2025-02-22 19:17:44 +00:00

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{
"cells": [
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"# Lecture 9: Support vector machines (SVMs)"
]
},
{
"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/1t9EbYLj41BV5KnTU-zFIVM-K87yatl5e)"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"execution": {
"iopub.execute_input": "2024-01-10T00:20:07.514586Z",
"iopub.status.busy": "2024-01-10T00:20:07.514123Z",
"iopub.status.idle": "2024-01-10T00:20:07.521951Z",
"shell.execute_reply": "2024-01-10T00:20:07.521418Z"
},
"slideshow": {
"slide_type": "skip"
}
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Last executed: 2024-01-10 00:20:07\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": [
"## Large margin classification"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"### Logistic regression with Hinge loss\n",
"\n",
"Recall cost function for logistic regression, with $\\ell_2$ regularisation, is given by\n",
"\n",
"\\begin{align*}\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",
"\\frac{\\lambda}{2m}\n",
"\\sum_{j=1}^n \\theta_j^2,\n",
"\\end{align*}\n",
"\n",
"where \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": [
"Recall, the bias $\\theta_0$ is not regularised, i.e. sum over $j$ starts at 1."
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"#### Plot sigmoid"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"execution": {
"iopub.execute_input": "2024-01-10T00:20:07.563118Z",
"iopub.status.busy": "2024-01-10T00:20:07.562607Z",
"iopub.status.idle": "2024-01-10T00:20:07.972568Z",
"shell.execute_reply": "2024-01-10T00:20:07.971878Z"
}
},
"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": "2024-01-10T00:20:07.976305Z",
"iopub.status.busy": "2024-01-10T00:20:07.975558Z",
"iopub.status.idle": "2024-01-10T00:20:08.219979Z",
"shell.execute_reply": "2024-01-10T00:20:08.219258Z"
}
},
"outputs": [
{
"data": {
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9ERHxM06nuTv9jz/MbetW96W3E4fq1YPWraFlS2jRwn3ZooUZRs9wcjYpgl4yKXMbNmxgwIABHidQOJvAwEDatWsHwPLlywG49NJLi+x/8OBBjzBalLzHzNOsWTOioqJISkriq6++UiD9y6xZs1i5ciUAmzZtcrWtWLECgMsvv5wRI0ZYVZ6IiFeSk2HTJve2eTNs2WLugi+u2rXh3HPhnHPMrXVrc2vVyjxuU8qWAqmUqV27dhEbG+sKi3379mXw4MG0aNGCw4cP89577/HJJ5+4+l977bVUr16dyMhIatSowf79+0lISADOPEGpTp06bNq0ie3bt7vWJ33zzTc9TtoA0KRJkwL37dKlC59//jk//PBDaX/dSmPlypUF1mf9+eef+fnnn123FUhFxNc4HOYxnevXe25JScW7f0CAObrZti2cf747gJ57rnmcpy/ORq+sFEilzBiGwd133+0Ko++++y7//Oc/Pfpcd9113HnnnSxYsACA+++/n379+rl+/ssvv7iuX3zxxUU+V40aNWjXrh3r1693td1www20atXqrHV27NiRzz//nAMHDpCcnExkZGSxfr8zLT1VXLNnz+aee+4p9eOUtTlz5miSl4j4NIfDPK7z999h7Vrzcv364o16BgSYI5vt2plb27bmds45Op7TVyiQSplZuHAhq1evBswllv4eRvOMGzfOFUhXrFjhEUj379/vut6wYcOzPmdeIA0PD6dly5bFqjP/4+7evbvYgVRERCqGYZhrdq5eDb/+Cr/9BnZ78Y71rFsXLr4YLroILrzQHUBr1iz/uqXkFEilzEybNg2AevXq8cwzzxTZL//IZ/4ACnDkyBHX9TrFOEgnL5BedNFFxR7BrFu3rut6UnH36+A+trI0CjuEQESkqsvIgDVrYNUqM4D++qt5HOjZtGgBl1wCHTq4t8aNtavdHymQ/qVTp+Ifc+KvoqLMXRzlISkpyTUpZuDAgdhstiL7BgcHExAQgGEYBdYYPXbsmOt6cQLphg0bgDPv3v+7/I+b4cXUyr9PkBIRkZI5eBB+/hlWrjQv1683d8mfSfPm0LGj+e91p05mEM03viB+ToH0L0lJ5nljpWR+/PFH1/Vrr732jH2Tk5Mx/lpNOCYmxuNnoaGhruunTp064zqhBw4ccB2v2qFDh2LXmn/5qerVqxf7fiIi4j3DMM9ctGIF/PAD/PijeUajM6ldG7p0ga5d4dJLzev161dAsWIZBdK/REVZXUH5K8/fcfPmza7r7du3P2Pf3/MN0/59Jn2DBg1c148dO3bGQJp/QpM3gTT/KOzZFtLPL//vWFJNmjTx6jlFRPxRQgJ8/70ZQlesOPsC8xdcAJddBt27mwG0TZvKcTpMKT4F0r+U167sqiIxMdF1vVGjRmfs++WXXwLm2qN/X6YpfyA9fvw4zZo1K/Jx8gJp9erVvdqdfvz4cdf1pk2bFvt+Z1qkv7iKM8u+LGbzVyZGSc/NJyIVJiUFli+H774zt927i+4bGmqOeF5+uRlCu3XTup6iQCplxOl0uq5nZ2dTrYjTVBw/fpz58+cD5jJNf59Jnz/07dix44wjn3nHj55//vkEBwcXu9YdO3YAEBISQuvWrYt9v4qiACYivi4nB375BZYtg2+/NWfAF/XVVaOGOfLZowf07GmG0ZCQCi1X/IACqZSJ/MHy999/p0ePHoX2mzBhAqmpqQA8+uijBX7eqVMnQkNDycrK4rfffuO2224r8jm3b98OwHnnnedVrb/99htgToTy5hhSBUURqcr27jUD6LJlEB8PJ08W3i842AygV18NvXpB585mm8iZKJBKmbj88st59dVXAZg8eTJXXnllgV3Pr7zyCu+++y4Aw4YN44orrijwOMHBwXTt2pUffviBNWvWnPE509LSAMjNzS12ndnZ2WzcuBE4++QrqVj33nsvDoeD999/3+pSRARz1vvq1fD55/DFF+Z534ty8cUQG2uG0Msv15qf4j0FUikTffr0oU2bNvz5559888033HDDDYwZM4ZGjRqxe/duZsyYwbfffgtAjx49ePvtt4t8rH79+rkC6cmTJ4uc2NSyZUsSEhL44osvmDp1Kt26dSPkr/1AzZo1K/R+P/74oyvA/uMf/yjtry1laM2aNYwcOdLqMkSqtLQ0+OYb+N//YOlS89jQwjRoAL17w3XXwbXXmrdFSiPA8IP9kGlpaURERJCamkp4eHix75eVlcWePXto0aKFx3JCUj42bdpEr169OHr0aJF9hg8fztSpU8/4fhw9epTGjRuTnZ3N3LlzGTx4cKH9vvjiC/r27VvorvS1a9dyySWXFGgfOnQoc+bM4YILLiiTWfNSellZWdSsWdPjOOR//OMffPrpp14/jr/8vWdkZLjW6k1PT6emhpPEQkeOmKOgn35qTkjKySnYJzDQnP1+/fVmCL3kEs2Cl4JKmtcA9HGSMnPhhReyZcsWxo8fz3nnnUdYWBhhYWGcc845jBw5krVr1zJr1qyzhoV69epx8803A7gmQBXmpptu4quvvuKaa66hTp06rkMEipp1n5WV5Qo5999/f0l/TSljwcHBfPfdd4A54ezQoUPMmTPH2qJEKrkDB2DqVLjqKnNJwBEjzBHR/GHUZoNbboE5c8y1un/+GSZONBelVxiVsqYRUvFJv/76K5deeilBQUHs2rXrjMs/FddHH33EoEGDqFevHgkJCWc8m5Qv+Oijj/jpp59Yu3YtmzZtIicnp1jLRvmj+fPn88QTT5CQkFDix/Cnv3eNkIoVkpJg0SJYsMCcIV+YJk2gXz/o29ecFa/Z8OINjZBKpdO1a1duvvlmHA4HcXFxpX48p9PJ5MmTAfjXv/7l82EUYOLEicyYMYO9e/eedW1XX/T4448TEBBwxi3Pxo0bz3pCBRHxXkoKzJhhjoQ2bgwPPlgwjLZuDY89Zp4/PjHRHDm99lqFUalYCqTisyZPnky1atWYPXs2+/fvL9VjLVq0iK1bt9K0aVMefPDBMqqwfM2aNYuEhASOHDnCqFGjyuQx77nnngpbeP/hhx9m69atZ9zybNiwQYFUpIxkZsL//R/ceCM0agQjR5qL1uc7TJu2bWHSJNi4EXbsgBdeMNcH1Xk5xCqaZS8+69xzz+X9999n165dJCYm0qRJkxI/lsPhYNKkSVx11VXUqFGjDKssP7GxsVaXUIDD4WDu3LnMnTuX9evXk52dzQUXXMCTTz7pOu43T4MGDTzOvHUmmzZtYvjw4eVRskiV4HSa54n/8EP45JPC1wht3RruuANuvx28OLmdSIVQIBWfNmjQoDJ5nIEDB5bJ41RlWVlZ3HTTTcTHx3PxxRczdOhQsrOz+eSTT7jlllv46KOPuOuuu0r02Lm5uWzdupVDhw5hs9mKXOpLRDz9+SfMng0ffVT4+eJjYswQescd5lqhGgEVX6Vd9iJSLMOGDSM+Pp4333yTdevWMWXKFN555x02btxI/fr1mThxYokf+z//+Q9vv/020dHRZ1yjVkQgIwPmzoUrr4RzzoG4OM8wWqsWDBtm7qZPSICXXjKXaVIYFV+mEVIROav4+Hj+7//+j5EjR/LAAw94/KxRo0bccMMNfPDBBxw5cqTYu+nzGzFiBCNGjCirckUqHcOA336D994zjw/9+y75oCBzofrBg80Z8n5yZJKIiwKpSCXVvHlz9u7dW+jPCpvYdKYlpaZOnQqYx5A+88wzBX7+x1/nFMy/uL2IlF56OsybB9Onw/r1BX9+3nkwfDgMGgSRkRVenkiZUSAVqaTGjRvHiRMnPNo+++wzNmzYwKRJkwr079ChQ5GPlbdw/axZs4rsExISUqLRUREpaPNmeOcdc5LS30dDa9Y0JyYNHw7dumlXvFQOCqQildS4ceMKtCUkJLBhw4ZCRzmLcuLECdLT0+nXrx+fffZZmdUnIp5yc83Td06dCitXFvx5ly7wz3/CbbeZx4mKVCYKpCJyRnknc0tJSbG4EpHKKW/x+rffNk/pmV9YGAwcCKNGQceO1tQnUhE0y15EzqhOnTq0adOG1atX8/333xf4eU5ODqtWrbKgMhH/tmmTeQ75mBh48knPMNq2Lbz1Fhw8CDNnKoxK5acRUhEfNWvWLFb+td9u06ZNrrYVK1YAcPnll1fYzPSXXnqJW265hWuuuYYbbriB888/n8zMTPbv38/KlSu57rrr6NatW4XUIuLPDAO+/hpefhn+/v+7gABzhvzYsdCzp44NlapFgVTER61cuZK5c+d6tP3888/8/PPPrtsVFUj79+/P8uXLeemll1i1ahXLli2jbt26xMTEMGzYsCJn54uIKScHFiyAV14xR0bzCw83JyiNGQMtW1pTn4jVAoy8A8R8WFpaGhEREaSmphIeHl7s+2VlZbFnzx5atGhBaGhoOVYoIlbzp7/3jIwMbDYbAOnp6dSsWdPiiqS8pKWZu9xff73g8aGtW5ujoUOGaJKSVA4lzWugEVIREZEyl5ICU6aYM+ZTUz1/1q0b/Otf5u75oCBLyhPxOQqkIiIiZeTQIXO3/PTpkJnp+bO+feHRR+Gyy6ypTcSXKZCKiIiUUt45499/H7Kz3e3Vq5un83zkEfOsSiJSOAVSERGREkpIgP/8B+bMgdOn3e2hoXDvveau+ZgYq6oT8R8KpCIiIl7atw8mT4b33jPPsJTHZoP774fx43VueRFvlGhh/GnTptG8eXNCQ0Pp2rUra9asOWP/KVOmcO6551KjRg1iYmJ46KGHyMrKKlHBIiIiVjl4EB54wJwhP326O4xGRMDTT8PevfDiiwqjIt7yeoR04cKFjB8/nunTp9O1a1emTJlC79692b59Ow0bNizQf/78+Tz++OO8//77dO/enR07dnDPPfcQEBDAa6+9Via/hIiISHlKSYG4OPP0nvnHU2rVgnHj4KGHoE4dy8oT8Xtej5C+9tpr3HvvvQwdOpS2bdsyffp0wsLCeP/99wvt/8svv3DZZZcxcOBAmjdvzrXXXsudd9551lHVsuQHS62KSCnp71zKQ3o6PP88tGoFr73mDqNhYfD447BnDzz3nMKoSGl5FUhzcnJYu3YtsbGx7gcIDCQ2NrbIc1l3796dtWvXugLo7t27Wbp0KTfccEORz5OdnU1aWprHVhKBgeav53Q6S3R/EfEfeX/neX/3IqWRkwPTppm75p96ylzgHszJSo88YgbRuDioV8/aOkUqC6922aekpOBwOIj828ExkZGRbNu2rdD7DBw4kJSUFC6//HIMw+D06dOMGjWKJ554osjniYuL49lnn/WmtEJVq1aNwMBAsrKydCYUkUouKyuLwMBAqlXTXE0pOacTPv4YnnwSdu92twcFmaf3fPppaNzYuvpEKqtyH0pYsWIFkydP5u2332bdunV8+umnfPnll/z73/8u8j4TJkwgNTXVte3bt69Ezx0YGEhYWBjp6eklLV9E/ER6ejphYWEaIZUSW7kSLr0U7rzTM4wOGABbtsC77yqMipQXr4YS6tevT1BQEMnJyR7tycnJREVFFXqfp556ikGDBjFixAgALrzwQjIyMvjnP//Jk08+Weg/HiEhIYSEhHhTWpHCw8M5ePAgx48fp44O8hGplI4fP05mZibR0dFWlyJ+aOdOeOwx+PRTz/arroIXXoDOna2pS6Qq8SqQBgcH07FjR+Lj4+nfvz9gHrcVHx/PmDFjCr1PZmZmgdAZ9NfJeytiEkJERASnTp0iKSmJjIwMIiIiqFatGgEBAeX+3CJSfvIOAUpNTeXkyZPUqVOHiIgIq8sSP3LsmDlhaepUz7VE27UzT/957bWgfypEKobXB1uNHz+eIUOG0KlTJ7p06cKUKVPIyMhg6NChAAwePJjGjRsTFxcHQJ8+fXjttde4+OKL6dq1Kzt37uSpp56iT58+rmBa3iIjIwkODubEiRPs37+/Qp5TRCpGSEgIkZGR2gMixXb6tLmG6NNPw/Hj7vbISPj3v2HYMPOYURGpOF4H0ttvv50jR47w9NNPk5SURIcOHVi2bJlrolNiYqLHiOjEiRMJCAhg4sSJHDhwgAYNGtCnTx/+85//lN1vcRYBAQHUrVuXOnXqcPr0aRwOR4U9t4iUn6CgIO3xEK8sXw4PPgibN7vbatSAhx+GRx811xUVkYoXYPjB4n1paWlERESQmppKeHi41eWIiJRKRkYGNpsNMCdjaRWQ8rd3r3le+UWLPNvvvts8BajONy9SeqXJa1ofRUREKq1Tp+Dll83JSadOuds7doS33oJu3ayrTUTcFEhFRKRSWroUxowxF7HP06CBGU7vuQe0QpiI79Cfo4iIVCr79sHNN8ONN7rDaLVq5vnmd+wwJy0pjIr4Fo2QiohIpZCbC1OmwLPPQkaGu71XL3Npp7ZtLStNRM5CgVRERPzeypUwapR5RqU8kZHw6qswcKDWExXxddppISIifuvECRg5Eq64wh1GAwJg9GjYtg3uukthVMQfaIRURET8jmHAf/8LDzwASUnu9k6d4J13zEsR8R8aIRUREb+ybx/07w+33uoOozYbvPkmrF6tMCrijzRCKiIifsHpNEc/H38c0tPd7X36wLRpWtxexJ8pkIqIiM/7808YPhx++sndFhlpLm4/YICOExXxd9plLyIiPsvhgNdeg4su8gyj994LW7eau+0VRkX8n0ZIRUTEJ23bBkOHmseF5mnZEmbNMtcWFZHKQyOkIiLiU06fhhdfhA4d3GE0IADGjoWNGxVGRSojjZCKiIjP2LEDhgzxHBVt0wbefx8uv9y6ukSkfGmEVERELOd0mhOU8o+KBgbCI4/Ahg0KoyKVnUZIRUTEUomJ5rGi33/vbmvTBubOhW7drKtLRCqORkhFRMQShgFz5sCFF3qG0QcegPXrFUZFqhKNkIqISIU7csRcumnJEndbTAzMng1XX21dXSJiDY2QiohIhVq2zFxXNH8YHTIENm1SGBWpqhRIRUSkQpw6BQ8+CNdf7z4Hff36sHixues+IsLS8kTEQtplLyIi5W79erjrLvjjD3fbddeZu+ijoiwrS0R8hEZIRUSk3Did8Oqr0KWLO4yGhppLPC1dqjAqIiaNkIqISLlISjKPDf3mG3db+/Ywfz60bWtdXSLiezRCKiIiZe7rr83wmT+MPvII/PqrwqiIFKQRUhERKTM5OfDkk/DKK+62qCj44AO45hrr6hIR36ZAKiIiZeLPP+HOO2HtWnfb9debM+gbNrSsLBHxA9plLyIipTZ/PlxyiTuMVq8Or78OX3yhMCoiZ6cRUhERKbFTp2DsWJg5093Wpg0sWGAGVBGR4lAgFRGREtm2DW67zTzDUp7Bg2HaNLDZrKtLRPyPdtmLiIjXPvoIOnVyh9EaNcxF7ufOVRgVEe9phFRERIotM9M8/ed777nb2raFRYu0nJOIlJwCqYiIFMuOHTBggOcu+qFDzbMu1axpXV0i4v+0y15ERM5q0SLPXfRhYebaou+/rzAqIqWnEVIRESlSTg48+ii88Ya77fzz4b//NS9FRMqCAqmIiBQqMRFuvx1Wr3a33XUXTJ+uiUsiUra0y15ERAr4+mtzHdG8MBocDO+8Ax9+qDAqImVPgVRERFycTvj3v81Tfh49arY1bw6//AKjRkFAgKXliUglpV32IiICwPHjMGgQfPmlu+2mm8zJS3XqWFeXiFR+GiEVERE2bDBn0eeF0YAA+M9/YMkShVERKX8aIRURqeI+/BBGjjTPSw9Qrx7Mnw/XXmttXSJSdZRohHTatGk0b96c0NBQunbtypo1a87Y/8SJE4wePZpGjRoREhLCOeecw9KlS0tUsIiIlI2cHBgzxjz/fF4Y7dQJ1q5VGBWRiuX1COnChQsZP34806dPp2vXrkyZMoXevXuzfft2GjZsWKB/Tk4O11xzDQ0bNuSTTz6hcePG7N27l9q1a5dF/SIiUgKHDsGtt8LPP7vb7r0X3nwTQkOtq0tEqqYAwzAMb+7QtWtXOnfuzNSpUwFwOp3ExMTwwAMP8PjjjxfoP336dF5++WW2bdtG9erVS1RkWloaERERpKamEh4eXqLHEBHxFRkZGdj+WjspPT2dmhV8qqNVq+CWW8xQChASAtOmwfDhFVqGiFQypclrXu2yz8nJYe3atcTGxrofIDCQ2NhYVq1aVeh9Pv/8c7p168bo0aOJjIykXbt2TJ48GYfDUeTzZGdnk5aW5rGJiEjpGAa8+y706OEOozExsHKlwqiIWMurQJqSkoLD4SAyMtKjPTIykqSkpELvs3v3bj755BMcDgdLly7lqaee4tVXX+X5558v8nni4uKIiIhwbTExMd6UKSIif5OVZe6SHzUKcnPNtp494fffzeNGRUSsVO7LPjmdTho2bMiMGTPo2LEjt99+O08++STTp08v8j4TJkwgNTXVte3bt6+8yxQRqbT27zdHRd97z9320EPw7bdQyKH/IiIVzqtJTfXr1ycoKIjk5GSP9uTkZKKiogq9T6NGjahevTpBQUGutvPPP5+kpCRycnIIDg4ucJ+QkBBCQkK8KU1ERArx88/m8aJ5X9s1asCsWTBwoLV1iYjk59UIaXBwMB07diQ+Pt7V5nQ6iY+Pp1u3boXe57LLLmPnzp04nU5X244dO2jUqFGhYVRERMrGu+9Cr17uMJp3ClCFURHxNV7vsh8/fjwzZ85k7ty5bN26lfvuu4+MjAyGDh0KwODBg5kwYYKr/3333cexY8cYO3YsO3bs4Msvv2Ty5MmMHj267H4LERFxyckxjxXNf7zoVVfBb79Bhw6WliYiUiiv1yG9/fbbOXLkCE8//TRJSUl06NCBZcuWuSY6JSYmEhjozrkxMTF8/fXXPPTQQ1x00UU0btyYsWPH8thjj5XdbyEiIgAkJcGAAZ7ri44bBy+/DNV0bj4R8VFer0NqBa1DKiKVSXmtQ/r779C/Pxw4YN4OCYEZM8wzMYmIlLfS5DX9f1lEpBKYN89cSzQ727zdpAksXqwlnUTEP5T7sk8iIlJ+HA549FG4+253GL3sMq0vKiL+RSOkIiJ+6sQJc8b8V1+52+69F6ZOBS1iIiL+RIFURMQPbd8OffvCjh3m7aAgeOMNuP9+CAiwtjYREW8pkIqI+JmvvoI774TUVPN2vXrwySfmqUBFRPyRjiEVEfEThgGvvgo33eQOoxdeaK4vqjAqIv5MI6QiIn4gKwtGjoQPPnC33XwzzJ0Lf60gJSLitzRCKiLi4w4dMk8Bmj+MTpoEixYpjIpI5aARUhERH/b3xe7DwsxR0QEDLC1LRKRMaYRURMRHLVgAV1zhDqMxMeYpQRVGRaSyUSAVEfExTidMnGjOpM/KMtu6dzcnL3XoYGlpIiLlQrvsRUR8SHo6DBoEn33mbhs2DN5+2zw3vYhIZaRAKiLiIxISoF8/2LjRvB0YCK+8AuPGabF7EancFEhFRHzAypXwj39ASop5OyICFi6E3r2trUtEpCLoGFIREYu99x5cdZU7jLZpA7/+qjAqIlWHAqmIiGWCePzxYEaMgNxcsyU21gyj555rbWUiIhVJgVRExBLhwP+YOrW6q+XBB83z1NepY11VIiJW8KtjSDMyMqhVqxYBfx3dn5OTQ25uLtWqVSMk3/TTjIwMAGrUqEFgoJm5c3NzycnJISgoiNDQ0BL1zczMxDAMQkNDCQoKAuD06dNkZ2cTGBhIjRo1StT31KlTOJ1OQkJCqFbNfEscDgdZWVle9Q0ICCAsLMzVNysrC4fDQXBwMNWrV/e6r9Pp5NSpUwDUrFnT1Tc7O5vTp09TvXp1goODve5rGAaZmZkAhIWFFXg/velbnPe+LD4nhb2fZfE5yXs/S/s5+fv7WdrPSVHvZ2k/J/nfz9J+Top6P0v6OanI74idOwOA1cD5AFSrBtOmwbBhZt/cXH1H6DvC8/3Ud0TV+o7wtq+vfEfkvRYlYviB1NRUAzAA4/Dhw672559/3gCMESNGePQPCwszAGPPnj2uttdff90AjIEDB3r0rV+/vgEYmzdvdrXNmDHDAIx+/fp59G3WrJkBGGvWrHG1ffTRRwZgxMbGevRt27atARjLly93tS1evNgAjO7du3v07dSpkwEYX3zxhavtm2++MQCjffv2Hn179OhhAMbHH3/salu5cqUBGK1bt/boe8MNNxiAMXv2bFeb3W43ACM6Otqj74ABAwzAmDp1qqttx44dBmBERER49B0yZIgBGC+99JKrbf/+/QZgVKtWzaPv/fffbwDGpEmTXG3Hjx93vZ85OTmu9kceecQAjEceecTVlpOT4+p7/PhxV/ukSZMMwLj//vs9nq9atWoGYOzfv9/V9tJLLxmAMWTIEI++ERERBmDs2LHD1TZ16lQDMAYMGODRNzo62gAMu93uaps9e7YBGDfccINH39atWxuAsXLlSlfbxx9/bABGjx49PPq2b9/eAIxvvvnG1fbFF18YgNGpUyePvt27dzcAY/Hixa625cuXG4DRtm1bj76xsbEGYHz00UeutjVr1hiA0axZM4++/fr1MwBjxowZrrbNmzcbgFG/fn2PvgMHDjQA4/XXX3e17dmzxwCMsLAwj74jRowwAOP55593tR0+fNj1fuY3duxYAzCeeOIJV1t6erqrb3p6uqv9iSeeMABj7NixHo/hL98R331nGHXqOA0wDDCM8PBsY8UKs6++I0z6jnDTd4SpKn1H5PHXHAEYqamphre0y15EpIK8/bY5Uen48bw1nDbz+uu/0KOHpWWJiFguwDAMw+oiziYtLY2IiAgOHjxIVFSUhtq1O06747Q7zq92x6WnZ/PooyHMnJn/KKn/AXeRmrqf8PBwV199R+g7Qt8RVe87orLkiOPHjxMdHU1qaqrre624/CqQluQXFBGx0tGjcOutsHy5u238+Bxee60G4CQ9Pd3jH14REX9VmrymXfYiIuXkjz+gSxd3GA0Ohrlz4bnncgGnpbWJiPgSBVIRkXLw5Zdw6aWwe7d5OzISfvgBBg+2ti4REV+kQCoiUoYMA15+Gfr0gZMnzbaLL4bffjMDqoiIFKRAKiJSRrKy4J574NFHzWAK5vGjP/0EMTGWliYi4tMUSEVEysChQ9CzJ3zwgbvt2Wdh4ULQnCURkTPzqzM1iYj4ot9/h/794cAB83ZYmDl5acAAS8sSEfEbGiEVESmFBQvgiivcYTQmBn7+WWFURMQbCqQiIiXgdMKTT8Kdd5rHjgJ0725OXurQwdLSRET8jnbZi4h46eRJGDQIlixxtw0bZp4aNN/JXkREpJgUSEVEvLBrF/TrB1u2mLcDA+G11+DBByEg4Mz3FRGRwimQiogUU3w83HYbHDtm3q5d25xFf+21lpYlIuL3dAypiMhZGAa8+Sb07u0Oo+efD2vWKIyKiJQFBVIRkTPIzoYRI2DsWHA4zLYbb4TVq6FNG2trExGpLBRIRUSKkJQEvXrB+++72yZMMCczhYdbV5eISGWjY0hFRAqxZg384x9w8KB5u0YNM5jecYe1dYmIVEYaIRUR+Zs5c+DKK91htEkTWLlSYVREpLwokIqI/CU31zxWdOhQ89hRgMsvN08Neskl1tYmIlKZaZe9iAiQkmIu6bR8ubvt/vvh9dchONi6ukREqoISjZBOmzaN5s2bExoaSteuXVmzZk2x7rdgwQICAgLo379/SZ5WRKRcrF8PnTq5w2j16jBzJkybpjAqIlIRvA6kCxcuZPz48UyaNIl169bRvn17evfuzeHDh894v4SEBB555BGuuOKKEhcrIlLW5s0zz0G/d695OyoKVqwwl3oSEZGK4XUgfe2117j33nsZOnQobdu2Zfr06YSFhfF+/nVR/sbhcHDXXXfx7LPP0rJly1IVLCJSFnJz4aGH4O674dQps61LF/N40e7dra1NRKSq8SqQ5uTksHbtWmJjY90PEBhIbGwsq1atKvJ+zz33HA0bNmT48OHFep7s7GzS0tI8NhGRsnL4MFxzDUyZ4m4bPhx++AEaN7asLBGRKsurQJqSkoLD4SAyMtKjPTIykqSkpELvs3LlSt577z1mzpxZ7OeJi4sjIiLCtcXExHhTpohIkX77DTp2NMMnmMeLTp9uHjMaGmptbSIiVVW5Lvt08uRJBg0axMyZM6lfv36x7zdhwgRSU1Nd2759+8qxShGpKmbPhiuugP37zduNGpnBdORICAiwtjYRkarMq2Wf6tevT1BQEMnJyR7tycnJREVFFei/a9cuEhIS6NOnj6vN6XSaT1ytGtu3b6dVq1YF7hcSEkJISIg3pYmIFCk7Gx58EGbMcLdddhksWmSGUhERsZZXI6TBwcF07NiR+Ph4V5vT6SQ+Pp5u3boV6H/eeeexadMm1q9f79r69u1Lr169WL9+vXbFi0i5S0w0R0Xzh9H774fvv1cYFRHxFV4vjD9+/HiGDBlCp06d6NKlC1OmTCEjI4OhQ4cCMHjwYBo3bkxcXByhoaG0a9fO4/61a9cGKNAuIlLWvvsO7rzTXPQezGNE330XBg+2ti4REfHkdSC9/fbbOXLkCE8//TRJSUl06NCBZcuWuSY6JSYmEhioM5KKiHWcTnjxRZg40bwO0LIl/Pe/0KGDpaWJiEghAgzDMKwu4mzS0tKIiIggNTWV8PBwq8sRER924gTccw8sWeJuu/FG+PBDqFPHqqo8ZWRkYLPZAEhPT6dmzZoWVyQiUnqlyWsayhSRSsNuN5d0ygujAQHw3HPw+ee+E0ZFRKQgr3fZi4j4GsOA996DMWPMGfVgBtD58+G666ytTUREzk6BVET8WmamOWt+7lx3W+fO5pJOzZpZV5eIiBSfdtmLiN/avh26dvUMo2PGwE8/KYyKiPgTjZCKiF9auBBGjID0dPN2zZowaxbccYe1dYmIiPcUSEXEr5w6BQ89ZK4nmqdtW/jkEzj/fOvqEhGRklMgFRG/sX073HYbbNzobrv7bpg+3RwhFRER/6RjSEXEL8ybZy7plBdGa9QwZ9Z/8IHCqIiIv9MIqYj4tFOn4MEHzeND85x/vjmL/oILrKtLRETKjkZIRcRnbd5sLuGUP4wOGQK//aYwKiJSmSiQiojPMQzzuNDOnWHLFrMtLAzmzDE37aIXEalctMteRHzKsWNw773w6afutgsvhAULzNn0IiJS+WiEVER8xk8/QYcOnmF0zBhYs0ZhVESkMlMgFRHLnT4NzzwDPXvCvn1mW926sGQJvPUWhIZaWZ2IiJQ37bIXEUvt2mWuJbp6tbutRw9zmafGja2rS0REKo5GSEXEEoZhTlDq0MEdRoOC4LnnID5eYVREpCrRCKmIVLhjx2DkSPN0n3latjRHRS+91Lq6RETEGhohFZEKFR8PF13kGUaHDoX16xVGRUSqKgVSEakQmZkwdizExsKBA2Zb3bpmMH3/fahVy9r6RETEOtplLyLl7tdfzTMsbd/ubouNNY8h1bGiIiKiEVIRKTc5OTBxInTv7g6joaHw+uvw9dcKoyIiYtIIqYiUi02bYPBg89jQPJ07wwcfwHnnWVaWiIj4II2QikiZOn0a4uKgUyd3GK1WDf79b/jlF4VREREpSCOkIlJmNm0yZ8yvXetuu+ACc1T0kkusq0tERHybRkhFpNRyc80F7Tt2dIfRwEB49FH4/XeFUREROTONkIpIqdjt5qjohg3utrZtzaWcuna1ri4REfEfGiEVkRLJyjJn0Hfu7A6jQUHwxBOwbp3CqIiIFJ9GSEXEaytWwD//CX/+6W678EKYPdvcbS8iIuINjZCKSLEdPw4jRkCvXu4wWr06TJpkHiuqMCoiIiWhEVIROSvDgI8/Nk/9mZzsbu/WDWbONGfSi4iIlJRGSEXkjPbsgT594I473GG0Vi2YNg1WrlQYFRGR0tMIqYgUKjsbXn0Vnn8eTp1yt/frB1OnQpMm1tUmIiKViwKpiBQQHw+jR7vPPw8QHQ1vvQU332xdXSIiUjlpl72IuBw6BAMHQmysO4wGBcFDD8HWrQqjIiJSPjRCKiLk5pq74Z95BtLS3O3dusE770D79paVJiIiVYACqUgV98035uz5bdvcbXXrwosvwrBh5ilARUREypP+qRGponbvhv79oXdvdxgNCIDhw83d9SNGKIyKiEjF0AipSBWTng4vvACvvGLOpM9z6aXmpKVOnayrTUREqiYFUpEqwuGAOXPM888nJbnbo6LgpZfgrrs0IioiItZQIBWpAr77Dh5+GDZudLdVr27Onp840VzoXkRExCoKpCKV2B9/wL/+BUuXerb372+OirZpY0lZIiIiHkq0g27atGk0b96c0NBQunbtypo1a4rsO3PmTK644grq1KlDnTp1iI2NPWN/ESm9Q4dg1Ci46CLPMNqxI6xYAYsXK4yKiIjv8DqQLly4kPHjxzNp0iTWrVtH+/bt6d27N4cPHy60/4oVK7jzzjtZvnw5q1atIiYmhmuvvZYDBw6UungR8XTiBDzxBLRqBe++ax43CuZpPj/8ENasgR49LC1RRESkgADDMAxv7tC1a1c6d+7M1KlTAXA6ncTExPDAAw/w+OOPn/X+DoeDOnXqMHXqVAYPHlys50xLSyMiIoLU1FTCw8O9KVekSjh1ylzYPi4Ojh93t9eqBY89Zh4rGhZmXX3iKSMjA5vNBkB6ejo1a9a0uCIRkdIrTV7z6hjSnJwc1q5dy4QJE1xtgYGBxMbGsmrVqmI9RmZmJrm5udStW7fIPtnZ2WTnW48mLf+pY0TEJTcX5s6FZ5+F/fvd7cHBcP/95mhpgwbW1SciIlIcXu2yT0lJweFwEBkZ6dEeGRlJUv51ZM7gscceIzo6mtjY2CL7xMXFERER4dpiYmK8KVOk0jt92gyi550H997rDqMBATB4sLmw/euvK4yKiIh/qNBVB1944QUWLFjA4sWLCQ0NLbLfhAkTSE1NdW379u2rwCpFfJfDAfPmQdu2cM895tmW8tx0E2zYYAbV5s2tqlBERMR7Xu2yr1+/PkFBQSQnJ3u0JycnExUVdcb7vvLKK7zwwgt89913XHTRRWfsGxISQkhIiDeliVRqDgd88gk884znOecBrr7a3GV/2WWWlCYiIlJqXo2QBgcH07FjR+Lj411tTqeT+Ph4unXrVuT9XnrpJf7973+zbNkyOum8hCLFdvq0OTu+XTu44w7PMNqjB/zwg7novcKoiIj4M68Xxh8/fjxDhgyhU6dOdOnShSlTppCRkcHQoUMBGDx4MI0bNyYuLg6AF198kaeffpr58+fTvHlz17GmNpvNNctURDxlZ5u73l94Afbs8fzZZZfBc89Br17mMaMiIiL+zutAevvtt3PkyBGefvppkpKS6NChA8uWLXNNdEpMTCQw3wmx33nnHXJychgwYIDH40yaNIlnnnmmdNWLVDKZmTBrlnkWpb8v1XvFFeZpPq+5RkFUREQqF6/XIbWC1iGVyu7IEXMd0WnT4OhRz59dey08+SRceaU1tUnZ0zqkIlIZVdg6pCJStnbuhFdfhTlzICvL82f9+plBtHNnS0oTERGpMAqkIhXMMGD1ajOIfvqpeTtPtWrm5KVHH4ULL7SuRhERkYqkQCpSQXJyYNEieOMN+O03z5/ZbPDPf8K4caDzQIiISFWjQCpSzg4fhnffhXfegUOHPH8WFWWG0JEjoXZtK6oTERGxngKpSDkwDHMU9O234f/+zxwdza9DBxg7Fu68E3QOCBERqeoUSEXKUEYGzJ9vjoba7Z4/CwyE/v3NIHrFFVq6SUREJI8CqUgZ+OMPM4R+8AGkpXn+rHZtGDECRo/WOeZFREQKo0AqUkInT8LHH8N778GqVQV/3qkT3HefOWs+LKzi6xMREfEXCqQiXjAMM3y+9x4sXGjuos+vRg3zuND77jMDqYiIiJydAqlIMezbB/PmmeeX37at4M/btTN3yw8eDHXqVHx9IiIi/kyBVKQIJ0/Cf/9rHhe6YoXnAvYA4eHmaOiwYebZlDRJSUREpGQUSEXyycmB776Djz6Czz6DU6cK9rnyShg+HAYM0LGhIiIiZUGBVKq806fhhx9gwQJzRPT48YJ9WreGQYPg7ruhZcuKr1FERKQyUyCVKsnhgF9+MScmLVpknk3p7+rWhdtvN48L7dpVu+RFRETKiwKpVBm5ubB8OXz6qbk7Pjm5YJ+aNaFvXzOIXn89BAdXeJkiIiJVjgKpVGqZmfDtt2YI/fxzOHGiYJ+QELjxRnO90Btv1HGhIiIiFU2BVCqdgwfhiy/gf/8zJyhlZRXsExoK110HN98M/fqZM+ZFRETEGgqk4vecTli3DpYuNUPo778X3q9WLbjpJjOEXn+9uXteRERErKdAKn7pyBH45htYtgy+/tq8XZhGjcwQ2rcvxMaaI6MiIiLiWxRIxS9kZ5un7PzuOzOI/v57wYXq83ToYAbQPn3gkksgMLBCSxUREREvKZCKT3I6YcMGM4DGx8OPPxa+SD2AzWaOfvbubU5Kiomp2FpFRESkdBRIxSc4nbBpk3mKzh9+MAPo0aNF97/oIvM40Ouug+7dtTyTiIiIP1MgFUvk5sL69bBypTuAFnaGpDyNG5ujoFdfbW7R0RVWqoiIiJQzBVKpECdOmMeA/vyzua1ZY64RWpQ6dcxzxsfGmtu55+pMSSIiIpWVAqmUudOnYcsWWL0afv3V3LZuLXoSEkC9emYA7dkTevSACy/UZCQREZGqQoFUSsUwYNcuWLvWnPm+Zo15eabRT4BmzeCyy8ztiivgggsUQEVERKoqBVIpNqcTdu40j/3MC6Dr1hV+Os78qlWD9u3NyUeXX26G0MaNK6JiERER8QcKpFKo9HRzt/v69ebyS+vXw8aNkJFx9vs2awZdu8Kll5qXF18MNWqUd8UiIiLirxRIq7jcXPjzT3PJpc2bzctNm2D37uLdPzoaOnaETp3cl5GR5VuziIiIVC4KpFXEqVOwfbs5ueiPP9yXf/5pTkIqjpYtzbMg5W0dO2r5JRERESk9BdJKxOGAfftgxw4zfOZdbt8OiYnFf5yaNc1JRhdeaB772aGDuRB9RES5lS4iIiJVmAKpn8nKgr17zV3qu3aZk4zytj17ICen+I8VHGyu73n++Wb4zNuaN9eMdxEREak4CqQ+JicH9u83Q+fevZCQYAbN3bvNy4MHz7yeZ2EiIszgee650LatuZ1/PrRoYc6AFxEREbGS4kgFcjrh8GEzcO7b577ct8/cpb53b8kCJ5iz2Fu1gtatzS0vgJ57LjRooLMciYiIiO9SIC0DhmGuxZmUBIcOmduBA2a4PHDAff3gQXNWe0k1aGCOarZsaV7mhc9WraBRI+1mFxEREf+kQFoEp9MMmUeOmKOaycmFb4cOmUE0O7v0z9mwobmGZ97WtKl5mRdAbbbSP4eIiIiIr6kSgdQwzIXejx2Do0fNLSXFfZm3HTni3lJSir8cUnHUr28ukdSkCcTEmNvfr2vxeBEREamK/CqQnjhhhsrUVPN6aiocP+7eTpzwvH3smHsrza7yM6lfH6KizF3meVtUlHlqzOho87JRIwgJKZ/nFxEREfF3fhVImzUr/+cIDjZ3nTdo4N4aNjTPPvT3rUEDs7+IiIiIlJxfBVJv2WxQrx7Ureu51a9vttev775er54ZMGvV0ox0ERERkYpUokA6bdo0Xn75ZZKSkmjfvj1vvfUWXbp0KbL/okWLeOqpp0hISKBNmza8+OKL3HDDDV4/71VXmQEyIgJq13Zf1qlTcKtdW6OXIiIiIv7A60C6cOFCxo8fz/Tp0+natStTpkyhd+/ebN++nYYNGxbo/8svv3DnnXcSFxfHTTfdxPz58+nfvz/r1q2jXbt2Xj334sUQHu5txSIiIiLiywIMw7tl2Lt27Urnzp2ZOnUqAE6nk5iYGB544AEef/zxAv1vv/12MjIy+OKLL1xtl156KR06dGD69OnFes60tDQiIiI4ePAg4UqkIuLnMjIyiIyMBCA5OZmaNWtaXJGISOmlpaURHR1Namqq13nNqxHSnJwc1q5dy4QJE1xtgYGBxMbGsmrVqkLvs2rVKsaPH+/R1rt3bz777LMinyc7O5vsfAt7pqWlARAdHe1NuSIiPi8vmIqIVGVendsnJSUFh8NR4As0MjKSpKSkQu+TlJTkVX+AuLg4IiIiXFtMTIw3ZYqIiIiIH/HJWfYTJkzwGFVNS0sjJiZGu+xFpFLQLnsRqYzydtmXhFeBtH79+gQFBZGcnOzRnpycTFRUVKH3iYqK8qo/QEhICCGFrCRfs2ZNfXGLSKWi7zURqSwcDkeJ7+vVLvvg4GA6duxIfHy8q83pdBIfH0+3bt0KvU+3bt08+gN8++23RfYXERERkarF613248ePZ8iQIXTq1IkuXbowZcoUMjIyGDp0KACDBw+mcePGxMXFATB27Fh69OjBq6++yo033siCBQv4/fffmTFjRtn+JiIiIiLil7wOpLfffjtHjhzh6aefJikpiQ4dOrBs2TLX8VCJiYkEBroHXrt37878+fOZOHEiTzzxBG3atOGzzz7zeg1SEREREamcvF6H1Ap565CWZF0rERFfk5GRgc1mAyA9PV3HkIpIpVCavObVMaQiIiIiImVNgVRERERELKVAKiIiIiKWUiAVEREREUspkIqIiIiIpRRIRURERMRSCqQiIiIiYikFUhERERGxlAKpiIiIiFhKgVRERERELKVAKiIiIiKWUiAVEREREUspkIqIiIiIpRRIRURERMRSCqQiIiIiYikFUhERERGxlAKpiIiIiFhKgVRERERELFXN6gKKwzAMANLS0iyuRESk9DIyMlzX09LScDgcFlYjIlI28nJaXm7zhl8E0qNHjwIQExNjcSUiImUrOjra6hJERMrU0aNHiYiI8Oo+fhFI69atC0BiYqLXv2BVlZaWRkxMDPv27SM8PNzqcvyGXjfv6TUrGb1u3tNrVjJ63byn16xkUlNTadq0qSu3ecMvAmlgoHmoa0REhD4YXgoPD9drVgJ63byn16xk9Lp5T69Zyeh1855es5LJy21e3acc6hARERERKTYFUhERERGxlF8E0pCQECZNmkRISIjVpfgNvWYlo9fNe3rNSkavm/f0mpWMXjfv6TUrmdK8bgFGSebmi4iIiIiUEb8YIRURERGRykuBVEREREQspUAqIiIiIpZSIBURERERS/ltIM3OzqZDhw4EBASwfv16q8vxeX379qVp06aEhobSqFEjBg0axMGDB60uy2clJCQwfPhwWrRoQY0aNWjVqhWTJk0iJyfH6tJ82n/+8x+6d+9OWFgYtWvXtrocnzVt2jSaN29OaGgoXbt2Zc2aNVaX5NN+/PFH+vTpQ3R0NAEBAXz22WdWl+Tz4uLi6Ny5M7Vq1aJhw4b079+f7du3W12Wz3vnnXe46KKLXAvid+vWja+++srqsvzKCy+8QEBAAOPGjfPqfn4bSB999FGdA9oLvXr14uOPP2b79u3897//ZdeuXQwYMMDqsnzWtm3bcDqdvPvuu2zZsoXXX3+d6dOn88QTT1hdmk/Lycnh1ltv5b777rO6FJ+1cOFCxo8fz6RJk1i3bh3t27end+/eHD582OrSfFZGRgbt27dn2rRpVpfiN3744QdGjx7N6tWr+fbbb8nNzeXaa68lIyPD6tJ8WpMmTXjhhRdYu3Ytv//+O1dddRX9+vVjy5YtVpfmF3777TfeffddLrroIu/vbPihpUuXGuedd56xZcsWAzDsdrvVJfmdJUuWGAEBAUZOTo7VpfiNl156yWjRooXVZfiF2bNnGxEREVaX4ZO6dOlijB492nXb4XAY0dHRRlxcnIVV+Q/AWLx4sdVl+J3Dhw8bgPHDDz9YXYrfqVOnjjFr1iyry/B5J0+eNNq0aWN8++23Ro8ePYyxY8d6dX+/GyFNTk7m3nvv5cMPPyQsLMzqcvzSsWPHmDdvHt27d6d69epWl+M3UlNTqVu3rtVliB/Lyclh7dq1xMbGutoCAwOJjY1l1apVFlYmlV1qaiqAvsO84HA4WLBgARkZGXTr1s3qcnze6NGjufHGGz2+37zhV4HUMAzuueceRo0aRadOnawux+889thj1KxZk3r16pGYmMiSJUusLslv7Ny5k7feeouRI0daXYr4sZSUFBwOB5GRkR7tkZGRJCUlWVSVVHZOp5Nx48Zx2WWX0a5dO6vL8XmbNm3CZrMREhLCqFGjWLx4MW3btrW6LJ+2YMEC1q1bR1xcXIkfwycC6eOPP05AQMAZt23btvHWW29x8uRJJkyYYHXJPqG4r1uef/3rX9jtdr755huCgoIYPHgwRhU7UZe3rxnAgQMHuO6667j11lu59957LarcOiV5zUTEd4wePZrNmzezYMECq0vxC+eeey7r16/n119/5b777mPIkCH88ccfVpfls/bt28fYsWOZN28eoaGhJX4cnzh16JEjRzh69OgZ+7Rs2ZLbbruN//3vfwQEBLjaHQ4HQUFB3HXXXcydO7e8S/UpxX3dgoODC7Tv37+fmJgYfvnllyq1K8Lb1+zgwYP07NmTSy+9lDlz5hAY6BP/h6tQJfmczZkzh3HjxnHixIlyrs6/5OTkEBYWxieffEL//v1d7UOGDOHEiRPaa1EMAQEBLF682OP1k6KNGTOGJUuW8OOPP9KiRQury/FLsbGxtGrVinfffdfqUnzSZ599xj/+8Q+CgoJcbQ6Hg4CAAAIDA8nOzvb4WVGqlWeRxdWgQQMaNGhw1n5vvvkmzz//vOv2wYMH6d27NwsXLqRr167lWaJPKu7rVhin0wmYy2dVJd68ZgcOHKBXr1507NiR2bNnV8kwCqX7nImn4OBgOnbsSHx8vCtQOZ1O4uPjGTNmjLXFSaViGAYPPPAAixcvZsWKFQqjpeB0Oqvcv5XeuPrqq9m0aZNH29ChQznvvPN47LHHihVGwUcCaXE1bdrU47bNZgOgVatWNGnSxIqS/MKvv/7Kb7/9xuWXX06dOnXYtWsXTz31FK1atapSo6PeOHDgAD179qRZs2a88sorHDlyxPWzqKgoCyvzbYmJiRw7dozExEQcDodrjeDWrVu7/l6ruvHjxzNkyBA6depEly5dmDJlChkZGQwdOtTq0nxWeno6O3fudN3es2cP69evp27dugX+XRDT6NGjmT9/PkuWLKFWrVquY5QjIiKoUaOGxdX5rgkTJnD99dfTtGlTTp48yfz581mxYgVff/211aX5rFq1ahU4NjlvvopXxyyX+bz/CrRnzx4t+1QMGzduNHr16mXUrVvXCAkJMZo3b26MGjXK2L9/v9Wl+azZs2cbQKGbFG3IkCGFvmbLly+3ujSf8tZbbxlNmzY1goODjS5duhirV6+2uiSftnz58kI/V0OGDLG6NJ9V1PfX7NmzrS7Npw0bNsxo1qyZERwcbDRo0MC4+uqrjW+++cbqsvxOSZZ98oljSEVERESk6qqaB8WJiIiIiM9QIBURERERSymQioiIiIilFEhFRERExFIKpCIiIiJiKQVSEREREbGUAqmIiIiIWEqBVEREREQspUAqIlLBevbsybhx46wuQ0TEZyiQioiIiIildOpQEZEKdM899zB37lyPtj179tC8eXNrChIR8QEKpCIiFSg1NZXrr7+edu3a8dxzzwHQoEEDgoKCLK5MRMQ61awuQESkKomIiCA4OJiwsDCioqKsLkdExCfoGFIRERERsZQCqYiIiIhYSoFURKSCBQcH43A4rC5DRMRnKJCKiFSw5s2b8+uvv5KQkEBKSgpOp9PqkkRELKVAKiJSwR555BGCgoJo27YtDRo0IDEx0eqSREQspWWfRERERMRSGiEVEREREUspkIqIiIiIpRRIRURERMRSCqQiIiIiYikFUhERERGxlAKpiIiIiFhKgVRERERELKVAKiIiIiKWUiAVEREREUspkIqIiIiIpRRIRURERMRSCqQiIiIiYqn/BxICfDORmeetAAAAAElFTkSuQmCC",
"text/plain": [
"<Figure size 800x400 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"t = np.linspace(-4, 4, 100)\n",
"sig = 1 / (1 + np.exp(-t))\n",
"plt.figure(figsize=(8, 4))\n",
"plt.plot([-4, 4], [0, 0], \"k-\")\n",
"plt.plot([-4, 4], [0.5, 0.5], \"k:\")\n",
"plt.plot([-4, 4], [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([-4, 4, -0.1, 1.1]);"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"### Hinge loss\n",
"\n",
"Logistic regression cost function for reference: \n",
"\n",
"\\begin{align*}\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",
"\\frac{\\lambda}{2m}\n",
"\\sum_{j=1}^n \\theta_j^2.\n",
"\\end{align*}"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "fragment"
}
},
"source": [
"#### Positive training instances\n",
"\n",
"For $y^{(i)}=1$, replace cost $-\\log(\\sigma(\\theta^{\\rm T} x))$ with *hinge loss* $\\max(1 - \\theta^{\\rm T} x, 0)$.\n",
"\n",
"For training, we want not just $\\theta^{\\rm T} x \\geq 0$ but $\\theta^{\\rm T} x \\geq 1$. "
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "subslide"
},
"tags": [
"inclass_exercise"
]
},
"source": [
"#### Exercise: \n",
"\n",
"Plot cost $-\\log(\\sigma(\\theta^{\\rm T} x))$ and hinge loss $\\max(1 - \\theta^{\\rm T} x, 0)$ ."
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "-"
}
},
"source": [
"Logistic regression cost function for reference: \n",
"\\begin{align*}\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",
"\\frac{\\lambda}{2m}\n",
"\\sum_{j=1}^n \\theta_j^2.\n",
"\\end{align*}"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"execution": {
"iopub.execute_input": "2024-01-10T00:20:08.223354Z",
"iopub.status.busy": "2024-01-10T00:20:08.222895Z",
"iopub.status.idle": "2024-01-10T00:20:08.226877Z",
"shell.execute_reply": "2024-01-10T00:20:08.226303Z"
},
"tags": [
"inclass_exercise",
"solution"
]
},
"outputs": [],
"source": [
"t = np.linspace(-4, 4, 100)\n",
"sig = 1 / (1 + np.exp(-t))\n",
"cost_one = -np.log(sig)\n",
"cost_one_hinge = np.maximum(1 - t, np.zeros(t.size))"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"execution": {
"iopub.execute_input": "2024-01-10T00:20:08.229821Z",
"iopub.status.busy": "2024-01-10T00:20:08.229175Z",
"iopub.status.idle": "2024-01-10T00:20:08.462823Z",
"shell.execute_reply": "2024-01-10T00:20:08.462159Z"
},
"slideshow": {
"slide_type": "fragment"
},
"tags": [
"inclass_exercise",
"solution"
]
},
"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([0, 0], [0, 5], \"k-\")\n",
"plt.plot(t, cost_one, \"b-\", linewidth=2, label=r\"$-\\log{(\\sigma(\\theta^{\\rm T} x))}$\")\n",
"plt.xlabel(r\"$\\theta^{\\rm T} x$\", fontsize=20)\n",
"plt.axis([-4, 4, 0, 5]);\n",
"plt.title('Cost for $y=1$', fontsize=20)\n",
"plt.plot(t, cost_one_hinge, \"r-\", linewidth=2, label=r\"$\\max(1-\\theta^{\\rm T} x, 0)$\")\n",
"plt.legend(loc=\"upper right\", fontsize=20);"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"#### Negative training instances\n",
"\n",
"For $y^{(i)}=0$, replace $-\\log(1-\\sigma(\\theta^{\\rm T} x))$ with *hinge loss* $\\max(1 + \\theta^{\\rm T} x, 0)$.\n",
"\n",
"For training, we want not just $\\theta^{\\rm T} x < 0$ but $\\theta^{\\rm T} x \\leq -1$. "
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "subslide"
},
"tags": [
"inclass_exercise"
]
},
"source": [
"#### Exercise: \n",
"\n",
"Plot cost $-\\log(1-\\sigma(\\theta^{\\rm T} x))$ and hinge loss $\\max(1 + \\theta^{\\rm T} x, 0)$."
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"execution": {
"iopub.execute_input": "2024-01-10T00:20:08.466146Z",
"iopub.status.busy": "2024-01-10T00:20:08.465732Z",
"iopub.status.idle": "2024-01-10T00:20:08.470442Z",
"shell.execute_reply": "2024-01-10T00:20:08.469824Z"
},
"tags": [
"inclass_exercise",
"solution"
]
},
"outputs": [],
"source": [
"cost_zero = -np.log(1-sig)\n",
"cost_zero_hinge = np.maximum(1 + t, np.zeros(t.size))"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"execution": {
"iopub.execute_input": "2024-01-10T00:20:08.473267Z",
"iopub.status.busy": "2024-01-10T00:20:08.472901Z",
"iopub.status.idle": "2024-01-10T00:20:08.747961Z",
"shell.execute_reply": "2024-01-10T00:20:08.747253Z"
},
"tags": [
"inclass_exercise",
"solution"
]
},
"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([0, 0], [0, 5], \"k-\")\n",
"plt.plot(t, cost_zero, \"b-\", linewidth=2, label=r\"$-\\log{(1-\\sigma(\\theta^{\\rm T} x))}$\")\n",
"plt.xlabel(r\"$\\theta^{\\rm T} x$\", fontsize=20)\n",
"plt.axis([-4, 4, 0, 5]);\n",
"plt.title('Cost for $y=0$', fontsize=20);\n",
"plt.plot(t, cost_zero_hinge, \"r-\", linewidth=2, label=r\"$max(1+\\theta^{\\rm T} x, 0)$\")\n",
"plt.legend(loc=\"upper left\", fontsize=20);"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"### Replace costs with hinge loss functions\n",
"\n",
"Recall logistic regression with $\\ell_2$ regularisation cost function is given by\n",
"\n",
"\\begin{align*}\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",
"\\frac{\\lambda}{2m}\n",
"\\sum_{j=1}^n \\theta_j^2.\n",
"\\end{align*}\n",
"\n",
"Replace costs for $y^{(i)}=1$ and $y^{(i)}=0$ with hinge losses given above:\n",
"\\begin{align*}\n",
"\\min_\\theta\n",
"\\sum_{i=1}^m \n",
"\\left [ \n",
"y^{(i)} \n",
"\\max(1 - \\theta^{\\rm T} x^{(i)}, 0)\n",
"+\n",
"(1 - y^{(i)}) \n",
"\\max(1 + \\theta^{\\rm T} x^{(i)}, 0)\n",
"\\right]\n",
"+\n",
"\\frac{\\lambda}{2}\n",
"\\sum_{j=1}^n \\theta_j^2.\n",
"\\end{align*}"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "fragment"
}
},
"source": [
"Introduce $k^{(i)}=1$ for positive instances ($y^{(i)}=1$) and $k^{(i)}=-1$ for negative instances ($y^{(i)}=0$):\n",
"\n",
"\\begin{align*}\n",
"\\Rightarrow\n",
"\\min_\\theta\n",
"C\n",
"\\sum_{i=1}^m \n",
"\\max(1 - k^{(i)} \\theta^{\\rm T} x^{(i)}, 0)\n",
"+\n",
"\\frac{1}{2}\n",
"\\sum_{j=1}^n \\theta_j^2\n",
"\\end{align*}"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "fragment"
}
},
"source": [
"The convention is to weight the fidelity term by C rather than regularisation term by $\\lambda$ (thus $C$ plays the role of $1/\\lambda$).\n",
"- Large $C$ $\\rightarrow$ little regularisation \n",
"- Small $C$ $\\rightarrow$ greater regularisation"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"### Constrained objective problem\n",
"\n",
"So far we considered the *unconstrained* objective problem by adapting the logistic regression cost function:\n",
"\\begin{align*}\n",
"\\min_\\theta\n",
"C\n",
"\\sum_{i=1}^m \n",
"\\max(1 - k^{(i)} \\theta^{\\rm T} x^{(i)}, 0)\n",
"+\n",
"\\frac{1}{2}\n",
"\\sum_{j=1}^n \\theta_j^2\n",
"\\end{align*}"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "fragment"
}
},
"source": [
"We can also consider the *constrained* objective problem:\n",
"\\begin{align*}\n",
"\\min_\\theta\n",
"\\frac{1}{2}\n",
"\\sum_{j=1}^n \\theta_j^2\n",
"\\quad\n",
"\\text{subject to}\n",
"\\quad\n",
"k^{(i)} \\theta^{\\rm T} x^{(i)} \\geq 1 \\ \\text{for}\\ i=1,2,\\ldots,m\n",
"\\end{align*}\n",
"\n",
"(Follows intuitively by considering large $C$.)"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"### Intuition for large margin classification\n",
"\n",
"Decision boundary defined by $\\theta^{\\rm T} x + b = 0$ (where here $\\theta$ does *not* include bias and $b=\\theta_0$; in notation above $\\theta$ did include bias, i.e. $\\theta_0$ term).\n",
"\n",
"Consequently, $\\theta$ is orthogonal to decision boundary."
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "fragment"
}
},
"source": [
"Recall constrained objective:\n",
"\n",
"\\begin{align*}\n",
"\\min_\\theta\n",
"\\frac{1}{2}\n",
"\\sum_{j=1}^n \\theta_j^2\n",
"\\quad\n",
"\\text{subject to}\n",
"\\quad\n",
"k^{(i)} \\theta^{\\rm T} x^{(i)} \\geq 1 \\ \\text{for}\\ i=1,2,\\ldots,m\n",
"\\end{align*}"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"#### Projection\n",
"\n",
"Note that the term $k^{(i)} \\theta^{\\rm T} x^{(i)}$ is related to the projection of $x^{(i)}$ onto $\\theta$:\n",
"\n",
"$$k^{(i)} \\theta^{\\rm T} x^{(i)} = p^{(i)} \\| \\theta \\|,$$\n",
"\n",
"where $ p^{(i)}$ is the projection of $x^{(i)}$ onto $\\theta$."
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "fragment"
}
},
"source": [
"Attempting to minimise $\\| \\theta \\|$, hence requires $p^{(i)}$ to be large $\\Rightarrow$ large margin classification."
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"### Graphical illustration\n",
"\n",
"<img src=\"https://raw.githubusercontent.com/astro-informatics/course_mlbd_images/master/Lecture09_Images/SVM_optimize_cropped.png\" width=\"600px\" style=\"display:block; margin:auto\"/>\n",
"\n",
"(Note difference notation used: $w=\\theta$ without bias.)\n",
"\n",
"[Image source](http://www.saedsayad.com/support_vector_machine.htm)\n"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"## Training SVMs"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {
"execution": {
"iopub.execute_input": "2024-01-10T00:20:08.751989Z",
"iopub.status.busy": "2024-01-10T00:20:08.751391Z",
"iopub.status.idle": "2024-01-10T00:20:08.757625Z",
"shell.execute_reply": "2024-01-10T00:20:08.757013Z"
}
},
"outputs": [],
"source": [
"# Common imports\n",
"import os\n",
"import numpy as np\n",
"np.random.seed(42) # To make this notebook's output stable across runs\n",
"\n",
"# To plot pretty figures\n",
"%matplotlib inline\n",
"import matplotlib\n",
"import matplotlib.pyplot as plt\n",
"plt.rcParams['axes.labelsize'] = 14\n",
"plt.rcParams['xtick.labelsize'] = 12\n",
"plt.rcParams['ytick.labelsize'] = 12"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"### Load data and train"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {
"execution": {
"iopub.execute_input": "2024-01-10T00:20:08.760717Z",
"iopub.status.busy": "2024-01-10T00:20:08.760092Z",
"iopub.status.idle": "2024-01-10T00:20:09.136447Z",
"shell.execute_reply": "2024-01-10T00:20:09.135746Z"
}
},
"outputs": [],
"source": [
"from sklearn.svm import SVC\n",
"from sklearn import datasets\n",
"\n",
"iris = datasets.load_iris()\n",
"X = iris[\"data\"][:, (2, 3)] # petal length, petal width\n",
"y = iris[\"target\"]\n",
"\n",
"setosa_or_versicolor = (y == 0) | (y == 1)\n",
"X = X[setosa_or_versicolor]\n",
"y = y[setosa_or_versicolor]\n",
"\n",
"# SVM Classifier model\n",
"svm_clf = SVC(kernel=\"linear\", C=np.finfo(float).max)\n",
"svm_clf.fit(X, y);"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"### Plot decision boundaries"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {
"execution": {
"iopub.execute_input": "2024-01-10T00:20:09.140117Z",
"iopub.status.busy": "2024-01-10T00:20:09.139447Z",
"iopub.status.idle": "2024-01-10T00:20:09.143979Z",
"shell.execute_reply": "2024-01-10T00:20:09.143319Z"
}
},
"outputs": [],
"source": [
"# Bad models\n",
"x0 = np.linspace(0, 5.5, 200)\n",
"#pred_1 = 5*x0 - 20\n",
"pred_2 = x0 - 1.8\n",
"pred_3 = 0.1 * x0 + 0.5"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {
"execution": {
"iopub.execute_input": "2024-01-10T00:20:09.147122Z",
"iopub.status.busy": "2024-01-10T00:20:09.146671Z",
"iopub.status.idle": "2024-01-10T00:20:09.152212Z",
"shell.execute_reply": "2024-01-10T00:20:09.151513Z"
}
},
"outputs": [],
"source": [
"def plot_svc_decision_boundary(svm_clf, xmin, xmax):\n",
" w = svm_clf.coef_[0]\n",
" b = svm_clf.intercept_[0]\n",
"\n",
" # At the decision boundary, w0*x0 + w1*x1 + b = 0\n",
" # => x1 = -w0/w1 * x0 - b/w1\n",
" x0 = np.linspace(xmin, xmax, 200)\n",
" decision_boundary = -w[0]/w[1] * x0 - b/w[1]\n",
"\n",
" # On the margin, w0*x0 + w1*x1 + b = +/- 1\n",
" margin = 1/w[1]\n",
" gutter_up = decision_boundary + margin\n",
" gutter_down = decision_boundary - margin\n",
"\n",
" svs = svm_clf.support_vectors_\n",
" plt.scatter(svs[:, 0], svs[:, 1], s=200, facecolors='#FFAAAA')\n",
" plt.plot(x0, decision_boundary, \"k-\", linewidth=2)\n",
" plt.plot(x0, gutter_up, \"k--\", linewidth=2)\n",
" plt.plot(x0, gutter_down, \"k--\", linewidth=2)"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {
"execution": {
"iopub.execute_input": "2024-01-10T00:20:09.155462Z",
"iopub.status.busy": "2024-01-10T00:20:09.155013Z",
"iopub.status.idle": "2024-01-10T00:20:09.547975Z",
"shell.execute_reply": "2024-01-10T00:20:09.547289Z"
}
},
"outputs": [
{
"data": {
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",
"text/plain": [
"<Figure size 1600x400 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=(16,4))\n",
"\n",
"plt.subplot(121)\n",
"#plt.plot(x0, pred_1, \"g--\", linewidth=2)\n",
"plt.plot(x0, pred_2, \"m-\", linewidth=2)\n",
"plt.plot(x0, pred_3, \"r-\", linewidth=2)\n",
"plt.plot(X[:, 0][y==1], X[:, 1][y==1], \"bs\", label=\"Iris-Versicolor\")\n",
"plt.plot(X[:, 0][y==0], X[:, 1][y==0], \"yo\", label=\"Iris-Setosa\")\n",
"plt.xlabel(\"Petal length\", fontsize=14)\n",
"plt.ylabel(\"Petal width\", fontsize=14)\n",
"plt.legend(loc=\"upper left\", fontsize=14)\n",
"plt.axis([0, 5.5, 0, 2])\n",
"\n",
"plt.subplot(122)\n",
"plot_svc_decision_boundary(svm_clf, 0, 5.5)\n",
"plt.plot(X[:, 0][y==1], X[:, 1][y==1], \"bs\")\n",
"plt.plot(X[:, 0][y==0], X[:, 1][y==0], \"yo\")\n",
"plt.xlabel(\"Petal length\", fontsize=14)\n",
"plt.axis([0, 5.5, 0, 2]);"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "fragment"
}
},
"source": [
"Adding training instances outside the margin will not alter the decision boundary. \n",
"\n",
"Boundary is defined by *support vectors* that are located on the edge of the margin."
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "subslide"
},
"tags": [
"inclass_exercise"
]
},
"source": [
"#### Exercise: what value would you guess for the weights $\\theta$ (excluding the bias)?"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "fragment"
},
"tags": [
"solution",
"inclass_exercise"
]
},
"source": [
"From plot appears $w \\sim [1, 1]^{\\rm T}$ (or slightly more accurately $w \\sim [1.1, 0.9]^{\\rm T}$).\n",
"\n",
"Let's check:"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {
"execution": {
"iopub.execute_input": "2024-01-10T00:20:09.551525Z",
"iopub.status.busy": "2024-01-10T00:20:09.551157Z",
"iopub.status.idle": "2024-01-10T00:20:09.555816Z",
"shell.execute_reply": "2024-01-10T00:20:09.555293Z"
}
},
"outputs": [
{
"data": {
"text/plain": [
"array([1.29411744, 0.82352928])"
]
},
"execution_count": 13,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"svm_clf.coef_[0]"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"### Feature scaling\n",
"\n",
"SVMs are sensitive to feature scales, hence feature scaling is important if features not already of similar scale."
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {
"execution": {
"iopub.execute_input": "2024-01-10T00:20:09.558797Z",
"iopub.status.busy": "2024-01-10T00:20:09.558365Z",
"iopub.status.idle": "2024-01-10T00:20:09.771970Z",
"shell.execute_reply": "2024-01-10T00:20:09.771227Z"
}
},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"Xs = np.array([[1, 50], [5, 20], [3, 80], [5, 60]]).astype(np.float64)\n",
"ys = np.array([0, 0, 1, 1])\n",
"svm_clf = SVC(kernel=\"linear\", C=100)\n",
"svm_clf.fit(Xs, ys)\n",
"\n",
"#plt.figure(figsize=(16,4))\n",
"#plt.subplot(121)\n",
"plt.plot(Xs[:, 0][ys==1], Xs[:, 1][ys==1], \"bo\")\n",
"plt.plot(Xs[:, 0][ys==0], Xs[:, 1][ys==0], \"ms\")\n",
"plot_svc_decision_boundary(svm_clf, 0, 6)\n",
"plt.xlabel(\"$x_0$\", fontsize=20)\n",
"plt.ylabel(\"$x_1$ \", fontsize=20, rotation=0)\n",
"plt.title(\"Unscaled\", fontsize=16)\n",
"plt.axis([0, 6, 0, 90]);"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {
"execution": {
"iopub.execute_input": "2024-01-10T00:20:09.775249Z",
"iopub.status.busy": "2024-01-10T00:20:09.774779Z",
"iopub.status.idle": "2024-01-10T00:20:09.988009Z",
"shell.execute_reply": "2024-01-10T00:20:09.987234Z"
}
},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"from sklearn.preprocessing import StandardScaler\n",
"scaler = StandardScaler()\n",
"X_scaled = scaler.fit_transform(Xs)\n",
"svm_clf.fit(X_scaled, ys)\n",
"\n",
"#plt.subplot(122)\n",
"plt.plot(X_scaled[:, 0][ys==1], X_scaled[:, 1][ys==1], \"bo\")\n",
"plt.plot(X_scaled[:, 0][ys==0], X_scaled[:, 1][ys==0], \"ms\")\n",
"plot_svc_decision_boundary(svm_clf, -2, 2)\n",
"plt.xlabel(\"$x_0$\", fontsize=20)\n",
"plt.title(\"Scaled\", fontsize=16)\n",
"plt.axis([-2, 2, -2, 2]);"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"### Hard margin classification\n",
"\n",
"Hard margin classification corresponds to strictly imposing all training instances correctly classfied."
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"#### Problems with hard margin classification\n",
"- Can fail if data not linearly separable.\n",
"- Sensitive to outliers."
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {
"execution": {
"iopub.execute_input": "2024-01-10T00:20:09.991474Z",
"iopub.status.busy": "2024-01-10T00:20:09.990918Z",
"iopub.status.idle": "2024-01-10T00:20:09.999255Z",
"shell.execute_reply": "2024-01-10T00:20:09.998651Z"
}
},
"outputs": [],
"source": [
"X_outliers = np.array([[3.4, 1.3], [3.2, 0.8]])\n",
"y_outliers = np.array([0, 0])\n",
"Xo1 = np.concatenate([X, X_outliers[:1]], axis=0)\n",
"yo1 = np.concatenate([y, y_outliers[:1]], axis=0)\n",
"Xo2 = np.concatenate([X, X_outliers[1:]], axis=0)\n",
"yo2 = np.concatenate([y, y_outliers[1:]], axis=0)\n",
"\n",
"svm_clf2 = SVC(kernel=\"linear\", C=10**9)\n",
"svm_clf2.fit(Xo2, yo2);"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {
"execution": {
"iopub.execute_input": "2024-01-10T00:20:10.002384Z",
"iopub.status.busy": "2024-01-10T00:20:10.001828Z",
"iopub.status.idle": "2024-01-10T00:20:10.200031Z",
"shell.execute_reply": "2024-01-10T00:20:10.199283Z"
}
},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# plt.figure(figsize=(16,5))\n",
"# plt.subplot(121)\n",
"plt.plot(Xo1[:, 0][yo1==1], Xo1[:, 1][yo1==1], \"bs\")\n",
"plt.plot(Xo1[:, 0][yo1==0], Xo1[:, 1][yo1==0], \"yo\")\n",
"plt.text(0.3, 1.0, \"Impossible!\", fontsize=24, color=\"red\")\n",
"plt.xlabel(\"Petal length\", fontsize=14)\n",
"plt.ylabel(\"Petal width\", fontsize=14)\n",
"plt.annotate(\"Outlier\",\n",
" xy=(X_outliers[0][0], X_outliers[0][1]),\n",
" xytext=(2.5, 1.7),\n",
" ha=\"center\",\n",
" arrowprops=dict(facecolor='black', shrink=0.1),\n",
" fontsize=16,\n",
" )\n",
"plt.axis([0, 5.5, 0, 2]);"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {
"execution": {
"iopub.execute_input": "2024-01-10T00:20:10.203351Z",
"iopub.status.busy": "2024-01-10T00:20:10.202872Z",
"iopub.status.idle": "2024-01-10T00:20:10.408005Z",
"shell.execute_reply": "2024-01-10T00:20:10.407286Z"
}
},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# plt.subplot(122)\n",
"plt.plot(Xo2[:, 0][yo2==1], Xo2[:, 1][yo2==1], \"bs\")\n",
"plt.plot(Xo2[:, 0][yo2==0], Xo2[:, 1][yo2==0], \"yo\")\n",
"plot_svc_decision_boundary(svm_clf2, 0, 5.5)\n",
"plt.xlabel(\"Petal length\", fontsize=14)\n",
"plt.annotate(\"Outlier\",\n",
" xy=(X_outliers[1][0], X_outliers[1][1]),\n",
" xytext=(3.2, 0.08),\n",
" ha=\"center\",\n",
" arrowprops=dict(facecolor='black', shrink=0.1),\n",
" fontsize=16,\n",
" )\n",
"plt.axis([0, 5.5, 0, 2]);"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"### Soft margin classification\n",
"\n",
"\n",
"Allow some margin violations by varying hyperparameter $C$.\n",
"\n",
"\n",
"Recall, large $C$ corresponds to small regularisation and thus few margin violations. Small $C$ corresponds to greater regularisation and thus more margin violations."
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"#### Load data"
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {
"execution": {
"iopub.execute_input": "2024-01-10T00:20:10.411326Z",
"iopub.status.busy": "2024-01-10T00:20:10.410852Z",
"iopub.status.idle": "2024-01-10T00:20:10.418578Z",
"shell.execute_reply": "2024-01-10T00:20:10.417946Z"
}
},
"outputs": [],
"source": [
"import numpy as np\n",
"from sklearn import datasets\n",
"from sklearn.pipeline import Pipeline\n",
"from sklearn.preprocessing import StandardScaler\n",
"from sklearn.svm import LinearSVC\n",
"\n",
"iris = datasets.load_iris()\n",
"X = iris[\"data\"][:, (2, 3)] # petal length, petal width\n",
"y = (iris[\"target\"] == 2).astype(np.float64) # Iris-Virginica"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"#### Train SVMs"
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {
"execution": {
"iopub.execute_input": "2024-01-10T00:20:10.421567Z",
"iopub.status.busy": "2024-01-10T00:20:10.421137Z",
"iopub.status.idle": "2024-01-10T00:20:10.424523Z",
"shell.execute_reply": "2024-01-10T00:20:10.423871Z"
}
},
"outputs": [],
"source": [
"# disable convergence warning from early stopping\n",
"from warnings import simplefilter\n",
"from sklearn.exceptions import ConvergenceWarning\n",
"simplefilter(\"ignore\", category=ConvergenceWarning)"
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {
"execution": {
"iopub.execute_input": "2024-01-10T00:20:10.427696Z",
"iopub.status.busy": "2024-01-10T00:20:10.427158Z",
"iopub.status.idle": "2024-01-10T00:20:10.441192Z",
"shell.execute_reply": "2024-01-10T00:20:10.440527Z"
}
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/opt/hostedtoolcache/Python/3.8.18/x64/lib/python3.8/site-packages/sklearn/svm/_classes.py:32: FutureWarning: The default value of `dual` will change from `True` to `'auto'` in 1.5. Set the value of `dual` explicitly to suppress the warning.\n",
" warnings.warn(\n",
"/opt/hostedtoolcache/Python/3.8.18/x64/lib/python3.8/site-packages/sklearn/svm/_classes.py:32: FutureWarning: The default value of `dual` will change from `True` to `'auto'` in 1.5. Set the value of `dual` explicitly to suppress the warning.\n",
" warnings.warn(\n"
]
}
],
"source": [
"scaler = StandardScaler()\n",
"svm_clf1 = LinearSVC(C=1, loss=\"hinge\", random_state=42)\n",
"svm_clf2 = LinearSVC(C=100, loss=\"hinge\", random_state=42)\n",
"\n",
"scaled_svm_clf1 = Pipeline((\n",
" (\"scaler\", scaler),\n",
" (\"linear_svc\", svm_clf1),\n",
" ))\n",
"scaled_svm_clf2 = Pipeline((\n",
" (\"scaler\", scaler),\n",
" (\"linear_svc\", svm_clf2),\n",
" ))\n",
"\n",
"scaled_svm_clf1.fit(X, y);\n",
"scaled_svm_clf2.fit(X, y);"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"#### Compute support vectors"
]
},
{
"cell_type": "code",
"execution_count": 22,
"metadata": {
"execution": {
"iopub.execute_input": "2024-01-10T00:20:10.444584Z",
"iopub.status.busy": "2024-01-10T00:20:10.444121Z",
"iopub.status.idle": "2024-01-10T00:20:10.451499Z",
"shell.execute_reply": "2024-01-10T00:20:10.450894Z"
}
},
"outputs": [],
"source": [
"# Convert to unscaled parameters\n",
"b1 = svm_clf1.decision_function([-scaler.mean_ / scaler.scale_])\n",
"b2 = svm_clf2.decision_function([-scaler.mean_ / scaler.scale_])\n",
"w1 = svm_clf1.coef_[0] / scaler.scale_\n",
"w2 = svm_clf2.coef_[0] / scaler.scale_\n",
"svm_clf1.intercept_ = np.array([b1])\n",
"svm_clf2.intercept_ = np.array([b2])\n",
"svm_clf1.coef_ = np.array([w1])\n",
"svm_clf2.coef_ = np.array([w2])\n",
"\n",
"# Find support vectors (LinearSVC does not do this automatically)\n",
"t = y * 2 - 1 # t = +/-1\n",
"support_vectors_idx1 = (t * (X.dot(w1) + b1) < 1).ravel()\n",
"support_vectors_idx2 = (t * (X.dot(w2) + b2) < 1).ravel()\n",
"svm_clf1.support_vectors_ = X[support_vectors_idx1]\n",
"svm_clf2.support_vectors_ = X[support_vectors_idx2]"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"#### Plot"
]
},
{
"cell_type": "code",
"execution_count": 23,
"metadata": {
"execution": {
"iopub.execute_input": "2024-01-10T00:20:10.454748Z",
"iopub.status.busy": "2024-01-10T00:20:10.454166Z",
"iopub.status.idle": "2024-01-10T00:20:10.900018Z",
"shell.execute_reply": "2024-01-10T00:20:10.899257Z"
},
"scrolled": true
},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 1600x400 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=(16,4))\n",
"plt.subplot(121)\n",
"plt.plot(X[:, 0][y==1], X[:, 1][y==1], \"g^\", label=\"Iris-Virginica\")\n",
"plt.plot(X[:, 0][y==0], X[:, 1][y==0], \"bs\", label=\"Iris-Versicolor\")\n",
"plot_svc_decision_boundary(svm_clf1, 4, 6)\n",
"plt.xlabel(\"Petal length\", fontsize=14)\n",
"plt.ylabel(\"Petal width\", fontsize=14)\n",
"plt.legend(loc=\"upper left\", fontsize=14)\n",
"plt.title(\"$C = {}$\".format(svm_clf1.C), fontsize=16)\n",
"plt.axis([4, 6, 0.8, 2.8])\n",
"\n",
"plt.subplot(122)\n",
"plt.plot(X[:, 0][y==1], X[:, 1][y==1], \"g^\")\n",
"plt.plot(X[:, 0][y==0], X[:, 1][y==0], \"bs\")\n",
"plot_svc_decision_boundary(svm_clf2, 4, 6)\n",
"plt.xlabel(\"Petal length\", fontsize=14)\n",
"plt.title(\"$C = {}$\".format(svm_clf2.C), fontsize=16)\n",
"plt.axis([4, 6, 0.8, 2.8]);"
]
},
{
"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": "slide"
}
},
"source": [
"## Non-linear classification with polynomial features"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"So far we have considered linear classification only.\n",
"\n",
"Most data-sets are not linearly separable."
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"### 1D example \n",
"\n",
"Consider 1D feature space with $x_1$, which is clearly not linearly separable.\n",
"\n",
"However, if augment feature space with $x_2=(x_1)^2$ we see that the resulting 2D feature space is linearly separable."
]
},
{
"cell_type": "code",
"execution_count": 24,
"metadata": {
"execution": {
"iopub.execute_input": "2024-01-10T00:20:10.903323Z",
"iopub.status.busy": "2024-01-10T00:20:10.902893Z",
"iopub.status.idle": "2024-01-10T00:20:10.908148Z",
"shell.execute_reply": "2024-01-10T00:20:10.907548Z"
}
},
"outputs": [],
"source": [
"X1D = np.linspace(-4, 4, 9).reshape(-1, 1)\n",
"X2D = np.c_[X1D, X1D**2]\n",
"y = np.array([0, 0, 1, 1, 1, 1, 1, 0, 0])"
]
},
{
"cell_type": "code",
"execution_count": 25,
"metadata": {
"execution": {
"iopub.execute_input": "2024-01-10T00:20:10.911084Z",
"iopub.status.busy": "2024-01-10T00:20:10.910698Z",
"iopub.status.idle": "2024-01-10T00:20:11.175999Z",
"shell.execute_reply": "2024-01-10T00:20:11.175328Z"
}
},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 1600x400 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=(16, 4))\n",
"plt.subplot(121)\n",
"plt.grid(True, which='both')\n",
"plt.axhline(y=0, color='k')\n",
"plt.plot(X1D[:, 0][y==0], np.zeros(4), \"bs\", markersize=10)\n",
"plt.plot(X1D[:, 0][y==1], np.zeros(5), \"g^\", markersize=10)\n",
"plt.gca().get_yaxis().set_ticks([])\n",
"plt.xlabel(r\"$x_1$\", fontsize=20)\n",
"plt.axis([-4.5, 4.5, -0.2, 0.2])\n",
"\n",
"plt.subplot(122)\n",
"plt.grid(True, which='both')\n",
"plt.axhline(y=0, color='k')\n",
"plt.axvline(x=0, color='k')\n",
"plt.plot(X2D[:, 0][y==0], X2D[:, 1][y==0], \"bs\", markersize=10)\n",
"plt.plot(X2D[:, 0][y==1], X2D[:, 1][y==1], \"g^\", markersize=10)\n",
"plt.xlabel(r\"$x_1$\", fontsize=20)\n",
"plt.ylabel(r\"$x_2$\", fontsize=20, rotation=0)\n",
"plt.gca().get_yaxis().set_ticks([0, 4, 8, 12, 16])\n",
"plt.plot([-4.5, 4.5], [6.5, 6.5], \"r--\", linewidth=3)\n",
"plt.axis([-4.5, 4.5, -1, 17])\n",
"\n",
"plt.subplots_adjust(right=1)"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"### 2D example"
]
},
{
"cell_type": "code",
"execution_count": 26,
"metadata": {
"execution": {
"iopub.execute_input": "2024-01-10T00:20:11.179245Z",
"iopub.status.busy": "2024-01-10T00:20:11.178843Z",
"iopub.status.idle": "2024-01-10T00:20:11.327960Z",
"shell.execute_reply": "2024-01-10T00:20:11.327250Z"
}
},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 1000x500 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"from sklearn.datasets import make_moons\n",
"X, y = make_moons(n_samples=100, noise=0.15, random_state=42)\n",
"\n",
"def plot_dataset(X, y, axes):\n",
" plt.plot(X[:, 0][y==0], X[:, 1][y==0], \"bs\")\n",
" plt.plot(X[:, 0][y==1], X[:, 1][y==1], \"g^\")\n",
" plt.axis(axes)\n",
" plt.grid(True, which='both')\n",
" plt.xlabel(r\"$x_1$\", fontsize=20)\n",
" plt.ylabel(r\"$x_2$\", fontsize=20, rotation=0)\n",
"\n",
"plt.figure(figsize=(10, 5))\n",
"plot_dataset(X, y, [-1.5, 2.5, -1, 1.5])\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 27,
"metadata": {
"execution": {
"iopub.execute_input": "2024-01-10T00:20:11.331500Z",
"iopub.status.busy": "2024-01-10T00:20:11.330810Z",
"iopub.status.idle": "2024-01-10T00:20:11.339010Z",
"shell.execute_reply": "2024-01-10T00:20:11.338465Z"
}
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/opt/hostedtoolcache/Python/3.8.18/x64/lib/python3.8/site-packages/sklearn/svm/_classes.py:32: FutureWarning: The default value of `dual` will change from `True` to `'auto'` in 1.5. Set the value of `dual` explicitly to suppress the warning.\n",
" warnings.warn(\n"
]
}
],
"source": [
"from sklearn.datasets import make_moons\n",
"from sklearn.pipeline import Pipeline\n",
"from sklearn.preprocessing import PolynomialFeatures\n",
"\n",
"polynomial_svm_clf = Pipeline((\n",
" (\"poly_features\", PolynomialFeatures(degree=3)),\n",
" (\"scaler\", StandardScaler()),\n",
" (\"svm_clf\", LinearSVC(C=10, loss=\"hinge\", random_state=42))\n",
" ))\n",
"\n",
"polynomial_svm_clf.fit(X, y);"
]
},
{
"cell_type": "code",
"execution_count": 28,
"metadata": {
"execution": {
"iopub.execute_input": "2024-01-10T00:20:11.342040Z",
"iopub.status.busy": "2024-01-10T00:20:11.341364Z",
"iopub.status.idle": "2024-01-10T00:20:11.553315Z",
"shell.execute_reply": "2024-01-10T00:20:11.552726Z"
}
},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 1000x500 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"def plot_predictions(clf, axes):\n",
" x0s = np.linspace(axes[0], axes[1], 100)\n",
" x1s = np.linspace(axes[2], axes[3], 100)\n",
" x0, x1 = np.meshgrid(x0s, x1s)\n",
" X = np.c_[x0.ravel(), x1.ravel()]\n",
" y_pred = clf.predict(X).reshape(x0.shape)\n",
" y_decision = clf.decision_function(X).reshape(x0.shape)\n",
" plt.contourf(x0, x1, y_pred, cmap=plt.cm.brg, alpha=0.2)\n",
" plt.contourf(x0, x1, y_decision, cmap=plt.cm.brg, alpha=0.1)\n",
"\n",
"plt.figure(figsize=(10,5))\n",
"plot_predictions(polynomial_svm_clf, [-1.5, 2.5, -1, 1.5])\n",
"plot_dataset(X, y, [-1.5, 2.5, -1, 1.5])"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"Adding polynomial features leads to a combinatorial increase in the dimensionality of the feature space and thus is computationally costly."
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "fragment"
}
},
"source": [
"There are much better ways to perform non-linear classification with SVMs, where computational tricks can be exploited..."
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "slide"
}
},
"source": [
"## Non-linear classification with kernels"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"### Similarity features and landmarks\n",
"\n",
"Compute new features based on proximity to landmarks.\n",
"\n",
"Consider landmarks $l^{(1)}$, $l^{(2)}$, $\\ldots$\n",
"\n",
"Then for each training instance $x$, compute features $f_j = \\text{sim}(x, l^{(j)})$, where $\\text{sim(.,.)}$ defines a *similarity* function.\n",
"\n"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"### Similarity functions\n",
"\n",
"The Gaussian radial basis function (RBF) is a common *similarity function*:\n",
"\n",
"$$\n",
"\\phi_\\gamma(x,l) = exp( - \\gamma \\| x-l \\|^2),\n",
"$$\n",
"\n",
"where $\\gamma$ controls the width of the kernel.\n",
"\n"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"### 1D example (from above)\n",
"\n",
"Consider landmarks at $x_1=-2$ and $x_1=1$."
]
},
{
"cell_type": "code",
"execution_count": 29,
"metadata": {
"execution": {
"iopub.execute_input": "2024-01-10T00:20:11.556833Z",
"iopub.status.busy": "2024-01-10T00:20:11.556239Z",
"iopub.status.idle": "2024-01-10T00:20:11.561660Z",
"shell.execute_reply": "2024-01-10T00:20:11.561119Z"
}
},
"outputs": [],
"source": [
"def gaussian_rbf(x, landmark, gamma):\n",
" return np.exp(-gamma * np.linalg.norm(x - landmark, axis=1)**2)\n",
"\n",
"gamma = 0.3\n",
"\n",
"x1s = np.linspace(-4.5, 4.5, 200).reshape(-1, 1)\n",
"x2s = gaussian_rbf(x1s, -2, gamma)\n",
"x3s = gaussian_rbf(x1s, 1, gamma)\n",
"\n",
"XK = np.c_[gaussian_rbf(X1D, -2, gamma), gaussian_rbf(X1D, 1, gamma)]\n",
"yk = np.array([0, 0, 1, 1, 1, 1, 1, 0, 0])"
]
},
{
"cell_type": "code",
"execution_count": 30,
"metadata": {
"execution": {
"iopub.execute_input": "2024-01-10T00:20:11.564642Z",
"iopub.status.busy": "2024-01-10T00:20:11.563993Z",
"iopub.status.idle": "2024-01-10T00:20:11.979858Z",
"shell.execute_reply": "2024-01-10T00:20:11.979177Z"
}
},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 1600x400 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=(16, 4))\n",
"plt.subplot(121)\n",
"plt.grid(True, which='both')\n",
"plt.axhline(y=0, color='k')\n",
"plt.scatter(x=[-2, 1], y=[0, 0], s=150, alpha=0.5, c=\"red\")\n",
"plt.plot(X1D[:, 0][yk==0], np.zeros(4), \"bs\", markersize=10)\n",
"plt.plot(X1D[:, 0][yk==1], np.zeros(5), \"g^\", markersize=10)\n",
"plt.plot(x1s, x2s, \"g--\")\n",
"plt.plot(x1s, x3s, \"b:\")\n",
"plt.gca().get_yaxis().set_ticks([0, 0.25, 0.5, 0.75, 1])\n",
"plt.xlabel(r\"$x_1$\", fontsize=20)\n",
"plt.ylabel(r\"Similarity\", fontsize=14)\n",
"plt.annotate(r'$\\mathbf{x}$',\n",
" xy=(X1D[3, 0], 0),\n",
" xytext=(-0.5, 0.20),\n",
" ha=\"center\",\n",
" arrowprops=dict(facecolor='black', shrink=0.1),\n",
" fontsize=18,\n",
" )\n",
"plt.text(-2, 0.9, \"$x_2$\", ha=\"center\", fontsize=20)\n",
"plt.text(1, 0.9, \"$x_3$\", ha=\"center\", fontsize=20)\n",
"plt.axis([-4.5, 4.5, -0.1, 1.1])\n",
"\n",
"plt.subplot(122)\n",
"plt.grid(True, which='both')\n",
"plt.axhline(y=0, color='k')\n",
"plt.axvline(x=0, color='k')\n",
"plt.plot(XK[:, 0][yk==0], XK[:, 1][yk==0], \"bs\", markersize=10)\n",
"plt.plot(XK[:, 0][yk==1], XK[:, 1][yk==1], \"g^\", markersize=10)\n",
"plt.xlabel(r\"$x_2$\", fontsize=20)\n",
"plt.ylabel(r\"$x_3$ \", fontsize=20, rotation=0)\n",
"plt.annotate(r'$\\phi\\left(\\mathbf{x}\\right)$',\n",
" xy=(XK[3, 0], XK[3, 1]),\n",
" xytext=(0.65, 0.50),\n",
" ha=\"center\",\n",
" arrowprops=dict(facecolor='black', shrink=0.1),\n",
" fontsize=18,\n",
" )\n",
"plt.plot([-0.1, 1.1], [0.57, -0.1], \"r--\", linewidth=3)\n",
"plt.axis([-0.1, 1.1, -0.1, 1.1])\n",
" \n",
"plt.subplots_adjust(right=1)"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"Training data *are* linearly separable in new feature space."
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "subslide"
},
"tags": [
"inclass_exercise"
]
},
"source": [
"### Exercise: What are new feature values corresponding to the instance at $x_1=-1$ ($\\gamma=0.3$)?"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "fragment"
},
"tags": [
"solution",
"inclass_exercise"
]
},
"source": [
"$x_2 = \\exp(-0.3 \\times (1)^2) = 0.74$\n",
"\n",
"$x_3 = \\exp(-0.3 \\times (2)^2) = 0.30$\n",
"\n",
"Let's check:"
]
},
{
"cell_type": "code",
"execution_count": 31,
"metadata": {
"execution": {
"iopub.execute_input": "2024-01-10T00:20:11.983440Z",
"iopub.status.busy": "2024-01-10T00:20:11.982863Z",
"iopub.status.idle": "2024-01-10T00:20:11.987586Z",
"shell.execute_reply": "2024-01-10T00:20:11.987051Z"
}
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Phi(-1.0, -2) = [0.74081822]\n",
"Phi(-1.0, 1) = [0.30119421]\n"
]
}
],
"source": [
"x1_example = X1D[3, 0]\n",
"for landmark in (-2, 1):\n",
" k = gaussian_rbf(np.array([[x1_example]]), np.array([[landmark]]), gamma)\n",
" print(\"Phi({}, {}) = {}\".format(x1_example, landmark, k))"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"### How set landmarks?"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "fragment"
}
},
"source": [
"Common approach is to set a landmark at the location of each instance in the training data-set."
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"### Kernel trick"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"For SVMs it is not necessary to actually compute new features for each kernel.\n",
"\n",
"Instead, can be done implicitly, providing *considerable* computational saving."
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "fragment"
}
},
"source": [
"SVM are well suited for small to medium sized data-sets, with complex structure."
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "fragment"
}
},
"source": [
"The kernel trick is based on Mercer's theorem."
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"#### Mercer's theorem\n",
"\n",
"For (feature) mapping function $\\phi(x)$, the inner product of two transformed vectors can be computed implicitly by the evaluation of the kernel function $K$ by\n",
"$\n",
"K(x,z) = \\langle \\phi(x), \\phi(z) \\rangle .\n",
"$\n",
"\n",
"There is therefore no need to explicitly compute $\\phi(x)$.\n",
"\n",
"Moreoever, it is not necessary to even know the explicit form of the (feature) mapping function $\\phi(x)$.\n"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "fragment"
}
},
"source": [
"(We will not cover the kernel trick and Mercer's theorem in any further detail.)"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"### Common kernels\n",
"\n",
"Some common similarity function, or *kernel*, include the following.\n",
"\n",
"1. Gaussian radial basis function (RBF):\n",
"$\n",
"K_\\gamma(x,l) = exp( - \\gamma \\| x-l \\|^2),\n",
"$\n",
"where $\\gamma$ controls the width of the kernel.\n",
"\n",
"2. Polynomial kernel:\n",
"$\n",
"K_{c, d}(x,l) = (x^{\\rm T}l + c)^d,\n",
"$\n",
"for constant offset $c$ and degree $d$.\n",
"\n",
"3. Linear kernel, i.e. linear SVM:\n",
"$\n",
"K(x,l) = x^{\\rm T}l.\n",
"$\n"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"### 2D example (from above)"
]
},
{
"cell_type": "code",
"execution_count": 32,
"metadata": {
"execution": {
"iopub.execute_input": "2024-01-10T00:20:11.991176Z",
"iopub.status.busy": "2024-01-10T00:20:11.990615Z",
"iopub.status.idle": "2024-01-10T00:20:12.002315Z",
"shell.execute_reply": "2024-01-10T00:20:12.001682Z"
}
},
"outputs": [],
"source": [
"from sklearn.svm import SVC\n",
"\n",
"gamma1, gamma2 = 0.1, 5\n",
"C1, C2 = 0.001, 1000\n",
"hyperparams = (gamma1, C1), (gamma1, C2), (gamma2, C1), (gamma2, C2)\n",
"\n",
"svm_clfs = []\n",
"for gamma, C in hyperparams:\n",
" rbf_kernel_svm_clf = Pipeline((\n",
" (\"scaler\", StandardScaler()),\n",
" (\"svm_clf\", SVC(kernel=\"rbf\", gamma=gamma, C=C))\n",
" ))\n",
" rbf_kernel_svm_clf.fit(X, y)\n",
" svm_clfs.append(rbf_kernel_svm_clf)"
]
},
{
"cell_type": "code",
"execution_count": 33,
"metadata": {
"execution": {
"iopub.execute_input": "2024-01-10T00:20:12.005352Z",
"iopub.status.busy": "2024-01-10T00:20:12.004809Z",
"iopub.status.idle": "2024-01-10T00:20:13.099222Z",
"shell.execute_reply": "2024-01-10T00:20:13.098533Z"
}
},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 1600x800 with 4 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=(16, 8))\n",
"\n",
"for i, svm_clf in enumerate(svm_clfs):\n",
" plt.subplot(221 + i)\n",
" plot_predictions(svm_clf, [-1.5, 2.5, -1, 1.5])\n",
" plot_dataset(X, y, [-1.5, 2.5, -1, 1.5])\n",
" gamma, C = hyperparams[i]\n",
" plt.title(r\"$\\gamma = {}, C = {}$\".format(gamma, C), fontsize=16)"
]
},
{
"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": [
"## Regression"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "fragment"
}
},
"source": [
"Can also use SVMs to perform regression, in addition to classification.\n",
"\n",
"General idea is to reverse the objective: rather than fitting the largest possible margin between two classes, SVM regression fits as many instances as possible within the margin. \n",
"\n",
"The width of the margin is controlled by the hyperparameter $\\epsilon$."
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"### Linear regression"
]
},
{
"cell_type": "code",
"execution_count": 34,
"metadata": {
"execution": {
"iopub.execute_input": "2024-01-10T00:20:13.103087Z",
"iopub.status.busy": "2024-01-10T00:20:13.102462Z",
"iopub.status.idle": "2024-01-10T00:20:13.107290Z",
"shell.execute_reply": "2024-01-10T00:20:13.106674Z"
}
},
"outputs": [],
"source": [
"np.random.seed(42)\n",
"m = 50\n",
"X = 2 * np.random.rand(m, 1)\n",
"y = (4 + 3 * X + np.random.randn(m, 1)).ravel()"
]
},
{
"cell_type": "code",
"execution_count": 35,
"metadata": {
"execution": {
"iopub.execute_input": "2024-01-10T00:20:13.110249Z",
"iopub.status.busy": "2024-01-10T00:20:13.109685Z",
"iopub.status.idle": "2024-01-10T00:20:13.118040Z",
"shell.execute_reply": "2024-01-10T00:20:13.117503Z"
}
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/opt/hostedtoolcache/Python/3.8.18/x64/lib/python3.8/site-packages/sklearn/svm/_classes.py:32: FutureWarning: The default value of `dual` will change from `True` to `'auto'` in 1.5. Set the value of `dual` explicitly to suppress the warning.\n",
" warnings.warn(\n",
"/opt/hostedtoolcache/Python/3.8.18/x64/lib/python3.8/site-packages/sklearn/svm/_classes.py:32: FutureWarning: The default value of `dual` will change from `True` to `'auto'` in 1.5. Set the value of `dual` explicitly to suppress the warning.\n",
" warnings.warn(\n"
]
}
],
"source": [
"from sklearn.svm import LinearSVR\n",
"\n",
"svm_reg1 = LinearSVR(epsilon=1.5, random_state=42)\n",
"svm_reg2 = LinearSVR(epsilon=0.5, random_state=42)\n",
"svm_reg1.fit(X, y)\n",
"svm_reg2.fit(X, y)\n",
"\n",
"def find_support_vectors(svm_reg, X, y):\n",
" y_pred = svm_reg.predict(X)\n",
" off_margin = (np.abs(y - y_pred) >= svm_reg.epsilon)\n",
" return np.argwhere(off_margin)\n",
"\n",
"svm_reg1.support_ = find_support_vectors(svm_reg1, X, y)\n",
"svm_reg2.support_ = find_support_vectors(svm_reg2, X, y)\n",
"\n",
"eps_x1 = 1\n",
"eps_y_pred = svm_reg1.predict([[eps_x1]])"
]
},
{
"cell_type": "code",
"execution_count": 36,
"metadata": {
"execution": {
"iopub.execute_input": "2024-01-10T00:20:13.120834Z",
"iopub.status.busy": "2024-01-10T00:20:13.120604Z",
"iopub.status.idle": "2024-01-10T00:20:13.125151Z",
"shell.execute_reply": "2024-01-10T00:20:13.124515Z"
}
},
"outputs": [
{
"data": {
"text/plain": [
"array([6.52640746])"
]
},
"execution_count": 36,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"eps_y_pred"
]
},
{
"cell_type": "code",
"execution_count": 37,
"metadata": {
"execution": {
"iopub.execute_input": "2024-01-10T00:20:13.128852Z",
"iopub.status.busy": "2024-01-10T00:20:13.128404Z",
"iopub.status.idle": "2024-01-10T00:20:13.611003Z",
"shell.execute_reply": "2024-01-10T00:20:13.610305Z"
}
},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 1600x500 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"def plot_svm_regression(svm_reg, X, y, axes):\n",
" x1s = np.linspace(axes[0], axes[1], 100).reshape(100, 1)\n",
" y_pred = svm_reg.predict(x1s)\n",
" plt.plot(x1s, y_pred, \"k-\", linewidth=2, label=r\"$\\hat{y}$\")\n",
" plt.plot(x1s, y_pred + svm_reg.epsilon, \"k--\")\n",
" plt.plot(x1s, y_pred - svm_reg.epsilon, \"k--\")\n",
" plt.scatter(X[svm_reg.support_], y[svm_reg.support_], s=180, facecolors='#FFAAAA')\n",
" plt.plot(X, y, \"bo\")\n",
" plt.xlabel(r\"$x_1$\", fontsize=18)\n",
" plt.legend(loc=\"upper left\", fontsize=18)\n",
" plt.axis(axes)\n",
"\n",
"plt.figure(figsize=(16, 5))\n",
"plt.subplot(121)\n",
"plot_svm_regression(svm_reg1, X, y, [0, 2, 3, 11])\n",
"plt.title(r\"$\\epsilon = {}$\".format(svm_reg1.epsilon), fontsize=18)\n",
"plt.ylabel(r\"$y$\", fontsize=18, rotation=0)\n",
"#plt.plot([eps_x1, eps_x1], [eps_y_pred, eps_y_pred - svm_reg1.epsilon], \"k-\", linewidth=2)\n",
"plt.annotate(\n",
" '', xy=(eps_x1, eps_y_pred), xycoords='data',\n",
" xytext=(eps_x1, eps_y_pred - svm_reg1.epsilon),\n",
" textcoords='data', arrowprops={'arrowstyle': '<->', 'linewidth': 1.5}\n",
" )\n",
"plt.text(0.91, 5.6, r\"$\\epsilon$\", fontsize=20)\n",
"plt.subplot(122)\n",
"plot_svm_regression(svm_reg2, X, y, [0, 2, 3, 11])\n",
"plt.title(r\"$\\epsilon = {}$\".format(svm_reg2.epsilon), fontsize=18);"
]
},
{
"cell_type": "markdown",
"metadata": {
"slideshow": {
"slide_type": "subslide"
}
},
"source": [
"### Non-linear regression"
]
},
{
"cell_type": "code",
"execution_count": 38,
"metadata": {
"execution": {
"iopub.execute_input": "2024-01-10T00:20:13.614588Z",
"iopub.status.busy": "2024-01-10T00:20:13.614131Z",
"iopub.status.idle": "2024-01-10T00:20:13.619620Z",
"shell.execute_reply": "2024-01-10T00:20:13.618994Z"
}
},
"outputs": [],
"source": [
"np.random.seed(42)\n",
"m = 100\n",
"X = 2 * np.random.rand(m, 1) - 1\n",
"y = (0.2 + 0.1 * X + 0.5 * X**2 + np.random.randn(m, 1)/10).ravel()"
]
},
{
"cell_type": "code",
"execution_count": 39,
"metadata": {
"execution": {
"iopub.execute_input": "2024-01-10T00:20:13.622590Z",
"iopub.status.busy": "2024-01-10T00:20:13.622133Z",
"iopub.status.idle": "2024-01-10T00:20:13.634075Z",
"shell.execute_reply": "2024-01-10T00:20:13.633427Z"
}
},
"outputs": [],
"source": [
"from sklearn.svm import SVR\n",
"\n",
"svm_poly_reg1 = SVR(kernel=\"poly\", degree=2, C=100, epsilon=0.1)\n",
"svm_poly_reg2 = SVR(kernel=\"poly\", degree=2, C=0.01, epsilon=0.1)\n",
"svm_poly_reg1.fit(X, y);\n",
"svm_poly_reg2.fit(X, y);"
]
},
{
"cell_type": "code",
"execution_count": 40,
"metadata": {
"execution": {
"iopub.execute_input": "2024-01-10T00:20:13.637220Z",
"iopub.status.busy": "2024-01-10T00:20:13.636764Z",
"iopub.status.idle": "2024-01-10T00:20:14.087863Z",
"shell.execute_reply": "2024-01-10T00:20:14.087257Z"
}
},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 1600x500 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=(16, 5))\n",
"plt.subplot(121)\n",
"plot_svm_regression(svm_poly_reg1, X, y, [-1, 1, 0, 1])\n",
"plt.title(r\"$degree={}, C={}, \\epsilon = {}$\".format(svm_poly_reg1.degree, svm_poly_reg1.C, svm_poly_reg1.epsilon), fontsize=18)\n",
"plt.ylabel(r\"$y$\", fontsize=18, rotation=0)\n",
"plt.subplot(122)\n",
"plot_svm_regression(svm_poly_reg2 , X, y, [-1, 1, 0, 1])\n",
"plt.title(r\"$degree={}, C={}, \\epsilon = {}$\".format(svm_poly_reg2.degree, svm_poly_reg2.C, svm_poly_reg2.epsilon), fontsize=18);"
]
}
],
"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": "3.13.1"
}
},
"nbformat": 4,
"nbformat_minor": 4
}