1209 lines
464 KiB
Plaintext
1209 lines
464 KiB
Plaintext
{
|
|
"cells": [
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {
|
|
"slideshow": {
|
|
"slide_type": "slide"
|
|
}
|
|
},
|
|
"source": [
|
|
"# Lecture 8: Logistic regression"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {
|
|
"slideshow": {
|
|
"slide_type": "skip"
|
|
}
|
|
},
|
|
"source": [
|
|
"\n",
|
|
"[Run in colab](https://colab.research.google.com/drive/1NSiPlX-azox9No8o7PgcF4o70bwMUH3A )"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 1,
|
|
"metadata": {
|
|
"execution": {
|
|
"iopub.execute_input": "2024-01-10T00:19:56.779513Z",
|
|
"iopub.status.busy": "2024-01-10T00:19:56.779124Z",
|
|
"iopub.status.idle": "2024-01-10T00:19:56.787591Z",
|
|
"shell.execute_reply": "2024-01-10T00:19:56.787055Z"
|
|
},
|
|
"slideshow": {
|
|
"slide_type": "skip"
|
|
}
|
|
},
|
|
"outputs": [
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"Last executed: 2024-01-10 00:19:56\n"
|
|
]
|
|
}
|
|
],
|
|
"source": [
|
|
"import datetime\n",
|
|
"now = datetime.datetime.now()\n",
|
|
"print(\"Last executed: \" + now.strftime(\"%Y-%m-%d %H:%M:%S\"))"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {
|
|
"slideshow": {
|
|
"slide_type": "slide"
|
|
}
|
|
},
|
|
"source": [
|
|
"## Estimating probabilities\n",
|
|
"\n",
|
|
"Estimate the probability of an instance belonging to a particular class.\n",
|
|
"\n",
|
|
"Can adapt linear regression algorithm for this purpose to perform *logistic regression*."
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {
|
|
"slideshow": {
|
|
"slide_type": "subslide"
|
|
}
|
|
},
|
|
"source": [
|
|
"### Sigmoid function\n",
|
|
"\n",
|
|
"Consider linear weighted sum of inputs $\\theta^{\\rm T} x$ again but then apply sigmoid function $\\sigma$:\n",
|
|
"\n",
|
|
"$$\\hat{p} = h_\\theta(x) = \\sigma(\\theta^{\\rm T} x), $$\n",
|
|
"\n",
|
|
"where\n",
|
|
"\n",
|
|
"$$\\sigma(t) = \\frac{1}{1+\\exp{(-t)}}. $$"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {
|
|
"slideshow": {
|
|
"slide_type": "subslide"
|
|
},
|
|
"tags": [
|
|
"inclass_exercise"
|
|
]
|
|
},
|
|
"source": [
|
|
"#### Plot the sigmoid function"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 2,
|
|
"metadata": {
|
|
"execution": {
|
|
"iopub.execute_input": "2024-01-10T00:19:56.827687Z",
|
|
"iopub.status.busy": "2024-01-10T00:19:56.827194Z",
|
|
"iopub.status.idle": "2024-01-10T00:19:57.238220Z",
|
|
"shell.execute_reply": "2024-01-10T00:19:57.237523Z"
|
|
},
|
|
"tags": [
|
|
"solution",
|
|
"inclass_exercise"
|
|
]
|
|
},
|
|
"outputs": [],
|
|
"source": [
|
|
"import numpy as np\n",
|
|
"%matplotlib inline\n",
|
|
"import matplotlib\n",
|
|
"import matplotlib.pyplot as plt"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 3,
|
|
"metadata": {
|
|
"execution": {
|
|
"iopub.execute_input": "2024-01-10T00:19:57.241818Z",
|
|
"iopub.status.busy": "2024-01-10T00:19:57.241170Z",
|
|
"iopub.status.idle": "2024-01-10T00:19:57.489933Z",
|
|
"shell.execute_reply": "2024-01-10T00:19:57.489276Z"
|
|
},
|
|
"tags": [
|
|
"solution",
|
|
"inclass_exercise"
|
|
]
|
|
},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"image/png": "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",
|
|
"text/plain": [
|
|
"<Figure size 800x400 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"t = np.linspace(-10, 10, 100)\n",
|
|
"sig = 1 / (1 + np.exp(-t))\n",
|
|
"plt.figure(figsize=(8, 4))\n",
|
|
"plt.plot([-10, 10], [0, 0], \"k-\")\n",
|
|
"plt.plot([-10, 10], [0.5, 0.5], \"k:\")\n",
|
|
"plt.plot([-10, 10], [1, 1], \"k:\")\n",
|
|
"plt.plot([0, 0], [-1.1, 1.1], \"k-\")\n",
|
|
"plt.plot(t, sig, \"b-\", linewidth=2, label=r\"$\\sigma(t) = \\frac{1}{1 + e^{-t}}$\")\n",
|
|
"plt.xlabel(\"t\")\n",
|
|
"plt.legend(loc=\"upper left\", fontsize=20)\n",
|
|
"plt.axis([-10, 10, -0.1, 1.1]);"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {
|
|
"slideshow": {
|
|
"slide_type": "subslide"
|
|
}
|
|
},
|
|
"source": [
|
|
"### Predictions\n",
|
|
"\n",
|
|
"Can then make class predictions depending on whether the predicted probability $\\hat{p}$ is greater than 0.5, i.e.\n",
|
|
"\n",
|
|
"$$ \\hat{y} = \\biggl \\{\n",
|
|
"\\begin{split}\n",
|
|
"0,\\ \\text{if}\\ \\hat{p} < 0.5\\\\\n",
|
|
"1,\\ \\text{if}\\ \\hat{p} \\geq 0.5\n",
|
|
"\\end{split}\n",
|
|
",\n",
|
|
"$$\n",
|
|
"\n",
|
|
"where we recall \n",
|
|
"$\\hat{p} = h_\\theta(x) = \\sigma(\\theta^{\\rm T} x) \\quad \\text{and} \\quad \\sigma(t) = \\frac{1}{1+\\exp{(-t)}}.$"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {
|
|
"slideshow": {
|
|
"slide_type": "fragment"
|
|
}
|
|
},
|
|
"source": [
|
|
"Note that $\\sigma(t) < 0.5$ when $t<0$ and $\\sigma(t) \\geq 0.5$ when $t \\geq 0$. \n",
|
|
"\n",
|
|
"That is, logistic regression predicts model 1 when $\\theta^{\\rm T} x$ is positive, and model 0 when it is negative. \n",
|
|
"\n",
|
|
"The decision boundary is defined by $\\theta^{\\rm T} x=0$."
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {
|
|
"slideshow": {
|
|
"slide_type": "slide"
|
|
}
|
|
},
|
|
"source": [
|
|
"## Cost functions"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"Consider the cost function:\n",
|
|
"\n",
|
|
"$$ C(\\theta) = \\biggl \\{\n",
|
|
"\\begin{split}\n",
|
|
"-\\log(\\hat{p}),\\ \\text{if}\\ y=1\\\\\n",
|
|
"-\\log(1 - \\hat{p}),\\ \\text{if}\\ y=0\n",
|
|
"\\end{split}\n",
|
|
".\n",
|
|
"$$"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {
|
|
"slideshow": {
|
|
"slide_type": "subslide"
|
|
}
|
|
},
|
|
"source": [
|
|
"### Exercise: Plot the cost function for $y=1$ as a function of $\\hat{p}$."
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {
|
|
"tags": [
|
|
"inclass_exercise"
|
|
]
|
|
},
|
|
"source": [
|
|
"Consider the cost function:\n",
|
|
"\n",
|
|
"$$ C(\\theta) = \\biggl \\{\n",
|
|
"\\begin{split}\n",
|
|
"-\\log(\\hat{p}),\\ \\text{if}\\ y=1\\\\\n",
|
|
"-\\log(1 - \\hat{p}),\\ \\text{if}\\ y=0\n",
|
|
"\\end{split}\n",
|
|
".\n",
|
|
"$$"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 4,
|
|
"metadata": {
|
|
"execution": {
|
|
"iopub.execute_input": "2024-01-10T00:19:57.493545Z",
|
|
"iopub.status.busy": "2024-01-10T00:19:57.492986Z",
|
|
"iopub.status.idle": "2024-01-10T00:19:57.715480Z",
|
|
"shell.execute_reply": "2024-01-10T00:19:57.714807Z"
|
|
},
|
|
"tags": [
|
|
"solution",
|
|
"inclass_exercise"
|
|
]
|
|
},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"image/png": "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",
|
|
"text/plain": [
|
|
"<Figure size 800x400 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"ph = np.linspace(0.01, 0.99, 100)\n",
|
|
"cost_one = -np.log(ph)\n",
|
|
"plt.figure(figsize=(8, 4))\n",
|
|
"plt.plot([0, 0], [-1.1, 1.1], \"k-\")\n",
|
|
"plt.plot(ph, cost_one, \"b-\", linewidth=2, label=r\"$-\\log{(\\hat{p})}$\")\n",
|
|
"plt.xlabel(\"$\\hat{p}$\")\n",
|
|
"plt.legend(loc=\"upper right\", fontsize=20)\n",
|
|
"plt.axis([0, 1, 0, 4]);\n",
|
|
"plt.title('Cost for $y=1$');"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {
|
|
"slideshow": {
|
|
"slide_type": "subslide"
|
|
},
|
|
"tags": [
|
|
"inclass_exercise"
|
|
]
|
|
},
|
|
"source": [
|
|
"What can you say intuitively about the cost function at the edges of the domain?"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {
|
|
"slideshow": {
|
|
"slide_type": "fragment"
|
|
},
|
|
"tags": [
|
|
"solution",
|
|
"inclass_exercise"
|
|
]
|
|
},
|
|
"source": [
|
|
"- For $\\hat{p}=1$, $C(\\hat{p}) = 0$.\n",
|
|
"- For $\\hat{p}=0$, $C(\\hat{p}) \\rightarrow \\infty$."
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {
|
|
"slideshow": {
|
|
"slide_type": "subslide"
|
|
},
|
|
"tags": [
|
|
"inclass_exercise"
|
|
]
|
|
},
|
|
"source": [
|
|
"### Exercise: Plot the cost function for $y=0$ as a function of $\\hat{p}$."
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 5,
|
|
"metadata": {
|
|
"execution": {
|
|
"iopub.execute_input": "2024-01-10T00:19:57.718928Z",
|
|
"iopub.status.busy": "2024-01-10T00:19:57.718470Z",
|
|
"iopub.status.idle": "2024-01-10T00:19:57.934523Z",
|
|
"shell.execute_reply": "2024-01-10T00:19:57.933872Z"
|
|
},
|
|
"tags": [
|
|
"inclass_exercise",
|
|
"solution"
|
|
]
|
|
},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAqoAAAGRCAYAAACt0JGZAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjcuNCwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy8WgzjOAAAACXBIWXMAAA9hAAAPYQGoP6dpAABSEUlEQVR4nO3deVxVdf7H8TegXFwANWVRwX03NXe0ckkzdZyspkyd0BbLwhnNXzXZpmZFk1k2mlultjlMWurkUpmmZlq50bg7Ki6Z4BKCooLA+f1x5l5AFrlwuecCr+fjcR6cc+45536uN+3N95zv9+tlGIYhAAAAwMN4W10AAAAAkBeCKgAAADwSQRUAAAAeiaAKAAAAj0RQBQAAgEciqAIAAMAjEVQBAADgkQiqAAAA8EgEVQAAAHgkgioAAAA8EkEVAAAAHomgCgAutHXrVnXr1k1VqlSRl5eXYmNjrS4JAEotgiqAUuPw4cN67LHH1LBhQ/n5+SkgIEDdu3fXO++8o8uXL7v8/TZv3qxJkybp/PnzhTr+6tWruvfee/X777/r7bff1scff6x69eq5vC5PkJqaqr/97W+qXbu2KlWqpC5dumjNmjVWlwWgjKlgdQEAUBgrV67UvffeK5vNpsjISLVu3VppaWnatGmTnn76ae3Zs0fz5s1z6Xtu3rxZkydP1siRI1WtWrXrHn/48GEdO3ZM7733nh555BGX1uJpRo4cqSVLlmjcuHFq0qSJFi5cqAEDBui7777TzTffbHV5AMoIgioAjxcXF6f7779f9erV07p16xQaGup4LSoqSocOHdLKlSstrNB0+vRpSSpUqC2slJQUValSxWXXc4Wff/5ZMTExmjp1qp566ilJcvzy8Mwzz2jz5s0WVwigrODWPwCP98Ybb+jixYv64IMPcoRUu8aNG2vs2LGO7Z07d6p///4KCAhQ1apVddttt+nHH3/Mcc6FCxc0btw41a9fXzabTUFBQerbt6927NghSZo0aZKefvppSVKDBg3k5eUlLy8vHT16NM8aR44cqR49ekiS7r33Xnl5ealnz55O1TRp0iR5eXlp7969GjZsmKpXr15g6+SAAQNUv379XPsNw1D79u11yy235HtucSxZskQ+Pj569NFHHfv8/Pz08MMPa8uWLTpx4kSJvC+A8ocWVQAe78svv1TDhg3VrVu36x67Z88e3XLLLQoICNAzzzyjihUrau7cuerZs6c2bNigLl26SJJGjx6tJUuWaMyYMWrZsqXOnTunTZs2ad++fWrfvr3uvvtuHTx4UP/85z/19ttvq2bNmpKkWrVq5fm+jz32mOrUqaPXXntNf/3rX9WpUycFBwc7VZPdvffeqyZNmui1116TYRj5ftZOnTpp9erVSkxMVPXq1R37Y2JitHPnTm3atCnXOVevXlVSUtJ1/xwlqUaNGvL2zt2esXPnTjVt2lQBAQE59nfu3FmSFBsbq7CwsEK9BwAUyAAAD5aUlGRIMu68885CHT948GDD19fXOHz4sGPfb7/9Zvj7+xu33nqrY19gYKARFRVV4LWmTp1qSDLi4uIK9d7fffedIclYvHhxkWqaOHGiIckYOnRood7v3//+tyHJWLt2rWNfWlqa0ahRI2PQoEEF1liYJb/P3apVK6N379659u/Zs8eQZMyZM6dQ9QPA9dCiCsCjJScnS5L8/f2ve2xGRoa++eYbDR48WA0bNnTsDw0N1bBhw/Tee+8pOTlZAQEBqlatmn766Sf99ttvql27donV70xNdqNHjy7UtTt16iRJ2rFjh3r37i1JmjdvnuLi4rRs2bI8z2nbtm2he+eHhITkuf/y5cuy2Wy59vv5+TleBwBXIKgC8Gj2AHfhwoXrHnvmzBldunRJzZo1y/VaixYtlJmZqRMnTqhVq1Z64403NGLECIWFhalDhw4aMGCAIiMjc4RJV3CmJrsGDRoU6tohISGqU6eOdu7cKcnseDVlyhT9+c9/VuvWrfM8p3r16urTp08RPkmWSpUqKTU1Ndf+K1euOF4HAFegMxUAjxYQEKDatWtr9+7dLr3ufffdpyNHjmjGjBmqXbu2pk6dqlatWmn16tUufZ+icCboderUyRFU33rrLSUmJurll1/O9/i0tDTFx8cXasnIyMjzGqGhoTp16lSu/fZ9JdlCDaB8IagC8Hh/+MMfdPjwYW3ZsqXA42rVqqXKlSvrwIEDuV7bv3+/vL29c3TyCQ0N1RNPPKFly5YpLi5ON9xwg1599VXH615eXsWu3dmanNWpUycdOHBAx48f15tvvqnHH3+8wEkGNm/erNDQ0EIt+fXeb9eunQ4ePOh4LMPup59+crwOAK7ArX8AHu+ZZ57Rp59+qkceeUTr1q1z9Ka3O3z4sFasWKGxY8fq9ttv1/Lly3X06FHH0E0JCQlatGiRbr75ZgUEBCgjI0MXL15UYGCg4xpBQUGqXbt2jlva9vFLCzszVV58fHwKVVNRdezYUZmZmRo2bJgMw9Dzzz9f4PGueEb1T3/6k958803NmzfPMY5qamqqFixYoC5dutDjH4DLEFQBeLxGjRpp0aJFGjJkiFq0aJFjZqrNmzdr8eLFGjlypCTplVde0Zo1a3TzzTfriSeeUIUKFTR37lylpqbqjTfekGQ+71q3bl396U9/Utu2bVW1alV9++232rp1q6ZNm+Z43w4dOkiSnn/+ed1///2qWLGiBg0a5PQA/IWpqag6duwoSfrhhx80adKkfIfPsnPFM6pdunTRvffeqwkTJuj06dNq3LixPvzwQx09elQffPBBsa4NADlYPewAABTWwYMHjVGjRhn169c3fH19DX9/f6N79+7GjBkzjCtXrjiO27Fjh9GvXz+jatWqRuXKlY1evXoZmzdvdryemppqPP3000bbtm0Nf39/o0qVKkbbtm2NWbNm5XrPKVOmGHXq1DG8vb2vO1RVfsNTFaYmw8ganurMmTNO/bnUr1/fqFWrlnHhwgWnziuOy5cvG0899ZQREhJi2Gw2o1OnTsZXX33ltvcHUD54GUYBo0kDADzakSNH1LRpU7311lv661//anU5AOBSBFUAKMWGDBmi7du3a+/evfL19bW6HABwKZ5RBYBS5vz581q9erXWr1+vxYsXa/Xq1YRUAGUSQRUASpm1a9dq2LBhqlu3rubOnat+/fpZXRIAlIhijaP6+uuvy8vLS+PGjSvwuMWLF6t58+by8/PTjTfeqFWrVhXnbQGgXLvnnntkGIZOnDihUaNGWV0OAJSYIgfVrVu3au7cuWrTpk2Bx23evFlDhw7Vww8/rJ07d2rw4MEaPHiwy2eZAQAAQNlSpM5UFy9eVPv27TVr1iy98sorateunaZPn57nsUOGDFFKSopWrFjh2Ne1a1e1a9dOc+bMyfOc1NTUHINuZ2Zm6vfff9cNN9zgkpliAAAA4FqGYejChQuqXbu2vL1dM/lpkZ5RjYqK0sCBA9WnTx+98sorBR67ZcsWjR8/Pse+fv36admyZfmeEx0drcmTJxelNAAAAFjoxIkTqlu3rkuu5XRQjYmJ0Y4dO7R169ZCHR8fH59rusPg4GDFx8fne86ECRNyhNukpCSFh4frxIkTxZpqEAAAANe3cKE0dqy5/vbb0kMPXf+c5ORkhYWFyd/f32V1OBVUT5w4obFjx2rNmjXy8/NzWRHXstlsstlsufYHBAQQVAEAAErYmTNZ602bSs7EL1c+pulUUN2+fbtOnz6t9u3bO/ZlZGRo48aNmjlzplJTU+Xj45PjnJCQECUkJOTYl5CQoJCQkGKUDQAAgJJy4kTWeni4dXU49aTrbbfdpl27dik2NtaxdOzYUcOHD1dsbGyukCpJERERWrt2bY59a9asUURERPEqBwAAQIk4fjxr3cqg6lSLqr+/v1q3bp1jX5UqVXTDDTc49kdGRqpOnTqKjo6WJI0dO1Y9evTQtGnTNHDgQMXExGjbtm2aN2+eiz4CAAAAXMneohoQ4Nxtf1dzzdgB2Rw/flynTp1ybHfr1k2LFi3SvHnz1LZtWy1ZskTLli3LFXgBAABgvYyMrKBqZWuqVMRxVN0tOTlZgYGBSkpKojMVAABACdq/X2rRwly/+27p888Ld15J5DWXt6gCAACg9Nq+PWu9Qwfr6pAIqgAAAMhmx46s9WwDPVmCoAoAAACH7C2qBFUAAAB4hMzMrBbVunWloCBr6yGoAgAAQJJ0+LB04YK5bvXzqZKT46iWdoZhKD09XRkZGVaXAsANfHx8VKFCBZdO5wcAZZkn3faXyklQNQxDiYmJOn/+vFJTU60uB4Ab2Ww2VatWTdWrVyewAsB1ZO9IRYuqmyQkJCgxMVH+/v6qVasWLSxAOWC/g5KUlKSEhASlpaUpJCTE6rIAwKPRoupmSUlJSkxMVGhoqKpVq2Z1OQDczN/fX4mJiYqPj1elSpUUGBhodUkA4JEMI6tFNTTUXKxW5jtTJScnq3LlyoRUoByrXr26KleurOTkZKtLAQCPFRcnnT9vrntCa6pUxoNqZmamUlJSVLVqVatLAWCxqlWr6tKlS8rMzLS6FADwSJ72fKpUxoNqenq6DMOQn5+f1aUAsJifn58yMzOVnp5udSkA4JE87flUqYwHVXvLibd3mf6YAArB/u8ALaoAkDdaVC1CD38A/DsAAPkzjKwW1Vq1pDp1rK3HrlwEVQAAAOTv+HHp3DlzvUMHyVN+tyeoAgAAlHPZb/t7yvOpEkEVAACg3MvekcpTnk+VCKoAAADlnid2pJIIqgAAAOVa9o5UNWpI4eHW1pNdmZ9CFYDnuXjxoqZNmybDMDRq1CjV8ZTupQBQDv32m3T6tLnuSR2pJIIqAAtMnjxZb775piRp7969+uyzzyyuCADKL08c6N+OW/8A3GrPnj2aPn26atasqSZNmmjx4sVas2aN1WUBQLnlqc+nSgRVAG4WFRWl9PR0zZkzRx999JF8fHw0ZswYpaWlWV0aAJRLtKgCgKRPPvlEGzZs0LBhw3TPPfeoa9eueuaZZ3Tw4EFNnTrV6vIAoFyyt6gGBkoNG1pby7UIqigVFi5cKC8vL3l5eeno0aNWl1NkaWlpatKkiby8vLRkyRKry3GrpKQkPf3006pdu7Zmzpzp2D9p0iS1adNGr776ap7fbVRUlLy8vDRixAg3VgsA5UN8vNmZSjJbUz2pI5VEUAXc6p133tGhQ4fUunVr3XPPPbleP336tFasWKGXXnpJ/fv3V82aNR0BfeTIke4v2IUCAwN16tQpnTx5UtWrV3fs9/X11S+//KJLly6pfv36uc7729/+Jl9fX3388cfanv3+FACg2Dz5+VSJXv+A21y4cEF///vfJUkvvPCCvPL4tTU4ONjdZXm88PBwjRgxQu+9955efPFFrVq1yuqSAKDM8OTnUyUnW1Rnz56tNm3aKCAgQAEBAYqIiNDq1avzPT777Vr74ufnV+yigdJo9uzZOnfunMLDw3Xvvfde9/jw8HDdfvvtbqjM8/3f//2fJGn16tW0qgKAC3nq1Kl2TgXVunXr6vXXX9f27du1bds29e7dW3feeaf27NmT7zkBAQE6deqUYzl27FixiwZKm4yMDMdzmUOHDpW3d95/9V566SV9+eWXio+P17FjxzR37lx3lumxmjVrpvb/+1V/xowZFlcDAGWH/da/v7/UuLG1teTFqVv/gwYNyrH96quvavbs2frxxx/VqlWrPM/x8vJSSEhI0SsEyoA1a9boxIkTkqThw4fne9zkyZPdVVKpM3z4cO3YsUOLFy/WjBkz5O/vb3VJAFCqnT4t/e9/TbrpJimfNhRLFbmkjIwMxcTEKCUlRREREfked/HiRdWrV09hYWHXbX21S01NVXJyco4FuJ60tDTNmjVLvXr1Uq1ateTr66uQkBANGDBAn3zyiTIzM697jXPnzumZZ55Rs2bNVKlSJQUHB6tv375aunSppKKPPmCfealJkya68cYbi/T5SqP4+HjHn9f777+v5ORkvfrqq+rWrZtq1qwpX19f1atXT1FRUTptn78vH/bOZ5cuXdLy5cvdUT4AlGlr12atd+liXR0Fcboz1a5duxQREaErV66oatWqWrp0qVq2bJnnsc2aNdP8+fPVpk0bJSUl6c0331S3bt20Z88e1a1bN9/3iI6OpmUJTjl69Kj69++v/fv359ifkJCg1atXa/Xq1Zo7d66WL1+uGjVq5HmNXbt2qW/fvkpISHDsu3Llir799lt9++23evTRRwv8pawg3333nSSpa9euRTq/tPrll18c615eXmratGmOP19JOn78uGbNmqVVq1Zpy5Yt+d6BqVevnkJCQhQfH6/Vq1frz3/+c4nWDgBl3ddfZ63362ddHQVxukW1WbNmio2N1U8//aTHH39cI0aM0N69e/M8NiIiQpGRkWrXrp169OihL774QrVq1bruc3cTJkxQUlKSY7HfMgXycvHiRd12222OkDp48GD9+9//1rZt27R48WL16NFDkrRp0yYNGjRIGRkZua5x/vx53XHHHY4Q9cADD2j16tXatm2bYmJiFBERoXnz5mnOnDlO1/frr786Wl87depUxE9ZOsXGxjrWx48fr4SEBA0ZMsTx/cTExKh169aSzF827J2m8tO5c2dJ0oYNG0qsZgAoDwxD+uYbc71yZenmm62tJ19GMd12223Go48+Wujj//SnPxn333+/U++RlJRkSDKSkpKcOu/y5cvG3r17jcuXLzt1HjzPggULDEmGJCMuLi7Ha0899ZTjtRdeeCHXuZmZmcbw4cMdx8yaNSvXMePGjXO8Pn369Fyvp6enG3feeafjmLzqyM+//vUvxznff/99oc6xi4uLc5w7YsQIp871BEOHDnXUX6FCBWPJkiW5jjl//rxRs2ZNQ5JRsWJFIzk5Od/rTZ482XG9+Ph4p2rh3wMAyPLLL4ZhxlXDGDDANdcsal4rSLEfm83MzFRqamqhjs3IyNCuXbsUGhpa3LcFJJnPM7///vuSpFatWmnSpEm5jvHy8tKsWbN0ww03SFKOWZHs11i4cKEks8Vz7Nixua7h4+OjuXPnFml4tV9//dWxHhQU5PT5pVn2FtVp06blOclBYGCgoqKiJElXr17Ncc61sv/5HTlyxGV1AkB589VXWeueettfcvLW/4QJE7Rx40YdPXpUu3bt0oQJE7R+/XpHL+bIyEhNmDDBcfzLL7+sb775RkeOHNGOHTv05z//WceOHdMjjzzi2k+Bcmv79u06f/68JGnkyJHy8fHJ87iAgADdd999kqS9e/fq1KlTjte2bdvmuEZBzz0GBwerXxH+Np85c8axnn1GprLuypUrOnjwoCTzl4gxY8bke6z99r8knT17Nt/jsj9fHB8f74IqAaB8Kg3Pp0pOdqY6ffq0IiMjderUKQUGBqpNmzb6+uuv1bdvX0lmp4js40MmJiZq1KhRio+PV/Xq1dWhQwdt3rw5385XVurY0ZzvtiwLCZG2bSvZ98hrtiVnLViwoNDThe7evdux3uU6XRa7dOmi2bNnO86zt+xnv0aH64x23LFjR6d7nP/++++OdSuDqru/m127djmeBx49enS+Y8dKOf9cKlWqVKjjUlJSClUHACCnlBRp0yZzvX59qWlTS8spkFNB9YMPPijw9fXr1+fYfvvtt/X22287XZQV4uOlkyetrgLOyh4Cr3dbPXtv8uznJSYmOtZr1apV4DWu93pesj8ucPny5XIz/mf2Hv/XjsF8reytowWNu3z58mXHesWKFYtRHQCUX+vXS2lp5nq/fpIL2jFKjNPDU5VV5WFOAnd8xn379hX7GkV9htkVLYYlIXu4/f333y0Lqu7+buzPmtasWVP16tUr8Ngff/xRkmSz2dS0gF/ts/+CUa1atULXAgDIUlpu+0sEVYeSviVeXjRv3tyt75f9mcWEhIQCQ072Vrvs52W/nXzmzJkCr5H9edPCyh5UExMTrxvaSoq7vxt7i2pwcHCBxxmGoRUrVkiSevToocqVK+d7bPbW7/DwcBdUCQDljz2o+vhIvXtbW8v1eOBkWUDhZe+E89NPPxV47M8//5znedmn/92+fXuB19hWhN9oss9EZe9cVNYZhqH//Oc/ksyZpAqyevVqxzizkZGRBR5r//Oz2Wxq7ImTUgOAh4uLk+z/K4qIkAIDra3negiqKNU6dOjguAX84Ycf5jtN6oULFxzTmLZs2TLHLeyOHTsq8H9/Uz/55JN83yshIUFfZ79fUkgdO3Z0PKe6detWp88vjeLi4hxTH584cUIXL17M87jU1FQ988wzkswW36FDhxZ4Xfuf30033cQzqgBQBKXptr9EUEUpZ7PZHMOd7d69W1OmTMl1jGEYGjNmjGPYo2uHSfLz83O05G3dulXvvPNOrmtkZmbqscce05UrV5yu0dfX1zEiQfZW3bIse0eq9PR0TZs2LdcxqampioyM1J49e+Tj46M5c+YUODJAamqqo5X29ttvd33RAFAOZA+qd9xhXR2FxTOqKPVeeuklffHFFzpy5IgmTZqkXbt26cEHH1RoaKji4uI0c+ZMx4gUERERevTRR3NdY9KkSVq8eLHi4+M1btw4bd++XcOHD1etWrV06NAhvfPOO9q8ebM6d+7sCJvOdN668847tWHDBv3888+6cOFCvh2qNm3apEOHDjm2s48peujQIcfEBHaFHSrK3ewdqWrUqKFq1app8uTJio+P1+DBg1WtWjXt3LlT//jHPxwdvF5//XXHVLf52bhxo65evSpJuuuuu0q0fgAoi65eldauNddr1pTat7e2nkJx2RxXJYgpVFHQFKqGYU412rx58xxTnF67dO/e3Th37ly+7xEbG2vUqlUr3/NHjhxpfPDBB0WawvPs2bOGzWYzJBkffvhhvseNGDGiwM9w7eKp7NPN9urVy/jmm28cn/3apWLFisa0adMKdc2RI0cakoxWrVoVqSb+PQBQ3m3cmDVt6tChrr++R06hCniC+vXr65dfftHMmTPVo0cP3XDDDapYsaKCg4N1xx136OOPP9bGjRtz9Pa/Vtu2bbV371793//9n5o0aSKbzaaaNWuqV69eWrRokRYsWOB47lKS47nWwrjhhht09913S5IWLVpU9A9aSthbVG+88Ub17dtX33//vQYPHqzg4GDZbDY1aNBAo0eP1q5duzR+/PjrXu/KlSv64osvJElPPPFESZYOAGVWaXs+VZK8DMMwrC7iepKTkxUYGKikpCQFBAQU+rwrV64oLi5ODRo0KNIc7cC1HnnkEX3wwQeqW7euTpw44dS5P/30k7p27SofHx8dPnzYsmGqStr58+cdQ369//77evjhh4t9zU8++UQPPPCAbrjhBh09elRVq1Z1+hr8ewCgvOvUKWs4zt9+k4o4bHm+iprXCkKLKlBIly9fdkyf2rVrV6fP79Kli+6++25lZGQoOjra1eV5jOwdqdq0aVPs62VmZuq1116TJD399NNFCqkAUN6dOSPZR2Bs08b1IbWkEFSB/zl8+LDyu8GQkZGhxx9/3NG5acSIEUV6j9dee00VKlTQggUL9Ouvvxa5Vk9mD6re3t45xqgtqsWLF2vfvn0KDw/XX//612JfDwDKozVrzKdTpdLR29+OXv/A/0yZMkU///yz7r//fnXp0kVBQUG6fPmy/vOf/+i9997Tjh07JEl9+vTRwIEDi/QezZo10/z583X48GEdP35cdevWdeVH8Aj251MbNWpU4CxThZWRkaGJEyeqd+/eqlSpUrGvBwDlUWl8PlUiqAI57Nu3TxMnTsz39e7duysmJsapoamu9cADDxT53NLA3qLqitv+kjRs2DCXXAcAyivDkL75xlyvXFnq3t3aepxBUAX+Z8KECWratKm+/fZbHT16VGfOnNHVq1d1ww03qGPHjhoyZIjuv//+AgelL+/S09O1Z88eSa4LqgCA4vnlFyk+3lzv1Uuy2aytxxkEVeB/mjVrpueee07PPfec1aWUWhUqVCjS7F0AgJITE5O1PmCAdXUUBU1DAAAAZVRmpmQfvtvHR7r3XmvrcRZBFQAAoIz6/nvJPux3v35SrVrW1uMsgioAAEAZ9cknWet//rN1dRQVQRUAAKAMunJFWrzYXK9aVbrzTmvrKQqCKgAAQBm0apWUlGSu33WXOTRVaUNQBQAAKINK+21/iaAKAABQ5iQmSitXmushIVLv3tbWU1TlIqjmN387gPKDfwcAlCdLlkhpaeb6/fdLFUrpyPllOqjaZxDKzMy0uBIAVrP/O8DMYgDKg7Jw218q40G1QoUK8vb2ZqYcALpy5Yq8vb1VobQ2KwBAIR07Jm3caK43aya1b29tPcVRpoOqt7e3KleurIsXL1pdCgCLXbx4UZUrV6ZFFUCZ989/Zq3/+c+Sl5d1tRRXmf8XOyAgQJcuXVJiYqLVpQCwSGJioi5duqSAgACrSwGAEmUY0scfZ20PG2ZdLa5Q5u+BBQYG6vLly4qPj1dKSooCAwNVoUIFeZXmXy8AXJdhGEpPT1dSUpIuXLig6tWrKzAw0OqyAKBE/fKLtHevud6tm9SwobX1FJdTQXX27NmaPXu2jh49Kklq1aqVXnrpJfXv3z/fcxYvXqwXX3xRR48eVZMmTfT3v/9dAwYMKFbRzgoODpavr6/Onz+vX3/91a3vDcBaNptNwcHBql69utWlAECJ+/TTrPXS3InKzqmgWrduXb3++utq0qSJDMPQhx9+qDvvvFM7d+5Uq1atch2/efNmDR06VNHR0frDH/6gRYsWafDgwdqxY4dat27tsg9xPV5eXqpRo4aqV6+u9PR0ZWRkuO29AVjHx8eHOygAyo2MDGnRInO9QgXp3nutrccVvIxiDi5Yo0YNTZ06VQ8//HCu14YMGaKUlBStWLHCsa9r165q166d5syZk+81U1NTlZqa6thOTk5WWFiYkpKSeMYMAAAgD99+K/Xta64PGiT9+9/uff/k5GQFBga6NK8VuTNVRkaGYmJilJKSooiIiDyP2bJli/r06ZNjX79+/bRly5YCrx0dHa3AwEDHEhYWVtQyAQAAyoV3381aLwu3/aUiBNVdu3apatWqstlsGj16tJYuXaqWLVvmeWx8fLyCg4Nz7AsODlZ8fHyB7zFhwgQlJSU5lhMnTjhbJgAAQLlx5Ii0fLm5Xru2NHiwpeW4jNO9/ps1a6bY2FglJSVpyZIlGjFihDZs2JBvWC0Km80mm83msusBAACUZTNmmENTSVJUlOTra209ruJ0UPX19VXjxo0lSR06dNDWrVv1zjvvaO7cubmODQkJUUJCQo59CQkJCgkJKWK5AAAAyC45WfrgA3Pdz0969FFr63GlYg/4n5mZmaPjU3YRERFau3Ztjn1r1qzJ95lWAAAAOGfBAunCBXP9gQekmjWtrceVnGpRnTBhgvr376/w8HBduHBBixYt0vr16/X1119LkiIjI1WnTh1FR0dLksaOHasePXpo2rRpGjhwoGJiYrRt2zbNmzfP9Z8EAACgnMnIkP7xj6ztsWOtq6UkOBVUT58+rcjISJ06dUqBgYFq06aNvv76a/X931gIx48fzzGPdrdu3bRo0SK98MILeu6559SkSRMtW7bMrWOoAgAAlFUrVpgdqSTp9tulPIa1L9WKPY6qO5TEuFwAAAClXa9e0vr15vqqVVIBk4WWOI8aRxUAAADWiY3NCqnNmkn9+llZTckgqAIAAJRC77yTtT52rORdBlNdGfxIAAAAZVt8vLRokblerZoUGWlpOSWGoAoAAFDKzJkjpaWZ648+KlWpYm09JYWgCgAAUIpcuSLNnm2u+/hIY8ZYW09JIqgCAACUIosWSadPm+t/+pMUFmZtPSWJoAoAAFBKXL0qvfJK1va4cZaV4hYEVQAAgFJi/nwpLs5c79tX6trV2npKGkEVAACgFLhyRZoyJWs7e8tqWUVQBQAAKAXmzJFOnjTX//hHqXNna+txB4IqAACAh7t4UXrttazt7C2rZRlBFQAAwMPNmCGdOWOuDxkitWljbT3uQlAFAADwYOfPS2+8Ya57e0uTJ1tajlsRVAEAADzYtGlmWJWkESOkZs0sLcetCKoAAAAe6swZafp0c71iRemllywtx+0IqgAAAB7q7383O1JJ0qhRUv36lpbjdgRVAAAAD/Tbb9K775rrfn7S889bW48VCKoAAAAeaPJkc5B/SYqKkmrXtrYeKxBUAQAAPMy2bdJ775nrVatKf/ubtfVYhaAKAADgQTIzpTFjJMMwtydNkmrVsrQkyxBUAQAAPMiCBdJPP5nrLVtKf/2rtfVYiaAKAADgIX7/XXr22aztmTPNYanKK4IqAACAh3jxRensWXN9yBCpVy9r67EaQRUAAMAD7NwpzZljrlepIr35prX1eAKCKgAAgMUyM80hqDIzze2XXpLq1rW2Jk9AUAUAALDYRx9JW7aY682aSePGWVqOxyCoAgAAWOj8eemZZ7K2Z8yQfH0tK8ejOBVUo6Oj1alTJ/n7+ysoKEiDBw/WgQMHCjxn4cKF8vLyyrH4+fkVq2gAAICy4oUXpDNnzPV77pH69rW2Hk/iVFDdsGGDoqKi9OOPP2rNmjW6evWqbr/9dqWkpBR4XkBAgE6dOuVYjh07VqyiAQAAyoLvvpPefddcr1xZeusta+vxNBWcOfirr77Ksb1w4UIFBQVp+/btuvXWW/M9z8vLSyEhIUWrEAAAoAy6cEF66KGs7VdekcLDravHExXrGdWkpCRJUo0aNQo87uLFi6pXr57CwsJ05513as+ePQUen5qaquTk5BwLAABAWfLUU9LRo+b6rbdKY8daWo5HKnJQzczM1Lhx49S9e3e1bt063+OaNWum+fPna/ny5frkk0+UmZmpbt266ddff833nOjoaAUGBjqWsLCwopYJAADgcb76Spo3z1yvUsWcNtWbLu65eBmGYRTlxMcff1yrV6/Wpk2bVNeJgb6uXr2qFi1aaOjQoZoyZUqex6Smpio1NdWxnZycrLCwMCUlJSkgIKAo5QIAAHiE8+el1q2lkyfN7dmzpdGjLS3JJZKTkxUYGOjSvObUM6p2Y8aM0YoVK7Rx40anQqokVaxYUTfddJMOHTqU7zE2m002m60opQEAAHi0sWOzQmrfvtJjj1lbjydzqpHZMAyNGTNGS5cu1bp169SgQQOn3zAjI0O7du1SaGio0+cCAACUZsuXm4P7S1JAgPTBB5KXl7U1eTKnWlSjoqK0aNEiLV++XP7+/oqPj5ckBQYGqlKlSpKkyMhI1alTR9HR0ZKkl19+WV27dlXjxo11/vx5TZ06VceOHdMjjzzi4o8CAADguc6elR59NGv7H/+Q6IZTMKeC6uzZsyVJPXv2zLF/wYIFGjlypCTp+PHj8s72NHBiYqJGjRql+Ph4Va9eXR06dNDmzZvVsmXL4lUOAABQShiG9Pjj0unT5vagQVJkpLU1lQZF7kzlTiXxcC4AAIC7zJolRUWZ6zVqSHv2SGVtiPmSyGsMhAAAAFCCtm2Tnnwya/v998teSC0pBFUAAIAScv68dN99Ulqauf3kk9Jdd1laUqlCUAUAACgBhiE9+KAUF2dud+0qvf66tTWVNgRVAACAEjB9urRsmbleo4b0r39Jvr5WVlT6EFQBAABcbMsW6ZlnsrY//lgKD7euntKKoAoAAOBCZ8+az6Wmp5vbzz4rDRhgbU2lFUEVAADARTIyzPFRf/3V3L7lFmnKFGtrKs0IqgAAAC7y7LPS6tXmeq1aUkyMVMGp6ZWQHUEVAADABebPl95801z38TFDau3a1tZU2hFUAQAAimnjRmn06KztmTOl3r2tq6esIKgCAAAUw+HD0t13S1evmtt/+UvO0IqiI6gCAAAUUVKSNGiQdO6cud2vn/TWW9bWVJYQVAEAAIogPV0aMkTat8/cbtHCHNSfzlOuQ1AFAAAogqeekr7+2lyvUUP68kspMNDamsoagioAAICTpk2T3nnHXK9QQfriC6lRI2trKosIqgAAAE748EOzNdVuzhypRw/r6inLCKoAAACF9OWX0sMPZ22//HLObbgWQRUAAKAQvv9euu8+c5pUyRyG6oUXrK2prCOoAgAAXMcvv5jDUF25Ym4PHSpNny55eVlaVplHUAUAACjAkSPSHXeYY6ZK5lipCxdK3qSoEscfMQAAQD5OnZJuv12Kjze3u3aVPv9c8vW1tq7ygqAKAACQh1OnpJ49zSlSJallS2nlSqlKFUvLKlcIqgAAANc4dUrq1Us6eNDcbtDAHNy/Rg1r6ypvCKoAAADZnDol9e4tHThgbtevL333nVS3rqVllUsEVQAAgP+JjzdD6v795nb9+tL69VK9elZWVX4RVAEAAGSG1F69skJqvXpmSyoh1ToEVQAAUO5d25Jar57Zklq/vpVVgaAKAADKtSNHpO7dpX37zO3wcEKqp3AqqEZHR6tTp07y9/dXUFCQBg8erAP2J40LsHjxYjVv3lx+fn668cYbtWrVqiIXDAAA4Cq7d0s332yGVYmWVE/jVFDdsGGDoqKi9OOPP2rNmjW6evWqbr/9dqWkpOR7zubNmzV06FA9/PDD2rlzpwYPHqzBgwdr9+7dxS4eAACgqH78Ubr1VrOXvyS1aCFt2mQORQXP4GUYhlHUk8+cOaOgoCBt2LBBt956a57HDBkyRCkpKVqxYoVjX9euXdWuXTvNmTMnz3NSU1OVmprq2E5OTlZYWJiSkpIUEBBQ1HIBAAAkSd9+Kw0eLNnb2jp1klatkmrWtLSsUi05OVmBgYEuzWvFekY16X+T3tYoYPTbLVu2qE+fPjn29evXT1u2bMn3nOjoaAUGBjqWsLCw4pQJAADg8Pnn0sCBWSG1d29p7VpCqicqclDNzMzUuHHj1L17d7Vu3Trf4+Lj4xUcHJxjX3BwsOLtk+bmYcKECUpKSnIsJ06cKGqZAAAADnPnSvfdJ6WlmduDB5vTovr7W1oW8lGhqCdGRUVp9+7d2rRpkyvrkSTZbDbZbDaXXxcAAJRPmZnShAnSG29k7Rs5UnrvPalCkdMQSlqRvpoxY8ZoxYoV2rhxo+peZz6xkJAQJSQk5NiXkJCgkJCQorw1AACAUy5flkaMkBYvztr39NPS669L3gzU6dGc+noMw9CYMWO0dOlSrVu3Tg0K0S0uIiJCa9euzbFvzZo1ioiIcK5SAAAAJ505I912W1ZI9faWZs0yW1YJqZ7PqRbVqKgoLVq0SMuXL5e/v7/jOdPAwEBVqlRJkhQZGak6deooOjpakjR27Fj16NFD06ZN08CBAxUTE6Nt27Zp3rx5Lv4oAAAAWQ4ckAYMyBojtUoV6bPPzH0oHZz6XWL27NlKSkpSz549FRoa6lj+9a9/OY45fvy4TtkHJJPUrVs3LVq0SPPmzVPbtm21ZMkSLVu2rMAOWAAAAMWxYYMUEZEVUmvXlr7/npBa2hRrHFV3KYlxuQAAQNljGNLs2dLYsVJ6urmvTRuzZ/91utWgmDxuHFUAAABPkZoqPfqoFBWVFVL79TNbUgmppRNBFQAAlHqnTkm9eknvv5+176mnpBUrJG7Gll6MHAYAAEq1n3+W7rpL+u03c9vPzwysw4dbWxeKjxZVAABQai1cKN16a1ZIrVtX2rSJkFpWEFQBAECpc+mS9PDD0oMPms+mStLNN0vbtkkdOlhbG1yHoAoAAEqVgwelrl2l+fOz9o0eLa1dKwUHW1cXXI+gCgAASo3Fi6WOHaVdu8ztypWljz82h6Ty9bW2NrgenakAAIDHS001e/HPnJm1r0ULackSqWVL6+pCySKoAgAAj/bf/0rDhpnPn9oNHy7NmSNVrWpdXSh53PoHAAAeyTCkBQukm27KCqk2mzR3rnm7n5Ba9tGiCgAAPE5iovTYY+YzqXZNm0oxMWZwRflAiyoAAPAoGzdKbdvmDKmPPCLt2EFILW8IqgAAwCOkpUkvvGBOhXrihLmvenWzw9R770lVqlhbH9yPW/8AAMByu3ZJkZFSbGzWvp49pY8+ksLCrKoKVqNFFQAAWCY9XYqONmeTsofUChWk116Tvv2WkFre0aIKAAAssX+/NGKE9PPPWftat5Y+/FBq3966uuA5aFEFAABulZEhvf222THKHlK9vaVnnzWHoSKkwo4WVQAA4DZ79kgPPyz99FPWvqZNzVbUrl2tqwueiRZVAABQ4lJTpYkTzVbU7CF17Fhp505CKvJGiyoAAChRmzeb46Du25e1r1kzc8ipW26xri54PlpUAQBAiUhOlv7yF+nmm7NCaoUK0vPPmz38Cam4HlpUAQCASxmG9Nln0pNPSqdOZe3v1El6/32pTRvrakPpQosqAABwmf/+V+rXT7r//qyQWqmSNG2atGULIRXOoUUVAAAU2+XL0uuvm0taWtb+QYOkf/xDql/fstJQihFUAQBAkRmGtHKlNG6cdPhw1v7wcGnGDOmPf7SsNJQB3PoHAABFcuCANGCA2WpqD6kVKkh/+5u0dy8hFcVHiyoAAHBKUpI0ZYr0zjtSenrW/ltvlWbNklq1sq42lC1Ot6hu3LhRgwYNUu3ateXl5aVly5YVePz69evl5eWVa4mPjy9qzQAAwAKZmdKCBeZMUtOmZYXUsDApJkZav56QCtdyOqimpKSobdu2evfdd50678CBAzp16pRjCQoKcvatAQCARdavN4eXeugh6fRpc5+fn/TSS9L+/dKQIZKXl6Ulogxy+tZ///791b9/f6ffKCgoSNWqVXP6PAAAYJ0DB6Snn5a+/DLn/nvukd58k978KFlu60zVrl07hYaGqm/fvvrhhx8KPDY1NVXJyck5FgAA4D5nzkhjxpi38rOH1LZtpbVrpSVLCKkoeSUeVENDQzVnzhx9/vnn+vzzzxUWFqaePXtqx44d+Z4THR2twMBAxxIWFlbSZQIAAEmXLpljoTZuLL37rpSRYe6vXdt8PnX7dql3b2trRPnhZRiGUeSTvby0dOlSDR482KnzevToofDwcH388cd5vp6amqrU1FTHdnJyssLCwpSUlKSAgICilgsAAPJx9ao0f740eXLOaU+rVDGHmxo/3lwH8pOcnKzAwECX5jVLhqfq3LmzNm3alO/rNptNNpvNjRUBAFA+ZWaat/FfeMGc/tTO29vsOPXyy1JoqHX1oXyzJKjGxsYqlP/qAQCwjGFI33wjPf+8eTs/u7vukl59VWrRwpraADung+rFixd16NAhx3ZcXJxiY2NVo0YNhYeHa8KECTp58qQ++ugjSdL06dPVoEEDtWrVSleuXNH777+vdevW6ZtvvnHdpwAAAIW2fr304ovStTc3e/Y0n0/t0sWKqoDcnA6q27ZtU69evRzb48ePlySNGDFCCxcu1KlTp3T8+HHH62lpafq///s/nTx5UpUrV1abNm307bff5rgGAAAoeZs3mwF13bqc+9u1k6KjpX79GAsVnqVYnancpSQezgUAoLzYutUcmP+rr3Lub95cmjRJuvde85lUoDjKTGcqAABQ8rZskaZMkVavzrm/USNp4kRp2DDJx8ea2oDCIKgCAFDGfP+9GVDXrMm5PzzcbFmNjJQqVrSmNsAZBFUAAMoAwzA7Sb38svkzu/BwacIE6cEHJUZ/RGlCUAUAoBTLzDSnOI2Oln76KedrDRtKzz0nPfCA5OtrTX1AcRBUAQAohdLTpZgYczipPXtyvtakiTk+6rBh3OJH6UZQBQCgFLl0SVq4UJo6VTp6NOdrN94oPfusdN99UgX+D48ygP+MAQAoBc6ckd5911zOns35Wrdu5jOoAwcyDirKFoIqAAAe7NAh6a23pAULpCtXcr7Wr5/5DOottxBQUTYRVAEA8DCGYc4i9dZb0tKl5radj495a/+pp6T27a2rEXAHgioAAB7i6lVpyRLp7bfN2aSyq1JFGjVKGjdOqlfPkvIAtyOoAgBgsd9/l+bNk2bOlE6ezPlaSIg0dqz02GNS9erW1AdYhaAKAIBFdu0yw+knn5i9+bNr10568klpyBAG6Uf5RVAFAMCN0tOl5cvNgHrtDFJeXtIf/2je3u/Rgw5SAEEVAAA3OHNGev99afZs6cSJnK9VrWpOb/rXv0qNG1tTH+CJCKoAAJQQe+/9WbPMTlJpaTlfb9pUGjNGGjFCCgiwpkbAkxFUAQBwsQsXzOdOZ882n0PNzsvLHJj/L3+R+vSRvL2tqREoDQiqAAC4yM6dZu/9Tz6RLl7M+doNN0gPPSSNHi01bGhNfUBpQ1AFAKAYLlyQYmLMgLptW+7XIyKkxx+X7r1X8vNzf31AaUZQBQDASYYhbd8uvfeetGhR7tbTKlWk4cPNgNqunSUlAmUCQRUAgEI6d868rf/BB7mfPZWkDh2kRx+Vhg6V/P3dXx9Q1hBUAQAoQEaG9O23Zjhdvjx3z/2qVc3W01GjzKAKwHUIqgAA5OG//5U+/FD66KPc455K5rOnDz0k3X+/GVYBuF6pCqqGYVhdAgCgDEtKkj77TFq40Bz/9Fq1akmRkWZAbdnS7eUB5U6pCqqXLl1SYGCg1WUAAMqQ9HTz1v7HH0tffCFduZLzdR8fqV8/6eGHpT/8QfL1taZOoDwqVUEVAABXMAwpNtYMp4sWSQkJuY9p1UoaOdJ8/jQ01N0VApAIqgCAcuT4cemf/zQD6p49uV+vUUMaNswMqO3bm7NIAbAOQRUAUKadOyctWWK2nG7cmPt1X1/zlv4DD0gDBnBrH/AkBFUAQJmTkiJ9+aUZTr/6Srp6Nfcx3bqZ4fS++8yWVACex9vZEzZu3KhBgwapdu3a8vLy0rJly657zvr169W+fXvZbDY1btxYCxcuLEKpAADkLzXVHOd06FApKMj8+eWXOUNqs2bSyy9Lhw5JP/wgjR5NSAU8mdMtqikpKWrbtq0eeugh3X333dc9Pi4uTgMHDtTo0aP16aefau3atXrkkUcUGhqqfv36FaloAAAkM4SuWyfFxEhLl5rDS12rdm0ztA4fbk5nynOnQOnhdFDt37+/+vfvX+jj58yZowYNGmjatGmSpBYtWmjTpk16++238w2qqampSk1NdWwnJyc7WyYAoIy6elX67jtp8WJzOKnff899TI0a0j33mAH11lvNIaYAlD4l/ozqli1b1KdPnxz7+vXrp3HjxuV7TnR0tCZPnlzClQEASov0dGn9enMw/i++MDtIXcvfX7rrLnOmqD59pIoV3V4mABcr8aAaHx+v4ODgHPuCg4OVnJysy5cvq1KlSrnOmTBhgsaPH+/YTk5OVlhYWEmXCgDwIGlp0tq10uefS8uW5R1OK1c2e+wPGWL22Pfzc3uZAEqQR/b6t9lsstlsVpcBAHCzy5elb74xw+m//533M6f2cHrvvWY4rVzZ/XUCcI8SD6ohISFKuGbKj4SEBAUEBOTZmgoAKF+SkqSVK83OUKtXm0NLXatKFWngQMIpUN6UeFCNiIjQqlWrcuxbs2aNIiIiSvqtAQAeKiHBHEpq6VLz9n5e45wGBEh//KPZKapfP4m2DaD8cTqoXrx4UYcOHXJsx8XFKTY2VjVq1FB4eLgmTJigkydP6qOPPpIkjR49WjNnztQzzzyjhx56SOvWrdNnn32mlStXuu5TAAA83oED5rOmy5dLP/4oGUbuY2rWzAqnt90m8RQYUL45HVS3bdumXr16ObbtnZ5GjBihhQsX6tSpUzp+/Ljj9QYNGmjlypV68skn9c4776hu3bp6//33GUMVAMq4jAzpp5/MYLp8uRlU8xIWZvbWv+su6eabpQoe2XsCgBW8DCOv32k9S3JysgIDA/Xbb78pNDTU6nIAAPm4eNHsDPXll+Zzp2fO5H1cy5bSnXdKd98tdejAIPxAWWDPa0lJSQoICHDJNfm9FQBQLMePSytWmOF03TpzWKlreXtL3bub4fTOO6XGjd1fJ4DSh6AKAHBKRob5jOmKFWar6a5deR9XubLZCWrQIHM4qVq13FsngNKPoAoAuK5z56Svv5ZWrTKHkMpr2lJJqlPH7Aw1aJDUqxcD8AMoHoIqACCXzEwpNtYMpqtWmZ2iMjNzH+flJXXqZLaYDhwo3XQTz5sCcB2CKgBAktlqumaN9NVXZutpfHzex/n7m7f0Bw6U+veXrpklGwBchqAKAOVURoa0bZsZTL/6Svr557xbTSWzl/6AAebSvbvk6+veWgGUTwRVAChHfv3VbC39+mvp22+lxMS8j6tc2Rxwf8AAs9W0Xj331gkAEkEVAMq0lBRp40ZzbNNvvpH27s3/2NatpTvuMJebb2ZWKADWI6gCQBmSkSHt2GE+a7pmjbR5c97jmkpStWpmq+kdd5jPnIaFubVUALgugioAlGKGIR0+bN7GX7vWXPK7ne/tLXXpYobS2283e+szXSkAT8Y/UQBQyiQkmDNA2cPpsWP5H9uwodS3r7n07i1Vr+6+OgGguAiqAODhzp+XNmwww+m6ddLu3fkfa7+dbw+nDRu6q0oAcD2CKgB4mAsXpE2bpO++M5cdO/IfNspmMzs+9eljBtT27SUfH/fWCwAlhaAKABa7dEn64YesYLp1q9kpKi/e3lLHjub0pH37St26SZUqubdeAHAXgioAuFlKitkbf/1685b+zz9LV6/mf3ybNubzpb17S7feKgUGuq1UALAUQRUAStiFC2aL6caNZjjdulVKT8//+ObNzRbTXr2kHj2koCC3lQoAHoWgCgAu9vvv5jOmGzaY4bSgZ0wlqUkTqWdPM5j27CmFhrqrUgDwbARVACimX3+Vvv8+aymoV74kNWtmtpT27Gn+rF3bLWUCQKlDUAUAJxiGdOCA2WJqD6ZxcQWf06qVGUhvucX8SYspABQOQRUACpCWZt6637Qpazl3Lv/jvb2ldu3MTk89ephDR9Ws6bZyAaBMIagCQDa//272yP/hB3PZulW6ciX/4202c1rSW24xl4gIKSDAffUCQFlGUAVQbhmGdPCgGUy3bDFbS/ftK/ic6tWl7t3NltKbbzbHNLXZ3FMvAJQ3BFUA5UZKitlCumVLVjgt6Da+JDVokDOYtmhh3t4HAJQ8giqAMskwpMOHzTD644/mz//8J/8ZnySpQgXpppvMYGpf6PgEANYhqAIoE5KTzdbSH3/MWs6eLficG24wpyC1Lx07SpUru6deAMD1EVQBlDoZGdKePdJPP2Ute/aYraj58fKSWrc2OztFRJitpY0bm/sBAJ6JoArAoxmGdPJkViD9+Wdp2zbzedOCVK8ude2aFUw7d6Y3PgCUNkUKqu+++66mTp2q+Ph4tW3bVjNmzFDnzp3zPHbhwoV68MEHc+yz2Wy6UtB4LwDKrfPnzSD6889Zy6lTBZ/j4yO1bWsGU/tCaykAlH5OB9V//etfGj9+vObMmaMuXbpo+vTp6tevnw4cOKCgoKA8zwkICNCBAwcc21783wOApMuXpZ07zWdL7cvBg9c/LzzcHLu0SxezpbRDB54tBYCyyOmg+tZbb2nUqFGOVtI5c+Zo5cqVmj9/vp599tk8z/Hy8lJISEjxKgVQqqWlSbt3m62l27aZoXTXroJ74UtSYKDUqZO52MMp/5wAQPngVFBNS0vT9u3bNWHCBMc+b29v9enTR1u2bMn3vIsXL6pevXrKzMxU+/bt9dprr6lVq1b5Hp+amqrU1FTHdnJysjNlArDY1avS3r3S9u1ZwfSXX8ywWhBfX3P60c6ds5YmTRi3FADKK6eC6tmzZ5WRkaHg4OAc+4ODg7V///48z2nWrJnmz5+vNm3aKCkpSW+++aa6deumPXv2qG7dunmeEx0drcmTJztTGgCLpKfnDKXbt5uh9HqPoXt7S61aZbWWduok3XijGVYBAJDc0Os/IiJCERERju1u3bqpRYsWmjt3rqZMmZLnORMmTND48eMd28nJyQoLCyvpUgFcR1qaOQzU9u3Sjh3mz//85/qhVJKaNTPDaMeO5tKunVSlSomXDAAoxZwKqjVr1pSPj48SEhJy7E9ISCj0M6gVK1bUTTfdpEOHDuV7jM1mk43JswFLXb5shtAdO7KW3buvf/teMnvcd+xodnKyLwwNBQBwllNB1dfXVx06dNDatWs1ePBgSVJmZqbWrl2rMWPGFOoaGRkZ2rVrlwYMGOB0sQBKRmKiFBtr9sC3L/v3X7+jk2Q+Q9q+vbl07Gj+rFatpCsGAJQHTt/6Hz9+vEaMGKGOHTuqc+fOmj59ulJSUhyjAERGRqpOnTqKjo6WJL388svq2rWrGjdurPPnz2vq1Kk6duyYHnnkEdd+EgDXZRjSr7+aoTR7MD169PrnenlJzZtLN92U1Urarp3ZKx8AgJLgdFAdMmSIzpw5o5deeknx8fFq166dvvrqK0cHq+PHj8s7WxfdxMREjRo1SvHx8apevbo6dOigzZs3q2XLlq77FAByuXpVOnDADKS//GIG0thY6dy5659boYI53Wj79mYwbd9eatNGqlq1pKsGACCLl2EUNDu2Z0hOTlZgYKB+++03hYaGWl0O4HESE83nSX/5JSuYFvZ50ipVzFmdbropa2nVSuIxcQCAM+x5LSkpSQEu6phQ4r3+AbhORoZ0+LAZRLMvJ04U7vygoKww2q6duTRubE5BCgCApyGoAh7q99/NmZv+85+sZfdu6dKl65/r5WUOB9W2rRlG7T+5IQEAKE0IqoDF0tLMZ0n/85+cwfTkycKd7+9vPj/atm1WIG3dWqpcuUTLBgCgxBFUATcxDOn4cTOMZl8OHDA7PhVG48ZmKL3xxqxgWr8+U4wCAMomgipQAs6cMW/T795thlH7+oULhTu/WjUzjNoDaZs2Zispve4BAOUJQRUohqQkc557exDdvducYvSaydvyVaGCOTbpjTeaYdTeWlq3rvmcKQAA5RlBFSiEixelffuygqh9KWxve0mqV89sFbW3lN54o9nhyde35OoGAKA0I6gC2dgD6d69ZhC1/yzMzE12tWplBdLWrc2lVSvmugcAwFkEVZRLSUlZgTT7cuxY4a8RGJgziNp/BgWVXN0AAJQnBFWUaWfOmIHUHkrtPws79JNkDv/UqlXupXZtniMFAKAkEVRR6hmG+ayoPZBmX86eLfx1AgKkli3NEJr9Jx2bAACwBkEVpUZamvTf/0r795vLvn1Z6ykphb9O9epZITT7QgspAACehaAKj/P771kBdP9+c0D8ffukI0fMue4LKzRUatHCDKHZfwYFEUgBACgNCKqwRHq6GTwPHMha7KH0zJnCX8fbW2rQwAyg2Zfmzc1B8wEAQOlFUEWJMQzp3LmcYdS+HD5c+GlDJalSJTN8Nm+eFURbtDCnFPXzK7nPAAAArENQRbFdviwdOmQG0IMHc/5MTHTuWvbb9c2aZQXT5s3NDk3MZw8AQPlCUEWhpKebY4wePJh7OX7cuWv5+UlNmmSFUfvPpk0ZFB8AAGQhqMIhM1P67TczfP73vzl/Hjni3K16SQoLM8Nns2Y5l/BwWkcBAMD1EVTLGcOQ4uPNAHrtcuiQeRvfGYGBZvi0B1L7z8aNpSpVSuYzAACA8oGgWgYZhnTqlBk87Uv2MOrMmKOS2ZGpcWPzdr39ln3TpuZSsyZDPQEAgJJBUC2lMjPNaUCzh9Hsy6VLzl2vYkWpUaOsMNqkiRlEmzSR6tThVj0AAHA/gqoHu3rV7MB0+LAZPg8fzrmemurc9SpUMMccbdIkZwtpkybmc6MV+K8BAAB4EKKJxVJSzI5K2YOofTl2zLmZmKTcYdS+NGki1atntpwCAACUBgTVEmYYUkKCGUYPH876aV8SEpy/ps1m3qZv1ChnGG3UyAyjtIwCAICygEjjAleuSEePmiE0eyC1L84+LypJ/v45g6h9vVEjnhkFAADlA0G1EDIzzSGd4uKywmf29ZMni3bd0FAzeDZsmNVCal/oTQ8AAMo7gur/JCVlBVD7Yt8+etRsNXWWr6/5vKg9iGb/2bChVLmyyz8GAABAmVFugurly2bgzB5E7cvRo87PSW8XFJQVPBs2NIOpPYxyix4AAKDoihRU3333XU2dOlXx8fFq27atZsyYoc6dO+d7/OLFi/Xiiy/q6NGjatKkif7+979rwIABRS46L2lp5pzzR4/mDqRHj5q37ovCzy8rgOb1s2pVF34IAAAAODgdVP/1r39p/PjxmjNnjrp06aLp06erX79+OnDggIKCgnIdv3nzZg0dOlTR0dH6wx/+oEWLFmnw4MHasWOHWrduXeTCP/9cWrYsK5iePGn2sHeWt7c5J32DBjlDqH09OJhnRQEAAKzgZRjOxbsuXbqoU6dOmjlzpiQpMzNTYWFh+stf/qJnn3021/FDhgxRSkqKVqxY4djXtWtXtWvXTnPmzMnzPVJTU5WabTT7pKQkhYeH68CBAwoJCZEkvfqq9MYbhas5ONgc0L5+ffNnvXpZS926jC0KAABQXMnJyQoLC9P58+cVGBjomosaTkhNTTV8fHyMpUuX5tgfGRlp/PGPf8zznLCwMOPtt9/Ose+ll14y2rRpk+/7TJw40ZDEwsLCwsLCwsJSypbDhw87Ey8L5NSt/7NnzyojI0PBwcE59gcHB2v//v15nhMfH5/n8fEFPDQ6YcIEjR8/3rF9/vx51atXT8ePH3ddQofHsv9GduLECQUEBFhdDkoY33f5wvddvvB9ly/2O+A1atRw2TU9ste/zWaTzWbLtT8wMJD/0MuRgIAAvu9yhO+7fOH7Ll/4vssXbxcOeeTUlWrWrCkfHx8lXDPvZ0JCguPZ0WuFhIQ4dTwAAAAgORlUfX191aFDB61du9axLzMzU2vXrlVERESe50REROQ4XpLWrFmT7/EAAACAVIRb/+PHj9eIESPUsWNHde7cWdOnT1dKSooefPBBSVJkZKTq1Kmj6OhoSdLYsWPVo0cPTZs2TQMHDlRMTIy2bdumefPmFfo9bTabJk6cmOfjACh7+L7LF77v8oXvu3zh+y5fSuL7dnp4KkmaOXOmY8D/du3a6R//+Ie6dOkiSerZs6fq16+vhQsXOo5fvHixXnjhBceA/2+88YbLB/wHAABA2VKkoAoAAACUNGaiBwAAgEciqAIAAMAjEVQBAADgkQiqAAAA8EgeE1Tfffdd1a9fX35+furSpYt+/vnnAo9fvHixmjdvLj8/P914441atWqVmyqFKzjzfb/33nu65ZZbVL16dVWvXl19+vS57n8f8CzO/v22i4mJkZeXlwYPHlyyBcKlnP2+z58/r6ioKIWGhspms6lp06b8m16KOPt9T58+Xc2aNVOlSpUUFhamJ598UleuXHFTtSiqjRs3atCgQapdu7a8vLy0bNmy656zfv16tW/fXjabTY0bN84xIlShGR4gJibG8PX1NebPn2/s2bPHGDVqlFGtWjUjISEhz+N/+OEHw8fHx3jjjTeMvXv3Gi+88IJRsWJFY9euXW6uHEXh7Pc9bNgw49133zV27txp7Nu3zxg5cqQRGBho/Prrr26uHEXh7PdtFxcXZ9SpU8e45ZZbjDvvvNM9xaLYnP2+U1NTjY4dOxoDBgwwNm3aZMTFxRnr1683YmNj3Vw5isLZ7/vTTz81bDab8emnnxpxcXHG119/bYSGhhpPPvmkmyuHs1atWmU8//zzxhdffGFIMpYuXVrg8UeOHDEqV65sjB8/3ti7d68xY8YMw8fHx/jqq6+cel+PCKqdO3c2oqKiHNsZGRlG7dq1jejo6DyPv++++4yBAwfm2NelSxfjscceK9E64RrOft/XSk9PN/z9/Y0PP/ywpEqECxXl+05PTze6detmvP/++8aIESMIqqWIs9/37NmzjYYNGxppaWnuKhEu5Oz3HRUVZfTu3TvHvvHjxxvdu3cv0TrhWoUJqs8884zRqlWrHPuGDBli9OvXz6n3svzWf1pamrZv364+ffo49nl7e6tPnz7asmVLnuds2bIlx/GS1K9fv3yPh+coyvd9rUuXLunq1auqUaNGSZUJFynq9/3yyy8rKChIDz/8sDvKhIsU5fv+97//rYiICEVFRSk4OFitW7fWa6+9poyMDHeVjSIqyvfdrVs3bd++3fF4wJEjR7Rq1SomASqDXJXVnJ5C1dXOnj2rjIwMBQcH59gfHBys/fv353lOfHx8nsfHx8eXWJ1wjaJ839f629/+ptq1a+f6CwDPU5Tve9OmTfrggw8UGxvrhgrhSkX5vo8cOaJ169Zp+PDhWrVqlQ4dOqQnnnhCV69e1cSJE91RNoqoKN/3sGHDdPbsWd18880yDEPp6ekaPXq0nnvuOXeUDDfKL6slJyfr8uXLqlSpUqGuY3mLKuCM119/XTExMVq6dKn8/PysLgcuduHCBT3wwAN67733VLNmTavLgRtkZmYqKChI8+bNU4cOHTRkyBA9//zzmjNnjtWloQSsX79er732mmbNmqUdO3boiy++0MqVKzVlyhSrS4OHsrxFtWbNmvLx8VFCQkKO/QkJCQoJCcnznJCQEKeOh+coyvdt9+abb+r111/Xt99+qzZt2pRkmXARZ7/vw4cP6+jRoxo0aJBjX2ZmpiSpQoUKOnDggBo1alSyRaPIivL3OzQ0VBUrVpSPj49jX4sWLRQfH6+0tDT5+vqWaM0ouqJ83y+++KIeeOABPfLII5KkG2+8USkpKXr00Uf1/PPPy9ub9rOyIr+sFhAQUOjWVMkDWlR9fX3VoUMHrV271rEvMzNTa9euVURERJ7nRERE5DhektasWZPv8fAcRfm+JemNN97QlClT9NVXX6ljx47uKBUu4Oz33bx5c+3atUuxsbGO5Y9//KN69eql2NhYhYWFubN8OKkof7+7d++uQ4cOOX4hkaSDBw8qNDSUkOrhivJ9X7p0KVcYtf+SYvbRQVnhsqzmXD+vkhETE2PYbDZj4cKFxt69e41HH33UqFatmhEfH28YhmE88MADxrPPPus4/ocffjAqVKhgvPnmm8a+ffuMiRMnMjxVKeLs9/36668bvr6+xpIlS4xTp045lgsXLlj1EeAEZ7/va9Hrv3Rx9vs+fvy44e/vb4wZM8Y4cOCAsWLFCiMoKMh45ZVXrPoIcIKz3/fEiRMNf39/45///Kdx5MgR45tvvjEaNWpk3HfffVZ9BBTShQsXjJ07dxo7d+40JBlvvfWWsXPnTuPYsWOGYRjGs88+azzwwAOO4+3DUz399NPGvn37jHfffbf0Dk9lGIYxY8YMIzw83PD19TU6d+5s/Pjjj47XevToYYwYMSLH8Z999pnRtGlTw9fX12jVqpWxcuVKN1eM4nDm+65Xr54hKdcyceJE9xeOInH273d2BNXSx9nve/PmzUaXLl0Mm81mNGzY0Hj11VeN9PR0N1eNonLm+7569aoxadIko1GjRoafn58RFhZmPPHEE0ZiYqL7C4dTvvvuuzz/X2z/fkeMGGH06NEj1znt2rUzfH19jYYNGxoLFixw+n29DIO2dgAAAHgey59RBQAAAPJCUAUAAIBHIqgCAADAIxFUAQAA4JEIqgAAAPBIBFUAAAB4JIIqAAAAPBJBFQAAAB6JoAoAFkhMTNTkyZN16tQpq0sBAI/FzFQAYIHIyEidO3dOFStW1LJly6wuBwA8Ei2qAOBmK1eu1IULF7Ry5UpVq1ZNn376qdUlAYBHokUVAAAAHokWVQAAAHgkgioAAAA8EkEVANwoPj5eXl5eeuedd3TTTTfJz89PrVq10qZNm6wuDQA8DkEVANwoNjZWkjR//nxNnz5dsbGxCg8P1/Dhw5WZmWltcQDgYSpYXQAAlCe//PKLKlasqOXLl6t+/fqSpFdeeUUdO3bUyZMnFRYWZm2BAOBBaFEFADeKjY3V3Xff7QipkhQQEGBdQQDgwQiqAOBGsbGxateuXY59W7ZsUc2aNVWnTh1rigIAD0VQBQA3uXz5sv773/8qIyPDsS8zM1PTp0/XiBEj5O3NP8kAkB3/KgKAm+zatUteXl765JNPtGXLFu3bt09DhgzR+fPn9cILL1hdHgB4HIIqALhJbGysmjdvrueee0733HOPOnbsqIyMDG3YsEHVqlWzujwA8DhMoQoAbhIVFaXExEQtWrTI6lIAoFSgRRUA3CQ2NlZt2rSxugwAKDUIqgDgBoZhaNeuXQRVAHACt/4BAADgkWhRBQAAgEciqAIAAMAjEVQBAADgkQiqAAAA8EgEVQAAAHgkgioAAAA8EkEVAAAAHomgCgAAAI9EUAUAAIBHIqgCAADAIxFUAQAA4JH+H4zgIC44PswiAAAAAElFTkSuQmCC",
|
|
"text/plain": [
|
|
"<Figure size 800x400 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"cost_zero = -np.log(1-ph)\n",
|
|
"plt.figure(figsize=(8, 4))\n",
|
|
"plt.plot([0, 0], [-1.1, 1.1], \"k-\")\n",
|
|
"plt.plot(ph, cost_zero, \"b-\", linewidth=2, label=r\"$-\\log{(1-\\hat{p})}$\")\n",
|
|
"plt.xlabel(\"$\\hat{p}$\")\n",
|
|
"plt.legend(loc=\"upper left\", fontsize=20)\n",
|
|
"plt.axis([0, 1, 0, 4]);\n",
|
|
"plt.title('Cost for $y=0$');"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {
|
|
"slideshow": {
|
|
"slide_type": "subslide"
|
|
},
|
|
"tags": [
|
|
"inclass_exercise"
|
|
]
|
|
},
|
|
"source": [
|
|
"What can you say intuitively about the cost function at the edges of the domain?"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {
|
|
"slideshow": {
|
|
"slide_type": "fragment"
|
|
},
|
|
"tags": [
|
|
"solution",
|
|
"inclass_exercise"
|
|
]
|
|
},
|
|
"source": [
|
|
"- For $\\hat{p}=0$, $C(\\hat{p}) = 0$.\n",
|
|
"- For $\\hat{p}=1$, $C(\\hat{p}) \\rightarrow \\infty$."
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {
|
|
"slideshow": {
|
|
"slide_type": "subslide"
|
|
}
|
|
},
|
|
"source": [
|
|
"### Log-loss function for logistic regression\n",
|
|
"\n",
|
|
"Cost function can be written by the single expression\n",
|
|
"\n",
|
|
"$$\n",
|
|
"C(\\theta) = -\\frac{1}{m} \\sum_{i=1}^m \n",
|
|
"\\left [ \n",
|
|
"y^{(i)} \\log(\\hat{p}^{(i)})\n",
|
|
"+\n",
|
|
"(1 - y^{(i)}) \\log(1 - \\hat{p}^{(i)})\n",
|
|
"\\right],\n",
|
|
"$$\n",
|
|
"\n",
|
|
"since $y^{(i)}$ is always 0 or 1 and we thus recover the separate cases considered above."
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {
|
|
"slideshow": {
|
|
"slide_type": "fragment"
|
|
}
|
|
},
|
|
"source": [
|
|
"#### Aside: statistical interpretation\n",
|
|
"\n",
|
|
"Interpret $p$ as probability of target $y$:\n",
|
|
"\n",
|
|
"$$\n",
|
|
"{\\rm P}(y \\: \\vert \\: p ) = p^{y} (1-p)^{1-y}\n",
|
|
"$$\n",
|
|
"\n",
|
|
"$$\n",
|
|
"{\\rm log}{\\rm P}(y \\: \\vert \\: p, x ) = y {\\rm log}(p) + (1-y) {\\rm log}(1-p)\n",
|
|
"$$\n",
|
|
"\n",
|
|
"See [MacKay](http://www.inference.org.uk/itila/book.html) [Chapter 41] for further details."
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {
|
|
"slideshow": {
|
|
"slide_type": "slide"
|
|
}
|
|
},
|
|
"source": [
|
|
"## Minimising the cost function\n",
|
|
"\n",
|
|
"No closed form solution like linear regression.\n",
|
|
"\n",
|
|
"But since the cost function is convex guaranteed to find global minimum by gradient descent."
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {
|
|
"slideshow": {
|
|
"slide_type": "subslide"
|
|
}
|
|
},
|
|
"source": [
|
|
"### Derivative of the cost function\n",
|
|
"\n",
|
|
"\\begin{align*}\n",
|
|
"\\frac{\\partial C}{\\partial \\theta} \n",
|
|
"&=\n",
|
|
"\\frac{1}{m} \\sum_{i=1}^m \n",
|
|
"\\left[ \\sigma\\left(\\theta^{\\rm T} x^{(i)} \\right) - y^{(i)} \\right] \n",
|
|
"x^{(i)} \\\\\n",
|
|
"&=\n",
|
|
"\\frac{1}{m} \n",
|
|
"X^{\\rm T}\n",
|
|
"\\left[ \\sigma\\left(X \\theta \\right) - y \\right] \\\\\n",
|
|
"&=\n",
|
|
"\\frac{1}{m} \n",
|
|
"X^{\\rm T}\n",
|
|
"\\left[ h_\\theta\\left(X\\right) - y \\right]\n",
|
|
"\\end{align*}\n",
|
|
"\n"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {
|
|
"slideshow": {
|
|
"slide_type": "subslide"
|
|
}
|
|
},
|
|
"source": [
|
|
"### Similarity with linear regression\n",
|
|
"\n",
|
|
"Identical to linear regression (up to factor of 2 depending on conventions adopted) but with a different prediction function:\n",
|
|
"\n",
|
|
"$$h_\\theta(x) = \\sigma(\\theta^{\\rm T} x), $$\n",
|
|
"\n",
|
|
"instead of\n",
|
|
"\n",
|
|
"$$h_\\theta(x) = \\theta^{\\rm T} x. $$\n"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {
|
|
"slideshow": {
|
|
"slide_type": "slide"
|
|
}
|
|
},
|
|
"source": [
|
|
"## Example of logistic regression"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"Consider [Iris flower data](https://en.wikipedia.org/wiki/Iris_flower_data_set) again."
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 6,
|
|
"metadata": {
|
|
"execution": {
|
|
"iopub.execute_input": "2024-01-10T00:19:57.939374Z",
|
|
"iopub.status.busy": "2024-01-10T00:19:57.937962Z",
|
|
"iopub.status.idle": "2024-01-10T00:19:58.295225Z",
|
|
"shell.execute_reply": "2024-01-10T00:19:58.294555Z"
|
|
}
|
|
},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"['data',\n",
|
|
" 'target',\n",
|
|
" 'frame',\n",
|
|
" 'target_names',\n",
|
|
" 'DESCR',\n",
|
|
" 'feature_names',\n",
|
|
" 'filename',\n",
|
|
" 'data_module']"
|
|
]
|
|
},
|
|
"execution_count": 6,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"from sklearn import datasets\n",
|
|
"iris = datasets.load_iris()\n",
|
|
"list(iris.keys())"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 7,
|
|
"metadata": {
|
|
"execution": {
|
|
"iopub.execute_input": "2024-01-10T00:19:58.299485Z",
|
|
"iopub.status.busy": "2024-01-10T00:19:58.298085Z",
|
|
"iopub.status.idle": "2024-01-10T00:19:58.303784Z",
|
|
"shell.execute_reply": "2024-01-10T00:19:58.303189Z"
|
|
}
|
|
},
|
|
"outputs": [],
|
|
"source": [
|
|
"import numpy as np\n",
|
|
"%matplotlib inline\n",
|
|
"import matplotlib\n",
|
|
"import matplotlib.pyplot as plt"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {
|
|
"slideshow": {
|
|
"slide_type": "subslide"
|
|
}
|
|
},
|
|
"source": [
|
|
"### Train model\n",
|
|
"\n",
|
|
"Use petal width to classify whether Virginica or not."
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 8,
|
|
"metadata": {
|
|
"execution": {
|
|
"iopub.execute_input": "2024-01-10T00:19:58.307016Z",
|
|
"iopub.status.busy": "2024-01-10T00:19:58.306450Z",
|
|
"iopub.status.idle": "2024-01-10T00:19:58.311305Z",
|
|
"shell.execute_reply": "2024-01-10T00:19:58.310697Z"
|
|
}
|
|
},
|
|
"outputs": [],
|
|
"source": [
|
|
"# Set up training data\n",
|
|
"X_1d = iris[\"data\"][:, 3:] # petal width\n",
|
|
"y = (iris[\"target\"] == 2).astype(int) # 1 if Iris-Virginica, else 0"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 9,
|
|
"metadata": {
|
|
"execution": {
|
|
"iopub.execute_input": "2024-01-10T00:19:58.315162Z",
|
|
"iopub.status.busy": "2024-01-10T00:19:58.313802Z",
|
|
"iopub.status.idle": "2024-01-10T00:19:58.370892Z",
|
|
"shell.execute_reply": "2024-01-10T00:19:58.370148Z"
|
|
}
|
|
},
|
|
"outputs": [],
|
|
"source": [
|
|
"from sklearn.linear_model import LogisticRegression\n",
|
|
"log_reg = LogisticRegression(random_state=42)\n",
|
|
"log_reg.fit(X_1d, y);"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"Note that Scikit-Learn automatically adds $\\ell_2$ regularizer to cost function."
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {
|
|
"slideshow": {
|
|
"slide_type": "subslide"
|
|
}
|
|
},
|
|
"source": [
|
|
"### Prediction"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 10,
|
|
"metadata": {
|
|
"execution": {
|
|
"iopub.execute_input": "2024-01-10T00:19:58.375263Z",
|
|
"iopub.status.busy": "2024-01-10T00:19:58.373897Z",
|
|
"iopub.status.idle": "2024-01-10T00:19:58.555888Z",
|
|
"shell.execute_reply": "2024-01-10T00:19:58.555274Z"
|
|
}
|
|
},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"image/png": "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",
|
|
"text/plain": [
|
|
"<Figure size 800x400 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"X_1d_new = np.linspace(0, 3, 1000).reshape(-1, 1)\n",
|
|
"y_1d_proba = log_reg.predict_proba(X_1d_new)\n",
|
|
"\n",
|
|
"plt.figure(figsize=(8,4))\n",
|
|
"plt.plot(X_1d_new, y_1d_proba[:, 1], \"g-\", linewidth=2, label=\"Iris-Virginica\")\n",
|
|
"plt.plot(X_1d_new, y_1d_proba[:, 0], \"b--\", linewidth=2, label=\"Not Iris-Virginica\")\n",
|
|
"plt.xlabel(\"Petal width (cm)\", fontsize=14)\n",
|
|
"plt.ylabel(\"Probability\", fontsize=14)\n",
|
|
"plt.legend(loc=\"center left\", fontsize=14);"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {
|
|
"slideshow": {
|
|
"slide_type": "subslide"
|
|
}
|
|
},
|
|
"source": [
|
|
"### Decision boundary"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {
|
|
"slideshow": {
|
|
"slide_type": "-"
|
|
}
|
|
},
|
|
"source": [
|
|
"Recall the decision boundary is given by $\\hat{p}=0.5$ or, equivalently, $\\theta^{\\rm T} x=0$."
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 11,
|
|
"metadata": {
|
|
"execution": {
|
|
"iopub.execute_input": "2024-01-10T00:19:58.559105Z",
|
|
"iopub.status.busy": "2024-01-10T00:19:58.558652Z",
|
|
"iopub.status.idle": "2024-01-10T00:19:58.565651Z",
|
|
"shell.execute_reply": "2024-01-10T00:19:58.565067Z"
|
|
}
|
|
},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"array([1.66066066])"
|
|
]
|
|
},
|
|
"execution_count": 11,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"decision_boundary = X_1d_new[y_1d_proba[:, 1] >= 0.5][0]\n",
|
|
"decision_boundary"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {
|
|
"slideshow": {
|
|
"slide_type": "subslide"
|
|
}
|
|
},
|
|
"source": [
|
|
"#### Updating plot with decision boundary and training data"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 12,
|
|
"metadata": {
|
|
"execution": {
|
|
"iopub.execute_input": "2024-01-10T00:19:58.568895Z",
|
|
"iopub.status.busy": "2024-01-10T00:19:58.568352Z",
|
|
"iopub.status.idle": "2024-01-10T00:19:58.801548Z",
|
|
"shell.execute_reply": "2024-01-10T00:19:58.800895Z"
|
|
}
|
|
},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"image/png": "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",
|
|
"text/plain": [
|
|
"<Figure size 800x400 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"plt.figure(figsize=(8, 4))\n",
|
|
"plt.plot(X_1d[y==0], y[y==0], \"bs\")\n",
|
|
"plt.plot(X_1d[y==1], y[y==1], \"g^\")\n",
|
|
"plt.plot([decision_boundary, decision_boundary], [-1, 2], \"k:\", linewidth=2)\n",
|
|
"plt.plot(X_1d_new, y_1d_proba[:, 1], \"g-\", linewidth=2, label=\"Iris-Virginica\")\n",
|
|
"plt.plot(X_1d_new, y_1d_proba[:, 0], \"b--\", linewidth=2, label=\"Not Iris-Virginica\")\n",
|
|
"plt.text(decision_boundary+0.02, 0.15, \"Decision boundary\", fontsize=14, color=\"k\", ha=\"center\")\n",
|
|
"plt.arrow(decision_boundary[0], 0.08, -0.3, 0, head_width=0.05, head_length=0.1, fc='b', ec='b')\n",
|
|
"plt.arrow(decision_boundary[0], 0.92, 0.3, 0, head_width=0.05, head_length=0.1, fc='g', ec='g')\n",
|
|
"plt.xlabel(\"Petal width (cm)\", fontsize=14)\n",
|
|
"plt.ylabel(\"Probability\", fontsize=14)\n",
|
|
"plt.legend(loc=\"center left\", fontsize=14)\n",
|
|
"plt.axis([0, 3, -0.02, 1.02]);"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {
|
|
"slideshow": {
|
|
"slide_type": "subslide"
|
|
}
|
|
},
|
|
"source": [
|
|
"Predictions depend on what side of decision boundary fall."
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 13,
|
|
"metadata": {
|
|
"execution": {
|
|
"iopub.execute_input": "2024-01-10T00:19:58.804779Z",
|
|
"iopub.status.busy": "2024-01-10T00:19:58.804533Z",
|
|
"iopub.status.idle": "2024-01-10T00:19:58.811352Z",
|
|
"shell.execute_reply": "2024-01-10T00:19:58.810755Z"
|
|
}
|
|
},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"array([1, 0])"
|
|
]
|
|
},
|
|
"execution_count": 13,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"log_reg.predict([[1.7], [1.5]])"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"**Exercises:** *You can now complete Exercise 1 in the exercises associated with this lecture.*"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {
|
|
"slideshow": {
|
|
"slide_type": "subslide"
|
|
}
|
|
},
|
|
"source": [
|
|
"### Extending to two features"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 14,
|
|
"metadata": {
|
|
"execution": {
|
|
"iopub.execute_input": "2024-01-10T00:19:58.814372Z",
|
|
"iopub.status.busy": "2024-01-10T00:19:58.813922Z",
|
|
"iopub.status.idle": "2024-01-10T00:19:58.827801Z",
|
|
"shell.execute_reply": "2024-01-10T00:19:58.827253Z"
|
|
}
|
|
},
|
|
"outputs": [],
|
|
"source": [
|
|
"from sklearn.linear_model import LogisticRegression\n",
|
|
"\n",
|
|
"X = iris[\"data\"][:, (2, 3)] # petal length, petal width\n",
|
|
"y = (iris[\"target\"] == 2).astype(int) # 1 if Iris-Virginica, else 0\n",
|
|
" \n",
|
|
"C = 1000 # inverse regularization (smaller values correspond to stronger regularization)\n",
|
|
"log_reg = LogisticRegression(C=C, random_state=42)\n",
|
|
"log_reg.fit(X, y)\n",
|
|
"\n",
|
|
"x0, x1 = np.meshgrid(\n",
|
|
" np.linspace(2.9, 7, 500).reshape(-1, 1),\n",
|
|
" np.linspace(0.8, 2.7, 200).reshape(-1, 1),\n",
|
|
" )\n",
|
|
"X_new = np.c_[x0.ravel(), x1.ravel()]\n",
|
|
"\n",
|
|
"y_proba = log_reg.predict_proba(X_new)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 15,
|
|
"metadata": {
|
|
"execution": {
|
|
"iopub.execute_input": "2024-01-10T00:19:58.830821Z",
|
|
"iopub.status.busy": "2024-01-10T00:19:58.830145Z",
|
|
"iopub.status.idle": "2024-01-10T00:19:59.072590Z",
|
|
"shell.execute_reply": "2024-01-10T00:19:59.071979Z"
|
|
}
|
|
},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"image/png": "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",
|
|
"text/plain": [
|
|
"<Figure size 1000x500 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"plt.figure(figsize=(10, 5))\n",
|
|
"plt.plot(X[y==0, 0], X[y==0, 1], \"bs\")\n",
|
|
"plt.plot(X[y==1, 0], X[y==1, 1], \"g^\")\n",
|
|
"\n",
|
|
"zz = y_proba[:, 1].reshape(x0.shape)\n",
|
|
"contour = plt.contour(x0, x1, zz, cmap=plt.cm.brg)\n",
|
|
"\n",
|
|
"# Solve theta^T x = 0 to determine boundary\n",
|
|
"left_right = np.array([2.9, 7]) \n",
|
|
"boundary = -(log_reg.coef_[0][0] * left_right + log_reg.intercept_[0]) / log_reg.coef_[0][1]\n",
|
|
"\n",
|
|
"plt.clabel(contour, inline=1, fontsize=12)\n",
|
|
"plt.plot(left_right, boundary, \"k--\", linewidth=3)\n",
|
|
"plt.text(3.5, 1.5, \"Not Iris-Virginica\", fontsize=14, color=\"b\", ha=\"center\")\n",
|
|
"plt.text(6.5, 2.3, \"Iris-Virginica\", fontsize=14, color=\"g\", ha=\"center\")\n",
|
|
"plt.xlabel(\"Petal length\", fontsize=14)\n",
|
|
"plt.ylabel(\"Petal width\", fontsize=14)\n",
|
|
"plt.axis([2.9, 7, 0.8, 2.7]);"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"**Exercises:** *You can now complete Exercise 2 in the exercises associated with this lecture.*"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {
|
|
"slideshow": {
|
|
"slide_type": "slide"
|
|
}
|
|
},
|
|
"source": [
|
|
"## Softmax regression\n",
|
|
"\n",
|
|
"Can generalise logistic regression to classify multiple classes."
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {
|
|
"slideshow": {
|
|
"slide_type": "subslide"
|
|
}
|
|
},
|
|
"source": [
|
|
"### Softmax score\n",
|
|
"\n",
|
|
"Consider the softmax score function for class $k$:\n",
|
|
"\n",
|
|
"$$s_k(x) = \\left(\\theta^{(k)}\\right)^{\\rm T} x .$$"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {
|
|
"slideshow": {
|
|
"slide_type": "fragment"
|
|
}
|
|
},
|
|
"source": [
|
|
"**Important note**: each class $k$ has its own score and set of parameters $\\theta^{(k)}$, for $K$ classes (i.e. $k=1,\\ldots,K$).\n",
|
|
"\n",
|
|
"Define:\n",
|
|
"- Parameter matrix: $\\Theta_{K \\times n} = [ \\theta^{(1)},\\ \\theta^{(2)},\\ ...,\\ \\theta^{(K)}]^{\\rm T}$."
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {
|
|
"slideshow": {
|
|
"slide_type": "subslide"
|
|
}
|
|
},
|
|
"source": [
|
|
"### Softmax function\n",
|
|
"\n",
|
|
"Predictions are then given by the softmax function $\\sigma_k(s(x))$ for each $k$:\n",
|
|
"\n",
|
|
"$$ \n",
|
|
"\\hat{p}_k = \\sigma_k(s(x)) = \\frac{\\exp\\left(s_k(x)\\right)}{\\sum_{k^\\prime=1}^K \\exp\\left(s_{k^\\prime}(x)\\right)}\n",
|
|
".\n",
|
|
"$$"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {
|
|
"slideshow": {
|
|
"slide_type": "fragment"
|
|
}
|
|
},
|
|
"source": [
|
|
"Normalised such that\n",
|
|
"- $\\sum_k \\hat{p}_k = 1$\n",
|
|
"- $0 \\leq \\hat{p}_k \\leq 1$"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {
|
|
"slideshow": {
|
|
"slide_type": "subslide"
|
|
}
|
|
},
|
|
"source": [
|
|
"### Predictions\n",
|
|
"\n",
|
|
"Can then make class predictions based on which class has the highest predicted probability, i.e.\n",
|
|
"\n",
|
|
"$$ \n",
|
|
"\\hat{y}\n",
|
|
"= \\arg\\max_k \\hat{p}_k \n",
|
|
"= \\arg\\max_k s_k(x)\n",
|
|
"= \\arg\\max_k \\left(\\theta^{(k)}\\right)^{\\rm T} x\n",
|
|
",\n",
|
|
"$$\n",
|
|
"\n",
|
|
"where we recall \n",
|
|
"$\\hat{p}_k = \\sigma_k(s(x)) = \\frac{\\exp\\left(s_k(x)\\right)}{\\sum_{k^\\prime=1}^K \\exp\\left(s_{k^\\prime}(x)\\right)}\n",
|
|
"\\quad \\text{and} \\quad \n",
|
|
"s_k(x) = \\left(\\theta^{(k)}\\right)^{\\rm T} x.$"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {
|
|
"slideshow": {
|
|
"slide_type": "subslide"
|
|
}
|
|
},
|
|
"source": [
|
|
"### Cost function\n",
|
|
"\n",
|
|
"Generalization of the logistic regression cost function is given by the *cross-entropy* (measure of similarity of probability distributions):\n",
|
|
"\n",
|
|
"$$\n",
|
|
"C(\\Theta) = -\\frac{1}{m} \\sum_{i=1}^m \\sum_{k=1}^K y_k^{(i)} \\log \\left(\\hat{p}_k^{(i)}\\right)\n",
|
|
".\n",
|
|
"$$"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {
|
|
"slideshow": {
|
|
"slide_type": "fragment"
|
|
}
|
|
},
|
|
"source": [
|
|
"For the case $K=2$, the cost functions reduces to the standard cost function for logistic regression."
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {
|
|
"slideshow": {
|
|
"slide_type": "subslide"
|
|
}
|
|
},
|
|
"source": [
|
|
"### Minimising the cost function\n",
|
|
"\n",
|
|
"Can solve by gradient descent.\n",
|
|
"\n",
|
|
"Derivative of cost function given by\n",
|
|
"\n",
|
|
"$$\n",
|
|
"\\frac{\\partial C}{\\partial \\theta^{(k)}}\n",
|
|
"= \\frac{1}{m} \\sum_{i=1}^m \\left(\\hat{p}_k^{(i)} - y_k^{(i)} \\right) x^{(i)} .\n",
|
|
"$$"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {
|
|
"slideshow": {
|
|
"slide_type": "subslide"
|
|
}
|
|
},
|
|
"source": [
|
|
"### Example of softmax regression"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 16,
|
|
"metadata": {
|
|
"execution": {
|
|
"iopub.execute_input": "2024-01-10T00:19:59.076992Z",
|
|
"iopub.status.busy": "2024-01-10T00:19:59.076312Z",
|
|
"iopub.status.idle": "2024-01-10T00:19:59.088101Z",
|
|
"shell.execute_reply": "2024-01-10T00:19:59.087548Z"
|
|
}
|
|
},
|
|
"outputs": [],
|
|
"source": [
|
|
"X = iris[\"data\"][:, (2, 3)] # petal length, petal width\n",
|
|
"y = iris[\"target\"] # consider all three target classes\n",
|
|
"\n",
|
|
"C = 10\n",
|
|
"softmax_reg = LogisticRegression(multi_class=\"multinomial\", solver=\"lbfgs\", C=C, random_state=42)\n",
|
|
"softmax_reg.fit(X, y);"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 17,
|
|
"metadata": {
|
|
"execution": {
|
|
"iopub.execute_input": "2024-01-10T00:19:59.091075Z",
|
|
"iopub.status.busy": "2024-01-10T00:19:59.090368Z",
|
|
"iopub.status.idle": "2024-01-10T00:19:59.115277Z",
|
|
"shell.execute_reply": "2024-01-10T00:19:59.114655Z"
|
|
}
|
|
},
|
|
"outputs": [],
|
|
"source": [
|
|
"x0, x1 = np.meshgrid(\n",
|
|
" np.linspace(0, 8, 500).reshape(-1, 1),\n",
|
|
" np.linspace(0, 3.5, 200).reshape(-1, 1),\n",
|
|
" )\n",
|
|
"X_new = np.c_[x0.ravel(), x1.ravel()]\n",
|
|
"\n",
|
|
"y_proba = softmax_reg.predict_proba(X_new)\n",
|
|
"y_predict = softmax_reg.predict(X_new)\n",
|
|
"\n",
|
|
"# Select contours to plot\n",
|
|
"# zz1 = y_proba[:, 0].reshape(x0.shape)\n",
|
|
"zz1 = y_proba[:, 1].reshape(x0.shape)\n",
|
|
"# zz1 = y_proba[:, 2].reshape(x0.shape)\n",
|
|
"zz = y_predict.reshape(x0.shape)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 18,
|
|
"metadata": {
|
|
"execution": {
|
|
"iopub.execute_input": "2024-01-10T00:19:59.118315Z",
|
|
"iopub.status.busy": "2024-01-10T00:19:59.117863Z",
|
|
"iopub.status.idle": "2024-01-10T00:19:59.387990Z",
|
|
"shell.execute_reply": "2024-01-10T00:19:59.387264Z"
|
|
}
|
|
},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"image/png": "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",
|
|
"text/plain": [
|
|
"<Figure size 1000x500 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"plt.figure(figsize=(10, 5))\n",
|
|
"plt.plot(X[y==2, 0], X[y==2, 1], \"g^\", label=\"Iris-Virginica\")\n",
|
|
"plt.plot(X[y==1, 0], X[y==1, 1], \"bs\", label=\"Iris-Versicolor\")\n",
|
|
"plt.plot(X[y==0, 0], X[y==0, 1], \"yo\", label=\"Iris-Setosa\")\n",
|
|
"\n",
|
|
"from matplotlib.colors import ListedColormap\n",
|
|
"custom_cmap = ListedColormap(['#fafab0','#9898ff','#a0faa0'])\n",
|
|
"\n",
|
|
"plt.contourf(x0, x1, zz, cmap=custom_cmap)\n",
|
|
"contour = plt.contour(x0, x1, zz1, cmap=plt.cm.brg)\n",
|
|
"plt.clabel(contour, inline=1, fontsize=12)\n",
|
|
"plt.xlabel(\"Petal length\", fontsize=14)\n",
|
|
"plt.ylabel(\"Petal width\", fontsize=14)\n",
|
|
"plt.legend(loc=\"center left\", fontsize=14)\n",
|
|
"plt.axis([0, 7, 0, 3.5]);"
|
|
]
|
|
}
|
|
],
|
|
"metadata": {
|
|
"celltoolbar": "Tags",
|
|
"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": "3.13.1"
|
|
}
|
|
},
|
|
"nbformat": 4,
|
|
"nbformat_minor": 4
|
|
}
|