8/MlSUVFRRoyZIimTp2qtLQ0SdKyZcu0dOlSjR07Vrfeeqvr3O7du+uRRx7Riy++qLq6OmVkZOivf/2rVq9erUWLFslq9b9fRS0Wi24akKA3vszT5zuLNKEZWWPnF76LnWMO/5We3Emr9xZrS0GpfjK8Zc+xx7VsIskCwMwyesaqgy1UFTWntPdIRYv+2C89WatDZQ11flITuOeDVZ/4hr63l1U3a1SjN8sjnjvCAM1nL6tyjShwmp+dp9uuTmaZRCCIBMzIAqvVqqVLl2rKlCl67bXXNGPGDMXFxWnFihVKTU0977kxMTG65ZZbtHz5cs2aNUs///nPdeDAAc2dO1effPKJ27QGSXr++ec1d+5cLVu2TNOnT1d+fr7ef/993XbbbZfyEi+psf0TJEnZu46ouq7eq3PKqupUeLyhZgHJguCVflknSdLmixlZcLjhlyX+cADMLSTEogHdGuL99sKyFj1Hrr0hOdgtJkLREYE9JxRNi44MU1yHhlGfeV6OLvAmUeD09NPSE09cbCuD1/7iSrcaJZJUbxjKLw6MFSYAeCdgRhZIUqdOnbRgwQItWLDgvMc5RxQ4xcTEaOHChV6/TkhIiGbNmqVZs2a1pJmmNKh7tBKjw2Uvq9aavcX6t35dL3jOrtOjCrrFRCg6ki98wWpwjxhZLA0rYxRX1Li+/HnL4TC0l5EFgN8Y1D1GX+87pu0HyzS5BVXsmYIApz5d2qu4okZ7j1Toyh4xFzy+vt67RIHTL34hzZ17cW0MVr3i2jda1LRnHEvZAsEkYEYW4OJYLBbddHp0wec7i7w65+t9JZKkXnxwBLXoiDD1PV2oqiV1CwqPV+lkbb3aWUPUszPvJcDsBnZrKGS67WBLRxY4p6+RHAx2fbs0vAe8rVvwy196nyjAxXEWNbWerlFgtVhcRU0BBA+SBXBxJgv+sbNIq/celb2sqsljP9xYoF9/sVeStPbbEn24saBN2ghzSk8+PRWhoPnJAudKCL27dGjx0osA2s6g7g3Jglx7uUcBNG/kFjGyAA0udkUEXFpTMpK1Zmam/nzvNVozM1NTMpJ93SQAbYxv5nDJ6NlJ7dtZVV59Sj/5/QZd9/yKRpMA9rIqzVy83fXYkPTE4h3nTS4gsDnrFuQcKG32uc7ihqmnK2MDMLfk2EhFhYeq9pTDdf9661S9Q3tO1yghWQBnsiDvKMkCs0qMjtDw3p0ZUQAEKZIFcDlaUaPK2jPFDR1G40mAz3cUudbZdqLoTXBzjiz4V2Fps39pdC6bmEJxQ8AvWCwWDTw9umB7M6ci7CuuVO0ph9q3syo5lmlHwc45he1ASaXXxZUBAG2HZAFc9hdXemxrSAKc2b5671E9/1mux3EUvQlul8e1V0xkmGpOOVzzkb11ZmQByQLAXwzsFiNJ2tbMFRG+yiuWdLp4WgjrtQe7+I42dQwPlcOQ8ks8v4MAAHyLZAFcnJVvz/Xe2nztO1qh11fs1X+8u1E1pwyldu3gOpaiNwgJsWjI6UrWzVlCsa7e4Rp+ykoIgP9w1i3Y0YyRBR9uLNAvP/mm4bxD5dS6gSwWC3ULAMDEAmrpRFwcZ+XbJxbvUL1h6HQBXC375rCWfXPYddyApCh9fP+1OlZZq/zik+oZF0miABp6WSdl7z6qLQXH9R/q5dU5+cWVqqs31L6dVd1ieA8B/sK5IsKuonLVeDH1yF5WpVmLt+vsGWxPLN6hESnxfH4EuT7xHZRTUEqyAABMiGQB3EzJSNaIlHhXEiDnwHHd/6cct2O+sZfrWGWtEqMj+JIHF2fdgpyCUq/Pca6E0LdrR4YkA36ke6cIxUSGqfRknVdFDvcXV7qt1y6dqXXD50hw63u6uO1ekgUAYDpMQ4CHsyvfxrRv57HfYYhihvBwZY8YhVikg6VVKiqr9uqczfkNUxZ6dOKPBcCfWCwW1+iC7QcvXKekV1x7nZsOpNYNpLNWRCBZAACmQ7IA59VYHQO+4KEx7W2hSktoWAptS8GF6xZ8uLFA767LlyT9fZud+cuAn3HVLTh04WSBNcQi61kfJtS6gVOf+IZ6Nd8eqVDhcX6IAAAzIVmA83LWMbCeLmDAFzycz9DLGqYiXKjIoXP+spOhxpfpBGBezhURvBlZsGD1fp1yGOqXGKU/33u11szM1JSM5EvcQviDtadXyDjlMDTif7NJHAOAiVCzABd0bh0DEgVoSvplMVr49QGt3HNE95T1avK9wvxlwP8NPD2y4NsjFao9z9/9JRU1WvjVAUnSjJtSNbx3XFs0D37AXlalJ5ecSRw7DApfAoCZMLIAXjm7jgHQFHtpQ62Cb49U6rrnVzT5C1GvuPYe25jeAviXpOhwdW7fTqcchg6dZ/T4O6v3q6quXoO6R2tUanzbNRCmd77EMQDA90gWAGgV9rIqvfSP3a7Hzl+IGptaUHfqzNKcEtNbAH9ksVhcowu+q2x8NZNjlbX6v6/yJUkP3dBXFgurnuCMxuoihVhE4hgATIJkAYBW0ZxfiN5YmSfDkK7uFas/33sN85cBPzXo9IoIBRWNJwH+sGa/TtbWq39SlEZf0aUtmwY/cG5dJEnqGhWuhKhwH7YKAOBEsgBAq2jsFyJLI78Q2cuqlLX5O0nS4zelMr0F8GMDu8dIkr5rJFmwu6hcC9bskyQ9NJpRBWjclIxkrZmZqXfuHKqIsBDZy6r1Re4RXzcLACCSBQBaSWO/ELWzhrg9lqS3V+1TXb2hYb1ildEztq2bCaAVDTw9ssBeJe0vrnBt/3Bjgcb+ZrWq6xySGqYjAE1JjI7Qjf0SNO26XpKk11fslWEYjR5rL6vSurxiVs8BgDbAaggAWo1z5Yx9Ryv1q79/o9yiE3rmbzv15k+GSpKKK2r05w0NRQ8fvKGPL5sKoBV8udv5C7BFN726TpMzuis81Ko/nl79wOmpJTs0KpUK9zi/e67vpffW5mtbYZm+3HNUmanuU1c+3FigWYu3y2E01DaY98OBTGEDgEuIkQUAWlVidISu6xOnV6YMVmiIRZ/vLNJn2+2SpN+v2a/qOoeu7B6t6/uwfBrgz+xlVXrirGXvDEkfbiz0SBRIVLiHdzp3sOmOaxr++H/tn+6jCw6VntTMj7e7auOcr4guAKB1kCwAcElckRiln43qLUl65pOdKig56Vpr/QGqogN+r7GippJ0XZ/OOvfuZmlUeOveEZfLFhqinIJSrf22RJJ0vLJWD3+wVee+3UhCAcClRbIAwCXzwA191Du+vY6eqNGtv1urippT6h3fXqPTqIoO+LvGippaLRa9NOlKPf+jM/VLWBoVzdGlY7imDmsYXfDSP3br7VV5uvHXK7Ux/7jHsSShAODSIlkA4JKxhVr1wo8GSZKOn2wocLbvaKU+Or0aAgD/5Sxq6kwYhFjkSgo4K9yzNCpa4qcje8tqsWjrd6Wau3SXiitqFdehnR68oQ9JKABoQxQ4BHBJdesUIYvkGj5qqGGe6YgUip0B/m5KRrKG9+qkvyzN1uSbM5Uc19G1LzE6gnscLWLIUP05qyEcq6zVbVcn67ark5VffFI94yJ5fwHAJcbIAgC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+ "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "def plot_series(series, y=None, y_pred=None, x_label=\"$t$\", y_label=\"$x(t)$\"):\n", + " plt.plot(series, \".-\")\n", + " if y is not None:\n", + " plt.plot(n_steps, y, \"bx\", markersize=10)\n", + " if y_pred is not None:\n", + " plt.plot(n_steps, y_pred, \"ro\")\n", + " plt.grid(True)\n", + " if x_label:\n", + " plt.xlabel(x_label, fontsize=16)\n", + " if y_label:\n", + " plt.ylabel(y_label, fontsize=16, rotation=0)\n", + " plt.hlines(0, 0, 100, linewidth=1)\n", + " plt.axis([0, n_steps + 1, -1, 1])\n", + "\n", + "fig, axes = plt.subplots(nrows=1, ncols=3, sharey=True, figsize=(12, 4))\n", + "for col in range(3):\n", + " plt.sca(axes[col])\n", + " plot_series(X_valid[col, :, 0], y_valid[col, 0],\n", + " y_label=(\"$x(t)$\" if col==0 else None))" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "subslide" + }, + "tags": [] + }, + "source": [ + "### Compute baselines\n", + "\n", + "Let's consider naive forecasting to provide a baseline for comparison.\n", + "\n", + "We will just predict the last observed value." + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": { + "editable": true, + "execution": { + "iopub.execute_input": "2025-03-07T05:32:32.585442Z", + "iopub.status.busy": "2025-03-07T05:32:32.585236Z", + "iopub.status.idle": "2025-03-07T05:32:32.589344Z", + "shell.execute_reply": "2025-03-07T05:32:32.588954Z" + }, + "slideshow": { + "slide_type": "" + }, + "tags": [] + }, + "outputs": [ + { + "data": { + "text/plain": [ + "np.float32(0.020211367)" + ] + }, + "execution_count": 7, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "y_pred = X_valid[:, -1]\n", + "np.mean((y_valid - y_pred)**2)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "subslide" + }, + "tags": [] + }, + "source": [ + "Plot a prediction." + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": { + "editable": true, + "execution": { + "iopub.execute_input": "2025-03-07T05:32:32.591135Z", + "iopub.status.busy": "2025-03-07T05:32:32.590958Z", + "iopub.status.idle": "2025-03-07T05:32:32.698219Z", + "shell.execute_reply": "2025-03-07T05:32:32.697571Z" + }, + "slideshow": { + "slide_type": "" + }, + "tags": [] + }, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plot_series(X_valid[0, :, 0], y_valid[0, 0], y_pred[0, 0])" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "subslide" + }, + "tags": [] + }, + "source": [ + "Let's consider a simple linear model as another baseline." + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": { + "editable": true, + "execution": { + "iopub.execute_input": "2025-03-07T05:32:32.700154Z", + "iopub.status.busy": "2025-03-07T05:32:32.699977Z", + "iopub.status.idle": "2025-03-07T05:32:32.743673Z", + "shell.execute_reply": "2025-03-07T05:32:32.742969Z" + }, + "slideshow": { + "slide_type": "" + }, + "tags": [] + }, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "2025-03-07 05:32:32.711495: E external/local_xla/xla/stream_executor/cuda/cuda_driver.cc:152] failed call to cuInit: INTERNAL: CUDA error: Failed call to cuInit: UNKNOWN ERROR (303)\n" + ] + } + ], + "source": [ + "np.random.seed(42)\n", + "tf.random.set_seed(42)\n", + "\n", + "model = keras.models.Sequential([\n", + " keras.layers.Flatten(input_shape=[50, 1]),\n", + " keras.layers.Dense(1)\n", + "])\n", + "\n", + "model.compile(loss=\"mse\", optimizer=\"adam\")" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": { + "editable": true, + "execution": { + "iopub.execute_input": "2025-03-07T05:32:32.745522Z", + "iopub.status.busy": "2025-03-07T05:32:32.745313Z", + "iopub.status.idle": "2025-03-07T05:32:36.015539Z", + "shell.execute_reply": "2025-03-07T05:32:36.014935Z" + }, + "slideshow": { + "slide_type": "subslide" + }, + "tags": [ + "hide-output" + ] + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Epoch 1/10\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\r", + "\u001b[1m 1/219\u001b[0m \u001b[37m━━━━━━━━━━━━━━━━━━━━\u001b[0m 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"\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\r", + "\u001b[1m219/219\u001b[0m \u001b[32m━━━━━━━━━━━━━━━━━━━━\u001b[0m\u001b[37m\u001b[0m \u001b[1m0s\u001b[0m 1ms/step - loss: 0.0099 - val_loss: 0.0093\n" + ] + } + ], + "source": [ + "history = model.fit(X_train, y_train, epochs=10,\n", + " validation_data=(X_valid, y_valid))" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": { + "editable": true, + "execution": { + "iopub.execute_input": "2025-03-07T05:32:36.017542Z", + "iopub.status.busy": "2025-03-07T05:32:36.017336Z", + "iopub.status.idle": "2025-03-07T05:32:36.123734Z", + "shell.execute_reply": "2025-03-07T05:32:36.123122Z" + }, + "slideshow": { + "slide_type": "" + }, + "tags": [ + "hide-output" + ] + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\r", + "\u001b[1m 1/63\u001b[0m \u001b[37m━━━━━━━━━━━━━━━━━━━━\u001b[0m \u001b[1m0s\u001b[0m 13ms/step - loss: 0.0106" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\r", + "\u001b[1m63/63\u001b[0m \u001b[32m━━━━━━━━━━━━━━━━━━━━\u001b[0m\u001b[37m\u001b[0m \u001b[1m0s\u001b[0m 969us/step - loss: 0.0096\n" + ] + }, + { + "data": { + "text/plain": [ + "0.009313036687672138" + ] + }, + "execution_count": 11, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "model.evaluate(X_valid, y_valid)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "" + }, + "tags": [] + }, + "source": [ + "As expected, the simple linear model is better than naive forecasting (MSE of 0.006 versus 0.020)." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "skip" + }, + "tags": [] + }, + "source": [ + "One could plot training and validation losses against epoch to check training ok." + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": { + "editable": true, + "execution": { + "iopub.execute_input": "2025-03-07T05:32:36.125750Z", + "iopub.status.busy": "2025-03-07T05:32:36.125573Z", + "iopub.status.idle": "2025-03-07T05:32:36.223297Z", + "shell.execute_reply": "2025-03-07T05:32:36.222629Z" + }, + "scrolled": true, + "slideshow": { + "slide_type": "skip" + }, + "tags": [] + }, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "def plot_learning_curves(loss, val_loss):\n", + " plt.plot(np.arange(len(loss)) + 0.5, loss, \"b.-\", label=\"Training loss\")\n", + " plt.plot(np.arange(len(val_loss)) + 1, val_loss, \"r.-\", label=\"Validation loss\")\n", + " plt.gca().xaxis.set_major_locator(mpl.ticker.MaxNLocator(integer=True))\n", + " plt.axis([1, 10, 0, 0.05])\n", + " plt.legend(fontsize=14)\n", + " plt.xlabel(\"Epochs\")\n", + " plt.ylabel(\"Loss\")\n", + " plt.grid(True)\n", + "\n", + "plot_learning_curves(history.history[\"loss\"], history.history[\"val_loss\"])\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "subslide" + }, + "tags": [] + }, + "source": [ + "Plot a prediction." + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": { + "editable": true, + "execution": { + "iopub.execute_input": "2025-03-07T05:32:36.225254Z", + "iopub.status.busy": "2025-03-07T05:32:36.225077Z", + "iopub.status.idle": "2025-03-07T05:32:36.450973Z", + "shell.execute_reply": "2025-03-07T05:32:36.450233Z" + }, + "slideshow": { + "slide_type": "-" + }, + "tags": [ + "hide-output" + ] + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\r", + "\u001b[1m 1/63\u001b[0m \u001b[37m━━━━━━━━━━━━━━━━━━━━\u001b[0m \u001b[1m1s\u001b[0m 24ms/step" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\r", + "\u001b[1m63/63\u001b[0m \u001b[32m━━━━━━━━━━━━━━━━━━━━\u001b[0m\u001b[37m\u001b[0m \u001b[1m0s\u001b[0m 910us/step\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "y_pred = model.predict(X_valid)\n", + "plot_series(X_valid[0, :, 0], y_valid[0, 0], y_pred[0, 0])\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "" + }, + "tags": [] + }, + "source": [ + "Not great in this case but this is just one example." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "subslide" + }, + "tags": [] + }, + "source": [ + "### Using a simple RNN\n", + "\n", + "By default, the hyperbolic tanget activation is used (more on activation functions for RNNs shortly...)." + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": { + "editable": true, + "execution": { + "iopub.execute_input": "2025-03-07T05:32:36.453915Z", + "iopub.status.busy": "2025-03-07T05:32:36.453718Z", + "iopub.status.idle": "2025-03-07T05:32:36.494969Z", + "shell.execute_reply": "2025-03-07T05:32:36.494328Z" + }, + "slideshow": { + "slide_type": "" + }, + "tags": [] + }, + "outputs": [], + "source": [ + "np.random.seed(42)\n", + "tf.random.set_seed(42)\n", + "\n", + "model = keras.models.Sequential([\n", + " keras.layers.SimpleRNN(1, input_shape=[None, 1])\n", + "])\n", + "\n", + "optimizer = keras.optimizers.Adam(learning_rate=0.005)\n", + "model.compile(loss=\"mse\", optimizer=optimizer)" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": { + "editable": true, + "execution": { + "iopub.execute_input": "2025-03-07T05:32:36.497032Z", + "iopub.status.busy": "2025-03-07T05:32:36.496845Z", + "iopub.status.idle": "2025-03-07T05:32:42.071070Z", + "shell.execute_reply": "2025-03-07T05:32:42.070494Z" + }, + "slideshow": { + "slide_type": "subslide" + }, + "tags": [ + "hide-output" + ] + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Epoch 1/5\n" + ] + }, + { + "name": "stdout", + 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"stdout", + "output_type": "stream", + "text": [ + "\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\r", + "\u001b[1m63/63\u001b[0m \u001b[32m━━━━━━━━━━━━━━━━━━━━\u001b[0m\u001b[37m\u001b[0m \u001b[1m0s\u001b[0m 2ms/step - loss: 0.0112\n" + ] + }, + { + "data": { + "text/plain": [ + "0.01110600121319294" + ] + }, + "execution_count": 16, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "model.evaluate(X_valid, y_valid)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "" + }, + "tags": [] + }, + "source": [ + "The RNN is not very good, with an MSE of 0.011 (better than naive forecasting but not as good as linear model).\n", + "\n", + "This is to be expected, since the simple RNN has very few parameters.\n", + "\n", + "- Linear model: one parameter per input and per time step, plus bias $\\Rightarrow$ 51 parameters.\n", + "- Simple RNN: one parameter per input and per hidden state dimension, plus bias $\\Rightarrow$ 3 parameters." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "skip" + }, + "tags": [] + }, + "source": [ + "Again, could plot learning curves." + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": { + "editable": true, + "execution": { + "iopub.execute_input": "2025-03-07T05:32:42.235566Z", + "iopub.status.busy": "2025-03-07T05:32:42.235193Z", + "iopub.status.idle": "2025-03-07T05:32:42.350242Z", + "shell.execute_reply": "2025-03-07T05:32:42.349589Z" + }, + "slideshow": { + "slide_type": "skip" + }, + "tags": [] + }, + "outputs": [ + { + "data": { + "image/png": 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", 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "y_pred = model.predict(X_valid)\n", + "plot_series(X_valid[0, :, 0], y_valid[0, 0], y_pred[0, 0])\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "slide" + }, + "tags": [] + }, + "source": [ + "## Deep RNNs" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "subslide" + }, + "tags": [] + }, + "source": [ + "Can also have multiple cells per time step, defining a deep RNNs.\n", + "\n", + "\"Drawing\"\n", + "\n", + "[Source: Geron]\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "subslide" + }, + "tags": [] + }, + "source": [ + "### Back to the time-series forecasting example" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": { + "editable": true, + "execution": { + "iopub.execute_input": "2025-03-07T05:32:42.748140Z", + "iopub.status.busy": "2025-03-07T05:32:42.747950Z", + "iopub.status.idle": "2025-03-07T05:32:42.799237Z", + "shell.execute_reply": "2025-03-07T05:32:42.798647Z" + }, + "slideshow": { + "slide_type": "" + }, + "tags": [] + }, + "outputs": [], + "source": [ + "np.random.seed(42)\n", + "tf.random.set_seed(42)\n", + "\n", + "model = keras.models.Sequential([\n", + " keras.layers.SimpleRNN(20, return_sequences=True, input_shape=[None, 1]),\n", + " keras.layers.SimpleRNN(20, return_sequences=True),\n", + " keras.layers.SimpleRNN(1)\n", + "])\n", + "\n", + "optimizer = keras.optimizers.Adam(learning_rate=0.005)\n", + "model.compile(loss=\"mse\", optimizer=optimizer)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "" + }, + "tags": [] + }, + "source": [ + "Set `return_sequences = True` to ensure it outputs all intermediate steps, not just the final." + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": { + "editable": true, + "execution": { + "iopub.execute_input": "2025-03-07T05:32:42.801568Z", + "iopub.status.busy": "2025-03-07T05:32:42.801393Z", + "iopub.status.idle": "2025-03-07T05:33:01.256448Z", + "shell.execute_reply": "2025-03-07T05:33:01.255815Z" + }, + "slideshow": { + "slide_type": "subslide" + }, + "tags": [ + "hide-output" + ] + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Epoch 1/5\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\r", + "\u001b[1m 1/219\u001b[0m \u001b[37m━━━━━━━━━━━━━━━━━━━━\u001b[0m \u001b[1m6:51\u001b[0m 2s/step - loss: 0.8050" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\r", + "\u001b[1m 5/219\u001b[0m \u001b[37m━━━━━━━━━━━━━━━━━━━━\u001b[0m \u001b[1m2s\u001b[0m 14ms/step - loss: 0.8073" + ] + }, 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+ "Epoch 4/5\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\r", + "\u001b[1m 1/219\u001b[0m \u001b[37m━━━━━━━━━━━━━━━━━━━━\u001b[0m \u001b[1m5s\u001b[0m 26ms/step - loss: 0.0035" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\r", + "\u001b[1m 5/219\u001b[0m \u001b[37m━━━━━━━━━━━━━━━━━━━━\u001b[0m \u001b[1m2s\u001b[0m 13ms/step - loss: 0.0039" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\r", + "\u001b[1m 9/219\u001b[0m \u001b[37m━━━━━━━━━━━━━━━━━━━━\u001b[0m \u001b[1m2s\u001b[0m 14ms/step - loss: 0.0038" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + 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"\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\r", + "\u001b[1m219/219\u001b[0m \u001b[32m━━━━━━━━━━━━━━━━━━━━\u001b[0m\u001b[37m\u001b[0m \u001b[1m3s\u001b[0m 15ms/step - loss: 0.0037 - val_loss: 0.0039\n" + ] + } + ], + "source": [ + "history = model.fit(X_train, y_train, epochs=5,\n", + " validation_data=(X_valid, y_valid))" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": { + "editable": true, + "execution": { + "iopub.execute_input": "2025-03-07T05:33:01.258484Z", + "iopub.status.busy": "2025-03-07T05:33:01.258291Z", + "iopub.status.idle": "2025-03-07T05:33:01.602694Z", + "shell.execute_reply": "2025-03-07T05:33:01.602093Z" + }, + "slideshow": { + "slide_type": "" + }, + "tags": [ + "hide-output" + ] + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\r", + "\u001b[1m 1/63\u001b[0m \u001b[37m━━━━━━━━━━━━━━━━━━━━\u001b[0m \u001b[1m0s\u001b[0m 15ms/step - loss: 0.0031" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\r", + "\u001b[1m14/63\u001b[0m \u001b[32m━━━━\u001b[0m\u001b[37m━━━━━━━━━━━━━━━━\u001b[0m \u001b[1m0s\u001b[0m 4ms/step - loss: 0.0035 " + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\r", + "\u001b[1m27/63\u001b[0m \u001b[32m━━━━━━━━\u001b[0m\u001b[37m━━━━━━━━━━━━\u001b[0m \u001b[1m0s\u001b[0m 4ms/step - loss: 0.0036" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\r", + "\u001b[1m40/63\u001b[0m \u001b[32m━━━━━━━━━━━━\u001b[0m\u001b[37m━━━━━━━━\u001b[0m \u001b[1m0s\u001b[0m 4ms/step - loss: 0.0037" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\r", + "\u001b[1m53/63\u001b[0m \u001b[32m━━━━━━━━━━━━━━━━\u001b[0m\u001b[37m━━━━\u001b[0m \u001b[1m0s\u001b[0m 4ms/step - loss: 0.0037" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\r", + "\u001b[1m63/63\u001b[0m \u001b[32m━━━━━━━━━━━━━━━━━━━━\u001b[0m\u001b[37m\u001b[0m \u001b[1m0s\u001b[0m 4ms/step - loss: 0.0037\n" + ] + }, + { + "data": { + "text/plain": [ + "0.0038687658961862326" + ] + }, + "execution_count": 21, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "model.evaluate(X_valid, y_valid)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "" + }, + "tags": [] + }, + "source": [ + "Now achieve best MSE of 0.003." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "skip" + }, + "tags": [] + }, + "source": [ + "Again, can plot learning curves." + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": { + "editable": true, + "execution": { + "iopub.execute_input": "2025-03-07T05:33:01.604714Z", + "iopub.status.busy": "2025-03-07T05:33:01.604546Z", + "iopub.status.idle": "2025-03-07T05:33:01.696226Z", + "shell.execute_reply": "2025-03-07T05:33:01.695621Z" + }, + "slideshow": { + "slide_type": "skip" + }, + "tags": [] + }, + "outputs": [ + { + "data": { + "image/png": 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", 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" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "y_pred = model.predict(X_valid)\n", + "plot_series(X_valid[0, :, 0], y_valid[0, 0], y_pred[0, 0])" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "slide" + }, + "tags": [] + }, + "source": [ + "## Forecasting several steps ahead" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "" + }, + "tags": [] + }, + "source": [ + "So far, we just predicted the next time series sample.\n", + "\n", + "What if we want to predict the next, say, 10 samples?" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "subslide" + }, + "tags": [] + }, + "source": [ + "### Predict one step, multiple times\n", + "\n", + "Simplest approach is to predict next value, then add that to inputes (as if this value had actually occurred), then run model again to predict a next value, and so on." + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "metadata": { + "editable": true, + "execution": { + "iopub.execute_input": "2025-03-07T05:33:02.513270Z", + "iopub.status.busy": "2025-03-07T05:33:02.513092Z", + "iopub.status.idle": "2025-03-07T05:33:03.215733Z", + "shell.execute_reply": "2025-03-07T05:33:03.215127Z" + }, + "slideshow": { + "slide_type": "" + }, + "tags": [ + "hide-output" + ] + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\r", + "\u001b[1m1/1\u001b[0m \u001b[32m━━━━━━━━━━━━━━━━━━━━\u001b[0m\u001b[37m\u001b[0m \u001b[1m0s\u001b[0m 14ms/step" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\r", + "\u001b[1m1/1\u001b[0m \u001b[32m━━━━━━━━━━━━━━━━━━━━\u001b[0m\u001b[37m\u001b[0m \u001b[1m0s\u001b[0m 24ms/step\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + 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"\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\r", + "\u001b[1m1/1\u001b[0m \u001b[32m━━━━━━━━━━━━━━━━━━━━\u001b[0m\u001b[37m\u001b[0m \u001b[1m0s\u001b[0m 24ms/step\n" + ] + } + ], + "source": [ + "np.random.seed(43) # not 42, as it would give the first series in the train set\n", + "\n", + "series = generate_time_series(1, n_steps + 10)\n", + "X_new, Y_new = series[:, :n_steps], series[:, n_steps:]\n", + "X = X_new\n", + "for step_ahead in range(10):\n", + " y_pred_one = model.predict(X[:, step_ahead:])[:, np.newaxis, :]\n", + " X = np.concatenate([X, y_pred_one], axis=1)\n", + "\n", + "Y_pred = X[:, n_steps:]" + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "metadata": { + "editable": true, + "execution": { + "iopub.execute_input": "2025-03-07T05:33:03.217670Z", + "iopub.status.busy": "2025-03-07T05:33:03.217497Z", + "iopub.status.idle": "2025-03-07T05:33:03.221433Z", + "shell.execute_reply": "2025-03-07T05:33:03.220835Z" + }, + 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "def plot_multiple_forecasts(X, Y, Y_pred):\n", + " n_steps = X.shape[1]\n", + " ahead = Y.shape[1]\n", + " plot_series(X[0, :, 0])\n", + " plt.plot(np.arange(n_steps, n_steps + ahead), Y[0, :, 0], \"ro-\", label=\"Actual\")\n", + " plt.plot(np.arange(n_steps, n_steps + ahead), Y_pred[0, :, 0], \"bx-\", label=\"Forecast\", markersize=10)\n", + " plt.axis([0, n_steps + ahead, -1, 1])\n", + " plt.legend(fontsize=14)\n", + "\n", + "plot_multiple_forecasts(X_new, Y_new, Y_pred)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "subslide" + }, + "tags": [] + }, + "source": [ + "Now let's use this model to predict the next 10 values. We first need to regenerate the sequences with 9 more time steps." + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "metadata": { + "editable": true, + "execution": { + "iopub.execute_input": "2025-03-07T05:33:03.357176Z", + "iopub.status.busy": "2025-03-07T05:33:03.356999Z", + "iopub.status.idle": "2025-03-07T05:33:03.386811Z", + "shell.execute_reply": "2025-03-07T05:33:03.386192Z" + }, + "slideshow": { + "slide_type": "" + }, + "tags": [] + }, + "outputs": [], + "source": [ + "np.random.seed(42)\n", + "\n", + "n_steps = 50\n", + "series = generate_time_series(10000, n_steps + 10)\n", + "X_train, Y_train = series[:7000, :n_steps], series[:7000, -10:, 0]\n", + "X_valid, Y_valid = series[7000:9000, :n_steps], series[7000:9000, -10:, 0]\n", + "X_test, Y_test = series[9000:, :n_steps], series[9000:, -10:, 0]" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "subslide" + }, + "tags": [] + }, + "source": [ + "Now let's predict the next 10 values one by one." + ] + }, + { + "cell_type": "code", + "execution_count": 28, + "metadata": { + "editable": true, + "execution": { + "iopub.execute_input": "2025-03-07T05:33:03.389023Z", + "iopub.status.busy": "2025-03-07T05:33:03.388711Z", + "iopub.status.idle": "2025-03-07T05:33:07.019797Z", + "shell.execute_reply": "2025-03-07T05:33:07.019209Z" + }, + "slideshow": { + "slide_type": "" + }, + "tags": [ + "hide-output" + ] + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\r", + "\u001b[1m 1/63\u001b[0m \u001b[37m━━━━━━━━━━━━━━━━━━━━\u001b[0m \u001b[1m0s\u001b[0m 16ms/step" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\r", + "\u001b[1m15/63\u001b[0m \u001b[32m━━━━\u001b[0m\u001b[37m━━━━━━━━━━━━━━━━\u001b[0m \u001b[1m0s\u001b[0m 4ms/step " + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + 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+ }, + "execution_count": 29, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "Y_pred.shape" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "" + }, + "tags": [] + }, + "source": [ + "Compute MSE." + ] + }, + { + "cell_type": "code", + "execution_count": 30, + "metadata": { + "editable": true, + "execution": { + "iopub.execute_input": "2025-03-07T05:33:07.026898Z", + "iopub.status.busy": "2025-03-07T05:33:07.026738Z", + "iopub.status.idle": "2025-03-07T05:33:07.030864Z", + "shell.execute_reply": "2025-03-07T05:33:07.030494Z" + }, + "slideshow": { + "slide_type": "" + }, + "tags": [] + }, + "outputs": [ + { + "data": { + "text/plain": [ + "np.float32(0.04106598)" + ] + }, + "execution_count": 30, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "np.mean((Y_valid - Y_pred)**2)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "subslide" + }, + "tags": [] + }, + "source": [ + "Let's compare this performance with some baselines." + ] + }, + { + "cell_type": "code", + "execution_count": 31, + "metadata": { + "editable": true, + "execution": { + "iopub.execute_input": "2025-03-07T05:33:07.032565Z", + "iopub.status.busy": "2025-03-07T05:33:07.032378Z", + "iopub.status.idle": "2025-03-07T05:33:07.036316Z", + "shell.execute_reply": "2025-03-07T05:33:07.035940Z" + }, + "slideshow": { + "slide_type": "" + }, + "tags": [] + }, + "outputs": [ + { + "data": { + "text/plain": [ + "np.float32(0.22278848)" + ] + }, + "execution_count": 31, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "Y_naive_pred = Y_valid[:, -1:]\n", + "np.mean((Y_valid - Y_naive_pred)**2)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "subslide" + }, + "tags": [] + }, + "source": [ + "### Predicting all next values at end" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "" + }, + "tags": [] + }, + "source": [ + "Consider a linear model that predicts next 10 time steps all at once.\n", + "\n", + "Simply need to set output layer to have 10 units." + ] + }, + { + "cell_type": "code", + "execution_count": 32, + "metadata": { + "editable": true, + "execution": { + "iopub.execute_input": "2025-03-07T05:33:07.038128Z", + "iopub.status.busy": "2025-03-07T05:33:07.037966Z", + "iopub.status.idle": "2025-03-07T05:33:07.072769Z", + "shell.execute_reply": "2025-03-07T05:33:07.072139Z" + }, + "slideshow": { + "slide_type": "subslide" + }, + "tags": [] + }, + "outputs": [], + "source": [ + "np.random.seed(42)\n", + "tf.random.set_seed(42)\n", + "\n", + "model = keras.models.Sequential([\n", + " keras.layers.Flatten(input_shape=[50, 1]),\n", + " keras.layers.Dense(10) # 10 output predictions\n", + "])\n", + "\n", + "optimizer = keras.optimizers.Adam(learning_rate=0.001)\n", + "model.compile(loss=\"mse\", optimizer=optimizer)" + ] + }, + { + "cell_type": "code", + "execution_count": 33, + "metadata": { + "editable": true, + "execution": { + "iopub.execute_input": "2025-03-07T05:33:07.074764Z", + "iopub.status.busy": "2025-03-07T05:33:07.074592Z", + "iopub.status.idle": "2025-03-07T05:33:08.906347Z", + "shell.execute_reply": "2025-03-07T05:33:08.905796Z" + }, + "slideshow": { + "slide_type": "" + }, + "tags": [ + "hide-output" + ] + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Epoch 1/5\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\r", + "\u001b[1m 1/219\u001b[0m \u001b[37m━━━━━━━━━━━━━━━━━━━━\u001b[0m \u001b[1m1:07\u001b[0m 312ms/step - loss: 0.4363" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\r", + "\u001b[1m 58/219\u001b[0m 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{ + "slide_type": "" + }, + "tags": [] + }, + "source": [ + "Validation loss is 0.02." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "subslide" + }, + "tags": [] + }, + "source": [ + "Now let's create an RNN that predicts next 10 time steps all at once.\n", + "\n", + "Again, just need to set output layer to have 10 units." + ] + }, + { + "cell_type": "code", + "execution_count": 34, + "metadata": { + "editable": true, + "execution": { + "iopub.execute_input": "2025-03-07T05:33:08.908463Z", + "iopub.status.busy": "2025-03-07T05:33:08.908272Z", + "iopub.status.idle": "2025-03-07T05:33:08.952364Z", + "shell.execute_reply": "2025-03-07T05:33:08.951794Z" + }, + "slideshow": { + "slide_type": "" + }, + "tags": [] + }, + "outputs": [], + "source": [ + "np.random.seed(42)\n", + "tf.random.set_seed(42)\n", + "\n", + "model = keras.models.Sequential([\n", + " keras.layers.SimpleRNN(20, return_sequences=True, input_shape=[None, 1]),\n", + " keras.layers.SimpleRNN(20),\n", + " keras.layers.Dense(10) # 10 output predictions\n", + "])\n", + "\n", + "optimizer = keras.optimizers.Adam(learning_rate=0.001)\n", + "model.compile(loss=\"mse\", optimizer=optimizer)" + ] + }, + { + "cell_type": "code", + "execution_count": 35, + "metadata": { + "editable": true, + "execution": { + "iopub.execute_input": "2025-03-07T05:33:08.954170Z", + "iopub.status.busy": "2025-03-07T05:33:08.954001Z", + "iopub.status.idle": "2025-03-07T05:33:22.643619Z", + "shell.execute_reply": "2025-03-07T05:33:22.643023Z" + }, + "slideshow": { + "slide_type": "subslide" + }, + "tags": [ + "hide-output" + ] + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Epoch 1/5\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\r", + "\u001b[1m 1/219\u001b[0m \u001b[37m━━━━━━━━━━━━━━━━━━━━\u001b[0m \u001b[1m5:13\u001b[0m 1s/step - loss: 0.3857" + ] + }, + { + "name": "stdout", + "output_type": 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"\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\r", + "\u001b[1m213/219\u001b[0m \u001b[32m━━━━━━━━━━━━━━━━━━━\u001b[0m\u001b[37m━\u001b[0m \u001b[1m0s\u001b[0m 9ms/step - loss: 0.0134" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\r", + "\u001b[1m219/219\u001b[0m \u001b[32m━━━━━━━━━━━━━━━━━━━━\u001b[0m\u001b[37m\u001b[0m \u001b[1m0s\u001b[0m 9ms/step - loss: 0.0134" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\r", + "\u001b[1m219/219\u001b[0m \u001b[32m━━━━━━━━━━━━━━━━━━━━\u001b[0m\u001b[37m\u001b[0m \u001b[1m3s\u001b[0m 10ms/step - loss: 0.0134 - val_loss: 0.0123\n" + ] + } + ], + "source": [ + "history = model.fit(X_train, Y_train, epochs=5,\n", + " validation_data=(X_valid, Y_valid))" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "" + }, + "tags": [] + }, + "source": [ + "Validation loss is 0.01." + ] + }, + { + "cell_type": "code", + "execution_count": 36, + "metadata": { + "editable": true, + "execution": { + "iopub.execute_input": "2025-03-07T05:33:22.645606Z", + "iopub.status.busy": "2025-03-07T05:33:22.645431Z", + "iopub.status.idle": "2025-03-07T05:33:22.833117Z", + "shell.execute_reply": "2025-03-07T05:33:22.832554Z" + }, + "slideshow": { + "slide_type": "subslide" + }, + "tags": [ + "hide-output" + ] + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\r", + "\u001b[1m1/1\u001b[0m \u001b[32m━━━━━━━━━━━━━━━━━━━━\u001b[0m\u001b[37m\u001b[0m \u001b[1m0s\u001b[0m 146ms/step" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\r", + "\u001b[1m1/1\u001b[0m \u001b[32m━━━━━━━━━━━━━━━━━━━━\u001b[0m\u001b[37m\u001b[0m \u001b[1m0s\u001b[0m 158ms/step\n" + ] + } + ], + "source": [ + "np.random.seed(43)\n", + "\n", + "series = generate_time_series(1, 50 + 10)\n", + "X_new, Y_new = series[:, :50, :], series[:, -10:, :]\n", + "Y_pred = model.predict(X_new)[..., np.newaxis]" + ] + }, + { + "cell_type": "code", + "execution_count": 37, + "metadata": { + "editable": true, + "execution": { + "iopub.execute_input": "2025-03-07T05:33:22.835108Z", + "iopub.status.busy": "2025-03-07T05:33:22.834813Z", + "iopub.status.idle": "2025-03-07T05:33:22.964881Z", + "shell.execute_reply": "2025-03-07T05:33:22.964221Z" + }, + "slideshow": { + "slide_type": "" + }, + "tags": [] + }, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plot_multiple_forecasts(X_new, Y_new, Y_pred)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "subslide" + }, + "tags": [] + }, + "source": [ + "### Predict all next values at each time step" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "" + }, + "tags": [] + }, + "source": [ + "Now let's create an RNN that predicts the next 10 steps at each time step. \n", + "\n", + "To do this, we will replace the sequence-to-vector RNN with a sequence-to-sequence RNN.\n", + "\n", + "That is, instead of just forecasting time steps 50 to 59 based on time steps 0 to 49, it will forecast time steps 1 to 10 at time step 0, then time steps 2 to 11 at time step 1, and so on, and finally it will forecast time steps 50 to 59 at the last time step. \n", + "\n", + "Notice that the model is causal: when it makes predictions at any time step, it can only see past time steps." + ] + }, + { + "cell_type": "code", + "execution_count": 38, + "metadata": { + "editable": true, + "execution": { + "iopub.execute_input": "2025-03-07T05:33:22.966834Z", + "iopub.status.busy": "2025-03-07T05:33:22.966660Z", + "iopub.status.idle": "2025-03-07T05:33:23.011776Z", + "shell.execute_reply": "2025-03-07T05:33:23.011105Z" + }, + "slideshow": { + "slide_type": "subslide" + }, + "tags": [] + }, + "outputs": [], + "source": [ + "np.random.seed(42)\n", + "\n", + "n_steps = 50\n", + "series = generate_time_series(10000, n_steps + 10)\n", + "X_train = series[:7000, :n_steps]\n", + "X_valid = series[7000:9000, :n_steps]\n", + "X_test = series[9000:, :n_steps]\n", + "Y = np.empty((10000, n_steps, 10))\n", + "for step_ahead in range(1, 10 + 1):\n", + " Y[..., step_ahead - 1] = series[..., step_ahead:step_ahead + n_steps, 0]\n", + "Y_train = Y[:7000]\n", + "Y_valid = Y[7000:9000]\n", + "Y_test = Y[9000:]" + ] + }, + { + "cell_type": "code", + "execution_count": 39, + "metadata": { + "execution": { + "iopub.execute_input": "2025-03-07T05:33:23.013922Z", + "iopub.status.busy": "2025-03-07T05:33:23.013727Z", + "iopub.status.idle": "2025-03-07T05:33:23.017912Z", + "shell.execute_reply": "2025-03-07T05:33:23.017310Z" + } + }, + "outputs": [ + { + "data": { + "text/plain": [ + "((7000, 50, 1), (7000, 50, 10))" + ] + }, + "execution_count": 39, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "X_train.shape, Y_train.shape" + ] + }, + { + "cell_type": "code", + "execution_count": 40, + "metadata": { + "editable": true, + "execution": { + "iopub.execute_input": "2025-03-07T05:33:23.019863Z", + "iopub.status.busy": "2025-03-07T05:33:23.019697Z", + "iopub.status.idle": "2025-03-07T05:33:23.074046Z", + "shell.execute_reply": "2025-03-07T05:33:23.073404Z" + }, + "slideshow": { + "slide_type": "subslide" + }, + "tags": [] + }, + "outputs": [], + "source": [ + "np.random.seed(42)\n", + "tf.random.set_seed(42)\n", + "\n", + "model = keras.models.Sequential([\n", + " keras.layers.SimpleRNN(20, return_sequences=True, input_shape=[None, 1]),\n", + " keras.layers.SimpleRNN(20, return_sequences=True),\n", + " keras.layers.TimeDistributed(keras.layers.Dense(10)) # Wrap dense layer to apply at every time step\n", + "])\n", + "\n", + "def last_time_step_mse(Y_true, Y_pred):\n", + " return tf.reduce_mean(tf.square(Y_true[:, -1] - Y_pred[:, -1])) \n", + "\n", + "model.compile(loss=\"mse\", optimizer=keras.optimizers.Adam(learning_rate=0.01), metrics=[last_time_step_mse])" + ] + }, + { + "cell_type": "code", + "execution_count": 41, + "metadata": { + "editable": true, + "execution": { + "iopub.execute_input": "2025-03-07T05:33:23.076374Z", + "iopub.status.busy": "2025-03-07T05:33:23.075893Z", + "iopub.status.idle": "2025-03-07T05:33:39.248052Z", + "shell.execute_reply": "2025-03-07T05:33:39.247479Z" + }, + "slideshow": { + "slide_type": "subslide" + }, + "tags": [ + "hide-output" + ] + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Epoch 1/5\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\r", + "\u001b[1m 1/219\u001b[0m \u001b[37m━━━━━━━━━━━━━━━━━━━━\u001b[0m \u001b[1m8:50\u001b[0m 2s/step - last_time_step_mse: 0.2317 - loss: 0.2123" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\r", + "\u001b[1m 6/219\u001b[0m \u001b[37m━━━━━━━━━━━━━━━━━━━━\u001b[0m \u001b[1m2s\u001b[0m 11ms/step - last_time_step_mse: 0.1838 - loss: 0.1762" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\r", + 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"\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\r", + "\u001b[1m219/219\u001b[0m \u001b[32m━━━━━━━━━━━━━━━━━━━━\u001b[0m\u001b[37m\u001b[0m \u001b[1m3s\u001b[0m 12ms/step - last_time_step_mse: 0.0120 - loss: 0.0246 - val_last_time_step_mse: 0.0103 - val_loss: 0.0222\n" + ] + } + ], + "source": [ + "history = model.fit(X_train, Y_train, epochs=5,\n", + " validation_data=(X_valid, Y_valid))" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "" + }, + "tags": [] + }, + "source": [ + "Last time step validation MSE is 0.007." + ] + }, + { + "cell_type": "code", + "execution_count": 42, + "metadata": { + "editable": true, + "execution": { + "iopub.execute_input": "2025-03-07T05:33:39.250540Z", + "iopub.status.busy": "2025-03-07T05:33:39.249971Z", + "iopub.status.idle": "2025-03-07T05:33:39.649450Z", + "shell.execute_reply": "2025-03-07T05:33:39.648857Z" + }, + "slideshow": { + "slide_type": "subslide" + }, + "tags": [ + "hide-output" + ] + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\r", + "\u001b[1m1/1\u001b[0m \u001b[32m━━━━━━━━━━━━━━━━━━━━\u001b[0m\u001b[37m\u001b[0m \u001b[1m0s\u001b[0m 359ms/step" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\r", + "\u001b[1m1/1\u001b[0m \u001b[32m━━━━━━━━━━━━━━━━━━━━\u001b[0m\u001b[37m\u001b[0m \u001b[1m0s\u001b[0m 369ms/step\n" + ] + } + ], + "source": [ + "np.random.seed(43)\n", + "\n", + "series = generate_time_series(1, 50 + 10)\n", + "X_new, Y_new = series[:, :50, :], series[:, 50:, :]\n", + "Y_pred = model.predict(X_new)[:, -1][..., np.newaxis]" + ] + }, + { + "cell_type": "code", + "execution_count": 43, + "metadata": { + "editable": true, + "execution": { + "iopub.execute_input": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plot_multiple_forecasts(X_new, Y_new, Y_pred)" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "slide" + }, + "tags": [] + }, + "source": [ + "## Handling long sequences" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "subslide" + }, + "tags": [] + }, + "source": [ + "To train RNNs on long sequences, must run over many tmie steps, resulting in a very deep unrolled RNN.\n", + "\n", + "While the techniques discussed previously to train deep networks can often be considered for RNNs, there are some differences to feed-forward networks." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "subslide" + }, + "tags": [] + }, + "source": [ + "### Unstable gradients\n", + "\n", + "Say weights result in outputs that are slightly larger than input at the first time step. Then will be slightly larger again at next time step, since the same weights are used at every time step. Feedback can lead to exploding output.\n", + "\n", + "Non-saturating activations are not always effective for RNNs since they do not avoid this and may cause to the RNN to be unstable during training.\n", + "\n", + "Thus, saturating activation functions, e.g. hyperbolic tangent, are often used (hence default)." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "subslide" + }, + "tags": [] + }, + "source": [ + "Also, batch normalisation cannot be used as effectively with RNNs as with deep feed-forward neural networks. \n", + "\n", + "Cannot use it between time steps (would effectively be the same batch normalisation layer at each time step).\n", + "\n", + "Alternatively, *layer normalisation* is often used, where instead of normalising across batch, normalise across feature dimensions." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "subslide" + }, + "tags": [] + }, + "source": [ + "### Short-term memory\n", + "\n", + "Deep RNNs may forget earlier inputs in the sequence, resulting in only short-term memory." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "subslide" + }, + "tags": [] + }, + "source": [ + "#### Long-short-term-memory (LSTM) cell\n", + "\n", + "Alternative type of cell that learsn what to store in long-term state, what to throw away, and what to read from.\n", + "\n", + "Has not only a hidden state $\\mathbf{h}_{(t)}$ but also a long term context $\\mathbf{c}_{(t)}$, in addition to inputs and outputs." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "" + }, + "tags": [] + }, + "source": [ + "\n", + "\n", + "\"Drawing\"\n", + "\n", + "[Source: Geron]\n" + ] + }, + { + "cell_type": "markdown", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "" + }, + "tags": [] + }, + "source": [ + "- Main layer outputs $\\mathbf{g}_{(t)}$, which has usual role of analysing current inputs and previous hidden state.\n", + "- Three gate controllers:\n", + " - Forget gate controls what part of long-term state should be erased.\n", + " - Input gate controls what part of $\\mathbf{g}_{(t)}$ should be added to the long-term state.\n", + " - Ouput gate controls what part of internal state should be read to hidden state and outputs." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "subslide" + }, + "tags": [] + }, + "source": [ + "Can simply replace `SimpleRNN` layers with `LSTM` layers in architecture." + ] + }, + { + "cell_type": "markdown", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "" + }, + "tags": [] + }, + "source": [ + "LSTM cell can learn to recognise important input, store it in long-term state and preserve it for as long as needed (before learned to forget via forget gate)." + ] + } + ], + "metadata": { + "celltoolbar": "Slideshow", + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.11.11" + } + }, + "nbformat": 4, + "nbformat_minor": 4 +} diff --git a/week7/Lecture21_AutoEncoders.ipynb b/week7/Lecture21_AutoEncoders.ipynb new file mode 100644 index 0000000..8adc7d5 --- /dev/null +++ b/week7/Lecture21_AutoEncoders.ipynb @@ -0,0 +1,144086 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "id": "28e8aae2-7454-4c1e-ba3a-655ef34481c8", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "slide" + }, + "tags": [] + }, + "source": [ + "# Lecture 21: AutoEncoders" + ] + }, + { + "cell_type": "markdown", + "id": "6b1f9e39-3b99-41f0-bcfc-c0757a3b59fa", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "skip" + }, + "tags": [] + }, + "source": [ + "![](https://www.tensorflow.org/images/colab_logo_32px.png)\n", + "[Run in colab](https://colab.research.google.com/drive/1DnAtRC5udV52Kn5918nlvvLIjkzQKNPT)" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "id": "6b061343-5224-43fd-908d-a9f47cb2779f", + "metadata": { + "editable": true, + "execution": { + "iopub.execute_input": "2025-03-07T05:33:43.338548Z", + "iopub.status.busy": "2025-03-07T05:33:43.338298Z", + "iopub.status.idle": "2025-03-07T05:33:43.344669Z", + "shell.execute_reply": "2025-03-07T05:33:43.344085Z" + }, + "slideshow": { + "slide_type": "skip" + }, + "tags": [] + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Version: 2025-03-07 05:33:43\n" + ] + } + ], + "source": [ + "import datetime\n", + "now = datetime.datetime.now()\n", + "print(\"Version: \" + now.strftime(\"%Y-%m-%d %H:%M:%S\"))" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "id": "32c835e2-4226-49a3-a0a4-f77d48a23745", + "metadata": { + "editable": true, + "execution": { + "iopub.execute_input": "2025-03-07T05:33:43.346670Z", + "iopub.status.busy": "2025-03-07T05:33:43.346299Z", + "iopub.status.idle": "2025-03-07T05:33:43.702765Z", + "shell.execute_reply": "2025-03-07T05:33:43.702089Z" + }, + "id": "8d4TH3NbpKzx", + "slideshow": { + "slide_type": "skip" + }, + "tags": [] + }, + "outputs": [], + "source": [ + "import matplotlib.pyplot as plt\n", + "\n", + "plt.rc('font', size=14)\n", + "plt.rc('axes', labelsize=14, titlesize=14)\n", + "plt.rc('legend', fontsize=14)\n", + "plt.rc('xtick', labelsize=10)\n", + "plt.rc('ytick', labelsize=10)" + ] + }, + { + "cell_type": "markdown", + "id": "fb2ff3a6-a97d-4e73-a10d-155b35ea81f6", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "skip" + }, + "tags": [] + }, + "source": [ + "**Warning**: the latest TensorFlow versions are based on Keras 3. Custom losses (for VAE) using the functional API is not implemented yet. So reverted to Keras 2 for this lecture. To do that, set t`TF_USE_LEGACY_KERAS` environment variable to `\"1\"` and import the `tf_keras` package. This ensures that `tf.keras` points to `tf_keras`, which is Keras 2.*." + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "id": "7aa613ce-1a51-4be0-8f82-4273069c5016", + "metadata": { + "editable": true, + "execution": { + "iopub.execute_input": "2025-03-07T05:33:43.705191Z", + "iopub.status.busy": "2025-03-07T05:33:43.704900Z", + "iopub.status.idle": "2025-03-07T05:33:45.998743Z", + "shell.execute_reply": "2025-03-07T05:33:45.998060Z" + }, + "slideshow": { + "slide_type": "skip" + }, + "tags": [] + }, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "2025-03-07 05:33:44.129556: I external/local_xla/xla/tsl/cuda/cudart_stub.cc:32] Could not find cuda drivers on your machine, GPU will not be used.\n", + "2025-03-07 05:33:44.133306: I external/local_xla/xla/tsl/cuda/cudart_stub.cc:32] Could not find cuda drivers on your machine, GPU will not be used.\n", + "2025-03-07 05:33:44.142371: E external/local_xla/xla/stream_executor/cuda/cuda_fft.cc:477] Unable to register cuFFT factory: Attempting to register factory for plugin cuFFT when one has already been registered\n", + "WARNING: All log messages before absl::InitializeLog() is called are written to STDERR\n", + "E0000 00:00:1741325624.156846 8017 cuda_dnn.cc:8310] Unable to register cuDNN factory: Attempting to register factory for plugin cuDNN when one has already been registered\n", + "E0000 00:00:1741325624.161164 8017 cuda_blas.cc:1418] Unable to register cuBLAS factory: Attempting to register factory for plugin cuBLAS when one has already been registered\n", + "2025-03-07 05:33:44.177775: I tensorflow/core/platform/cpu_feature_guard.cc:210] This TensorFlow binary is optimized to use available CPU instructions in performance-critical operations.\n", + "To enable the following instructions: AVX2 FMA, in other operations, rebuild TensorFlow with the appropriate compiler flags.\n" + ] + } + ], + "source": [ + "import os\n", + "os.environ[\"TF_USE_LEGACY_KERAS\"] = \"1\" \n", + "\n", + "import tf_keras" + ] + }, + { + "cell_type": "markdown", + "id": "21a256a8-b0e3-44f3-977d-be21897e954d", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "slide" + }, + "tags": [] + }, + "source": [ + "## Learning latent representations" + ] + }, + { + "cell_type": "markdown", + "id": "2f7fe953-c079-45f8-8a69-ad365427e804", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "slide" + }, + "tags": [] + }, + "source": [ + "### Overview of AutoEncoders\n", + "\n", + "* Autoencoders are artificial neural networks capable of learning efficient representations of the input data, called codings, without any supervision (i.e., the training set is unlabeled).\n", + "* General class of network used to perform data compression, pattern recognition, extracting trends and relations from data.\n", + "* Essentially a normal feedforward network except that there are one or more hidden layers with $N_{\\rm neuron}" + ] + }, + { + "cell_type": "markdown", + "id": "27ba01f5-cf8a-47fe-83a8-50f1f433ebfb", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "subslide" + }, + "tags": [] + }, + "source": [ + "### Autoencoder analogy\n", + "\n", + "An autoencoder learns a compressed *latent* representation to capture patterns in data.\n", + "\n", + "Essentially a feed-forward neural network, with a bottleneck (compressed) latent representation, with lower dimensionality than the data.\n", + "\n", + "Consists of an *encoder* and *decoder*, training to recover original data.\n" + ] + }, + { + "cell_type": "markdown", + "id": "a0c45e72-0dc2-4e76-a6da-fbfac3055f33", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "" + }, + "tags": [] + }, + "source": [ + "\"Drawing\"\n", + "\n", + "[Source: Geron]" + ] + }, + { + "cell_type": "markdown", + "id": "13655821-14d9-48b2-bf4e-29cad9d59060", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "subslide" + }, + "tags": [] + }, + "source": [ + "### Deep autoencoders\n", + "\n", + "\"Drawing\"\n", + "\n", + "[Source: [AssemblyAI](https://assemblyai-new.webflow.io/blog/introduction-to-variational-autoencoders-using-keras#what-is-an-autoencoder)]" + ] + }, + { + "cell_type": "markdown", + "id": "9d26f58a-1a28-4fc4-8f02-ebea65a04227", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "subslide" + }, + "tags": [] + }, + "source": [ + "## \"PCA\" with an undercomplete linear autoencoder" + ] + }, + { + "cell_type": "markdown", + "id": "270eead5-9f2a-4b90-9a78-445beed96cfe", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "" + }, + "tags": [] + }, + "source": [ + "An autoencoder with linear activations and MSE cost function essentially performs PCA." + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "id": "88ff3828-52f5-4bc1-be1d-649aafb7252f", + "metadata": { + "editable": true, + "execution": { + "iopub.execute_input": "2025-03-07T05:33:46.001473Z", + "iopub.status.busy": "2025-03-07T05:33:46.001126Z", + "iopub.status.idle": "2025-03-07T05:33:46.004496Z", + "shell.execute_reply": "2025-03-07T05:33:46.003865Z" + }, + "slideshow": { + "slide_type": "skip" + }, + "tags": [] + }, + "outputs": [], + "source": [ + "import tensorflow as tf\n", + "tf.random.set_seed(42) " + ] + }, + { + "cell_type": "markdown", + "id": "cc7ab8ec-94d5-4294-9d7a-c3f241b85a8d", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "" + }, + "tags": [] + }, + "source": [ + "Construct simple autoencoder from 3D to 2D:" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "id": "70360658-013d-4e49-94e3-3f082600117e", + "metadata": { + "editable": true, + "execution": { + "iopub.execute_input": "2025-03-07T05:33:46.006376Z", + "iopub.status.busy": "2025-03-07T05:33:46.006201Z", + "iopub.status.idle": "2025-03-07T05:33:46.073716Z", + "shell.execute_reply": "2025-03-07T05:33:46.073011Z" + }, + "slideshow": { + "slide_type": "" + }, + "tags": [] + }, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "2025-03-07 05:33:46.038094: E external/local_xla/xla/stream_executor/cuda/cuda_driver.cc:152] failed call to cuInit: INTERNAL: CUDA error: Failed call to cuInit: UNKNOWN ERROR (303)\n" + ] + } + ], + "source": [ + "n_input = 3\n", + "n_output = 2\n", + "encoder = tf.keras.Sequential([tf.keras.Input([n_input]), tf.keras.layers.Dense(n_output)])\n", + "decoder = tf.keras.Sequential([tf.keras.layers.Dense(n_input)])\n", + "autoencoder = tf.keras.Sequential([encoder, decoder])" + ] + }, + { + "cell_type": "markdown", + "id": "636a7549-2a4a-4dde-97ee-2eda1fef04f0", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "subslide" + }, + "tags": [] + }, + "source": [ + "Compile model:" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "id": "0f4f08ac-87a0-41d3-8a60-582f3e923d79", + "metadata": { + "editable": true, + "execution": { + "iopub.execute_input": "2025-03-07T05:33:46.075760Z", + "iopub.status.busy": "2025-03-07T05:33:46.075569Z", + "iopub.status.idle": "2025-03-07T05:33:46.086930Z", + "shell.execute_reply": "2025-03-07T05:33:46.086330Z" + }, + "slideshow": { + "slide_type": "" + }, + "tags": [] + }, + "outputs": [], + "source": [ + "optimizer = tf.keras.optimizers.SGD(learning_rate=0.5)\n", + "autoencoder.compile(loss=\"mse\", optimizer=optimizer)" + ] + }, + { + "cell_type": "markdown", + "id": "67162ee9-c9f7-44fd-acc3-eb068f5fd644", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "subslide" + }, + "tags": [] + }, + "source": [ + "General mock 3D data:" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "id": "1b2bc658-0c5a-4702-b684-a67075af8c6a", + "metadata": { + "editable": true, + "execution": { + "iopub.execute_input": "2025-03-07T05:33:46.088730Z", + "iopub.status.busy": "2025-03-07T05:33:46.088557Z", + "iopub.status.idle": "2025-03-07T05:33:46.108805Z", + "shell.execute_reply": "2025-03-07T05:33:46.108236Z" + }, + "slideshow": { + "slide_type": "" + }, + "tags": [] + }, + "outputs": [], + "source": [ + "import numpy as np\n", + "from scipy.spatial.transform import Rotation\n", + "\n", + "m = 60\n", + "X = np.zeros((m, 3)) # initialize 3D dataset\n", + "np.random.seed(42)\n", + "angles = (np.random.rand(m) ** 3 + 0.5) * 2 * np.pi # uneven distribution\n", + "X[:, 0], X[:, 1] = np.cos(angles), np.sin(angles) * 0.5 # oval\n", + "X += 0.28 * np.random.randn(m, 3) # add more noise\n", + "X = Rotation.from_rotvec([np.pi / 29, -np.pi / 20, np.pi / 4]).apply(X)\n", + "X_train = X + [0.2, 0, 0.2] # shift a bit" + ] + }, + { + "cell_type": "markdown", + "id": "06494aa7-1cf2-4cde-ad5f-7cd8fdde3717", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "subslide" + }, + "tags": [] + }, + "source": [ + "Train and make predictions:" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "id": "0036206b-1054-43af-8571-d36f017910bb", + "metadata": { + "editable": true, + "execution": { + "iopub.execute_input": "2025-03-07T05:33:46.110800Z", + "iopub.status.busy": "2025-03-07T05:33:46.110441Z", + "iopub.status.idle": "2025-03-07T05:33:47.658201Z", + "shell.execute_reply": "2025-03-07T05:33:47.657612Z" + }, + "slideshow": { + "slide_type": "" + }, + "tags": [ + "hide-output" + ] + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\r", + "1/2 [==============>...............] - ETA: 0s" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\r", + "2/2 [==============================] - 0s 2ms/step\n" + ] + } + ], + "source": [ + "history = autoencoder.fit(X_train, X_train, epochs=500, verbose=False) # X_train as features and targets!\n", + "codings = encoder.predict(X_train) # Make predictions with the encoder." + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "id": "24e2fb85-6568-4e94-a192-b8cdbc8d6c75", + "metadata": { + "editable": true, + "execution": { + "iopub.execute_input": "2025-03-07T05:33:47.660435Z", + "iopub.status.busy": "2025-03-07T05:33:47.660038Z", + "iopub.status.idle": "2025-03-07T05:33:48.015542Z", + "shell.execute_reply": "2025-03-07T05:33:48.014862Z" + }, + "slideshow": { + "slide_type": "" + }, + "tags": [] + }, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig = plt.figure(figsize=(12,4))\n", + "ax = fig.add_subplot(121, projection=\"3d\")\n", + "plt.plot(X_train[:,0], X_train[:,1], X_train[:,2], \"ro\")\n", + "ax.set_xlabel(\"$x_1$\", labelpad=8, rotation=0)\n", + "ax.set_ylabel(\"$x_2$\", labelpad=8, rotation=0)\n", + "ax.set_zlabel(\"$x_3$\", labelpad=8, rotation=0)\n", + "\n", + "ax = fig.add_subplot(122)\n", + "plt.plot(codings[:,0], codings[:, 1], \"b.\")\n", + "plt.xlabel(\"$z_1$\")\n", + "plt.ylabel(\"$z_2$\", rotation=0)\n", + "plt.grid(True)\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "330cb5c9-79ea-406d-a9da-2f709665a7ca", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "slide" + }, + "tags": [] + }, + "source": [ + "## Deep autoencoders" + ] + }, + { + "cell_type": "markdown", + "id": "f8066a71-b7f9-43dd-9f0d-d6f2865e700a", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "slide" + }, + "tags": [] + }, + "source": [ + "Just like other neural networks we have discussed, autoencoders can have multiple hidden layers. \n", + "\n", + "In this case they are called deep (or stacked) autoencoders." + ] + }, + { + "cell_type": "markdown", + "id": "10ca83a1-b5bf-44ce-a345-0e3ebcf86592", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "subslide" + }, + "tags": [] + }, + "source": [ + "The architecture of a stacked autoencoder is typically symmetrical with regards to the central hidden layer (the coding layer). To put it simply, it looks like a sandwich.\n", + "\n", + "\"Drawing\"\n", + "\n", + "[Source: Geron]" + ] + }, + { + "cell_type": "markdown", + "id": "23d24bb9-9cfb-4b9b-a598-119f9ac1bbc7", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "subslide" + }, + "tags": [] + }, + "source": [ + "### Load example data\n", + "\n", + "Load fashion MNIST and separate into training and validation data-sets." + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "id": "7ffedbe2-4cc1-427c-94be-0421faa544b0", + "metadata": { + "editable": true, + "execution": { + "iopub.execute_input": "2025-03-07T05:33:48.017619Z", + "iopub.status.busy": "2025-03-07T05:33:48.017439Z", + "iopub.status.idle": "2025-03-07T05:33:48.330467Z", + "shell.execute_reply": "2025-03-07T05:33:48.329791Z" + }, + "slideshow": { + "slide_type": "" + }, + "tags": [] + }, + "outputs": [], + "source": [ + "fashion_mnist = tf.keras.datasets.fashion_mnist.load_data()\n", + "(X_train_full, y_train_full), (X_test, y_test) = fashion_mnist\n", + "X_train_full = X_train_full.astype(np.float32) / 255\n", + "X_test = X_test.astype(np.float32) / 255\n", + "X_train, X_valid = X_train_full[:-5000], X_train_full[-5000:]\n", + "y_train, y_valid = y_train_full[:-5000], y_train_full[-5000:]" + ] + }, + { + "cell_type": "markdown", + "id": "a929ea9c-5fd6-40b2-bc61-4c7dc4246159", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "subslide" + }, + "tags": [] + }, + "source": [ + "Visualise example images." + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "id": "271dd5b1-2ad2-4e27-97d3-b85e4819f38d", + "metadata": { + "editable": true, + "execution": { + "iopub.execute_input": "2025-03-07T05:33:48.332693Z", + "iopub.status.busy": "2025-03-07T05:33:48.332513Z", + "iopub.status.idle": "2025-03-07T05:33:49.103158Z", + "shell.execute_reply": "2025-03-07T05:33:49.102480Z" + }, + "slideshow": { + "slide_type": "" + }, + "tags": [] + }, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "n_rows = 4\n", + "n_cols = 10\n", + "class_names = [\"T-shirt/top\", \"Trouser\", \"Pullover\", \"Dress\", \"Coat\",\n", + " \"Sandal\", \"Shirt\", \"Sneaker\", \"Bag\", \"Ankle boot\"]\n", + "plt.figure(figsize=(n_cols * 1.2, n_rows * 1.2))\n", + "for row in range(n_rows):\n", + " for col in range(n_cols):\n", + " index = n_cols * row + col\n", + " plt.subplot(n_rows, n_cols, index + 1)\n", + " plt.imshow(X_train[index], cmap=\"binary\", interpolation=\"nearest\")\n", + " plt.axis('off')\n", + " plt.title(class_names[y_train[index]], fontsize=12)\n", + "plt.subplots_adjust(wspace=0.2, hspace=0.5)\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "fa82c38a-1be1-4f0d-9a52-407f2c192d97", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "subslide" + }, + "tags": [] + }, + "source": [ + "What is the data dimension?" + ] + }, + { + "cell_type": "markdown", + "id": "0efcb59d-b740-481d-8b9e-cb22e9f6d607", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "fragment" + }, + "tags": [] + }, + "source": [ + "28 $\\times$ 28 pixel images $\\Rightarrow$ 784 dimensional data space." + ] + }, + { + "cell_type": "markdown", + "id": "4eef1aad-cb19-4bfe-97d8-a0ed7987ad67", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "fragment" + }, + "tags": [] + }, + "source": [ + "Let's train an autoencoder to reduce to 30 dimensions ($\\sim$4% of original data size)." + ] + }, + { + "cell_type": "markdown", + "id": "24d721d7-e919-431f-a4c9-16624db37c87", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "subslide" + }, + "tags": [] + }, + "source": [ + "Configuration considered:\n", + "\n", + "\"Drawing\"\n", + "\n", + "[Source: [AssemblyAI](https://assemblyai-new.webflow.io/blog/introduction-to-variational-autoencoders-using-keras#what-is-an-autoencoder)]\n", + "\n", + "How many input features and output features do we have for this model?\n", + "\n", + "How many units to we have in the latent space representation?" + ] + }, + { + "cell_type": "markdown", + "id": "f4621134-0961-42b2-912c-194ba7602bd2", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "fragment" + }, + "tags": [] + }, + "source": [ + "- 784 input and output features (number of pixels).\n", + "- We decided to compression to a 30 dimensional latent space." + ] + }, + { + "cell_type": "markdown", + "id": "58101285-b082-4fdc-b17c-00b2aa9bb6f6", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "subslide" + }, + "tags": [] + }, + "source": [ + "### Build model" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "id": "8c13497c-808f-4b84-b68e-00ac85ea0c76", + "metadata": { + "editable": true, + "execution": { + "iopub.execute_input": "2025-03-07T05:33:49.105434Z", + "iopub.status.busy": "2025-03-07T05:33:49.105230Z", + "iopub.status.idle": "2025-03-07T05:33:49.109714Z", + "shell.execute_reply": "2025-03-07T05:33:49.109152Z" + }, + "scrolled": true, + "slideshow": { + "slide_type": "skip" + }, + "tags": [ + "hide-output" + ] + }, + "outputs": [], + "source": [ + "tf.random.set_seed(42) # extra code – ensures reproducibility on CPU" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "id": "5c4f539d-a075-473e-923d-f373d919f85d", + "metadata": { + "editable": true, + "execution": { + "iopub.execute_input": "2025-03-07T05:33:49.111764Z", + "iopub.status.busy": "2025-03-07T05:33:49.111593Z", + "iopub.status.idle": "2025-03-07T05:33:49.127450Z", + "shell.execute_reply": "2025-03-07T05:33:49.126847Z" + }, + "scrolled": true, + "slideshow": { + "slide_type": "" + }, + "tags": [] + }, + "outputs": [], + "source": [ + "stacked_encoder = tf.keras.Sequential([\n", + " tf.keras.layers.Flatten(),\n", + " tf.keras.layers.Dense(100, activation=\"relu\"),\n", + " tf.keras.layers.Dense(30, activation=\"relu\"),\n", + "])\n", + "stacked_decoder = tf.keras.Sequential([\n", + " tf.keras.layers.Dense(100, activation=\"relu\"),\n", + " tf.keras.layers.Dense(28 * 28),\n", + " tf.keras.layers.Reshape([28, 28])\n", + "])\n", + "stacked_ae = tf.keras.Sequential([stacked_encoder, stacked_decoder])" + ] + }, + { + "cell_type": "markdown", + "id": "fd0ec4dc-da35-4638-9711-381d1366694e", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "subslide" + }, + "tags": [] + }, + "source": [ + "### Compile and train model" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "id": "803298d3-9e27-438c-9656-a64355608952", + "metadata": { + "editable": true, + "execution": { + "iopub.execute_input": "2025-03-07T05:33:49.129240Z", + "iopub.status.busy": "2025-03-07T05:33:49.129073Z", + "iopub.status.idle": "2025-03-07T05:34:06.820984Z", + "shell.execute_reply": "2025-03-07T05:34:06.820313Z" + }, + "scrolled": true, + "slideshow": { + "slide_type": "" + }, + "tags": [ + "hide-output" + ] + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Epoch 1/5\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\r", + " 1/1719 [..............................] - ETA: 15:20 - loss: 0.2297" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\r", + " 28/1719 [..............................] - ETA: 3s - loss: 0.2000 " + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\r", + " 54/1719 [..............................] - ETA: 3s - loss: 0.1887" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + 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+ "\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\r", + "1719/1719 [==============================] - 3s 2ms/step - loss: 0.0241 - val_loss: 0.0227\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Epoch 3/5\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\r", + " 1/1719 [..............................] - ETA: 4s - loss: 0.0178" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\r", + " 28/1719 [..............................] - ETA: 3s - loss: 0.0226" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\r", + " 56/1719 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"9bb1e2bd-ff21-4259-bc79-88f8d6984d18", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "" + }, + "tags": [] + }, + "source": [ + "Note that we trained for only 5 epochs for computational convenience (could improve the model significantly)." + ] + }, + { + "cell_type": "markdown", + "id": "1f5d2599-a2b3-46ad-8214-0b35e2ad46eb", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "subslide" + }, + "tags": [] + }, + "source": [ + "### Inspect reconstructions\n", + "\n", + "Plot original image and reconstructed image." + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "id": "deca49c0-f103-431c-8c15-a39bb1b968fb", + "metadata": { + "editable": true, + "execution": { + "iopub.execute_input": "2025-03-07T05:34:06.823069Z", + "iopub.status.busy": "2025-03-07T05:34:06.822888Z", + "iopub.status.idle": "2025-03-07T05:34:06.825804Z", + "shell.execute_reply": "2025-03-07T05:34:06.825214Z" + }, + "slideshow": { + "slide_type": "skip" + }, + "tags": [ + "hide-output" + ] + }, + "outputs": [], + "source": [ + "import numpy as np" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "id": "0294828b-c769-440d-99ed-0c27c4f2bbcf", + "metadata": { + "editable": true, + "execution": { + "iopub.execute_input": "2025-03-07T05:34:06.827518Z", + "iopub.status.busy": "2025-03-07T05:34:06.827327Z", + "iopub.status.idle": "2025-03-07T05:34:07.194992Z", + "shell.execute_reply": "2025-03-07T05:34:07.194338Z" + }, + "slideshow": { + "slide_type": "" + }, + "tags": [ + "hide-output" + ] + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\r", + "1/1 [==============================] - ETA: 0s" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\r", + "1/1 [==============================] - 0s 44ms/step\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "def plot_reconstructions(model, images=X_valid, n_images=5):\n", + " reconstructions = np.clip(model.predict(images[:n_images]), 0, 1)\n", + " fig = plt.figure(figsize=(n_images * 1.5, 3))\n", + " for image_index in range(n_images):\n", + " plt.subplot(2, n_images, 1 + image_index)\n", + " plt.imshow(images[image_index], cmap=\"binary\")\n", + " plt.axis(\"off\")\n", + " plt.subplot(2, n_images, 1 + n_images + image_index)\n", + " plt.imshow(reconstructions[image_index], cmap=\"binary\")\n", + " plt.axis(\"off\")\n", + "\n", + "plot_reconstructions(stacked_ae)" + ] + }, + { + "cell_type": "markdown", + "id": "ab174ab6-2e53-408e-91e0-437a6dcc11f6", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "" + }, + "tags": [] + }, + "source": [ + "Can see that we are starting to reconstruct original images. \n", + "\n", + "Performance could be improved significantly by training for longer, with more appropriate model, as we will see... " + ] + }, + { + "cell_type": "markdown", + "id": "e2843536-b2e7-4441-baa7-65f6998567da", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "slide" + }, + "tags": [] + }, + "source": [ + "## Unsupervised pretraining with autoencoders" + ] + }, + { + "cell_type": "markdown", + "id": "364e45b0-50b2-43d8-88c9-9548f22140a6", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "subslide" + }, + "tags": [] + }, + "source": [ + "### Recall transfer learning" + ] + }, + { + "cell_type": "markdown", + "id": "2f331f69-1ae1-46bd-8d63-43caf58ac756", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "fragment" + }, + "tags": [] + }, + "source": [ + "A deep network trained for one task can often be adapted for a similar task." + ] + }, + { + "cell_type": "markdown", + "id": "24edf320-bc14-4d8e-b140-5398c974a2df", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "fragment" + }, + "tags": [] + }, + "source": [ + "Reuse lower layers of network trained for another task.\n", + "\n", + "\n", + "\n", + "[Credit: Geron]" + ] + }, + { + "cell_type": "markdown", + "id": "45813c42-f93e-40c9-ab95-7e2d98c345fd", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "subslide" + }, + "tags": [] + }, + "source": [ + "### Problem" + ] + }, + { + "cell_type": "markdown", + "id": "5d87ccf7-160c-4cd8-8feb-51992b2027b6", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "" + }, + "tags": [] + }, + "source": [ + "We still require labelled training data.\n", + "\n", + "How could an autoencoder avoid that?" + ] + }, + { + "cell_type": "markdown", + "id": "3b3ced33-9d83-4f64-9827-098bc9e6328c", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "subslide" + }, + "tags": [] + }, + "source": [ + "### Solution\n", + "\n", + "Autoencoders are based on unsupervised learning, where we don't require labelled training data.\n", + "\n", + "The output data (targets) are the same as the input!\n", + "\n", + "\"Drawing\"" + ] + }, + { + "cell_type": "markdown", + "id": "5089c830-14dd-47b6-a9f2-4f61a700447a", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "slide" + }, + "tags": [] + }, + "source": [ + "## Convolutional autoencoders" + ] + }, + { + "cell_type": "markdown", + "id": "04d6e968-d6dd-4a41-a8d2-7fc01dc7340c", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "subslide" + }, + "tags": [] + }, + "source": [ + "What kind of deep learning architectures are well suited to analysing images?" + ] + }, + { + "cell_type": "markdown", + "id": "5eeb16cb-a959-4212-a08f-5c69c36d44d3", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "fragment" + }, + "tags": [] + }, + "source": [ + "- *Convolutional neural networks*" + ] + }, + { + "cell_type": "markdown", + "id": "31c114ab-aabe-4a40-84d1-4672bebdef86", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "fragment" + }, + "tags": [] + }, + "source": [ + "Other improvements:\n", + "- Residual blocks\n", + "- Depthwise separable convolutions\n", + " - Depthwise convolution\n", + " - 1x1 convolution\n", + "\n", + "(We'll focus on a simple convolutional autoencoder.)" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "id": "5e9a9a71-9683-4e33-9f45-bb0031420036", + "metadata": { + "editable": true, + "execution": { + "iopub.execute_input": "2025-03-07T05:34:07.197479Z", + "iopub.status.busy": "2025-03-07T05:34:07.197268Z", + "iopub.status.idle": "2025-03-07T05:34:07.202799Z", + "shell.execute_reply": "2025-03-07T05:34:07.202185Z" + }, + "id": "qom8ZHdgyLhF", + "outputId": "45b2544f-0812-4fc7-a4e5-d8df9f193f5f", + "scrolled": true, + "slideshow": { + "slide_type": "skip" + }, + "tags": [ + "hide-output" + ] + }, + "outputs": [], + "source": [ + "tf.random.set_seed(42) # extra code – ensures reproducibility on CPU" + ] + }, + { + "cell_type": "markdown", + "id": "b181d07d-e9fd-47c2-bf26-e6ff254a799b", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "subslide" + }, + "tags": [] + }, + "source": [ + "### Build model" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "id": "5db799c0-a1a8-4baa-a31c-d276e89436de", + "metadata": { + "editable": true, + "execution": { + "iopub.execute_input": "2025-03-07T05:34:07.204706Z", + "iopub.status.busy": "2025-03-07T05:34:07.204535Z", + "iopub.status.idle": "2025-03-07T05:34:07.226501Z", + "shell.execute_reply": "2025-03-07T05:34:07.225916Z" + }, + "id": "qom8ZHdgyLhF", + "outputId": "45b2544f-0812-4fc7-a4e5-d8df9f193f5f", + "scrolled": true, + "slideshow": { + "slide_type": "" + }, + "tags": [] + }, + "outputs": [], + "source": [ + "conv_encoder = tf.keras.Sequential([\n", + " tf.keras.layers.Reshape([28, 28, 1]),\n", + " tf.keras.layers.Conv2D(16, 3, padding=\"same\", activation=\"relu\"),\n", + " tf.keras.layers.MaxPool2D(pool_size=2), # output: 14 × 14 x 16\n", + " tf.keras.layers.Conv2D(32, 3, padding=\"same\", activation=\"relu\"),\n", + " tf.keras.layers.MaxPool2D(pool_size=2), # output: 7 × 7 x 32\n", + " tf.keras.layers.Conv2D(64, 3, padding=\"same\", activation=\"relu\"),\n", + " tf.keras.layers.MaxPool2D(pool_size=2), # output: 3 × 3 x 64\n", + " tf.keras.layers.Conv2D(30, 3, padding=\"same\", activation=\"relu\"),\n", + " tf.keras.layers.GlobalAvgPool2D() # output: 30\n", + "])\n", + "conv_decoder = tf.keras.Sequential([\n", + " tf.keras.layers.Dense(3 * 3 * 16),\n", + " tf.keras.layers.Reshape((3, 3, 16)),\n", + " tf.keras.layers.Conv2DTranspose(32, 3, strides=2, activation=\"relu\"),\n", + " tf.keras.layers.Conv2DTranspose(16, 3, strides=2, padding=\"same\",\n", + " activation=\"relu\"),\n", + " tf.keras.layers.Conv2DTranspose(1, 3, strides=2, padding=\"same\"),\n", + " tf.keras.layers.Reshape([28, 28])\n", + "])\n", + "conv_ae = tf.keras.Sequential([conv_encoder, conv_decoder])" + ] + }, + { + "cell_type": "markdown", + "id": "79fef246-0eeb-4789-b14f-d650b190774e", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "subslide" + }, + "tags": [] + }, + "source": [ + "### Compile and train model" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "id": "61650ab9-44aa-45f2-87fe-58812b3e8a61", + "metadata": { + "editable": true, + "execution": { + "iopub.execute_input": "2025-03-07T05:34:07.228316Z", + "iopub.status.busy": "2025-03-07T05:34:07.228142Z", + "iopub.status.idle": "2025-03-07T05:36:28.919517Z", + "shell.execute_reply": "2025-03-07T05:36:28.918910Z" + }, + "id": "qom8ZHdgyLhF", + "outputId": "45b2544f-0812-4fc7-a4e5-d8df9f193f5f", + "scrolled": true, + "slideshow": { + "slide_type": "" + }, + "tags": [ + "hide-output" + ] + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Epoch 1/5\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\r", + " 1/1719 [..............................] - ETA: 54:35 - loss: 0.2164" + ] + }, + { + "name": "stdout", + "output_type": "stream", 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+ "1719/1719 [==============================] - 28s 16ms/step - loss: 0.0171 - val_loss: 0.0178\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Epoch 4/5\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\r", + " 1/1719 [..............................] - ETA: 27s - loss: 0.0165" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\r", + " 5/1719 [..............................] - ETA: 26s - loss: 0.0167" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\r", + " 9/1719 [..............................] - ETA: 26s - loss: 0.0171" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + 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+ "\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\r", + "1719/1719 [==============================] - 28s 16ms/step - loss: 0.0159 - val_loss: 0.0155\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Epoch 5/5\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\r", + " 1/1719 [..............................] - ETA: 27s - loss: 0.0149" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\r", + " 5/1719 [..............................] - ETA: 26s - loss: 0.0155" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\r", + " 9/1719 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[ + "\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\r", + "1717/1719 [============================>.] - ETA: 0s - loss: 0.0151" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\r", + "1719/1719 [==============================] - 28s 16ms/step - loss: 0.0151 - val_loss: 0.0148\n" + ] + } + ], + "source": [ + "conv_ae.compile(loss=\"mse\", optimizer=\"nadam\")\n", + "\n", + "history = conv_ae.fit(X_train, X_train, epochs=5,\n", + " validation_data=(X_valid, X_valid))" + ] + }, + { + "cell_type": "markdown", + "id": "31776c9b-97a2-4285-841d-6d12b8bc9ec2", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "subslide" + }, + "tags": [] + }, + "source": [ + "### Inspect reconstructions" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "id": "09d0b753-4509-4501-82a7-783e39d1bde2", + "metadata": { + "editable": true, + "execution": { + "iopub.execute_input": "2025-03-07T05:36:28.921584Z", + "iopub.status.busy": "2025-03-07T05:36:28.921364Z", + "iopub.status.idle": "2025-03-07T05:36:29.161591Z", + "shell.execute_reply": "2025-03-07T05:36:29.160939Z" + }, + "id": "6p0Yud0RyLhG", + "outputId": "7112e556-b714-4645-af12-3bb3bd7cd6ce", + "slideshow": { + "slide_type": "" + }, + "tags": [ + "hide-output" + ] + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\r", + "1/1 [==============================] - ETA: 0s" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\r", + "1/1 [==============================] - 0s 100ms/step\n" + ] + }, + { + "data": { + "image/png": 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/hrI/+qM/Cnn9L+ea8Wd/9mdN+sYbb8yqflK8k2WMMcYYUwF/ZBljjDHGVMAfWcYYY4wxFei5JktDGZQSbeo80q16Fdr3aWOdN29ek6a+p9PzSukufEt2/Pvqq68OZbfeemvH+2ahhcYKHl9X1wyf/OQnO/5u4sSJIZ8dzSaqcWO/sA9VO0NdjeowGPKF16pLh61bt4ayuXPndqwf3W7oeMvC6PA+1HpQezZWcH4p2RwppZQJEyY0aW2XUga3TYbON+o/dFzx+DWPeevYmT17dig7cuRIyKsLAmpCp02bNpRql1Li+M1cdvQjbGuOBW1fromaz8b9aKJtzbHJOqiubuHChaHs3/7t3056XSmD3zNbx04XhqvBGulvMzTMzWWXXRbKfvd3f7dJf/vb3w5lc+bMCfmNGzc2aep/b7jhhiad6S074Z0sY4wxxpgK+CPLGGOMMaYCPTcXqpfdUuJ220svvRTKFixY0PE+bdu7o0Hb8eApU6Y06fnz54cy3YLnliLNEurSITvGXhOaUbQvMrMJ2yg7os6tfDW30rRAs9o555zTpNetWxfKVq9e3aQXL14cyvhe//Iv/9Kkf+EXfiGU8XiwevOdPn16KFPzAccezS3aJvRWr2OBptd+oc2clM093V7nPODWu5J58s5MVqXEscu66zgqJZoz2f7s81MVmsIy0zHXXe1T9mfmsiFzidDmTkRNhG1uInTN1igGpeQuHJjvxux9qtLmwiGbo6MF18+LL764SX/pS18KZepa5vbbbw9l999/f8h/4xvfaNKc9yoV6UZC8H94J8sYY4wxpgL+yDLGGGOMqYA/sowxxhhjKtBzTdb69etDXkObUK+lx6sfeuihUHbWWWeFvOoBMo0Mj/x2E+aC4VMyO71eS90AjxJ/7Wtfa9LXX3/9kOszmjz88MMhr22YRZ1v0+toP2W6B4bkoD5KQ96wf7/1rW816be85S2h7NFHHw35yy+/vEm//e1vD2XsFz3+z76mZkxhm+iYo+7wmWeeadLjVQOk75v1MedeN/O0zY1Ep2eyvSdPnhzyOu7UFUUppWzevLnjM0ayjvQbmeaplDj22Ua6NnQTLqWtDkOFv+O8VN2VHvcn1JoxtMqpBLVz2oZZP7SFRRqqJqvtPtlv77nnnpBX1wu6lpZSyoYNG5r0oUOHQtmDDz4Y8vo/xXV4pPoy72QZY4wxxlTAH1nGGGOMMRXwR5YxxhhjTAWqa7Jof6UmInNLryFHduzYEcoYWkN1GFnoHJbR3pppSFjXo0ePdqy7XtsWymfPnj0d79Mr6ANs0qRJTZr2bPUvRQ0E7f2a53urDf2aa64JZdRE6Dhi31977bVNetGiRaHsL//yL0Nebfh33HFHKPvN3/zN0glqADVMA8c42ySrO+87HtH3o88lnV/0cUN0fNCXXOZTKwt58uyzz4Y8dXeqRcy0h6RNi9jv6DrXppHRfuO81Pu0+S9T2p6Zoetppi8qJfogpJ8s7TPeh3M48+s13sj+c7N+aQshM1q6Ou2Lu+66K5StXbs25FXT/eUvf7njM1SbV8pgf3kaDoy+KtVPlvrlGireyTLGGGOMqYA/sowxxhhjKlDdXLhz586Q51F4mk+Us88+u0lv2rQplPEosW5zdhPqhSasbAuZph01Rbz44ouhTI//Z6aOUuJ25FjBNtJ3ffzxx0PZdddd16S1j0oZbPpUsyPdNOgWPF1I0LSk2/cazoh5mpm+8pWvhHxmWqL5V8cUzdw0Qymsu5pY2M5DieLe72TuSpQsDAfznDPDNde0hd/S9qfJfOnSpR3vWytsSK/QdmE/ZOtlZi7k72hyY18MF12zuX5npnv+92goL85DjuNs3eh32Cbq2qCU2C+HDx8OZermJpPHlBJN8ZkLjLa5ozKOr371q6Hs3e9+d8h/+MMfTu/VqT5090CXQaPJ+F4pjDHGGGP6FH9kGWOMMcZUwB9ZxhhjjDEVqC4IobaCdnu16Wf6rL1794Y8j1lmbho6Xdd2Le30mZ2Z9uoVK1Y06TVr1qT37eboeC1WrVoV8moXX7duXcffMWwJUXt/Fppm3759oSzTzmRuN6jJyrQUWfiQUqKGjM9ULRrHEMe8Xsv63HvvvU36ox/9aMe6jiVtGgodv5l2iuOe12bPUY0M9TKZLod9qkf6S4l9Q11lFjppvJPNi+xI/YUXXhjK/vmf/7lJ/9d//Vcou++++0Kea7iiY6NNw6rwPTjGdP3hf4aO225CxowVrIP2U1ZGTS376aabbmrS1Aerq5qJEyd2fEYpMfQdNU9Llixp0suXLw9ld999d8g/8MADTbobDVY37ZP95/I7JPsuGQreyTLGGGOMqYA/sowxxhhjKuCPLGOMMcaYClTXZNGflfomKSXa39/85jeHMtXX7Nq1K5Tx2sxPFjUbSqbJatPaqGbjP/7jP0KZapy+/vWvhzLqBjR80Fhx+eWXh/wv/dIvNWnVXRDqHIjqZzL/ZQxzQBu69iFt5Kq7oV6H16qGo80X04wZM5p0phfK/O/wmSxTHUO/arK6IQspRP9hmd8stqnS5jMr08/QH476ccvGXNszxltYnUz3xDF64sSJjtd+6EMfatLUz5CsPbPwW0Tbvs1PlmpG2UeqMaLfuzlz5qT37TcyPRL1Ue95z3tCXv9nGXbqD/7gDzo+433ve1/Iz58/v0mvX78+lKnW69FHHw1l//3f/x3yl1xySZMeqh+sUrpbo6nJ0v+fzH/fcPBOljHGGGNMBfyRZYwxxhhTgermws2bN4c8t57VhKChaEop5ciRI006O/7P+3BbuJuQHGrC4lY076OhVvSoaymlvP/972/SO3bsCGUzZ84MeTUZ/f7v//6Q61qTe+65p0lv3749lH3yk59s0pdeemkoo/lQTWVZyAsexc5cfzD8iebbwmNonv3JvN6X28s8zqxwrKpJivWh64rxiL4TQ09l7jUoJcjQo/htblj0mRxzHGdqYsjM0GS8mwt1vcxMTW3cfPPNTfrKK68MZZmJJpt7beYaXRs439vWbEVd8rSZKGnqHgu4Jmo/ZeG5GBIsW4dpNr3tttuaNN07fOpTnwr5uXPnNmmVm5RSytSpUzv+bvr06SH/sY99rHRiuGOVY5Ftoms0XTWNNOydd7KMMcYYYyrgjyxjjDHGmAr4I8sYY4wxpgLVNVnveMc7Qv7BBx8MeT1eunLlylCm2h9qfTJbe3bkss32ruW8lvZftTPzWOpdd93VpO+///5QRvu+2oP7ER7HVR3GP/zDP4Qy6mzUFp5pZ6g3YF41LzySrFBXk2kVqLPib/WZtOmrXotH3jMXDnyGao02bNgQyhh+ol/Rdzpw4EAoGxgY6Pg7zidtC2qndE63hedRMn0cyzl2VRN6qpGF1WF7ar8cO3YslN15551NmiG2qL/V9TTTWbUdmddxwzWaeprM/YQe26desE0DPBZ0E35N/2MOHjwYyvbs2dPxd5wf+tvzzjsvlOl/XClRe/yrv/qroey3f/u3mzT/Bz73uc+FvIa6It3oBRU+k+NY+7+bEDxDwTtZxhhjjDEV8EeWMcYYY0wFqpsLub23aNGiNK9897vfbdL0wMtt4swMmG1Tk8wDPH+r5oWtW7eGMj3if/XVV6fP7EfUZMDj6R/4wAea9Je+9KVQxu3m559/vkmzbV988cUm3WZyy8y4aq5qcwWh45H1yY770yO9bmnrO7bdN/M43mbK7lfUlEJTk7Y/y9oiKihqvmlzyaL10TF2st9q39AklB3d5vgcb2TrHPtBzbN0XbJ79+4mzbHNa7V91QRJaJ7J3D3wPqy7moV4rbrSaXP7k5lXe8W6detC/sknn2zSq1evDmXqioEuby666KKO11KKoeZCml4ZJUTNxb/8y78cyg4fPtyk+Z/B6C3KSNyLKPRkr1KfUqL7qPPPP39Yz+iEd7KMMcYYYyrgjyxjjDHGmAr4I8sYY4wxpgLVNVlt+oksHIVqXWiLHaoGqw1qEzKtQlaHxYsXh7Jt27Y1adp4eTxYNQ/DtTmPNqptYB+p9iJrr1JKmTFjRpN+4YUXQplqNujWgsfBtY14hF/ryt9xLKguhO/Ffpk1a1aTnjZtWihTvY5eV0rUqZRSyvHjxzs+Q92UrFixoox32BbZ/O8m/JW2G8cK54zmqcPJtEAcK3QbcyqRaRzZD9pP1Cbq/D569Ggoo1sE1TVRd6VzmDo6jhOWZ9fq2kv3DhoCinXnGtOm5e0FbHtd6z772c+GMl1rqZNlKC91FcOyxx57rElz3m3atCnkN27c2KQZOm7//v1NOnOr08ZwNVq33357yP/P//xPyOv4+/CHPxzKtL50NzEU+uMf3RhjjDHmFMMfWcYYY4wxFfBHljHGGGNMBaprsjLNVRuqiaD2h35LhqrDot4gs+m2+fHJbMvUIyhsk37RYQ0V9RHFfmD7qvaC/lC0fRnChOFZ9Fr29fTp05v0qlWrQhlt+BpSgv1JzYGGiaAPpc2bNzdphr+54YYbQl791FxxxRWh7MorryynEtTdKQwplPnFyuDc4jzVMcfxSM2e1on93w86nFrou2UhbkqJ61y2nqs+ayRwfrfpPofL5MmTmzTDrLBNqKUcC6jtHa4/J/oz0/nC91b923PPPRfKqPWiDms0GK3/xgsvvDDkqZvVNjh06FAou/baa0f07PH1726MMcYYM07wR5YxxhhjTAWqmwtJN1vBakLiFnZ2lJP31O3uNpcS+ltey7prnTQ0QSmlPPHEE036kksu6fi7UkZmUq1FVqdly5Y1aW4R0+yn7gu+9a1vjUrd1DxYStz6fd/73hfKbrvttlF5Zi/olZmkJtze1214mlwzVyYZdMPAI/16Hx7b5/icP3/+Set6st+eSmQuWmg2VXlAL9aqXo17HY8ctzSpMQzLeEb7sw2dA6NlDh4L3v/+96f5mngnyxhjjDGmAv7IMsYYY4ypgD+yjDHGGGMq0HNNVjdoqBrqmHgU+/HHH2/StK9nOqvsWmoDFi5cGPJq2+ZRfOqwlH7UYJGsjnr0WUMplDI4LIMejdYwSaVELdWJEydCGY/pq+aN4SU0lMtIj9uOBlnolszdwHjUYJUS3Taou4pS4jux/6nRGmoYG2qGDh8+HPJ6tFzHaimDw6eotpNrDMfyqYSGlOEauHfv3pAf7jH6bsKbDZeRzJmDBw826QULFoQyamwHBgaG/RxzeuOdLGOMMcaYCvgjyxhjjDGmAj03F3azvfv3f//3HctoklHv3Dx+qyYMmsHOPPPMkNfj3xMmTAhlPMI6XA+3I4lC3iuGuw0/b968NH86QDPYqY56TacXajXd0QRMk7+ajOmWQU3EnHdTpkwJeTVL0gP9xIkTQ17NZipPKGX4HrXHA3Pnzm3Sa9asCWX07L169ephPaPfzd/a3xs2bAhlixYtCvlu3B4Yo3gnyxhjjDGmAv7IMsYYY4ypgD+yjDHGGGMqcMbLvThna4wxxhhzmuGdLGOMMcaYCvgjyxhjjDGmAv7IMsYYY4ypgD+yjDHGGGMq4I8sY4wxxpgK+CPLGGOMMaYC/sgyxhhjjKmAP7KMMcYYYyrgjyxjjDHGmAr4I8sYY4wxpgL+yDLGGGOMqYA/sowxxhhjKuCPLGOMMcaYCvgjyxhjjDGmAv7IMsYYY4ypgD+yjDHGGGMq4I8sY4wxxpgK+CPLGGOMMaYC/sgyxhhjjKmAP7KMMcYYYyrgjyxjjDHGmAr4I8sYY4wxpgL+yDLGGGOMqYA/sowxxhhjKuCPLGOMMcaYCryq9gN+/vOfh/wrXtH5u+65554L+Ve96v9X70c/+lEoe+mll4Z839e+9rUnvWcppZw4cSLkf/CDHzTp173udekzX3755SY9Y8aMUDZlypSOdfvJT34S8meeeWanqvcF+p6llHLGGWeM+jN++tOfhvwPf/jDkNc2mzx58qg882c/+1lah1e+8pVDKmvrP33O9773vVA2Wu9SE7YT56LOcZbp+/Ldjxw5EvJHjx5t0pynEyZMaNKcT5zDWofDhw+HsnPOOSfkFy1a1KTf+MY3hrJZs2Y16YkTJ4YyzuFXv/rVTZprno6VXsylXqLvw3dhO2g52yFbv4f6/Lb7/vjHP+54H4634dbHjJxsTGXzh2XdoPfheqfzt5vvmeaaYdfKGGOMMcZ0xB9ZxhhjjDEVqG4ubNtOO3bsWJNeu3ZtKHvxxReb9PPPPx/KDh48GPKTJk1q0txifMMb3tCkaYY6fvx4yD/99NNNet68eaFs9+7dIa/3mjlzZihbtWpVk37nO98Zyrgd2e/mQm6za5/qVmopg9v+mWeeadKZuZVlNB2ryZemGt3C1TFTymAzjz5TTcOllLJt27aQ1zq9/vWvD2VLly5t0uw/mha1vTj++sVcyD7WfnzhhRdC2bPPPhvy27dvb9I0Ae7fv79J06x36NChkNfn8JnaxhxjrI+29/e///1QdtZZZ4X8tGnTmrSaB0sp5YorrmjSl156aShbuHBhyGfrjzIezYU6ZjlntP6UV3AeaB+yHbI1kCZoXXO4/qjJuZTY/9n/Au9jxo5sTmRjKjNP83+B64uuw3x+Nm5tLjTGGGOMGSP8kWWMMcYYU4Hq5sI2Hn744SZ93333hTLd4nvNa14Tyrjdp6f5dOu+lGhqzE4ilRJPI/EZTz75ZMjriZRHH300lH3nO99p0jSLfPCDHyz9RnYyIzMX8ndq/i0lmnVp4tX+pamBZgktp2lRt5C5LUwzgJqDeaLou9/9bsjrmKPZUd+FpmxuIauJiiZo3YpW80Up8cRabbKTYRy/GzduDPnHH3+8SdOUq33DdslMuew3mtgVmvmmTp3a8XccrzpeaGp68MEHm/TevXtD2S/+4i+G/OLFi5v0/PnzQ5mOj7PPPnvwC/Q5Kqng+qnjRNfgUgb3oZrcs/HG9YYmIl0b2J9qni4lzi+OTTVtc+7RHDwezLqnA5lZmeNExyr/e3bu3BnyCxYsaNJcT9SUOBxpj3eyjDHGGGMq4I8sY4wxxpgK+CPLGGOMMaYC1TVZtJmrJqaUqIOh5kl1ENSn0GWC2vGpC1JdRqb1KSXacXk0nHof1RHwvlu3bm3SX/ziF0PZNddcE/Jz5swp/UbmxVtt3wcOHAhlGzZsCHltM3rf3rJlS5OmJ272i5ZTO6XuHajX4rHexx57rElTM0K7/ezZs5s0bfF6rJ3jhN7/1Vv52972tlCm41qvK2WwxqUmbCd9v6eeeiqUrVmzpuN92I/Tp09v0tRM0C2Gon1aStTEUFtDrVemm8juS42YjiUdqyd7puruqOfJPFj3A1yj2b66JqpLllJiG1FLxTmcaTm1jBpHaidVS8U1mfpBnYt0L7Jjx44mrZ7/Sxms61VXH6Yuuk5wPef80XWKLnhUd0VXTZm2kH2va9pwvMp7J8sYY4wxpgL+yDLGGGOMqUDPzYXcilbzDc1J+luaGhhsVvNtR4AVuobQ7Ug1dZQy2Lykv808IdOk9sgjj4T89ddf36THyvs7TYLKnj17Ql7NujSjcBs28/iuHvR5hJomAs1zDKmphmYcvpce06e3dXqZ1zxdL+hY4BY220vrx2u1jAGKe2kuzLzfq4uGUnIv6jTH6XY+5yHHg5qX2E7622yulRLXDcoMOHa0H1mm9+W4Ui/3pcS+WrZsWSjTOc024DgfC2gqprlO5zvbXs1xbCP2i44bmm+0z9q8wev6zmszszelKmrmpwSB8/2tb31rk6YZ1HQH/58ZBUP7heZgrtGKmn9LKeWJJ57o+Az+T+k6wG8C7W+6dxgK3skyxhhjjKmAP7KMMcYYYyrgjyxjjDHGmApUFwRQ58AwF6rDol5Bw1PQvk+7qWp/eB+1AfOYPDU7GvaCYXWoN1FbLbUKqjdhGTU76nJiYGCgjAXU2ai2gce21fZNOzjbKAuBoToWHpGmXkfdK3BMaZ9S20X7v+rsaJen9kP7nzoMtfHTbQG1H9p+HAt6dJzjrZewTfft29ekGW6GfZxp4rTP9bpSBuskWK5oP2buE0qJ7ZiF0SkljnP2v64NXDfoJkb1hdRrXXzxxaWfoY6JbaRzj+ulujmhvoz9q7pZhr/RfuJ9shA8XCfYLzrfqOPV59ANC8MoLVmypElbkzUyOIaoAdR1mX22a9eukFctFddPHVN8ps7XUqLWi+vLeeed16SH427JO1nGGGOMMRXwR5YxxhhjTAX8kWWMMcYYU4HqmixqpxjaQLVA1KuoTX/q1KmhjDoC1XrRN47SphFT7Qe1J0TtvJkmi8+kPzB148/3on24FtQ9aP2pc9D6U6/F0CSqj8v8ldGezvfWPPtFn0mNBm36qt+hzibzv0XNmj6HYRhU11dK1HdQ+6GaNvph6yXUz6hmgW3IdlJtC+eT9jn7NJtf1FmpXoo6K2p49L7UyxHtD47BzIcVNR76W5bpffrBLxahFo1rga6n9FOkej2Oi8xfIcebPoOaMI4pvZZrPee/zltqMPVaPpPzXf/HuEYrvVqva8G5pfnRejeOC84Xnb+cL+xDXcM5TtSnFUN4cU1TXdjatWtDmfovVJ04n9+J8T0ijDHGGGP6FH9kGWOMMcZUoOd71zSX6DYet2gVhrjhEdvsWK9uf3MrnCYa3brktnBmzuFWpW6r83esn26PDifK92iQHb/mdq7mafKhqUzflX2vW/A0H7DNMncZGTQn6HNoymZezZDcXlbzAsct20DHOMeJtp8eh+8Fat5hm+r7sl34DjoesrHNscL7qDmC81TzrE8WdoXwvvpMjkFtHx4zz9wc0KSmbZtJGfoFrgU6frnu6rvStQHnhZoL2X6Z2YV9putIm6RD+5DmTB3jlDLwWh0nY7VG94IsTNFomQs5XzmfdSzwWo4xXUPYZzqfuSYwhJlKYnbu3NmxbDh9750sY4wxxpgK+CPLGGOMMaYC/sgyxhhjjKlAzzVZtNNn4TJUG0C7PG2jatdt034o1Btldme6J9A6UEOk186cOTOU0T6chZTQutc84k9NjtqhWZa5QaDuSu3i1LWozq5NE6E6J7aRtguP6lIDk/UZ31OPp3OcZK4BZsyYEfJaX7rvUM0BXQjQNcRI4TzQvmEoINWr8HfUSWR9rO+eHQ/nc7rRf3DsZDorriPar9TdKZnOrpQYzonHzHVcjXaf1iAL+8WxoGsb2yQ7Np+FSWtbUzI3GNTs6DNVN1dK1JMtXbq0Y31KiWtFphcc7/TCBUWmwSolzlnO7S1btoS8/s/y20LvQ1dDmeZu4cKFoUzX88wNUSe8k2WMMcYYUwF/ZBljjDHGVKDn5kKaE3SLj6YdNUtwS5YeobNjn9lRXaLP4dZpFn2dW9iZqZNblbqVqWaHUnpnLqQZQPM0Y6n5o+04rv6W27nqkZf9yWdqu/CIvG4L01TMNtP+Z7+wf9WsS3Oajg3WZ/HixSGvJimaGdVkxmPtow3NodrGNKXo0e02VxcaxYFmVW1Dmu4yeJ/MWzj7WPuG45p112vpskXncGYeLKWUyZMnN+nMhcR4IIuawDmsbUQ5BU2jWn78+PFQpv1L0yz7OxubXLN37drVpDMpA+uauaNoiyJwKlHDfMj5yv9OXaf4v5B57ed6ruspf8f76tiYNm1aKNP5zHVpKHgnyxhjjDGmAv7IMsYYY4ypgD+yjDHGGGMq0HNNFo9SKqprKCUeD6aeJHNvT5u+QttspnOixoB6H81nYTamTp0ayqh5oH1YyY4rjybUrmj4DGpMtL5t0c31vryPaiKo7eKxXm0H6gRUz8G2za5l21KTo+Mo0whRF0J9U3YkWetbO1xH5vpiwYIFoUw1M5wH1BRqX9FFhY4Hzku2t/YVn6H5tnBX2sa8lmNQy6nD0f6gDodrlbojYciOLGRMP5JpT7MwNhy/fG/tJ/avrilcCzinVdfL+rDuel/2va5dnMO8z5QpU4oZHThfqcXWPmP/zp07N+T379/fpPmNoGOM6/eBAwdCnhpBZfPmzU169erVHa/rhHeyjDHGGGMq4I8sY4wxxpgK+CPLGGOMMaYCY+4nS6FNX+2x9JXCa1VbQX8ZqkWhvZ86FbXjtvlcUlsyQ6mo/oSaK+qWNHwLr838do0mtGerJouoHqUtxIT6n6G2Z9++fU2a2hn2UxYOR/UUHBe8NrsPtR/qRyrzHbRo0aJQlmmW6P9L35t6wdGGbarje8mSJR2vpf6Ic3H27NlNev369aFs586dTZrtQh1gNt8zf3GZH7o2TZbqtzJtFzVZ5557bshrGyxbtiyUjTdNVuYzivNL255rVxY+hfNJdascJ/RbpD6NuEZT96e6Xq71OsZZH/ZZpps13ZGFxCslrjeck/Pnzw95/Q/h+qnjiPehBks11VwzVGd66NChUMYQPCfDO1nGGGOMMRXwR5YxxhhjTAVGxVzI7T/Ns4wR3nXLNjtiy23hzLTC8An6W5qseKRet79psmBICT1Oyu1l3ark77gdmbky0LKa7hxoLtSwITTrqHmTW/uZyYV9lh0V5xaytgPbLzuKnbV1VtdSotmER4D1mez7zGVHFjoqa4/RIDOzcn6pGwIeX6dpRefMhg0bQpnKA2hSZ5vqfWgC1HWE86AbcyHz2ueUMqxatapJr1y5MpTRXKhmKZrbapr5a8D2VVMZ+17HBo/Xczxn4bi0H7im0E3MvHnzmnRbmJPzzjuvSbPPNBwW/3sYKisjcwtzupKZlUkWMo9jgf2t5Vy/Nc//MPaTfhdkYeS4fg+F8TX7jTHGGGPGCf7IMsYYY4ypgD+yjDHGGGMqMCoG5Ew/8fTTT4cyHp1UnUh2NJs2VeqlVFNC+7raW/k72l/1Wj6TdnotpxZIdRisD+3BqnEitUOt/B/Uo+ixaYZCUrs43VFwLOi7s/30WHwWcof5bLyxzzJ4H+p1tA1YHx0nbZo71aKxP3UsDMfePxJ0zrBeehSeWodsnrItdHxk+keWZ5o89jF1GlrOuZbVgf2mGh666VANVilxLFNvpLoRlvUDR44cCXl1u1FK1Lhyvmt7ZuHMSol9Qbcg2oeca+xDdZfB/xOupTqOqJXUde3YsWOhjOGhdA7TnUc23k4nhvpf1Y1GkfOV/attn30j8L+HGmTV/XEdUM1t2xg/Gd7JMsYYY4ypgD+yjDHGGGMqUH1vk2agzHQ2MDAQytSNgEbCLmXw0U7dFqYZQk0Y3Cbk1qVeS/MNn6lb1RdddFEoU1MTjz1zO1K3rVnWK3Ph9OnTQ17NGtyG1XZQT7mlDHYFoLA91URAMwrNl2qeo3koeyZNWzr+aJLiVr+aCPie2iY0OfOZ2l6ZObO2C4cMzplsS59ls2bNatLcTte+aTOHartl455zhGRH6rPj4jRTaRnfi24a9DltHunHgqw9OZ9oKtM1kffRNuLvOL/02ix6RpvJX+cb65OZgbh+67X06J6ZoPkf1o8m4G7I5tNQ3aqwvBu3TtkzDx48GMpo9tP/YPavzkmORfavfmtkHuk574eCd7KMMcYYYyrgjyxjjDHGmAr4I8sYY4wxpgJVwuqojZchbqjL0Gt5rFf1HLS3Uhei96GNWW3vrGs3oT2ykDw8Hqw6ld27d4cy2vQ3bdrUpK+66qpQxpAttaDmRPUp3USkZ/uqHo06DNUyUBOWheChPkrh+KIeTscN9TpsA9V+8NrMZQg1WjqO2AaqGRmOvb8W3Ryz1nrzeLuOncztCp/JNtRxxXmZHflvc9Oh13IMahgghoxh3XV9Yh/3I5kuhpoofR+uw9oOnGs8fq/rBvtF+6FN46T35TjlXMz+F1Rrxr5nG6jrCj6T/1vjjeFqBrMxlJWxjzI3DU8++WQoe+qpp0J+27ZtTZr9oOOIa2s2f6n7Un21NVnGGGOMMX2CP7KMMcYYYyrgjyxjjDHGmApU8ZOl9nX6/qF+Qu391NPotdQ50C6udmU+U23AtAfTNstyhVogrS/rrvWhvoj2fn0X2oOpA6sF65T5FtO+oD6LWprs3RYsWNDxPmxrDXtBe7/a07P+KyXXl7APVU9E7Z6+p+qqSsn9/FB/oM/oB39KI4XzW3URnGvZ+7K9td0yH0al5D6rOM7YH53K6GeHjDdfSfpuDH2WaQz5nllYIs6Loc7TzJ8Vn0OtJOun4zHTnVJPxjpkdc/0guONrP4cJ5zr8+fPb9LsM52zbGtqlvfs2dOkGTaJv9UxtmzZslC2d+/eJn3o0KFQxv8XHTfsXw3jNBy9pXeyjDHGGGMq4I8sY4wxxpgKjIq5MNti5PY8j1nq1u+UKVNCGbdsFW5H6tblzJkzQ5luBdLUwO1l3SqkSZJb07p1mB1JpnmLx9w1zy33tlAkowW3SHVbltvE2i80t3B7V9Ht21Ki+Yj9wm1hNbnSXYbWnb9j/2YmXtZBxxjL9JnsT6L3yVwjcEz3k0uHDB3fBw4cCGXabpw/3LLXcs79zFxIdA7RlJi5GOEz1f1MFnKH9+1Hk1HmZkfDepUyuP7aT3qcvZQ437m208Sqbcixrv3EOcz66dxjP2ThuTiftH7qoqGUwRIPdSugrj1K6c/+zuBY2LVrV5Pm/4CukdoGpeTmQ95H/yspKaFbBnVpxPtw/KmrpPPOOy+U6RjjM4n2oYbYKaWUpUuXNum2kF4nwztZxhhjjDEV8EeWMcYYY0wF/JFljDHGGFOBKmF11L5JWyh1GWrjpL1Vj7fzODCP46rtljby7Cg+NRua55FzXqvP4bWqT1CbbimD20vdJbANeqX1oK1Z9VOqa+C11EBQc6T9z/aj1kLhONF3Z/vpM2nDZ/20rdvCO+h9qRPR96JGjDoRrTu1KFrWK/3daKPvwDbVPs/C35QSxxXbUN1/sP/Zx5rnuOb8V+0NdTiab3Ph0O+6HM7LLCxUFk6MuiadM9Q1ZWOd/aJ9qnP0ZOhvuTbxXbS+XH90PFIvSl3OwYMHm7Qe6S8ljuNeudwhWcgqtufWrVtDfufOnU16x44doUz1pnRfwLl05MiRJp2FIeO4OHz4cMjrmOKaOGfOnJDXcEiLFi0KZTrmH3jggVDGcH86NhhGTuuehZTrhHeyjDHGGGMq4I8sY4wxxpgK+CPLGGOMMaYCVcLqqL8Z2t7py0LtumpfLSXa+KmJoc1XYfgW1XPRdk2tgtqDqdGhLVnrS58/8+bNa9KZ35lSYsgY2vT1vWkrHk2oa9F3ZTton7Zp3PS31K1lei2+q/YT7elqJ6cGMLtPFo6lDdUKsO34TO1v1k/zLKPfuH5F+5htqGXsN16rYz8LwdPm+6rT80sZrK1SDQ+fqetYFgprPMB2UH0NtWiZjpZtpPelbpZaIL0P12HtQ/5ncE3UulPXSV2YziHOU73vk08+GcpUX1RKXKNZd10rx0qTxf8mXZ+++c1vhrJ//dd/7XifzGcax9DAwEDIax8ytJ3Wh33EdeGCCy5o0nPnzg1lF198ccirHpbrpY5jlvE/WdcB+nvLwqQNhfG1UhhjjDHGjBP8kWWMMcYYU4EqYXV025AmwOXLl4e8biMyPIluG3PrmUc71azG+ugxX5q3eCRZy7PQHqwTo3zrlie3cunSYcmSJR3rPpyo38OBZhQNHcHtezUv0FTD7XLdZuc2sZoX2J80S2i/ZK4OsvAhvE82bkuJ/cvxp+3FccGxoM/M3J2MdFt6rNA2ZqgNNdFwrnUTokL7vM0ko/ONMoOszzkHdLzS1ER0rWi7dixgW6tZKHOlQjgvtS94vJ39nYXcUpMRx1D2v8D60Cykz8zcd/B3rLuOE87TXq3RdFehbN++PeT37NnTpO+///5Qtm3bto734bupSyGu35kUg/952tY0xTJMkbYnTZLM65zN5jZde9Dkq+/CcTpS9yzeyTLGGGOMqYA/sowxxhhjKuCPLGOMMcaYCoyKJov2fs3TFspwOBq+gDZ9takeOHAglFGXofZ2HsFU+3CbfVWfSRt+FjJEwy6UUspb3vKWjnV94xvfGPJvetObmjSPtXfjVmAk8F31CC7roHZwlrF/9VqOE7XhU3fBsaB9SC2A3jc7mltKfE/qOail0XejXkePB/MZvFaPGVPnp2XDCdnQD2jfsI91HHEe0JVJdlxc25i6Nmr0dF5yfNK9i96L16p2hHoYanb6HeqGtB2oW6N7Ch3PbHtta84Dar327dvX8VrVwbCt6Q5A5xDfa9asWSG/e/fuJk0XEzoeOfc5T1WTyWt7NRYY+kfbcNeuXaFs3bp1TVrD5pQyWHel78b/AV2Tjh49Gsqy9Zz9q3Od+tb58+eHvLYnXTZQv6VQB5a5D+Jam7mYGOl/sHeyjDHGGGMq4I8sY4wxxpgKVHHhoFu4ag45GXott4X1GCq3qWmS0SOZ3O7WbU1u/XG7WbcVs8jmvBfL9Bg/22DBggUhTxPbWMA66JYyzTpqXuC2cOaigP2iW/JtR2y1Dhwn+ltu9RI183Hbn32YmUI6XcdnME9Ttm6Nc0yPF7QdOb+0r7L+LyWOFZotMk/93PrXsdMWJUH7leO8m/4Y6THvGmRuB7Q9OQ8ofdC+UHczpcT+5X3Yntl873TPUgabANUdAE1WNDPr2stnqnsCjjeu2eqKiGtlrzy+czxq/3Kcq2mUazI9/KtZl+2nv92xY0coY/QWnXdcB3S8XXbZZaHsmmuuCXkdY3QBlUEzpL4n30v7nuV055FFlBgK3skyxhhjjKmAP7KMMcYYYyrgjyxjjDHGmApU0WSpbZ52+uw4Lm2qDE+i0Maq9mpG9VZbMetKHY7a26n1oN1eNQc8Bq3Hv9WdQymlXHHFFSFPrcpYwOPNqhViO2h920LTqBaE+gltMx6t5zFuPWLL+2TaE+pCtO4cQyTrF60PxwW1RuqegjoGdeeR6VT6GW1jjhWdl9Q/Zq4D2P+qZaPmjfo9bUe6d+D41Dpw/dGxzfpQA9Or0CoZmXaEY13XYeqPeORfdUbUR6l+hW3CuahrCueIXst+oC5H3f5wjvI9VRvEcaPXMpQK3QpoG/CZqgOtqcnS9y4l9jf7MFufGNZG3VxwHda5xLWe2iXVds2ZMyeU6fz99V//9VD2zne+M+S7+X/RPLVy2iYct9Tu6n2omdZvGI7boYTQGvt/d2OMMcaYUxB/ZBljjDHGVMAfWcYYY4wxFehNzBaBNla149OmqmW0qfLaLMyJ6iVoQ6X9X7UBmW8ZQvu02s/PP//8Id9nrKB2ZeHChU06078x1MJ3vvOdkFd9HJ+h+h3auqmlUj0HQyypRouaggsvvLDjtdTj0Q+NjhWGrdDwDgyrMXfu3JDXsbp8+fJQpiGVxluolv9Dxwd1VjqHqaVj+6t2hDocXTfawg/p/OI44pxWbRLXFL3PwMBAxzLWb6zI9Cv0W6TXUifL8at9OHv27FCmekPeh2utjpOsLNNclpLr37iO6H/BJZdcEspWrlzZpLds2RLKOMb0vgwBxmfWgu2rZGsH68v/xyeeeKJJM3SPtoOGRSplsL5UdYsMhzNz5swmvXr16o51bSObZ/x/UV0Y/btxjOl6zvGv42QoGizSf//2xhhjjDGnAP7IMsYYY4ypwJibC/WYJbeFdXuUR2NpptItZG4F6pYnn8HjrUpbuBs1NdLUpOY2mjppsuiH499sMzV38oi8bk3THEPUDMA+1DzHBY8Az5s376TP5zMYiZ1b2mrO4jO53azjj+Yidb3A+tA8rONv2bJloSyLKj9e0PBXPB6u4yoLd1VKnJucE3TL0ul3/C3Nlxyvanpm/bT/9Xh6Kd2F+xgrdHxzrKv5kPOSR9h1/KrZh/fhMzLzcOZuIjumzzzNNxw3Wq5rSClxbaDMIHOJwLW+V+GwuD4p/E9REyFNvOynK6+8sklTisE2U9i/ai5k+LBu0PWcZm6SmQ91nFxwwQWhjP8vS5cubdI0r7bJE9rwTpYxxhhjTAX8kWWMMcYYUwF/ZBljjDHGVKDnmiyidlPaeNUevGbNmlBGG7ragBkCQ/Uc2dHhUko5ePBgk2YYA9qZs9Azegy0HzRXbVCPou1E+zV1GQrbbMWKFU1648aNoUx1TtS/8Vi0llNjoDqs7GhuKVGDxzHE99I22L9/fyjT/mbbUdOimrZTQYNF9P3ZFtpu1PadOHEi5FXjSF3EsWPHmjT7mEfbNWQG1wJqxjJUW8eQLBzn/Q61LdpmnN+ZVpHrp+YzNxFt6LVt98m0Zlxr9V7Udul7UYNFDSbD7PQb2frd1g/620yD1fbMkeiwsvsq7MPs3VQrd+6554YyriGjVfeT4Z0sY4wxxpgK+CPLGGOMMaYCZ7ycnaXtI772ta+F/OHDh0NeTT8sU5NFZhIqJZoWaYZYtGhRyOsWo7psKCV6iTX/D7rd0C16bvPTjNt2lLc2PPqv5kKakmjqUvNVm1uQ8Yi6N/jCF74QyjIzH03Ceh/2/+7du5s0t/ZpgtXfPv3006GMJko1PdPVinrnf8c73hHKGOFBl9F+8P5OuMxrX9DtifZZKbE9aVbTeTDSo+61oZuD9evXN2l6QadbCzU3cX4bk+GdLGOMMcaYCvgjyxhjjDGmAv7IMsYYY4ypwLjRZBljjDHGjCe8k2WMMcYYUwF/ZBljjDHGVMAfWcYYY4wxFfBHljHGGGNMBfyRZYwxxhhTAX9kGWOMMcZUwB9ZxhhjjDEV8EeWMcYYY0wF/JFljDHGGFOB/wVGozGJOw+34gAAAABJRU5ErkJggg==", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plot_reconstructions(conv_ae)" + ] + }, + { + "cell_type": "markdown", + "id": "e5929117-ce3b-4dc2-a1ba-c39e38019b8d", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "" + }, + "tags": [] + }, + "source": [ + "Performance is already significantly improved (and could be improved further since we are still only training for 5 epochs)." + ] + }, + { + "cell_type": "markdown", + "id": "3530784e-54cd-4366-85f5-e406f1bf7726", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "slide" + }, + "tags": [] + }, + "source": [ + "## Denoising autoencoders" + ] + }, + { + "cell_type": "markdown", + "id": "1e210f81-e1c7-42a6-8338-498f09f4a9a6", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "slide" + }, + "tags": [] + }, + "source": [ + "Another way to force the autoencoder to learn useful features is to add noise to its inputs, training it to recover the original, noise-free inputs. \n", + "\n", + "This prevents the autoencoder from trivially copying its inputs to its outputs, so it ends up having to find useful patterns in the data." + ] + }, + { + "cell_type": "markdown", + "id": "43ee18c9-9d4a-472f-a872-9d77908bcf63", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "subslide" + }, + "tags": [] + }, + "source": [ + "\"Drawing\"\n", + "\n", + "The noise can be pure Gaussian noise added to the inputs (left) or it can be randomly switched off inputs, just like in dropout (right)." + ] + }, + { + "cell_type": "markdown", + "id": "ce6a9b5e-aae8-42fc-960a-212dfe3959c8", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "fragment" + }, + "tags": [] + }, + "source": [ + "We can inject noise into the model and still compute gradients to train. We will come back to this when considering variational autoencoders later in this lecture." + ] + }, + { + "cell_type": "markdown", + "id": "866f9c63-361b-4419-8a0a-b5a9771fbe5f", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "subslide" + }, + "tags": [] + }, + "source": [ + "### Build model" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "id": "ff41363b-b29a-4f8a-99b7-dff807e6c4cc", + "metadata": { + "editable": true, + "execution": { + "iopub.execute_input": "2025-03-07T05:36:29.163744Z", + "iopub.status.busy": "2025-03-07T05:36:29.163566Z", + "iopub.status.idle": "2025-03-07T05:36:29.172401Z", + "shell.execute_reply": "2025-03-07T05:36:29.171787Z" + }, + "id": "qom8ZHdgyLhF", + "outputId": "45b2544f-0812-4fc7-a4e5-d8df9f193f5f", + "scrolled": true, + "slideshow": { + "slide_type": "skip" + }, + "tags": [ + "hide-output" + ] + }, + "outputs": [], + "source": [ + "tf.random.set_seed(42) # extra code – ensures reproducibility on CPU" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "id": "873103ca-f652-4ac5-8e76-dfd27cb126d1", + "metadata": { + "editable": true, + "execution": { + "iopub.execute_input": "2025-03-07T05:36:29.174398Z", + "iopub.status.busy": "2025-03-07T05:36:29.174203Z", + "iopub.status.idle": "2025-03-07T05:36:29.197789Z", + "shell.execute_reply": "2025-03-07T05:36:29.197181Z" + }, + "id": "qom8ZHdgyLhF", + "outputId": "45b2544f-0812-4fc7-a4e5-d8df9f193f5f", + "scrolled": true, + "slideshow": { + "slide_type": "" + }, + "tags": [] + }, + "outputs": [], + "source": [ + "conv_encoder = tf.keras.Sequential([\n", + " tf.keras.layers.Flatten(),\n", + " tf.keras.layers.Dropout(0.5),\n", + " tf.keras.layers.Reshape([28, 28, 1]),\n", + " tf.keras.layers.Conv2D(16, 3, padding=\"same\", activation=\"relu\"),\n", + " tf.keras.layers.MaxPool2D(pool_size=2), # output: 14 × 14 x 16\n", + " tf.keras.layers.Conv2D(32, 3, padding=\"same\", activation=\"relu\"),\n", + " tf.keras.layers.MaxPool2D(pool_size=2), # output: 7 × 7 x 32\n", + " tf.keras.layers.Conv2D(64, 3, padding=\"same\", activation=\"relu\"),\n", + " tf.keras.layers.MaxPool2D(pool_size=2), # output: 3 × 3 x 64\n", + " tf.keras.layers.Conv2D(30, 3, padding=\"same\", activation=\"relu\"),\n", + " tf.keras.layers.GlobalAvgPool2D() # output: 30\n", + "])\n", + "conv_decoder = tf.keras.Sequential([\n", + " tf.keras.layers.Dense(3 * 3 * 16),\n", + " tf.keras.layers.Reshape((3, 3, 16)),\n", + " tf.keras.layers.Conv2DTranspose(32, 3, strides=2, activation=\"relu\"),\n", + " tf.keras.layers.Conv2DTranspose(16, 3, strides=2, padding=\"same\",\n", + " activation=\"relu\"),\n", + " tf.keras.layers.Conv2DTranspose(1, 3, strides=2, padding=\"same\"),\n", + " tf.keras.layers.Reshape([28, 28])\n", + "])\n", + "conv_ae = tf.keras.Sequential([conv_encoder, conv_decoder])" + ] + }, + { + "cell_type": "markdown", + "id": "703c4f0c-d59b-4f08-b668-3747dddc644f", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "subslide" + }, + "tags": [] + }, + "source": [ + "### Compile and train model" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "id": "ab0a41ee-f6d1-4a69-bb82-d9bcbac36f36", + "metadata": { + "editable": true, + "execution": { + "iopub.execute_input": "2025-03-07T05:36:29.199674Z", + "iopub.status.busy": "2025-03-07T05:36:29.199500Z", + "iopub.status.idle": "2025-03-07T05:38:53.113005Z", + "shell.execute_reply": "2025-03-07T05:38:53.112441Z" + }, + "id": "qom8ZHdgyLhF", + "outputId": "45b2544f-0812-4fc7-a4e5-d8df9f193f5f", + "scrolled": true, + "slideshow": { + "slide_type": "" + }, + "tags": [ + "hide-output" + ] + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Epoch 1/5\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\r", + " 1/1719 [..............................] - ETA: 55:34 - loss: 0.2173" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + 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"slide_type": "subslide" + }, + "tags": [] + }, + "source": [ + "### Inspect reconstructions" + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "id": "94441e53-aa59-47a2-a2d9-5d84e8a4267c", + "metadata": { + "editable": true, + "execution": { + "iopub.execute_input": "2025-03-07T05:38:53.115011Z", + "iopub.status.busy": "2025-03-07T05:38:53.114838Z", + "iopub.status.idle": "2025-03-07T05:38:53.122527Z", + "shell.execute_reply": "2025-03-07T05:38:53.122106Z" + }, + "id": "Pucj7MI3yLhI", + "outputId": "d9a4289a-fde7-4e3b-c968-72421ddbfe6d", + "slideshow": { + "slide_type": "skip" + }, + "tags": [ + "hide-output" + ] + }, + "outputs": [], + "source": [ + "tf.random.set_seed(42)" + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "id": "c1a3c69f-67bb-499b-8135-de5205c6fd75", + "metadata": { + "editable": true, + "execution": { + "iopub.execute_input": "2025-03-07T05:38:53.124403Z", + "iopub.status.busy": "2025-03-07T05:38:53.124213Z", + "iopub.status.idle": "2025-03-07T05:38:53.405760Z", + "shell.execute_reply": "2025-03-07T05:38:53.405144Z" + }, + "id": "Pucj7MI3yLhI", + "outputId": "d9a4289a-fde7-4e3b-c968-72421ddbfe6d", + "slideshow": { + "slide_type": "" + }, + "tags": [ + "hide-output" + ] + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\r", + "1/1 [==============================] - ETA: 0s" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\r", + "1/1 [==============================] - 0s 103ms/step\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "dropout = tf.keras.layers.Dropout(0.5)\n", + "plot_reconstructions(conv_ae, dropout(X_valid, training=True))" + ] + }, + { + "cell_type": "markdown", + "id": "3999816d-4f53-47bb-a470-0e8429ce43f2", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "slide" + }, + "tags": [] + }, + "source": [ + "## Variational autoencoders (VAEs)" + ] + }, + { + "cell_type": "markdown", + "id": "fb2cb63a-1a27-49f6-9725-5d9e8f11bfdc", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "subslide" + }, + "tags": [] + }, + "source": [ + "### Generative AI\n", + "\n", + "Variational autoencoders (VAEs) are a type of generative AI model, where we can create synthetic generated data." + ] + }, + { + "cell_type": "markdown", + "id": "7bc0de36-63e4-44be-beb8-030603115942", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "" + }, + "tags": [] + }, + "source": [ + "These people do not exist!" + ] + }, + { + "cell_type": "markdown", + "id": "9649363f-22e0-4172-bac5-a49f4e74bac1", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "" + }, + "tags": [] + }, + "source": [ + "\"Drawing\"\n", + "\n", + "[[Source](https://medium.com/towards-data-science/how-to-train-stylegan-to-generate-realistic-faces-d4afca48e705)]" + ] + }, + { + "cell_type": "markdown", + "id": "bd22c7aa-93c8-4e4e-b1a2-db7ede8a1308", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "subslide" + }, + "tags": [] + }, + "source": [ + "#### Types of generative AI models\n", + "\n", + "\"Drawing\"\n", + "\n", + "We will just focus on VAEs." + ] + }, + { + "cell_type": "markdown", + "id": "cc84f6c1-a86a-4144-b137-1c4d8c6f1a50", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "subslide" + }, + "tags": [] + }, + "source": [ + "### VAE approach\n", + "\n", + "Variational autoencoders (VAEs) were introduced by [Kingma & Welling (2013)](https://arxiv.org/abs/1312.6114)." + ] + }, + { + "cell_type": "markdown", + "id": "cf2ae740-51c4-402b-a5e9-2a3705be3923", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "" + }, + "tags": [] + }, + "source": [ + "They are probabilistic autoencoders, meaning that their outputs are partly determined by chance.\n", + "\n", + "Most importantly, they are generative autoencoders, meaning that they can generate new instances that look like they were sampled from the training set.\n" + ] + }, + { + "cell_type": "markdown", + "id": "c48f9e27-c271-49fb-abe0-9f96b011f7b0", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "subslide" + }, + "tags": [] + }, + "source": [ + "The encoder produces a mean coding μ and a standard deviation σ. \n", + "\n", + "The actual coding is then sampled randomly from a Gaussian distribution with mean μ and standard deviation σ.\n", + "\n", + "Then the decoder decodes the sampling coding in the usual manner.\n", + "\n", + "\"Drawing\"\n" + ] + }, + { + "cell_type": "markdown", + "id": "8dd26ce0-578b-4544-9767-ae1de62b4bae", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "subslide" + }, + "tags": [] + }, + "source": [ + "### Latent space and generating example instances\n", + "\n", + "Diagram shows a training instance going through the autoencoder.\n", + "\n", + "During training, the cost function (discussed below) pushes the codings to gradually migrate within the coding space (also called the latent space) to occupy a roughly (hyper) spherical region that looks like a cloud of Gaussian points.\n", + "\n", + "Thus, can very easily generate a new instance: just sample a random coding from the Gaussian distribution and decode.\n", + "\n", + "\"Drawing\"" + ] + }, + { + "cell_type": "markdown", + "id": "f0b7fd8e-3674-4b10-8703-c29a6191a919", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "subslide" + }, + "tags": [] + }, + "source": [ + "### Reparameterisation trick\n", + "\n", + "Cannot differentiate through a stochastic node.\n", + "\n", + "Based on the reparameterisation trick to inject stochastic Gaussian noise.\n", + "\n", + "\"Drawing\"\n", + "\n", + "[Credit: Kingma's NIPS 2015 workshop talk]" + ] + }, + { + "cell_type": "markdown", + "id": "2f041f45-c4f6-44f0-b8e5-600b784b8fcc", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "subslide" + }, + "tags": [] + }, + "source": [ + "### Loss function" + ] + }, + { + "cell_type": "markdown", + "id": "90797eca-b387-4049-adb7-aa3a4756f618", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "" + }, + "tags": [] + }, + "source": [ + "Two components to the loss:\n", + "\n", + "1. *Reconstruction loss* that pushes autoencoder to reproduce its inputs, e.g. mean squared error (MSE).\n", + "2. *Latent loss* component that pushes autoencoder to have codings that look as through they were sampled from a Guassian: hence based on *Kullback-Leibler (KL) divergence* between target Gaussian and actual distribution of codings." + ] + }, + { + "cell_type": "markdown", + "id": "94940489-6143-491a-bcbe-39e2490ecd56", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "subslide" + }, + "tags": [] + }, + "source": [ + "#### Kullback-Leibler (KL) divergence\n", + "\n", + "Kullback-Leibler (KL) divergence is a measure of distance (divergence) between two probability distributions, $P$ and $Q$.\n", + "\n", + "Defined by\n", + "\n", + "$$\n", + "D_{KL}(P, Q) = \\sum_i P_i \\log \\left(\\frac{P_i}{Q_i}\\right) .\n", + "$$\n", + "\n", + "One interpretation is that the KL divergence of $P$ from $Q$ is the \"expected excess surprise\" from using $Q$ as a model instead of $P$ when the actual distribution is $P$." + ] + }, + { + "cell_type": "markdown", + "id": "5af0e997-887f-4bfb-a2a2-4a66c8fadded", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "subslide" + }, + "tags": [] + }, + "source": [ + "#### Latent loss\n", + "\n", + "For a VAE, the latent loss simplifies to\n", + "\n", + "$$\n", + "\\mathcal{L} = -\\frac{1}{2} \\sum_{i=1}^n \\left[1 + \\log(\\sigma_i^2)-\\sigma_i^2 - \\mu_i^2 \\right],\n", + "$$\n", + "\n", + "where $n$ is the number of components of the latent code (i.e. the dimensionality of the latent space), and $\\mu_i$ and $\\sigma_i$ are the $i$th component of the codings. " + ] + }, + { + "cell_type": "markdown", + "id": "c8d09d78-2e8b-4ccb-8970-ecb54b673e8a", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "fragment" + }, + "tags": [] + }, + "source": [ + "It is common to structure the encoder to output $\\gamma = \\log(\\sigma^2)$, in which case the latent loss is given by\n", + "\n", + "$$\n", + "\\mathcal{L} = -\\frac{1}{2} \\sum_{i=1}^n \\left[1 + \\gamma_i - \\exp(\\gamma_i) - \\mu_i^2 \\right].\n", + "$$" + ] + }, + { + "cell_type": "markdown", + "id": "60ebe997-65c7-4231-b8a6-83da85c00b3c", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "subslide" + }, + "tags": [] + }, + "source": [ + "### Example VAE\n", + "\n", + "Let's build and train a VAE for fashion MNIST." + ] + }, + { + "cell_type": "markdown", + "id": "e5297150-fbae-457a-95a3-834e4d32195c", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "subslide" + }, + "tags": [] + }, + "source": [ + "#### Sampling" + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "id": "319f8171-660c-408c-837c-1cc8f2fd422d", + "metadata": { + "editable": true, + "execution": { + "iopub.execute_input": "2025-03-07T05:38:53.408277Z", + "iopub.status.busy": "2025-03-07T05:38:53.408102Z", + "iopub.status.idle": "2025-03-07T05:38:53.411553Z", + "shell.execute_reply": "2025-03-07T05:38:53.410958Z" + }, + "id": "64ji8G6eyLhL", + "slideshow": { + "slide_type": "" + }, + "tags": [] + }, + "outputs": [], + "source": [ + "class Sampling(tf.keras.layers.Layer):\n", + " def call(self, inputs):\n", + " mean, log_var = inputs\n", + " return tf.random.normal(tf.shape(log_var)) * tf.exp(log_var / 2) + mean " + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "id": "a7b40506-c7bb-4e69-aacd-ab29935f8b03", + "metadata": { + "editable": true, + "execution": { + "iopub.execute_input": "2025-03-07T05:38:53.413216Z", + "iopub.status.busy": "2025-03-07T05:38:53.413052Z", + "iopub.status.idle": "2025-03-07T05:38:53.417993Z", + "shell.execute_reply": "2025-03-07T05:38:53.417423Z" + }, + "slideshow": { + "slide_type": "skip" + }, + "tags": [] + }, + "outputs": [], + "source": [ + "tf.random.set_seed(42) # extra code – ensures reproducibility on CPU" + ] + }, + { + "cell_type": "markdown", + "id": "b610a183-4558-4c8b-afd8-6daa4e2290c5", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "subslide" + }, + "tags": [] + }, + "source": [ + "#### Build model" + ] + }, + { + "cell_type": "code", + "execution_count": 28, + "id": "15943682-5f73-4b85-9582-99b158b27c43", + "metadata": { + "editable": true, + "execution": { + "iopub.execute_input": "2025-03-07T05:38:53.419811Z", + "iopub.status.busy": "2025-03-07T05:38:53.419647Z", + "iopub.status.idle": "2025-03-07T05:38:53.515010Z", + "shell.execute_reply": "2025-03-07T05:38:53.514372Z" + }, + "slideshow": { + "slide_type": "" + }, + "tags": [] + }, + "outputs": [], + "source": [ + "codings_size = 10\n", + "\n", + "inputs = tf.keras.layers.Input(shape=[28, 28])\n", + "x = tf.keras.layers.Reshape([28, 28, 1])(inputs)\n", + "x = tf.keras.layers.Conv2D(16, 3, padding=\"same\", activation=\"relu\")(x)\n", + "x = tf.keras.layers.MaxPool2D(pool_size=2)(x) # output: 14 × 14 x 16\n", + "x = tf.keras.layers.Conv2D(32, 3, padding=\"same\", activation=\"relu\")(x)\n", + "x = tf.keras.layers.MaxPool2D(pool_size=2)(x) # output: 7 × 7 x 32\n", + "x = tf.keras.layers.Conv2D(64, 3, padding=\"same\", activation=\"relu\")(x)\n", + "x = tf.keras.layers.MaxPool2D(pool_size=2)(x) # output: 3 × 3 x 64\n", + "x = tf.keras.layers.Conv2D(30, 3, padding=\"same\", activation=\"relu\")(x)\n", + "Z = tf.keras.layers.GlobalAvgPool2D()(x) # output: 30\n", + "\n", + "codings_mean = tf.keras.layers.Dense(codings_size)(Z) # μ\n", + "codings_log_var = tf.keras.layers.Dense(codings_size)(Z) # γ\n", + "\n", + "codings = Sampling()([codings_mean, codings_log_var])\n", + "variational_encoder = tf.keras.Model(\n", + " inputs=[inputs], outputs=[codings_mean, codings_log_var, codings])" + ] + }, + { + "cell_type": "code", + "execution_count": 29, + "id": "18019f43-d050-447a-a022-6ede4b7a5f53", + "metadata": { + "editable": true, + "execution": { + "iopub.execute_input": "2025-03-07T05:38:53.517037Z", + "iopub.status.busy": "2025-03-07T05:38:53.516863Z", + "iopub.status.idle": "2025-03-07T05:38:53.569182Z", + "shell.execute_reply": "2025-03-07T05:38:53.568600Z" + }, + "slideshow": { + "slide_type": "" + }, + "tags": [] + }, + "outputs": [], + "source": [ + "decoder_inputs = tf.keras.layers.Input(shape=[codings_size])\n", + "\n", + "x = tf.keras.layers.Dense(3 * 3 * 16)(decoder_inputs)\n", + "x = tf.keras.layers.Reshape((3, 3, 16))(x)\n", + "x = tf.keras.layers.Conv2DTranspose(32, 3, strides=2, activation=\"relu\")(x)\n", + "x = tf.keras.layers.Conv2DTranspose(16, 3, strides=2, padding=\"same\",\n", + " activation=\"relu\")(x)\n", + "x = tf.keras.layers.Conv2DTranspose(1, 3, strides=2, padding=\"same\")(x)\n", + "outputs = tf.keras.layers.Reshape([28, 28])(x)\n", + "variational_decoder = tf.keras.Model(inputs=[decoder_inputs], outputs=[outputs])" + ] + }, + { + "cell_type": "code", + "execution_count": 30, + "id": "dc252d76-f1f3-4d9f-8876-d975544264d1", + "metadata": { + "editable": true, + "execution": { + "iopub.execute_input": "2025-03-07T05:38:53.571119Z", + "iopub.status.busy": "2025-03-07T05:38:53.570947Z", + "iopub.status.idle": "2025-03-07T05:38:53.625715Z", + "shell.execute_reply": "2025-03-07T05:38:53.625122Z" + }, + "slideshow": { + "slide_type": "" + }, + "tags": [] + }, + "outputs": [], + "source": [ + "_, _, codings = variational_encoder(inputs)\n", + "reconstructions = variational_decoder(codings)\n", + "variational_ae = tf.keras.Model(inputs=[inputs], outputs=[reconstructions])" + ] + }, + { + "cell_type": "markdown", + "id": "e06c5771-8fa5-4094-95f0-bdcab036f4da", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "subslide" + }, + "tags": [] + }, + "source": [ + "#### Compile and train model" + ] + }, + { + "cell_type": "markdown", + "id": "1f5eaa02-f54f-40fd-8e68-d01645ed06ce", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "" + }, + "tags": [] + }, + "source": [ + "Define latent loss, with encoder output $\\gamma = \\log(\\sigma^2)$, so that the latent loss is given by\n", + "\n", + "$$\n", + "\\mathcal{L} = -\\frac{1}{2} \\sum_{i=1}^n \\left[1 + \\gamma_i - \\exp(\\gamma_i) - \\mu_i^2 \\right].\n", + "$$" + ] + }, + { + "cell_type": "code", + "execution_count": 31, + "id": "6eefcd2c-d4fa-468a-9dd8-7e5c10e2ff23", + "metadata": { + "editable": true, + "execution": { + "iopub.execute_input": "2025-03-07T05:38:53.627583Z", + "iopub.status.busy": "2025-03-07T05:38:53.627415Z", + "iopub.status.idle": "2025-03-07T05:38:53.651670Z", + "shell.execute_reply": "2025-03-07T05:38:53.651118Z" + }, + "slideshow": { + "slide_type": "" + }, + "tags": [] + }, + "outputs": [], + "source": [ + "latent_loss = -0.5 * tf.reduce_sum(\n", + " 1 + codings_log_var - tf.exp(codings_log_var) - tf.square(codings_mean),\n", + " axis=-1)\n", + "variational_ae.add_loss(tf.reduce_mean(latent_loss) / 784.)" + ] + }, + { + "cell_type": "markdown", + "id": "f161e055-0cc7-46cd-bb53-08af2d7fcc41", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "" + }, + "tags": [] + }, + "source": [ + "Total loss is additional of latent loss and reconstruction loss." + ] + }, + { + "cell_type": "code", + "execution_count": 32, + "id": "56fbabba-76ba-4a88-a2c3-5ec1371440f2", + "metadata": { + "editable": true, + "execution": { + "iopub.execute_input": "2025-03-07T05:38:53.653530Z", + "iopub.status.busy": "2025-03-07T05:38:53.653339Z", + "iopub.status.idle": "2025-03-07T05:38:53.663051Z", + "shell.execute_reply": "2025-03-07T05:38:53.662498Z" + }, + "id": "YXUKW_UPyLhL", + "outputId": "6db5b948-1b3d-419b-e810-08512fa65369", + "slideshow": { + "slide_type": "" + }, + "tags": [ + "hide-output" + ] + }, + "outputs": [], + "source": [ + "variational_ae.compile(loss=\"mse\", optimizer=\"nadam\")" + ] + }, + { + "cell_type": "markdown", + "id": "45cd1ae9-b677-49e9-be2d-316c830590fe", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "subslide" + }, + "tags": [] + }, + "source": [ + "Now, train model." + ] + }, + { + "cell_type": "code", + "execution_count": 33, + "id": "90fe159c-5f53-49d3-ad75-14a9ee4952a1", + "metadata": { + "editable": true, + "execution": { + "iopub.execute_input": "2025-03-07T05:38:53.664832Z", + "iopub.status.busy": "2025-03-07T05:38:53.664669Z", + "iopub.status.idle": "2025-03-07T05:59:45.754351Z", + "shell.execute_reply": "2025-03-07T05:59:45.753769Z" + }, + "id": "YXUKW_UPyLhL", + "outputId": "6db5b948-1b3d-419b-e810-08512fa65369", + "slideshow": { + "slide_type": "" + }, + "tags": [ + "hide-output" + ] + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Epoch 1/30\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + 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[==============================] - 41s 96ms/step - loss: 0.0332 - val_loss: 0.0335\n" + ] + } + ], + "source": [ + "history = variational_ae.fit(X_train, X_train, epochs=30, batch_size=128,\n", + " validation_data=(X_valid, X_valid))" + ] + }, + { + "cell_type": "markdown", + "id": "e4c5fe0c-7e9e-4bc1-985c-336d59fa44f0", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "subslide" + }, + "tags": [] + }, + "source": [ + "#### Inspect recontructions" + ] + }, + { + "cell_type": "code", + "execution_count": 34, + "id": "dfbf4f92-6c87-41fe-b63f-26eb11e9c021", + "metadata": { + "editable": true, + "execution": { + "iopub.execute_input": "2025-03-07T05:59:45.756774Z", + "iopub.status.busy": "2025-03-07T05:59:45.756232Z", + "iopub.status.idle": "2025-03-07T05:59:46.022733Z", + "shell.execute_reply": "2025-03-07T05:59:46.022089Z" + }, + "id": "FDs525puyLhL", + "outputId": "049794c0-4407-49b7-ba65-138f31d5e5dc", + "scrolled": true, + "slideshow": { + "slide_type": "" + }, + "tags": [ + "hide-output" + ] + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "WARNING:tensorflow:5 out of the last 6 calls to .predict_function at 0x7f8e1942a3e0> triggered tf.function retracing. Tracing is expensive and the excessive number of tracings could be due to (1) creating @tf.function repeatedly in a loop, (2) passing tensors with different shapes, (3) passing Python objects instead of tensors. For (1), please define your @tf.function outside of the loop. For (2), @tf.function has reduce_retracing=True option that can avoid unnecessary retracing. For (3), please refer to https://www.tensorflow.org/guide/function#controlling_retracing and https://www.tensorflow.org/api_docs/python/tf/function for more details.\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\r", + "1/1 [==============================] - ETA: 0s" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\b\r", + "1/1 [==============================] - 0s 141ms/step\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plot_reconstructions(variational_ae)\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "efa2419f-d4da-4819-982e-54562ce5c637", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "subslide" + }, + "tags": [] + }, + "source": [ + "#### Inspect latent space" + ] + }, + { + "cell_type": "code", + "execution_count": 35, + "id": "a0c9bbd7-ae20-4f3b-8387-9b04a6db0abe", + "metadata": { + "editable": true, + "execution": { + "iopub.execute_input": "2025-03-07T05:59:46.024681Z", + "iopub.status.busy": "2025-03-07T05:59:46.024507Z", + "iopub.status.idle": "2025-03-07T05:59:57.324255Z", + "shell.execute_reply": "2025-03-07T05:59:57.323735Z" + }, + "slideshow": { + "slide_type": "" + }, + "tags": [] + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "WARNING:tensorflow:6 out of the last 7 calls to .predict_function at 0x7f8e1945e5c0> triggered tf.function retracing. Tracing is expensive and the excessive number of tracings could be due to (1) creating @tf.function repeatedly in a loop, (2) passing tensors with different shapes, (3) passing Python objects instead of tensors. For (1), please define your @tf.function outside of the loop. For (2), @tf.function has reduce_retracing=True option that can avoid unnecessary retracing. For (3), please refer to https://www.tensorflow.org/guide/function#controlling_retracing and https://www.tensorflow.org/api_docs/python/tf/function for more details.\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "def plot_label_clusters(vae, data, labels):\n", + " z_mean, _, _ = vae.predict(data, verbose=0)\n", + " plt.figure(figsize=(12, 10))\n", + " plt.scatter(z_mean[:, 0], z_mean[:, 1], c=labels)\n", + " plt.colorbar()\n", + " plt.xlabel(\"z[0]\")\n", + " plt.ylabel(\"z[1]\")\n", + " plt.show()\n", + "\n", + "plot_label_clusters(variational_encoder, X_train, y_train)" + ] + }, + { + "cell_type": "markdown", + "id": "0a11212d-f300-4b20-a2d9-1d20e878a6c1", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "subslide" + }, + "tags": [] + }, + "source": [ + "#### Generate new images" + ] + }, + { + "cell_type": "code", + "execution_count": 36, + "id": "c5e11b16-81ea-49ea-b3be-44bf3323ea4e", + "metadata": { + "editable": true, + "execution": { + "iopub.execute_input": "2025-03-07T05:59:57.327314Z", + "iopub.status.busy": "2025-03-07T05:59:57.326947Z", + "iopub.status.idle": "2025-03-07T05:59:57.342071Z", + "shell.execute_reply": "2025-03-07T05:59:57.341492Z" + }, + "slideshow": { + "slide_type": "skip" + }, + "tags": [] + }, + "outputs": [], + "source": [ + "tf.random.set_seed(42) # extra code – ensures reproducibility on CPU" + ] + }, + { + "cell_type": "markdown", + "id": "f54b2d88-6367-4bb9-9596-2518ae0c1071", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "" + }, + "tags": [] + }, + "source": [ + "Sample Gaussian codings and decode." + ] + }, + { + "cell_type": "code", + "execution_count": 37, + "id": "32cf9079-29aa-4d74-8573-b363d25b315f", + "metadata": { + "editable": true, + "execution": { + "iopub.execute_input": "2025-03-07T05:59:57.344225Z", + "iopub.status.busy": "2025-03-07T05:59:57.344056Z", + "iopub.status.idle": "2025-03-07T05:59:57.365683Z", + "shell.execute_reply": "2025-03-07T05:59:57.365109Z" + }, + "slideshow": { + "slide_type": "" + }, + "tags": [] + }, + "outputs": [], + "source": [ + "codings = tf.random.normal(shape=[3 * 7, codings_size])\n", + "images = variational_decoder(codings).numpy()" + ] + }, + { + "cell_type": "markdown", + "id": "0f688aea-a33b-430c-af81-d415cab5a318", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "" + }, + "tags": [] + }, + "source": [ + "Now let's plot these images:" + ] + }, + { + "cell_type": "code", + "execution_count": 38, + "id": "1fb5bcfa-50b9-4e41-b4cc-94531a7070cd", + "metadata": { + "editable": true, + "execution": { + "iopub.execute_input": "2025-03-07T05:59:57.367503Z", + "iopub.status.busy": "2025-03-07T05:59:57.367317Z", + "iopub.status.idle": "2025-03-07T05:59:57.590575Z", + "shell.execute_reply": "2025-03-07T05:59:57.589929Z" + }, + "id": "gzwLpDIDyLhM", + "slideshow": { + "slide_type": "" + }, + "tags": [] + }, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "def plot_multiple_images(images, n_cols=None):\n", + " n_cols = n_cols or len(images)\n", + " n_rows = (len(images) - 1) // n_cols + 1\n", + " if images.shape[-1] == 1:\n", + " images = images.squeeze(axis=-1)\n", + " plt.figure(figsize=(n_cols, n_rows))\n", + " for index, image in enumerate(images):\n", + " plt.subplot(n_rows, n_cols, index + 1)\n", + " plt.imshow(image, cmap=\"binary\")\n", + " plt.axis(\"off\")\n", + "\n", + "plot_multiple_images(images, 7)" + ] + }, + { + "cell_type": "markdown", + "id": "7f4e0605-1296-40ea-a56d-a3afa70e011f", + "metadata": { + "editable": true, + "slideshow": { + "slide_type": "subslide" + }, + "tags": [] + }, + "source": [ + "#### Interpolate between images in latent space" + ] + }, + { + "cell_type": "markdown", + "id": "31c75d9f-11c5-4c0a-907c-ada4d8ba5565", + "metadata": { + "editable": true, + "id": "-JLZ_HWqyLhM", + "slideshow": { + "slide_type": "" + }, + "tags": [] + }, + "source": [ + "Now let's perform semantic interpolation between 2 images:" + ] + }, + { + "cell_type": "code", + "execution_count": 39, + "id": "d7088a4a-e2c0-4cc3-865c-80fed1928dba", + "metadata": { + "editable": true, + "execution": { + "iopub.execute_input": "2025-03-07T05:59:57.592588Z", + "iopub.status.busy": "2025-03-07T05:59:57.592416Z", + "iopub.status.idle": "2025-03-07T05:59:57.613196Z", + "shell.execute_reply": "2025-03-07T05:59:57.612619Z" + }, + "id": "GsVXES9byLhM", + "outputId": "eca5be95-9eee-47d1-e9ce-50756e24d235", + "slideshow": { + "slide_type": "" + }, + "tags": [] + }, + "outputs": [], + "source": [ + "tf.random.set_seed(42)\n", + "\n", + "codings = np.zeros([7, codings_size])\n", + "codings[:, 1] = np.linspace(-2, 2, 7) \n", + "images = variational_decoder(codings).numpy()" + ] + }, + { + "cell_type": "code", + "execution_count": 40, + "id": "d170a44e-437c-41fe-8ace-3e811737aba3", + "metadata": { + "editable": true, + "execution": { + "iopub.execute_input": "2025-03-07T05:59:57.614954Z", + "iopub.status.busy": "2025-03-07T05:59:57.614787Z", + "iopub.status.idle": "2025-03-07T05:59:57.695412Z", + "shell.execute_reply": "2025-03-07T05:59:57.694787Z" + }, + "scrolled": true, + "slideshow": { + "slide_type": "" + }, + "tags": [] + }, + "outputs": [ + { + "data": { + "image/png": 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", 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