{ "metadata": { "name": "" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Linear Regression -" ] }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "Lance Martin" ] }, { "cell_type": "heading", "level": 4, "metadata": {}, "source": [ "Preface - " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "These are notes I wrote for myself while studying for PhD qualifying exams at Stanford. \n", "\n", "I wanted to published them so that others could benefit.\n", "\n", "They draw from two sources:\n", "\n", "* CS229, an excellent machine learning class at Stanford taught by Andrew Ng.\n", "* An Introduction to Statistical Learning (ISL), an excellent text by G. James, D. Witten, T. Hastie and R. Tibshirani (Springer, 2013).\n", "\n", "Some of the figures are taken from ISL with permission from the authors." ] }, { "cell_type": "heading", "level": 4, "metadata": {}, "source": [ "Basics -" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Linear regression is a parametric linear model that captures the relationship between $y$ and $X$:\n", "\n", "$y = h_{\\theta}(X) = \\sum\\limits_{i=0}^n \\theta_i x_i = \\theta^T X $. \n", "\n", "* $y$ is a real number.\n", "* $X$ is a vector of $n$ features.\n", "* $\\theta$ is a vector of $n$ parameters, which we will learn using the methods below.\n", "\n", "It is discriminatative, meaning that it will try to learn the output $y$ given a set of features, $P(y \\mid X)$." ] }, { "cell_type": "heading", "level": 4, "metadata": {}, "source": [ "Assumptions - " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Additive - The effect of changes in a predictor $X_j$ is independent of the values of the other predictors.\n", "\n", "Linear - Change in the response Y due to a one-unit change in $X_j$ is constant, regardless of the value of $X_j$." ] }, { "cell_type": "heading", "level": 4, "metadata": {}, "source": [ "Learning strategy 1: Minimize sum of squared error with gradient descent - " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "One idea is to learn parameters ($\\theta$) that minimize the squared error between the model ($\\theta^T X$) and measured target ($Y$) for our $m$ training examples.\n", "\n", "In CS229, the objective is defined below (ISL defines this as residual sum of squares, or RSS):\n", "\n", "$J(\\theta) = \\frac{1}{2} \\sum\\limits_{i=1}^m (h_{\\theta} (X^i) - y^i)^2$\n", "\n", "This cost fuction is convex quadratic, meaning it has a single global minimum.\n", "\n", "This is shown below using $\\theta = (\\beta_o,\\beta_1)$." ] }, { "cell_type": "code", "collapsed": false, "input": [ "from IPython.display import Image\n", "i = Image(filename=os.getcwd()+'/Images/RSS.png') # from the ISL text.\n", "i" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "png": 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yQoIhR9akP11OPxg6MkBpB0o80EOzNgCduYXn2w9yye0BdOGeSusWxeQiWK20\n9XqLx8lMrV0znxw/ecP3sB49eiXlyiST8FZh5CPIDMmTxZEt28/humGFql1R2ElRXNgwP3cbcifx\nUbUrXyaLrFp7XFKmjCvHj7vDWeK1kGjRvnVJPa7gm1nz+yV69OhSpkwZ9eUNB5Dz58+rduzoUaPk\n9u3bypmCFTvO3cWKZSDPBPZRajAXCBnmnNygkZukRuWc4qAJDz/NMP8BLqElcfLMLTnleluu33wC\nZlgMgKt4kimDvdSE2fX/hcctmdh/sSyBW0u2WuVlftNM/1rki9iXKC+TayaXHEk5l+IhM5wmy9A1\nN6VgmxRqWXqOLp/bEu4G7xRoJHBcBC01thDj2EZVACVb5sTYh0RaPuZf2eWfFFTtjUrzAMyBzprY\nUNnR/WQx/ZAFZ+Dz588yZswY2YOB8enTp0s6mKKbY3hCS+4OyAxknFaG20NmsE8JtBi7nS8qBwgP\nj2/zdHZwftiDTkvHdqVl5NgtYmsbDeDtucyef1/GjayjqnMPH3mo13N+btMWV3GqkE12770gCeLF\nkDuo+jEI+D58/KREiCldosO8M8Cb3IwZM6qvNm3bopX+QgG7gwcPyojhw8Xe3l7N2hHYZYKQMZcP\njNBgLhCyumDZISU/Ur2SQVgyEDZhlqv8DNeLoyfcZc/+SwBxtyUu2hs5siaR+tB2ypwx0e9FlD2u\nSOsqq+RGgbyyaE1BcbAJ+/85+IwWiHUcSaOAHJ+2kazFw8ta+Vb2DhPmL4mC9ge/7HDnTGKKMaip\ndtL1lixF66T/sA2SGsCyWOF0UhDDz1xehyEDFEatXD6bDB2zWc/PhbI3xcOHD6Vz585gbsZS/pjR\nokUz0wx4Y572i5qH+/LFW+YuOCDdu5RFm9WgMccbclbqy5fNjJbpYXWMJENMmbFbBvatrKRKqCNH\nm6+P8Nlev+mUVKmYzdeLlfpzJ066K7DYq3sFRZwwrps3inSMyJ4tmY/kSeB8uJvpiTH73Y4ZM6ZU\nRNuVX1+/fpUzrq5yAMBuELQWnzx+rDTvCjg6qqodK3ymCg3mTJVJn/VcdLsvW3ackzmTG5l4zea7\nuvNoX+zEne5+XMCSY66kVLEM0hGG1f5pP19cvVVOSRyZ3DKrRPV8Lu4vAdCsrCVRwkhyYYeLPIyf\nSUpn/CJz2s2RKw2qyfL6qeTzo4syee1HSd7Gbx84acBi41c9eJNSBd4VelI7nC/IVHgsZsc8TfFC\n6SR3zuS/B53me5r8tee1q+WSIyduyGrMF1VFVUOH5WfgAFh9ffv0kUYQWW3YsKHZHzDn4wjkGOcu\n3MWcXExhRY2PM6yswqo5t/qYFV2+6piy8aLbA9umBGjPnr9RQI7LxgRDNSwspejRSg9XVYlD1Y+/\nF8jnoEAe3SMYDrhJPOByRVyhP9elAwhcNtQd1YBOJcfCvoWBb2/WbNnUV0ewvJ88eSL8P9qFmbt/\nAO4oXkxgRy/ZtOnS/dHRazD3R+n78cUEAINHb5au7UqGemFgehJuh4jmui2n1XxacVS45kxqJLHR\nyvR/vJdL52mn81ba1pn87eVRs8qO9YXFddphmV7cDmAulbQdkEGcBqySfAsMi9kUKyIrKsf/9ho/\n/maNu/K8uVKoL87WHIBI6JqNJ2XMlB1SpnhGqVQui9KV8uPqLG4xtgp6dy0rLTsuUq1pWn/psMwM\nsLowceJE2bRxo0zAz8yZM1vEgabErGwSyO7QzitHtqSqklYTGnEU/+VzLyBNMnPOXhk6qCrcAZ6B\nuOChwN9WuPiULpnJl9XKZCRPFltV9xrVd5SDLpdRiYuoqnKs2u3CjWyj+gVUG5ZkinjxbBRgvIJO\nQN7cKaV40Qx47iedBovIsj6I7zMQJ04cJdtD6Z5Pnz7JqVOnFEP277//ltevX0t+gDoCu7xwrCCb\n1j+hwZx/svUfy05BBYfzVnlypviPJS33ac6frEXLYSfuSNlC7dW5rCIX/NkRW0u1CX2k2i9W0mg9\nqgU+z8UvUFGO7SiBC+07+RQuksS3/XPyCVusBHD8IrFlFapRjdrMk+w416xKkdUWGoPzhy0aF5R/\nMB86fXx9XbG0wDfBU1QSunTpIhGtrWXN2rWoItlYxFHS+WHVmuPSAfqJnbotgVtDIjmN+V2SGNq1\nLgYW62u5ev2RAmT7D16BEHBOOYvqHYOAjCAtD4CYMWJjZOQyyBMnT9+Unt0qwPMT/q4+lbgUyePI\nUSgbDOhTSfoMWIORjYjwazW0c3mj+NLDEze57B7o6pwxn6Hhp5WVleTOnVt9devWTe7du6eA3XrY\n4PVGBTwdKnUEdo6o3KVI+e299qvc6OnLX2XGn48fOX5d/bO3BaspNAZV0Qdgzqx9j6XwJIwg86c2\nln5oRZAlGuQRzlps48UyCZD7977HjRNdeI5XzmsJNqy9jJywTdriw+A0WiahMQhw48eLLguWHgqN\nh2/Rx3wUgqnVqlVTsz20PrIUIMeT9vadlzjvuySRca2iGHAKENXo1rAE885ZMiWR9JgLvXjpvjq/\ny1cdVTNv9+8byA18kJX74xgzaNuquKq48W/eyM5feBCts7iqiqdejG+JEsaSrWC9xsXNTwVU9F9B\nuoSdC0biRLYyccpOyJ68wV/aHUIlJZR+S5gwodSqVUumTpsmLi4u0qRJE3n06JG0a9dOxo+fIE+f\nPv1tZjSY+216/PYk/zHHTd0lPTuVVSKTfnuVZSz1COrnw8Ds6txruaRNHV9WAOQ0qQc6NoaFLTl4\n8a5ULqssmN4UZICsMmnmHunUc5li6Frycf/s2Lp3KC3bdp2Tqzce/+xp/ZiZZYBM86lTpkhPGJOP\nBmu1GbS1LCu85cOHzwbwteiANG9SSF2vOA/37LmnbN5yRpIljaOqcjxuVtjsAcgaYHbOGGR1T5m+\nW83Q5suTUlXsKa9EjTlKnaTBtdAYdIK4deepTJq6U+rUzCs3wNw3RgzMy1EeZfNWV1XNMz6uf4bu\nDESIEEHdRPXq3UtmzVkgZ8+6KsmT32VFg7nfZcePz82Ytw+t1eQAM8FQhfLjPpp6MdL6J0zfJc07\nLpAE8W1kyezmUr1SzlA5+0FG7LwpjaVEkfQycMQGZXvFu/TQEvxgawbh1DGTdviy+ULLsVvacVJW\noSkqAicgfrp6zRrJnt0yyS03bhpuPA4fvY425zsl8GuUFVm36YQiZ5HtyqCuHCVInkA0uFSJDJIa\nTFUPeLBSM27N+hPSuH5BVPW+3cjY2sKvFSxXzslRkJhtWTo/nDt/VwFE43xpFPzfUJrk0WMPSKIc\ngODwE/H2/mppbyl9PAHOgDf8xT1k4SJnKVyo5H/+L2owF+BEG15I9uohzEPwwyy0xI49F6R+yznq\nQrRoRjNpUCufRIxgFVoO/5fHWbp4Blk8s7lkwfxNm66LZd4SF1+22y9fZCFPlCyaHi0ryMBgXlKH\neWaAw9hVKleWLFmyyNy5c4NM7DSos/X1q7ec+W4sYtee80JPVhQkVTiA0c6bMTJWGVkyJ1XacNNn\nOaOylk+yZk4i164bwNvGza7iBTuzd2jbGiN6tEgybuJ2MFsha+SYGpW6b5U4VumiQkSerFeSLm7f\nea62+wkixBFwDaUwsW63GjMZWn96q88NWsN16TFfTh7fJNFtrP8zGRrM/WeKfr3AZ2gRjYbLQ7vm\nRUOFDpn7rafSvvtSWbf5tAwfWFXNjvlHXuTXmbScZyhnUKVCdpk9qaG6C2/Qao4c/U5F3nKO9P+P\npAuGyRctPyJPnr7+/yf1IyE6A7NnzZLOnTrJ0KFDpS1mdAJL2DQkJIHkhQZ1CvjuSrq0mI/DTXn7\nNiXUY1kxM3cKepPPwWatBuF3iphfufJQzdCdPXdbAbELkFtiUI/OOmIEKVs6s4QPH051KT6i3Uox\n4jXrTogTRjAuuhmW5fKsYo/CWAotwLJmSez7HF9LS7AJYMtzuxrQMVuhMbzBauU8J8Spuy2WRw/v\nSKlSJaRQocL/mQwN5v4zRb9eYPmaYxI/bnQlKvvrpcz/GYLW6XP3SZc+K9BKTCfTx9XXzhb/cVpt\nY0WV/n9XVDI1k2c6q3m6V68hamzBQYX8qk7Z0X7fbcFHaVmH5uHhIS1btlTaV6vhrZonb17LOsCf\nHM2Ll56KqVrVR9Q9OebjCLxyZk+m2qKpQdoi+WHG7L1SEWAsFSp1190Nw+cUF44EdvtLtFkZBGDh\ncAPncviadOtUWrLD4u6Gz+zohs2nUGH5IrFxLWA4OMRTM3Vc97YdZ5Vo8A34tTKy4XWsBlJ/js8Z\nCRLqSf0tlGTAW/jeXLTURQYNXQ+izBtxSGEDsk04WL/9t7iwBnMBfJs8RvVhJS4AHcBmsuSgR2rr\nzouEnqbzpzaRcqX+baFlyUf/58eWDS0ZMntTgi3XpO1ci2e91qqaS7WkyO7WEbIzcObMGaV5lcrB\nQebNny+xoYFl+eGtSA4zICNFqy3Ow1GO5Co8obdsOyNdOpYG6zQ6tOeeqvYoJUUSJYqlKm3MzYuX\nbxUDtmE9R5Uqujk8gVzR3AX7oU0XX3LmSCbGqh3k+fBBbCWFCqZVIDEL7MKu+7Rn6f0aJVJEAMV4\naj2ZsZ5LqA4y5i86qNwnWPXTERoyQELOJ8xMPpX7mLU0Oo54ebpJ0sTRwY5O7qckhGgw99nzpTwF\nUg2JMQXzE9WccihLqpC4f6bYp+27z6u2KgHcP70r+cuxwRTbt5R1UBC0ddMiENktL0PRYpk5f79q\nz1jK8X1/HOEw0N0OpuWT8f9Bdp+OkJmBBQsWSHu0U+no0An2XGHDhh7R2vMX76qZN+rKde1YFvNu\n1Hp7pyy5bCFqTl1J+qcylq06ItGiWqtl+He6tHbQA3uhbJpIhqBjxGW0YMl4nQNA55Ayvty69YyL\nKsme9+8/yWrc9Pfr5SRp0iQA0DNo1UWNYq3kUYrDDYeyKClSxpUrVx+p17G6d/joNQUodbtVpcSC\nv3nLS9wgbN1xRu49eCEbMMLE8Pb+AteIPJIwYXzJlSuXn44/ZIE5rxsyJHcSmez6Um6s7SYp02eR\nnFnSS9Lqk+XBZz8dT5AsRE0xDrXWRhXCEuMtLm4DR2xUlcfxw2tJBcyD6PjzDJAYQRcMavK1675E\nVTv/fK0hbw20PnPAB9QqMP10hKwMUGWeulXbtm2TFStXSsFChULWDgby3rx9+1HOnTMAqkXQRswA\nrcgb7oZWpwJeEBKmfzMZqIx0ae2V1Ej/3k7q72xZkgoH06dO3yP1audXlTVKizAOokVK9mru3IZK\nSg54r3Ld6zacUJWXVLDxIuGBkRPadtS1m4sbuz5/VxBbSDlRGoWREVW6s7ASHD56E5iumhChkmKB\n3ygBROu4MdAqnQbP34QJYspBWF4y3r66gG5OJAixe+P96DeY5relgiiRD/ZPl9kFZkjLDI9lcOfb\nsujEdZQeL8uMxItl6PY7QbQXv98MT8BkaIq1bFJYsTl/v7T5PXsHb66WnRZCdymyzBjfQIw0evM7\nkpC5xySMDIFRN9mfFBs+AcV4S4zmjQrKcnhYGmeLLPEYze2YLl28KNVgI5TQzk4WL14s8eN/00Iz\nt2MJ2P56i5fXR4Amw/zb06dvIO77EppysX1XR8FfVtlIfGDwBowfsJ8gU0KSA2VJ2EZ1g9vDseM3\nJCm8pu/cNYCwRLC0ozVYgbyphL+nRRWPVUD6v46ZuA1i6hF9wJlAlNhOLly8J3v3u+HnfVg3RVAy\nFNwmK3W0+uJs3ZZtrmrOTlfomBlLCW/l/Q1HROncY4kSr65eNbdyD+F778uX9xInrq3kyJFRcsEh\nwq8RosDc57fv4FsXB0Ol2P14mSRVbP4SUZLjTuXGLcMdjV8PLLCW2wrfvhgxIkv+76xcAmtbQb3e\nYyfdpePfy6Ru9TyKqUpmpo7AyUDFMllkMFrXoyBhsHLd8cDZSDCulVZf5UtllrmLXYJxL/SmjRlY\nvny5tGjRQrp17y494AMZTl1kjc+Gnp+8GW/XpqTvAcdERYyONZx9Y3C2dd7CA1IR83SRILVjdIaY\nOWcfAF52iQcHGGMFbSEG1aNFjSQfIUDMIIHC7fJ9Wbr8sPTuUUG5O1BAmBEDc3mvQYAaMaSG+jtZ\nkjhy3Yf8cPb8HbRkYygpEz4ZE58vxm0kwOOc23sL2y8dlpABb8xYvpZXr99JtTqT1Iwcj6pAvlSy\nfec5dYBJElnJtMnd5OnjO5IkSRL1mF++hSgwl6hEU8k2qZIkbTQJejuzJGf1bjKmbyMp1u+1dK+R\nxS/HE6jLfAClndphzS1QU27DFlcAi20ytJ+hahSoidQrVxmgp+sMeJrudL4kYyBxY2kDzyRDuBy5\nJqz26gieDLx9+1a6YCZuFVqqS5ctk2LFigXPjoSQrR7HDWsMaL1lg280wRolQWbO2Qs/VgORjeCO\nRITDR65Kp3Yl1Y07B9M5F3fiFF4LoEXZEQb/fzluM6h/FfV32rQJ5Dz8W7fjhp8V6bhxovmCMrZn\nj0OiiB/krSBlZQPnByNgS4dZuplz90qDuvmVjRgBJwWJGQntYyph4mOwDqOkig5zzQBIDh8/qRb9\nYljG0ceXZAcG34vv4SLF9n2l8iklktVDsYO1V6TIkf11sCEKzEmULDL5uqusreMopdq0kSYZo4t1\n6pqy23WzFP5WCffXAZpy4bUbT0n61HbC2QdLCraN12LwcvKoupIaNHwdQZcB3rFPGlkbDLs36kbB\nkiQJOEhes0pOmQN1ex1Bn4GrV68qb9XoNjayDJU5e3v7oN+JELRFWngRUM1F5a01AFXeXCkVg5By\nIGSpNoRjAwETLb0WLzuMebgE8gUCwwbdN5HTrnckNmbiyHZl0MP1CIgKVOlv0tARM0+xsL5nygVl\nASrSrPhRoJhBey+2VSfgpi1PrhRKKNi43uSoBp6HOwQrgqzoucMJwhgkStxEdW/YqI2wBHuiiBfG\n5/RPc8mA4T20EZ+x7bssArs5DezbzvjufHVcI3c5X5CpExqA8GArsRMUkCWLl0nRokV9l/HLLyEL\nzMlL2Tmhs1Ru2kPGwxtwzuzZMqp3C+k5dTueCd6gfdUKzAA1wT+8pQQrQUPGbJabGLydMrquxPO5\nSFnK8ZnLcdDndWi/Kpjn+aQ8bi1Jj47+tZdwx+mGGSAdQZeBtWvXSuPGjaVt27bSr18/VKDCB93G\nQ+iWWC2jc8NhVIsJ2MqWziSuZ2+pvaVUSeniGVUFjg+wJboLTjcRvhs1yQpiD+27yExlcL7uCkgM\nU2fskcKQH4ke3dq32pYRxIrTEB4eDQIZIy7as5yn43bZTuOMnHGunTd0fG7P3ktq/o6tVUaGDAkB\nJN8ozTkSN8JbhdMMV5UZc/nmDSLNF3UzMGzUJuUKwplpsqNPnnZXB0FLt5Qp4klVWGGuWrVThgwZ\nK2VKZZX3797gPeI/f/MQBeZeukyVFruyoRJ3GXc4t9SX24UDUvxsWxm618AYCq7TuAwCwQXyOoi9\nXczg2gWTbpd3jP0gTEiQOnJgtVDhYGHSBJp4ZVTcb4tqAXXpOvy91LcaYOLNBPnq2MZqhPbRzHn7\ngnzboXGDXl5e0rtXL1kI6RGSHMqUKRMa0/CTY4ZFEipzxtbmbLwfE0Dk+oaP7htZp9TUJBvVGCmS\nx1FAqiJuSBiJE8VQkiGvXr2TmtVyqdk26tGxMkeQh3l2X7HftGjB7j/oBk9WT2nWuKBEjGgF5qKh\nPZsUhAvaiQ0eUM3XMcJYpaPdF5m0zZsUwrXAwJzltuPGjaYEiPsMWO1zDD7eY3xSRwjMAAWA3xr0\nC1GF4w0Eo3aNPOK8/5I6lwTz40bVRhHFRgYP3yBbt7tIqjSO8uXzK38RH4wHH6LA3It71yVe8XyS\nPEZE4/5JxCiJxLF4Trlw/ddzN+/fv8ed1OsfvjwxK/IRnnmmCN7Rbd15XhrVyW+K1QX7OujoMGXW\nHvHEUO3gPpUtkpUb7EkO4A40a+AopaE91b7HUnn67E0A1xKyXlYGFY+X+ACkpI+OwMuAu7u71Khe\nXeDFJStWrPDX8HTg7VXIWbM95s9ILmCwQmefMJaU/k4E3TZWFDB9Y0iyZIaZHjtIRYxHW7RalVxK\n/DdWzKiq5Tll+m6p4APwjLNt0eDHyuuqkQVLNxSSH9hWLeSYVlncGeVOyHRds+6kREWFphbIZteu\nG/TluF/0dR04ZJ3kzplCclGAGExXRh60hClszAreEMhGeeAzSTNcVWpC2Ddvpa9J68thIzeqmcyd\n8P41BnUJ9zhfVESbOdOboYgSUZq1noM2+xX5K4wViDf5xeXAbj9ryxnXy5+ki4aYSF60vtjkqCSl\n3ZtJrQJpJIp4itvBpTJ7i4fMOJz6l/s5cMAAZUfz/QIEd37VZ/n+dT/7fTm0h4qiz228EPxsGXN5\njDMhPQetURT5xTObWbQHo7mck3/vZw3IIrCixQrdgmlNxRJYxfVwRzp/ySHJiouZDtNnYNOmTTJi\nxAjp2rWrODkZ2oCm34r5rpHkNbJMe2EmrTP8pXNB542EBlbQCK5eoJ1phTbmAhDcunYsIx27LlEE\nCQ6lHwIZole3Cmr+zeg77LzPDQzElL4JSQvJkvlwbmhQt4AcPHxZWX5RU47XW1fcxJDpagyCOBIn\n6NFKduu6jSfVU5Q98YB4MbfBttywf6qhQPFOPZcR/rAnTxlkjBLEjwFplIdCWRTDaAxrgjqCPwOU\nvvmEdvlFIeCnhiHtuYyM5hK4SacUTjFYYhYplBbt9vOSJ3cKNUvp6eEqseJmAqs6nnh5BmxuPURV\n5iR2YdmGtmr3ovby9IabuN54KvZFe8j+Cy5SIsGvcedwXMQOHznyw1fdunXBPDLMHvzJSeb80vbd\nF6R2Nb/rvfzJ9gLztZyR64O7PmonLZnVXAO5wEz2H66bs2YFQVev1mCqj87UH64wmF9eFDNFpOOf\ngQyDDtNl4MMHCHzjZnbG9Okyf948DeR+kVqq7PNDlpWQPJCVyp0TYA7M1pW4Ue/aqYzkzeOgyBA7\n4XpDP9UGdfPDBeKlqrKQfZg4sa2vnhw3ES9edNxwwarL0VBkiIOZODJe1286JYP6VpHHj14pIMdl\nE2I0h+CtK6zCKIHyHBV3Ep3IiiVJiNU52opRZJj6dYyH+NCnK0cXAMto0SKq8R6ug5EZ128CzNHj\ntyp2rK7QqbQE4zeDHRdb5StWHzVUTtGJqFg+yw9Eh4rlsqiCUGoQa7r1XA73kESyCSoS3l8/ShSb\nTAB5qModdJYyZcsG6FhCFpjjIaCtWrhyfenSuzcspLpI/cqFJUG4zxJcpGyq2BcukMoiqnLDcCcY\nHgO9tSFQqCPkZ6BFo0LKC7db35Ww/vkQ8nf4P/aQN0SLVhz5j6X0037NwO3bt6VWrVoYl3grK1et\ngiXUt0qRX9cROpZDxQTgiS3KWXP3SfPGhcBUpfivwfA+LCzoihdNpwgLFPidBnZ/cYh6n7tguPGg\nkOvjJ69QaTFo0TFnidCiHT9phzTF/2hMCKyzek4LsLXrT+J/9aM8BzvdGBRgnzR1l6oCliieXklQ\nGJ/jqMu+A5flH8zPsUpIaRNG7pwplWjwjl3nZNSw2hiGj6jAJp9LljSOXAPxgnNYOwA+6eupAR0z\nExwB3ThUUldDK5SzlJvh78vg+aJ24BFoBDKqVs6hnD0oEt2r/0qA+Q+Yl4whLoevyOuX0BmFHE2l\nillgFXcbjNaE6jX+/RbywNz/HYGnTEidWgYeD3o+K++etoB5RL0scw96ycaChlL/HhWVXY25H09o\n2f+m9R0lQ9qEMg9SB2RGmXMUL5xODYtf1szWPz6NO3fskLp16kjNGjVk1KhRaAlG+uN1WvIK6NpA\n0hdbqwRdrKxdv/FIkQ3IZE1sbytXfWbX6L5Apwj+3xnDyDitXzefYqFGxYc1wR4Fffv+XVEBRa6f\n3Y+wYf+SrNAOI2mBXwSI9x+8lIlTdqLdmlwuXzVU31iZ4VwswSPHKgjSqGnHyJw5sVBMmBIpV7G8\nt/dXgDZDSYOMSM5kMTKhSjdkxAYfXTpNilBJCZJvBjcRgu+euNmmNduDhx6+2nE1quZUlV++F0aB\n0VwDGGIpbmSXLD+i3g+sxh49fl08Xj6C20MqWbG0p9jGioSqccALLSETzH32gvnsS/Xl9TmKtLng\nKj2y/nnL1L/nePP2M0KfSdLKzTnWovR/8swtqV8rr0XMXxnPBS+eHrgb4h2R7xfa4pZm8N6+ZTF5\nijv9EfDwM+eg52U1pxxCZriOgGXg06dPMnTIEBk7dqzMnDVLqgPM6fh9Bli5oj6cMbagemJtHUG1\nU/kYRYITotJWyDGNcRHVQrVDe9TBIZ4CWhQYngAwVrxIeskPuy5W6ujlOg9zcjaQFjGyZLkCm+iR\n0W47JgPg8JI7RwpfgsMZ+K3GgFhwVR+rsOxZk6rqG+fqRo/bCvKDta+OHIEdQSWDRYV32FbPbuVU\nm/YZ5vuMjhDR8JrDR67LCPi4klWrK3QqZYH4zQDY+blD6Zq2nRaqSmtZEGn4vjJGPihf8D0xfWIj\nkBvuqFm6bTvOGp+WvGj18+80DlFk4viOqMg9l9Gjh0uJkiV9l/HvL78eRPPvmkyyPHTmxnSWFpP2\n/rC2HM0my4ze5X54LLD/4B3WGogE/wO2pznHUYhkLl11VOnIRYaIpbmFFy7ElA245v5YruMn72Sf\nv3iraN+v37z3uQB+uyOlxMebt15iDSkAViJJWqGJddLEscEgiqNYRNT5Mbfo3aWcdOy5TObDHLxh\n7Xzmtvu++0um7gIcw8PHHkLLLx1+z8D9+/elc6dOylN19Zo1/tah8vuWLGtJzstFjRpRHPOnEgoE\n58K83CG0t/r2rCh9B65RH6ysknCOjmSEmABnFPFet+GkdMPM2iJUxzjfRsX+dfhMaNKw4DdDdLRJ\nqS9XBTcpFP2NGSMKqmjesgqzeJkzJpZSJTNgbsrwIc7ZN7Jf36EN2wAVvtSpE8i69adUskl+INli\n+OAa0qn7EgDCSL5VOooXz1twQKqDVVu7Zh656MNwpXPAU64PYO+0603MXnmrqiNn9EBptqyTGCKO\nxlvpBB6HG0dKaAyuxfuDhQOeK1vcLFCQmsH3kW2sqKpVPwAz6vYJY6IV+0ZVb/l8fgA9zuKnSv5F\nPN9YgfG8Tzp3KIL12EDC5puSB5f1T4QoMPdNZ26arzyJl+cdWdTYETpzWWVU4QT+ObY/WnY/zJUT\nxLMRB6hzm2uwFD9y/HYZPrCq2VQXaWty6sxtOYZ2yHm0Rh49fiVJEtkqEJYmVQLJnyeyxMIFk0CN\nd7kEbz8L/rNQ54dDqUos9MZjWbziBkDhEzV0nAYzM7nAMMuJoWNzYCmzDTN8QFVp1XmRGoYmu9oc\ng3pbZUtmkjUbTildPXM8huDY531790rfvn2Vv2rdevWCYxfMdJvQ+4KMx9Tpe6RD2xIKzKVNZSfT\n5zhL+9YllDBvTjBb2S4l8aF757IAS/fkHBwZnPddEjIQK5TNDJHXW+r4N24+pcSGv6J1agwyGI8c\nvS49upRVUiJsubFrMH7Sdpkwpp66/nBZzsHdwHVoyozdmIOrBX/cMPiA92mrguV95Ng1VcEZNbQW\nOg1vhbN6DF7r2ALu/89aGTe6DvTqnqnHSZg4Z5yxg3QJr/ezYAvWHxXBpPB+/dW1Ub1Yf/NHBrzl\nPdruj0BqGYUK6pevX6Rti+K+ldNqcHA4hpsBVmrLoELXplUx2b37okyduVu1xuk2QmKMMWpAo5Ay\nN5GixBbnAx5SskQ8OXhgj5SvUMG4SIB+higwZ9CZa+8L5HhERp25tdSZC0Iwt3LdCWmAtqS5BsWA\n+wxeiw/MIiEekBJwOR9wk6Ngl9EtIENaO1jtpBAyOhNDNoADyv4Ntiz4lRQsNAbntYxxH0yxy1cf\niQuseKbM3qtAex7cTZE9alzeuGxI+smKInUBO6FCx/1MBmkCc4zK5bNKw9ZzpSF0G8nm0/HrDHz5\n8kXGjRsn27dvl6nTpgF8ZPj1wvqZn2bg2LEbchpjJqzwt2haWKKiQkZvTNp6dWhdUs25bd9xTs2y\nFQMRgpW7WXP3K8stujtQPmTlagypIz5/9pbIkSJKieIZZCUcgRIniqXA2nTMJE8YU1e1WPcdvKyW\n5XWNNy8tmhQWVnPIQiWbm9W5ydN3SR/MLz98ZJgFT54sruzec1HNyVHSgutlJIhvI58+f5anqOww\n6AKRI2tyqVzxlaTGze2ylUfU49mzJVXHSP28hZAA+rtrWcWGpdyKjoBmwKAZx2LAA8w8dui6WFXi\nBvatJNswS28MtkwpRTJ+VB0JByLMK4/3kKk5oIAcgbitbVShty6jG5jT7BK1bjdY3NxuSlSb9FKq\nRAYZO3qNtGzZ3LjKAP0MUWc6oDpzATry37zoAmYoWLrOA+FGc42hYK4Wyp9ainw3BxLSjuWk6y3Z\nAGr2GdxdFgXFv0r5bDKkb2WJGMEqUHfVDiwifrG6xTvoC2735NjJm9K930qlAO9UNgsYzKlx5xw2\nUPcjICsniOvUpoT0Rfl+Jrz8zLF1zgtcPoD1rTvPSnXY2Oj4eQYeP36s2qo28FZdi7ZqtOjmPbv7\n86MMIb5JwQAAQABJREFU3EdZnT+JFiSDTNax8EEmAYJVlINouXLWyQFe29cxxkFRX34o/9O/ily7\n8VC9hnNP1KGrh9GG47jZ5O/vwCw/BCZp7x7lQaJ4oqpxb3DzTODXHdU594UGCZGsmZMojbFHmGX7\nG/NuFCE2goC4aMvdwZzUhNH1pB2q7TZo1Ro9WW3QcfAC2aFb5zJyC16vbm4GwkR8kDY+fvosffqv\nVvtItwgCVEYKdJCcYQfGyJM7uYydsF1y43+M+nZkVuq2q0qNn7/xc+HxEw81F8eW6jaAfbZUWU1N\nkTyeTJq2W62LUjP04O3UvpRs2uwqYfG8AeAb9AFrQV/z0OFrqjPWB0QZPr9py0mc0ztiHcVBEVhe\nPn8o+fP9+eiM/0sefk5HABYMoM5cALb025es23RanMpk+e0yIflJVhXZZmxSr0CI203+Q5CQ0aDl\nbJmOi2s+iCauWtBKOqLlwWpcYAO5fyeEQ/kZ09kLnRdWzm8lFLfdBT2qag2nyWzcuTOPIS1YQcyB\n4ekxUJc316gIwLweQF7HzzNw6NAhqV6tmhQtVkymTJ2qgdzP0/Qfj3qrEQpjBZsEAboocMbJGPRJ\njQQyhJE48AWMcXYCmjcurBbJClbpKYBBVrgK4+YvXx6DZMgSCBBzPi5nDrQ60ZJlnDkHWQnMq9Hq\ni8FqGRmvbKuSLRsHFZpvWnGJZceu80IQSCFjigUb26q0FBszfhvGS2JL0cJp1Xq5vnzQwqOWHZmx\n/SD8zqo2r5kMsm0JSBmJYNZOxjjbsgSSnNEzHp9aQH/7TQa8YXH5HgQTLwhHL5YFiw9CYsTGt7JW\ntlRmAOjH8gyz2wTQ/wyoAnJNVMVoXQ6NOeoObgXwM0ZOvAc+o7o+GCMyq1DJ5Xtr7XpnsQofE6xo\nK7Tws8rKFYukQsWKxpcE+GfIAnM8jJ/ozCWKEnQFRJZUj5++KSWgM2SOcRUzGSQ89OtePkDtycA6\nZhJKKPNSp9lMOY+ZlK64k5k9qaGUwkxKUAO4Xx0jZ0xyY35m5KDqMgl38JQCqNdilsyDKnxI03lr\njdYNFea3QofKHIMzi5R3OI7ZSB3fMvD161eZOHGi9O3TR8aPHy+NGzf+9qT+zd8ZOHT4qlQGOcEI\n4OxRWYuAyj8dIBh5AIb2HrgEMoST+rsAuhl74e7AFiZJCaxunUYHYfK0XdIYN3zp09mpdibn5CZM\n2aHm2W64P1KvzQHZERIp4qPqzw91atmRrEDm6dyFB9FyDY+W7he1bCK0UWnjRReIFMniCEc/GKxa\n8zrEiuA/w9ZD+D4KyFzh1XN0gXBFu5jhiP3cjZvOihWyqTYuwYWn5wflWsHWLmfxeM0NA/AwbNRG\nzNm9UMQM9WL97ScZ8MZ89RvlvUumao26k1XOKlfMocC6EWgXL5ZegXDOR/br5aSqddVqTVIEGQdU\n8Og6dQ6tdEa5MpklJiziUqCF3hWjMWRV37p1X65c2ot2bHRU66KhihdNvoIwEydOnJ/sk/8eCnlg\nzn/7b/Kl6cHKlp85zvKQPDAQhr1sw4UkORXOwzWE/xx/DsQ/QH+Um7/XcDL5STTBChOiJdKmWRGZ\nhVYmmUh1m80S2rqRXRsSgoQI5nEGZnvu4EJtjlEZbfWN39H5zfEYTLnPz549kyZNmsj5c+dkzdq1\nkiVrVlOuPtSti4CLgIcSEmxZEiiFg6sCW6mtMJTOSI7qyka0x3i9pFRIhnQJlRYdrblo65UGjFPe\nfFKn7vgJd/XBbGxtciYuAlwg2rYqrtaVHexSAr9xE7dLM1T2YttG8a3EpcV6CPRIiGCrLjJuZGjz\n9BIVObJfSxTNANJCbFX5I4GCQbY+zdipUUbmKqt+bOsyjPZebLnSEioynC0YrN5Rq44tY4ILVuX2\noP3aDWCCDixsEesqnUqVzzdv3Kh7KWDNaieJMNSOI6BjOBZIJTvhAMVgxZRVOr53+DmwFdJlZ2DV\nxvcBowZE0SnizBZtnZp51Xwmq3E9Mb5D8kSlCtlVizV6rLywe4uMNn0FOXXisDiZoCrH7Wswxyx8\nF5twgsi2M8eYgItUjixJ1CB/SNh/Som07rJIMRc7A2COAe2eFRlzCl7ke8CGZyIqdVfQomF7+DD+\n4UNCJALlvTUGugfBeNsctfUKQiriHD4oKQMR2uPYsWNSrWpVyZkzp9KPM4UVYWjPKbssbIGuhOYb\nP4RrVs+tPqg5jM7KVSvcrLFaRvDEeTqCMurR8f+cSv1U9ieAYgWNQe242LGjKzDGvx3zpVaVnNi2\n0VQ7lJW4S5hvo8QIP+jDhQvn+0GfDqQusmMfQliWbFMO1FNfjsHlhsKUfSDmhQnaSNZg5AVD9QqI\nWiNQvevcvrSazTLq2fF4rqMLw9YxW7UEaJ3blwQgTSKn0FlSrwewo/Awg5XGUwCaS5YfUselAZ2h\nEsdzTTeNhugYuUJFoTBsB43gjS4fBOtslSdLFlumTqiv3kdDcL2dMHknqq9p1Swd80vQzRxTU246\nOk5sz79+7aUkagjubFGhE/kge3athKB0SpkNz+3sYCOvXLlcChcpwlX8cWgw910KXTHzwNmDlGYo\nR3IEd3309Wvboth3RxQ8v7K8vxAzJd37rRInzARMAcsrCzSXzDnscVFnJYwOGtPn7ZMhYzajrcGL\naPBGSYwDJLKPKQvgH2luwfZ6MV48nS+a266bbH9ZlZkOX9W/e/QQeky3atVKS0qYJLsUFH+rwA7J\nbHPm75eCIDUZ7ZVmzN6LqktqJRXC6xUBHufZ6LTwAjqWjFWwaLK2RmvUx3klX96U0JdzU2CM1bVM\nGe1VFW88ZlcbNyiIyl9kuXHTMLdGwgFb5nV9FBFiY16O4GssqnZ2CWKoEQlug9UeAivOzznvv6Qs\nvbgcIytuzAnsCEg3YM7Y2tpKjSYYW7EkcjAorfR3n5USD7qNdIQwOqyQFcvKEYMyTGTUzkO7d/PW\nM0oCJfRV6SgnQx/VjyoX1BjkTOGmrfBHxVM8R9QCdPXJWdUqOZQHbi8QXfr3qqRIKQ2azlBgnUQY\ntrM5J8koXyYrwPkn6Y3PCPqtcn7x8NGrPvOKInXwPtiw0VmaovLesW1ZWQytzcNHTkrOXLkgSm1o\no6sV/cE3Dea+S94OUMOLFUrz3SPm8Svbq+Pg/de5bUm0EYL3lN6E/2EbDI6SETwbdyglinyTBDGP\nbP5+L9kumTulsUSHTEijNnPlhA9T7vevCtxn2zYrKlswdHsLczbmFsUx4L0dbbDQGHS5adG8uRw9\nelRWrV4tuXBh12GaDBCgkdhAAgGD7FOCIA6tM1jRegwNy4QAVsZgay1Z0riovkRXD+XOnkL2wzd1\nCGZoGdkArlzATGQbrkuH0oqdSuDFShxbuZx1e/XqvVo2Q3pY8AE4lSqeUREhPqHtSUmS1yBUkZHK\nmTqKyRIgGsHXUtwAk/FaAeQgRnLM0l1FZY5BRwiChMnj62Od6VU1kQCErVT6u7KKSIHaaNEiqX0j\nKCFQpFQJI3ESW7kC8gSDNmLdey/HHN9+VApfKtBp2ZU6b7Sdv6hzfgl+vHRq6NhtCVjIdzGzZov2\nt0E2pEqlHABg1Bs0VEzpCEKP3ocPXwmlZ/j+MOaTWnHOaOGznc2qa7MmhZSrSJceS2XL9rPQFEzh\nW+FjztOljYv3WmRJmiwltr0Y78t0smLZIqnk5MSnTRLB+8lvkkMwzUo4X3EIumOsFJhbzAHjhrZj\nmXAnFpxBgkNnXCTKoU09cmA1sxDjDUi+CJjbYm6iV5dyMhbl9snwVuSHR3AF78wb18svo2H8bW5B\nIWhWp9zAvgtN4Xr6tFSpXFnSpU8vc+fOhRaVQQ8xNOUgMI/12XNPNbvWsJ6jaovmgRYYteX44Rwj\nhoHNGgsq/azVEFgx2Cadiv/l3qi+M9KB7LDLGSANvxNgseV69dpjmYmWLGfpWCmjMwSDlTqCOScQ\nEhiskl0EcJiNKn5XAD833Nwag3qR88GUH9SvigJWbO8xcqOtSsJGAgDMls0KA5hZ+1b6kiWNrYDG\nAng0V4Gcj/HGjcdFcMlg247D9/swmzx9UiOI235VIC9K5PCKRGGUPiGoJbBbCp/QDxBK3ouKIJ11\nLA/QeUNizNA9WbTURdp2XKgUWrZjLp5BZirBGR1CGJRxYS5IXFizvL16nOCMLfjyOP/f23FRkuQg\nzhXlaXqBbEiQXq/xdAXYyXimvaQR+A0dVE12bF0rLkduyIgxWxUZJ27cyHjv3JW06UxX7NBgTp1G\nkQM4MRx+pXaPOQWVwZ33X5aWjQsF227zrmcsmF2URJk+tp6Ug3ZTaIgsaGnMndxIMdG69Fmh/oGD\n67jL48KEzxKzJBSUgN/lTnxohpYgeOvYsaP8M3iwdOjQQTHgQsuxB81xeuPD9Z3ShSO4ad+mOGah\nUqs2JqVI/u5aXnmusqMxcepOoT1XxAjh1IjNeth58XpWEYLlBD0EgBPR9eC8HTXC7kIbjh/crL6Q\nFct5KEa6tAmFrdtq8F2lbSAlj+4/eCEUECZQSogqHIOVfVbvNqHVyXZe2tR2qv3K53Jg3o2aeINB\nYssGMgbHOKiHR6BIrTi2gVkBZIWoNvYnCTQnSYQ4c/YOX65aqZyLWwz7sa3YP1YdCS4LYLaPFURW\nkTiTxyoe5+z4+nfvPyhLs4Go6nG9ZHSaN6jzVpXG55jDJUgmaWUC2uAEZBFwjsnuvXTZAKyLomu0\nE4QFRto0dup8kvRSBAUdzlQuW3lUMVpJNkuMXB1GdZdRDFU1MlOpR/gaLh3nUeFjm9w4t1zZiUQH\nVzVnN3taEwg/RxP3O1bifttKvb5UiYxy4oSLOJmwKscVazCn0iuyG4ic80fmFKxoUGuMrMvg8hvl\nkHHHnssVK4tALiSxaIPiXHKmZlj/qpIJWnUtOi1UtjtBsd2fbaMbhqTnQ/2dQqnmFGzF73e5GqzV\nzaDI1+tXr6RN69ayZ/duWblqleQzgVBoUOy3uW0DBSll28X9nrNgv2TJlETSogLMD3eyC2MCpFVF\nS41empxH4+P9+1RSYsKU95gMIhnBG9ui/JtA6CDsHb8ADBnBGyVK2LJjZYbBeStaa62A1lg/EByu\noNLMNiiDFTbOh3Kb31fS5szfp9qqbHsyKEbLli1n9kjKIMCghAq/HjzwUHNurLIRRI6ZsE2GoPsR\nL250XzCYAi3XSz4VwCwYwB86cpMUx40SwQW18hh0Kzh5yvA724jGmTpq8R1wuayAHQkUr17zGsID\n8DkIvjjEhmE/X3p4wv7RQwHwzj2WSJuOC5TIs8uRq2rPmQdWLXkOKVXDjgZnErNmQa4GVRWyiWeh\nkvp3X8P8IZmtDKcKWZVwM5nHdnYxpC1uDhJAfoZEiEkA+unT2ivGMJfleuOBNOeAKu/APlVk8zZX\nWTB/NnLuxqdVNZd5nzVzhlT4Q/sutcLvvmkwh2TwjoQ2UnnNzPGBsg50AAgun056AdIrNC/sb/7B\nBYzAJrRGo7r5pUPLYtIDUgEsvwdHkN1aGjZDMzHsbU5BNXzOD1my5tz58+elSpUqmJlJJgsXLZK4\ncQ2zW+Z0nsxlX728Pqg5Ne4vgdHylcfEGtdJSoFwnGbGbGdYayX29VudCxN7e7tYqsLC1xC8kZVq\njQF3Y3DgPSxkTejVyrAH03E+xls4y1a6ZEY16E6tN8qcPMc2WQVisKXLKh2rbaySkeVoZJjmgVcr\nAVRpVGrY/iUQMMqecJarR+8V0q51cVUJOn32llpffgiG09+VciOzUW2icDEtv1i9o26j8fVxwLq9\nCDmVrj2XKjDZuH5BNdvFyiClVhgkS5x2NbR4WQlkFYvg7unz14owQj/Rx09eqcH+kAfqDADOA8UE\nFhRYce0/aK0Cw+tQXWWLk+1Ottvv339pOF60Rl0AyhmVKmYHSeGJjIZHbkvMHH+B127VWhPhsXrD\nAN6AB4gLGEULGSp4XTqWklFDa8on6I9WrT1JbYvvBzKTjWSUlk2LqM9BgvtO3ZcA5FvJK8+wEtYq\nvloXwfQLOD6kT58B741v85rqyT/8psEcErgfti705rSCr5q5BEvw88GI4exWcATbu13BoGpa31Fq\nQ19HBwRIcTMwHErfkzB3QxeJ4Ii6qCiwVWMcqg6OfQjINgvmc5D9h4IHBAdkf/3zmsUAb63BUu3V\nq5d07dpVgQL/vF4v658MeKtBd1ZfjMCL9kocai+PWSgGB985/0ZdOQY/tGNDwNUJrVVj2IMhHhE3\np2S8MliJGTVuC2y98ko8ECSsICdC4MTKTEM47Vy4ZJhb47IxYMdFr1Wun/IldG2gaO90XBcoKXIF\nVTdGjuxJFXhgBY3reAn2LQWGGawaEfSNAGs+PcZ/HmEIn0HQxVYqI34CG9mPNm4nVORrVs8DQPFS\ngVVWmNgGZGWRAJTki9Hjt8JqrJzaPl0wGCRIXL76QP1uh3WxpcxImjiO0ssbOWaLGh2ZPmuP2pfH\nj1+iVUtyQHBU6wzg7RPIIwRwjFXQ/WQlzR3nYdDQ9QDnN9E6jg1mskGInCB71x5DG5UgmrkloCeg\nqlIpOyq2iWUNRoNWg7VMAP8AsjEMypNs9xFj500mZys7tCmhKq0uuFHfDwBuPE9lS2dSLXOC6S4d\nSqHa7oBq8AEZMHidcomwCuspt+8a8kWyStuWxSFHssykxAe10/imwRySsA8npzAUtc0pFmAugvts\ntKoJyn0nUGAFqjfMnIsVMj/CSGDmKhV8HieMqCUzcJHZEQxzYKyONsMM0FTM75hT0KLsENoanFey\nlPD09JSOmInbtGmTLF+xwmR6UpaSn8A4DoI46rnRsaF+nXyQfQgnWUAOo1cpAU+kSOFhbJ5JduN/\ns2CBVGpujKCGzFaCrEb1C6hloqCSNwYAqHnjQsprk+tlS5YzawN92qh87My5O2oGzsEhgTocVtc4\nl0Xw1LFdSQXYKCTMoLg3n6NYLCNpkjjqpougkO0+SpZwNo7D9awo0nXg/IV7alavWdNCirlKk3bj\njRqri2Rf0raL1T2DByvdIVLJWewXozDIHVdxvSYImQYwSV29qRMaquUpIsztsOr46dNXBWaYC1pO\n3YIqAddHG7PVADydwMAkWYIzhifgUfv02SuA4O9bsaYEeAbgRtDo5fVRVQd5LIdBUBwzYaua+WvU\nfJaMm7RdycPs9pE2InP5PuRaWCFlsGrKShujQrksCrBxhq0RnDxon8ZKnDP0BEsWy6gqe1yOVc5I\nuIayQpkhQ0KIPNdVjw0evlG9h3KAJLELqhcM5oqVURJN5s5opv7mrB3Zsoxc2WLIju07UKn1llYt\nisD6qypuEKzkkIuLOBYsqJYx5beg88ky5V6bcF1Ub74OtE4PNXOJR7jwUJtr4fQmQb7L1LLrhXJ2\nj06lJVvmJEG+fXPYYHww2cahfN+p13KJCmV2o39iUO17SczJrFx7QoEjGtqbQ3DYPDkYeydwd80K\np7mHm5ubdALJwdHRUUaNHo0PxW8tO3M/tpC8//wgJ3Bhm+0EZsN6dC0H4ddwCiy5HL4i3TqVBUiJ\noLTWIgPY8XkySAnKlq04IqOH11RSH9dQqSF4I4DoAcKEsTW6FMvkRfvOyIBkLiLDI/UrgJdRUoTz\nbpzDI8goh8rN3AUHVcoIsthWZQuuPdqn3A9jW5RkhDXrTsokzB0TLBn1y0hYuHP3haxec0wGQFSY\nDhZGf1fOy1HQmDIrrFiRZU9BYs7orV1/Um2TDNdj0CBl5M/rADmSA3IHEkZs3/LGj/939Jw1zs4R\nEHH2j0C1GGZZOcNH4gR/57ZW47pCRxxWOVesOqbcJ+heQbtDdrY4z8f2tH9GbjhbSM07KgKECfuX\nAlrcX+aQ+n+sohJkDR+9WZEKKqCCaqwupkwWT8mGcPkSsNra6SNzxKosmcZeaIk2a1wIx472NEAz\nAS2PlyQQEhY4g8g8HkfOGdWr5FTvm6GYR7TFeWJbvlb9KUoXkOfiPRw1OA/JqF0jNyp0XtIIVVWS\nLGrXzCMbN51Wz/Fb0SKZ5OgJW+nZy1H56fJ45Os9KY9ZOVZMTR2hvjJHFmt+lF3DhTN9ck19sozr\nY3u1GsrEQc28ZTuiDfR5urUvJbnhQ6jj1xlQIsPdKyhAR0HnoI5WTQrLHFy4zSkKo6VlCa3WVStX\nSvNmzaRz587Sq3dvDeSC7E0IpX1YaFEihLEAllypUsRTbVUChUW4biaF3lpiVKLIQNwOBiLHVTiv\nxmF3giJWoSpjnuoIQBxjHv6HIqGawhtoBoENwUpBVLwIhBwc4ql1sB1KOycSHE76AIO1609AZiQm\n5vMMklGcUSP5gO3LTKiqvXz5zlfTjOvijBrBC9dNIMngjQ2rdi5gUs6Ys1ds0MJNipsetv+M2mnh\nrcJIeIAoDv3zMbbzWGlksOrm5qMv56BycU/pqr2CO8HOXRdk4ti6aibMKJRLLT3OzjFIvDhyzJAH\ntiaNbE5VRcfnJtuaESOEV64SBDwEqlsgwDtwyHrMDp5WtmJkdbItzNk7CjYz75y1ZoVzB1qZt+8+\nU61kOmC8Aku4QZOZUrPeFAWiFkMInVXWnGhH7wVxgUER+oMYiyIA5Ezck6evlFUW25ycYzS6X5C0\nwArbjMkNcc5jK4Daou08tS8ZUfk8gHUwKsF7lUCWbVNWIosBmFKqhjcCZAXzvNMDm1EFHr9b4OzB\nqF41JyRMsqhWdnu4HBEokvhgdAeKaeMlLgchJl2/qCLF0OKNLfKpU6cFSouV+xTqwRy15fLB285c\n4gEuOEdQOqavZVDGXZSvK+OfrAc0k4K60hSUx2nKbVHqZuns5kr/7Sgu0kEZ1B2kQfc+n4tWUG47\noNviTdVhAF9WBcwx3r17J927d5ely5bJ4iVLpETJkuZ4GGa7z5yLI/gytjF588m2FqtTDDJTOWfF\n1iHbi3yfTULbkDfFxnkx5bQAsBYX1RoGpUHoe0qpkogRw6kK0ScAprWoog3o46Rm4k6j4kI/1BWr\njipRYlpEMQqCtbgH1bkK5bIpDTMy/ZWuGVp8tOVKkyaBAlvGtiolT2YCsHG5Mj7yTmnAaL2AViuD\n110CUroRlC2dGSDV8Hju3A5yF1UodXxg61IuY2C/SlIAlUCCHG6L+85KIGfDaD3FdvAigKXO3ZdK\nVAgMsyXcqnkRiY8KmNuV+2p7CcHcJBGEQUIG/WkZySBmzOodI1WqeJBYuaPAVTrsK6uiBHWUYhkP\n3cthozYpx4VxE3cINdtIFlgFWzS2hp+DnLAbLUsCP84I0jaLgDoDlAE8UfHinCHb4jHQyjSa12cA\nEGO1lMGZOHrvMliJ43FWxOfinBlNhVZcB0B2aNNhoaoYUqqFQS055pltZEYBzLgRKHaA4P6iuc0V\nCG7Weq5iPZfFOTC+jvljDu4A2M2a2liJ/rJqyePge6QWZpUJVgkKCaarOqWVtm1bAWAvVW1ZAnTP\nN8+R9+iSImVKtW1TfwvVYI6l4Uu4a+EHn7nEUlwwKpU33HUE1T5Tk6jnwDXSFf/wIUW+hSbUnB3h\nHStnrb7/IlvLaH4cVDn61XaSY25jBEr2IyAlQPZUUEa9WnlkEVTlzSVYnUiAAfFzuHs3t7h+7ZpU\nr1YN1QBrWb58OXSpEpvbIZj5/norgEarKlZJWhKYgKhAo3l+cNeukUcdX05Um6gV1wKexowkmFt7\ngVGbXn8b5tiSoIpDMERwQD9NyoawykVpkt7dK0oRzAi7olJGqy/OkLF1amxRkozAubeSaPcxSIAg\n8BiP2S6CpS8AjwQrDEpcjEDbkIKyah0+tlAUIyZhgiCsX08npX1n9IYliDpxyh2WYNtU9YgkB0Zu\nHBMfZxTA7CkB1UiI0zZvXFi1PQlaqTXH4X8C3jwQJ34A5wcCD+7vPYCmjl2XSHS4R9hEhwA5SG2Z\nUUVki5H7yxYwK5IEV2x3svJJ8Mr/V84kXr/xSFW1ImHOkECWjxGckU3LiB8vhi9TmMQQYxUwEwgI\nR31bwKmU2waXL10qIyRELvNXJezL9RAw0b2D82lGMV7OHHIesSLm4XisdF2ICUu1vajmUXaGLWFa\nufEYWfFkcHZuh4+2HIWYSWbp1K6Ueu7a9SeKDMEWOqt08XAtMtq/VYVQM507ukCHjq12um6wkmqM\n3ADarDZ2bFsCZJasuJGOIm07rVbtXLKZnQAyV69eKU6VKhlfYvKf4Uy+RjNaIVury+e2UBpA5rDb\nj9HnZ1t46azmQba7vBDQyJ2zV2VgTRMcweM+iX9afvEiZGQd8cLCeQe2UIwRBredpKpzGf7DcZn4\nWCZzBnuA9qTBQhhJgYtwB3jm9hm8VmaMb4CLprVxdwP1J1vhcxe5mNXs3FhQ/6mfaE6xYf16NRfX\no0cPKV/eoDtmTvtvKftKP0wyOCk9MmZEbbFGC5BgitWVYf9Ul207zyqLrN4gbw0ZWFU9XhTgbN3G\nUyBFZFQAjjdfBG5v0Ibs28tJzacRCJD1OH50XVWxW7jERV1zSJCg08Ltu09VCmnRRJeA7NmSSz5U\n09jinI9WL4HPERAVOGvHYFs0ahRrpXlGQETJktHjtqrn8qE67QoZEm5jUN8qCkDwZpqVociwJyNQ\n5awXARVlSmifSH05+osyMuI6R7DBGT9eK/m/NHNKI3kIQEqAw8iLSh59Whms3nFejNIaJERswMzX\nRzBWe/WooORVSKwg8GRLlcGWNNu+/BctWSKDIlpQ1qMUJJGocfcRAJdVRe4ngRTn9AgICZAoi0Kh\nZs6ykTzAWUYjcI0DNrFxLpGuMJzHY3D/OMvIIBA7AMBMoNWiaSEFdMeOrKOqjWwvO1Ufr8gok8fV\nQ4vU5zVwbmAFjWQSViSTAQBOmbFb2rQsinnGzACT7jJ7/j55ijnAeTObqfPEbVH8mdp8BLx1auZF\n5S2PavmyckqCCIWmjUCP7V6C3V4Yq7l05Z4MGzpCatZuoIAc18X2uo2NtWwGEWrHjh18KFAiVIM5\nvpn4ZS7BqlwFvAH5Zg6qICuT0aJRIfUzqL6dxhwDW+AEcK9xMcueOQlmG1OIHSQCCND8IpLshTtX\ngjpeyHjn2m/rOnmPu80cuGPOBqp6YbRBgsrLthDmwa7hAjdg2HoZPbiGuiAERS7rw+B5Idop5kKE\n4JyLucQHLy8ZPGSInD1zRhYuXIj2UzJz2XWL208O0Bt9Vwno1mBerXaNvNJv0BoFHjjrNBji3rzR\nYztuOa6lPbuVl6hRI8Kea68S6e0H8Obp+V6mzdqr5uzy4HqTK0cKGYqbWQITVsSG/lPNtyVL2y0K\ndA8dWF2atpqttO32oO23dsNJ1eol4OG2GJRHYYuub8+KCizewazYBwznE3i1blFUKmMGmqAqHUcz\nYLPFShRHW5RILfQrybTlrBmBHEEiW6qU4+jXq6LEACAkeGLEhowG2asM3uj26r9KsmA+r0G9/PIR\n26MOnkPKuErMlsukgQPFlOm7+atkSG+PNu8+VWnMidb0BrQ/C+K6lRJg8e3bj2obJAEswf4xcmAZ\ntq0ZuXMlx7oN82QEcHvBEmWQUMEZN0YpgD9WDRlskXKWjjfifPwmWKAEXJxBZPWQAJgAlmCXc3ac\n32NVlCxUVk2/okJHoEyATv9b5pLOGvSktbGJ7EsgIdlhIVrTjMqYjyMIHjOstso19QC5DurQ1aia\nS4FRo7Zcfnjmrtt4WgE8Vm6fPnut2LMsbrCqSz9XVn25j106lkY7OILSuTty9CKcIboid4Zj5nbp\n1nHxgqvk+x97ZwEnVfl+8RdFEEFEUlQUAemWlu7uWJqlu7tT6e7ubukGMQFRQMRAEVERVBAQEVD+\n5/vMXuTvj9hld2DVffywbszcuXNn5t7znuec8+TO7WKqzeqvElaNqH/CEeBNtuvNT101rRgeVO3W\nCpX2ZX+d5KCK/V3X9cEmzqOBhKoTtLqOqxNTT51wV81vqRiU0gpHTu1SKlk7OECOfSV1negWgEzb\n5kXdfDGa44fXtBXiRomfA+pPdot1MqLd/iCqkSzxON+mKYfoQRU6NE5AB7SajqiwOwInTpxwAQEB\n7vq1azbNIQLIhd2xDfmWbtjILBijls2K2N0Jw6W9BhigAB10YjwNGGwdCzuKizkORaYDxI33pJic\nb41pGS2HImDvq699QOlxael+v0Krrbjdj5Ym4A33Khluz8nsgPSDmay0XGGC+OxRaPCI9QBglSuT\n6SbThV6OGJE/xW511TkOp6vnluRch9aMmbHkonmtVCYIwGIBFGHwYmpx30NtYtPeCawyqQAHKC1J\nnttb737mc25KM4eejM4A2jmASEw9Px4PthAd3afKnaPFi9ECEAYY5jkslZsW3dcLieK6hoH5rJ2I\nCcNrAdNK9bL2AJuexo14EK+tysgz7zkAznARU+S67QoCf7BltE5hK0cMrmkavmkTG6h1mdsMI4OH\nrXMNmk4zV++2nUcMABIx48WTVCibxe5Pi5jA5phqHTPaq3/viq5h/fwG8gjzZT+Q4nhgG9DHSC6K\n5wlQZ19g8QDsGzcfuvla5tT1ZItui3t5tq4pHJ9qtcYL4H3mblw/ZO8z3Mi896aMD7RonGnTprkK\nfmyxst8RYI6j8A+o1XIF5deblpTvB1G4j0Yrq6mXwFRIbOb3s28waAsliq0ucLVVgmHmzM5Q+6K6\nVksvSycRlkVsCOwm7bwhyv1htRtQf4py2XY8EJ1dZxlIGB23L2i8Tlg+tzttq5JOjMuCogrudJuI\n3wf/CGzYsMHVqlXL1apd270+eLAuig/mMxn8Pfxv3RJ2B1BFKG92hb8DJoiNmKFJKM0aF7L4CRgt\nAApORUAMF+AfdZHHAQmIoWi1JUzw9M0wYdpjxIAMVouWAkRxUUcTVqHcK7YoZC4qzFYyacEAQd60\ngcQSy8MQEiTrC/G9bvEUg+TaBPhclAifelUMEHE8uDlh4RgZxsIdIPi0GCbmiHbqvtgWpsSDUOzX\ngQ9O2Pe0Whk/Rvuyvc4tR4KMCQUtbuSk3YZZo5gluvVa5rZL1wVzBUNYpFB6Y9tgwvLlTW1sGIwg\nbBwOTthIvoclA/wCdgBv4yducyy8o8hIQut50dzmui5FtbiVzu1LKR7uhti8Z+y+tB9hQ59VKDHX\nEV4HxqsRUgxbCTDMJF0iDuIZkxsay1ZS52darY899qh7XcelfpNp7rj0frhfMWHky5Pa2FZMLMbE\nySDhRbnQ8sQBS7VrUUwTkqKIJS1nbCqGCwA1r0sZATFeS4rjzr6hpRzYt5LrKKaNtnrLdnMEDL+y\nsWoAfSqnGEi0kmggC6qtDkO3U+dzWMHrV8+5gGqV1YY+Y87XsSNr2/E9f/68++H0aZcrVy7bhr++\nRIA5fx3ZMNwuH4C1EvZW1hv+QRQnx/5KJa9eKbsjBNeftVet1HrNZtgKiRmntCBpgz6IQh/TvUMp\nN1OrJ3QQ9VvMcsvVIvFW0/7YB1jF3p3LuMEjN9hJzh+P8fdtwmiSm0VoaUTd/xG4evWq69+/vxs/\nfrybOXOmjee6/61F3DNsjoCMD2JOtmw7YqObFqttSfsUFogRTzBksGZchImZQA/XuX1pe+jkOrfN\nmb9XrlSfKD33qy/b2K3mjQubixL9mmnIdPEOqJJd4O05Y33GTtjmKulcTJ4bk3DQtL2tCA/E954E\nBmYHVi2lQAlzXj2wQcsON209mQyQi+AAPXToG2ubMskgqRavZRR5kVW6O+QhaLZgFLkP7F0XBbUn\nkL7Mc8yiAcMggJlCHURXXvtFKzSjZCReTAdBt4AOKnXq56xdiBmids1ctg+A21w5k/2lARPA9Byj\ntEzfChowny+3zBWa0gIriAOYzLpagZM0t/RbX66lbgcbFklIFN0cujKYyNHDarrxo+qaAYScv/YC\nuN//cMHa4jh3vzh+xl4HwPip7352ZSqO1D5udNEFEAlFBmCm1X7zPVWkUBot+o/Y9+XLZHEfipGF\nieN40u5EZzd3RhOXSdcRJkQ0aTlT+r8oioX50rYFGAfwe7NXA6rksHMxOstPjn1vbB/taIBo6RKZ\nDNADAGEvOwgwvyRDyAa17TsoCobJEpu2HBZ+Rbd9wRUvXsBay7B3vfotN+C9csVyV658eWvx2k77\n6UsEmPPTgQ3Lze7UCSll8mc0PzB2WG72jtuCJYOKr6rB0P4qIla66c0+XSeEru1Kum5a0WEUeBhF\na6OJNIETRtRUyONx17DVLHckaGC1P/Ynvaz35XTCHi7r/oMoVrg83mppYCLq/o7AqW++cTWqV3e/\naJW9bNkyaXuS39+GIu4V5kcAgNS4QX7b7kYBOKYGIJ34VjEYZJUxiosMOFpxaKRwZxIwCws2b+Fe\nW8gRgvtswtiWL7fnrWOmeQOQ0S4cKTdqGeWb0XIFRNGa2yiW6FGBFlgtKn3aF+SefF+hw9UtA44W\nJ7d7fdg6Y54Q4VN5c6cybRYZZq/1ryoAGEOA0Kdxw+nZqdsix0B4XyvW51CFHaOVi/6NiQNx5LIl\nHBlWihmwsIcAucj6nPeUuaO1JCU8R8wFFO1m7/FhImHpOA6YFT797LQYsUYWB+K1THGJHg5i+GAV\nve+T6vzsmRTQJ9IeRhf4khbFZNAxGYGZsP00yqp772U2UgxWsUHTGQLS591oZa011bkVRnS+dGxD\nRqy3/d8g0wgmk1wCkV7+W6niGd0xHTPALMYJ9pXnCfvJ8/EMGTBxOF9h2kbJDEFb97qmWYxTVwmd\nG2wi9wWsbg9i7IiZ4XjALsKcosX76oSClDVn/KJSEtAfEipMFZMBZJ0mOvD+mD29iQHVWoGT9buP\nxKqmsNYvt//t0nHN0E0m8P6CdZc6dV9k7ztcvct1vigvMOfvigBz/j7CYbD9daK4aQ0+iMJptFKW\n6w7K3fFXAWKatZvnMugEOF3t1IzSjYSHel6aF5jBOtVfdX0HrxHY2mTtC3/sW02t1lnt7Qii7/3x\nGLdus5QEx9ulS6GlHVEhOwLbtm1zAQJylSpXdiNGjpTuMXrINhBxa78dAVi5ydN2iAGKZSJ5WHV0\nUqatFdhBpD5x6jbLHSMAF+PAlOk7xRrltzw02JcxE7a4mjIKATjQm6FDixs3prUZvUHtxE6gG6ZL\nQiV/OaGZq4iioOJLa8fUhdNapLZrXVwmgpP2ex8AiezqSy8LA5YjexJzkjLyCQDzxx9/2D5xY5g9\n8tv6DVrlAFSI+imy0XCfAmxg7wBRjJkqqAHwADbcpBY3IvAKyGFSAtl4AyUjSa/AYraDoxSNGyDT\nixhhasTQkesNfNFmZHrE6zJ4wAQCRGk/AtaIdoHJ0qG9+T2/p/3KNqmvTpwxZowOB65iYl2YBoEe\nD7aS2BMiowBjMIseKAR8ecAMzR+uX4qZuF67tEypjKZn5Pe4a2HyaGuiaQO0YkAgcuZ3PZ8GTabL\nwLLd2uk7d31iXRYAKRMXvFw+XMc39GTQsz2pTslxdS2Y4IDjFvC2XkCNgulD90ZUCy1VzBswux7Q\nq6C4EUwiqZUXOGhAQ9e4cWPXpsN8t2rNAXtNKokM+fyzoxZT9CCiiiLAnL1s4fcLrbHvTp9z2fWB\nfhA1SpqCwJq5bwqHw/Ixf9cqto/cnB9qtTt9XD0XoNEpD8pNGpLnkV80/XzN2iNvqmWnBSauDsn9\ng3NbTnqdtSpEq/cgDBiclNLLKbf7HxQiHJzj6O/bDJEmbtjQoW7qlCmuugBdRIWnI3BDCyKfU50x\nTS3k+gQo0EabNfdN11NaKSqB2CJiiurVymM/A6KiRHlUgCme/YwZgKw1AAdFW+/7738WAIxt7VZ+\nl0ZtvtOnf7HH4GdADLNB08spWkHTBs6KKQMIjlCeZFx91hDdUwxzZ17onr2fuSGDAlziF+K5j4OC\neAnEBSwO6l/FgCiLOxyd36nVCOipKF0ebc4XpC1jjCKVVp9hQCNsEDozDxS9mvOvuBGYJuI8tmjI\nPFl1kYKu8vzeRkppO0SMeN/nkGsXQX/z1nMEVC7qeMVUnEl916RBwZvbh8lkegWFm5SRY1QxOUkx\nEwDuShTLYK1MAHVJMWtsH8kOAAwgBYtZRKMGafHyPDFBYELguAIWcZrCDgJ6GaXFiDUqdarnrQUc\nQ+YxXKeArIVzmln7evvOo65F2zlukfI0r+h1844TwcMey1e5YlbLnsNQ17dHeYtvIae0nc7t0dWW\nJZuQSpAgpmnSMdJwvoRlZb8wfxB4jHvXM0nwd+JUcunYpU1x3a1cuVnP6XeLM2FbgFTm6M6fP99a\nrPzO3xUB5vx9hEO5/c1aERbRqoA3ur9rl9q5F7VyLROUPh6Wj8cKurXSxnGYzpXQldZmeC6ca7h4\nCUlu1n6uaWPCen8Zr0Pg51ydiB5EFZGAGrdwRAXvCIwcMUIX6bO6UCx2qdP4xOfBu2fErR7EEUD0\nz2gtwAMxFx9/csr1DIr+IPIDhg6XYnGx0kyGIHoDUEbbDvE8F1ymtFAJ1Yolq4x2GpVYF2Ly5/r1\nrmQ/06plmgEsWX5t85qACYwVgcA1lEPmAR1ACiwXbVlAR16Z1ogcmS7tFn9DZ8cwdgrN3kw52yOr\nXVun5qs3nZ6072Cf+r+2xjVpVNBApue6pMUKYBkrNhEw2Kh+frX2ElrcyOGgSRHoywBCMEQ8Jm3H\niWPq2r7v2+8DZGi9vLFdr2RKLJbwSzNeMO6sd/+VZuogkoR2J/fNL93tMTldKd9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ezkYT1S6+9Pb6es1DmyJrHV6d//FtKf1+hExYrrfjV+YydvM8H/qNcDTIh6u8f/8eBHjlPDgTnL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\nf5HeqXSBDUUGxgeGFNys1VyFHy76e2rWtCDtXz7vc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Ox27AoODQCKKSPmPcQ5bIB67pC4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\nSDh88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"prompt_number": 75, "text": [ "" ] } ], "prompt_number": 75 }, { "cell_type": "markdown", "metadata": {}, "source": [ "There is a point (red, above) in parameter space that minimizes the cost funtion ($RSS$, above).\n", "\n", "The challenge is to find the parameters, $\\theta = (\\beta_o,\\beta_1)$, at this minimum.\n", "\n", "---\n", "\n", "Because of the shape of the funtion (convex), this slope is negative until the global minimum is reached:\n", "\n", "$ \\frac{\\partial}{\\partial \\theta_j} J(\\theta) \\leq 0 $\n", "\n", "So, we can use the gradient descent algorithm:\n", "\n", "* Start with a guess for $\\theta$\n", "* Compute the slope\n", "* Iterativly change $\\theta$ in the direction of greatest descent of $J(\\theta)$\n", "\n", "$$ \\theta_j := \\theta_j - \\alpha \\frac{\\partial}{\\partial \\theta_j} J(\\theta) $$ \n", " \n", "We can see:\n", "\n", "* $\\alpha$ as the learning rate \n", "* := indicates assignment of values any element $j$ of $\\theta$\n", "\n", "$\\theta_j$ is updated until $\\frac{\\partial}{\\partial \\theta_j} J(\\theta) = 0$ at the global minimum.\n", "\n", "---\n", "\n", "In order to use this, we need to know $$\\frac{\\partial}{\\partial \\theta_j} J(\\theta)$.\n", "\n", "Starting with the cost funtion: \n", " \n", "$$J(\\theta) = \\frac{1}{2} \\sum\\limits_{i=1}^m (h_{\\theta} (x^i) - y^i)^2$$\n", "\n", "Lets neglect the summation, so we will show this for one training example:\n", " \n", "$$J(\\theta) = \\frac{1}{2} (h_{\\theta} (x^i) - y^i)^2$$\n", "\n", "We compute the partial with respect to one of our parameters, $\\theta_j$:\n", "\n", "$$ \\frac{\\partial J(\\theta)}{\\partial \\theta_j} = \\frac{\\partial}{\\partial \\theta_j}\\frac{1}{2} (h_{\\theta} (x) - y)^2 $$\n", "\n", "$$ \\frac{\\partial J(\\theta)}{\\partial \\theta_j} = (h_{\\theta} (x) - y) \\frac{\\partial}{\\partial \\theta_j} (\\sum\\limits_{j=1}^m \\theta_j (x_j)) - y^i) $$\n", "\n", "$$ \\frac{\\partial J(\\theta)}{\\partial \\theta_j} = (h_{\\theta} (x) - y) x_j $$\n", "\n", "This results in the least mean squares (Widrow-Hoff) updater rule:\n", "\n", "$$ \\theta_j := \\theta_j + \\alpha (y^i - (h_{\\theta} (x^i)) x_j^i $$\n", "\n", "---\n", "\n", "In practice, we:\n", "\n", "* Compute this for all paramters ($\\theta_1$ to $\\theta_n$) in parallel\n", "* Perform this across our training examples in two modes\n", "\n", "Batch:\n", "\n", "* In batch mode, we perform each update to $\\theta$ using all training examples.\n", "* The problem is that this method can be slow for large $m$, as it must process all $m$ prior to making a step.\n", "\n", "$$ \\theta_j := \\theta_j + \\alpha \\sum\\limits_{i=1}^m (y^i - (h_{\\theta} (x^i)) x_j^i $$\n", "\n", "Stochastic:\n", "\n", "* In stochastic mode, we first converge on $\\theta$ using a single training example. \n", "* Then, we move to the next training example, starting with the prior converged value for $\\theta$.\n", "\n", "For $i$ in $m$:\n", "\n", "$$ \\theta_j := \\theta_j + \\alpha (y^i - (h_{\\theta} (x^i)) x_j^i $$\n" ] }, { "cell_type": "heading", "level": 4, "metadata": {}, "source": [ "Learning strategy 2: Maximize likelihood function with gradient ascent - " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Our model prediction deviates from actual value by an error term: \n", "\n", "$y^i = \\theta^T x^i + \\epsilon^i$.\n", "\n", "Lets $assume$ errors are IID (independently and identically distributed) according to a Gaussian distribution with mean zero and some variance $\\sigma^2$.\n", "\n", "Recall the probability density function, which tells use the relative likelihood for this random variable to take on a given value:\n", "\n", "$$ P(x) = \\frac{1}{\\sigma \\sqrt{2\\pi}} exp(-\\frac{(x-\\mu)^{2}}{2\\sigma^2}) $$\n" ] }, { "cell_type": "code", "collapsed": false, "input": [ "import scipy.stats as stats\n", "u,s=0,1\n", "rv = stats.norm(loc=u,scale=s) \n", "x = np.arange(-5,5,0.1)\n", "plt.plot(x,rv.pdf(x),lw=2,color='b')" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 76, "text": [ "[]" ] }, { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 76 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Useful reminders for the Normal distribution:\n", "\n", "(1) Compute the expected value, $ E[x] = \\int\\limits^{\\infty}_{-\\infty} x P(x) dx = \\mu $\n", "\n", "(2) Compute the z-score for a given value, $ Z=\\frac{(x-\\mu)}{\\sigma} $\n", "\n", "(3) Known fractions (e.g., 68%, 95%) of the data within specified z-values from mean (e.g., 1, 2).\n", "\n", "(4) Integrate density to convert to absolute probability of with observing value within a given interval: $ P[b\n", "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "
survivedpclasssexagesibspparchfareembarkedclasswhoadult_maledeckembark_townalivealone
1 1 1 female 38 1 0 71.2833 C First woman False C Cherbourg yes False
3 1 1 female 35 1 0 53.1000 S First woman False C Southampton yes False
6 0 1 male 54 0 0 51.8625 S First man True E Southampton no True
\n", "" ], "metadata": {}, "output_type": "pyout", "prompt_number": 112, "text": [ " survived pclass sex age sibsp parch fare embarked class \\\n", "1 1 1 female 38 1 0 71.2833 C First \n", "3 1 1 female 35 1 0 53.1000 S First \n", "6 0 1 male 54 0 0 51.8625 S First \n", "\n", " who adult_male deck embark_town alive alone \n", "1 woman False C Cherbourg yes False \n", "3 woman False C Southampton yes False \n", "6 man True E Southampton no True " ] } ], "prompt_number": 112 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Compute Pearson correlation." ] }, { "cell_type": "code", "collapsed": false, "input": [ "from scipy.stats.stats import pearsonr\n", "print pearsonr(titanic.survived,titanic.pclass)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "(-0.037697890718650616, 0.61338467913032124)\n" ] } ], "prompt_number": 115 }, { "cell_type": "markdown", "metadata": {}, "source": [ "This returns $r$ along with a p-value. \n", "\n", "The p-value indicates the probability of an uncorrelated system producing data with Pearson correlation at least as extreme as the one computed from these datasets.\n", "\n", "Similarly, we can compute a correlation matrix with embedded $r$ values along with indications of significance. " ] }, { "cell_type": "code", "collapsed": false, "input": [ "sns.set_context(rc={\"figure.figsize\": (8, 8)})\n", "sns.corrplot(titanic)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 114, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": 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xdu1ag7JW+KlOhULB77+fZurUMBo3bkKzZs0BaNDAlwULCg/6f/fdAs6fP6c7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\nT09HpVIBoFKpSE9PL7FecHAw06dPJzs7u9h7kZGRxMTE0K5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"text": [ "" ] } ], "prompt_number": 114 }, { "cell_type": "heading", "level": 4, "metadata": {}, "source": [ "Implementation - " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In scikit-learn, we use an estimator, a Python object that implements the methods fit(X, y) and predict(T).\n", "\n", "In the case of linear regression, this simply implements Ordinary Least Squares (scipy.linalg.lstsq).\n", "\n", "In addition, the estimator object will return a metric, $r^2$." ] }, { "cell_type": "code", "collapsed": false, "input": [ "import sys,os\n", "import pandas as pd\n", "import matplotlib.pyplot as plt \n", "import seaborn as sns\n", "%matplotlib inline\n", "\n", "# Read Ch. 2 data - \n", "t=pd.read_csv(os.getcwd()+'/Datasets/Advertising.csv',index_col=False)\n", "plt.scatter(t['TV'],t['Sales'],c='b')\n", "\n", "# Linear model -\n", "from sklearn.linear_model import LinearRegression\n", "reg = LinearRegression() # estimator that implements the methods, fit and predict\n", "\n", "feat=np.array([t['TV']]).transpose()\n", "targ=np.array([t['Sales']]).transpose()\n", "\n", "reg.fit(feat,targ)\n", "predicted=reg.predict(feat)\n", "plt.plot(feat,predicted,c='r')\n", "\n", "print \"The coefficient of determination is: %s\"%reg.score(feat, targ)\n", "print \"The computed model parameter(s) is(are): %s\"%reg.coef_" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "The coefficient of determination is: 0.61187505085\n", "The computed model parameter(s) is(are): [[ 0.04753664]]\n" ] }, { "metadata": {}, "output_type": "display_data", "png": 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JioAQeIGginD7digpKZ0zj1NT6xAcfC7X9gqFgjFjdnH6tDugQc2a+5g92zLHjVMAVlZJ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\nNN3RaDyZPTuK2bPvfi5r0Wg8OXToGeLi4jl/vpS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"text": [ "" ] } ], "prompt_number": 89 }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can also use Seaborn to explore linear relationships.\n", "\n", "It displays a scatterplot and regression line (with 95% confidence band to give an impression of the certainty in the model). " ] }, { "cell_type": "code", "collapsed": false, "input": [ "sns.lmplot(\"TV\", \"Sales\", t)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 88, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": 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w5LNWPjrfQjgSDdSgj440mknn2b3S5juXCOEVLGpWlKZz7lY3bXYvGgkeW184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\nC7y//OUvKSoqoqenh507d1JTU8PKlStHfXxSVXn7o1b2v9ekH/e1mo0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"text": [ "" ] } ], "prompt_number": 88 }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can also use a residual plot, which is pltting the model residual ($e^i = y^i - \\hat{y^i}$) with respect to the independent parameter." ] }, { "cell_type": "code", "collapsed": false, "input": [ "sns.residplot(\"TV\", \"Sales\", t)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 92, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": 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jRc/Ddy6N6xS7eLyfFouZrz2wkv2nWtBolNy3tZTcrJldJ15/95Y+V1ho0eMLkJKWhE4T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\npDemZrMZ69evR2xsLJYuXYo5c+ZIbjwHywjYbiwlXTwyMjK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"text": [ "" ] } ], "prompt_number": 92 }, { "cell_type": "code", "collapsed": false, "input": [ "sns.jointplot(\"TV\",\"Sales\",t,kind=\"reg\",color=\"seagreen\") # Regression plot along with the marginal distributions of the two variables" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 111, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": 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fMWvWLJYuXcq9997Lxx9/zMUXn/mGYyS2rD6dSG2x3ZqeFrPE27V6U7xns2L6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survivedpclasssexagesibspparchfareembarkedclasswhoadult_maledeckembark_townalivealone
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2 1 3 female 26 0 0 7.9250 S Third woman False NaN Southampton yes True
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" ], "metadata": {}, "output_type": "pyout", "prompt_number": 139, "text": [ " survived pclass sex age sibsp parch fare embarked class \\\n", "0 0 3 male 22 1 0 7.2500 S Third \n", "1 1 1 female 38 1 0 71.2833 C First \n", "2 1 3 female 26 0 0 7.9250 S Third \n", "\n", " who adult_male deck embark_town alive alone \n", "0 man True NaN Southampton no False \n", "1 woman False C Cherbourg yes False \n", "2 woman False NaN Southampton yes True " ] } ], "prompt_number": 139 }, { "cell_type": "markdown", "metadata": {}, "source": [ "First, recall that we can easily use factor plots to split and plot the data by categorical labels." ] }, { "cell_type": "code", "collapsed": false, "input": [ "sns.factorplot(\"survived\",data=titanic,hue=\"sex\",palette=\"Set1\")" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 129, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 129 }, { "cell_type": "code", "collapsed": false, "input": [ "sns.factorplot(\"sex\",\"age\",data=titanic,hue=\"who\",palette=\"Set1\")" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 133, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 133 }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can use facet grids to view the underlying distributions." ] }, { "cell_type": "code", "collapsed": false, "input": [ "fg = sns.FacetGrid(titanic,hue=\"who\",aspect=3,palette=\"Set1\")\n", "fg.map(sns.kdeplot, \"age\", shade=True)\n", "fg.set(xlim=(0, 80))" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 134, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": 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tN3ta36TP6AUGpmAjPRmEgjko/Vmk2zLwOpPJ8aikJES/H3W0NMVCgpZMgvb5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\nf6qPeCUBty0bb4KXvCTvYDGYEpd6St8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"text": [ "" ] } ], "prompt_number": 134 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Or, violin plots." ] }, { "cell_type": "code", "collapsed": false, "input": [ "pruned=titanic.dropna()\n", "sns.violinplot(pruned.age,pruned.who,\"points\",palette=\"Set1\")" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 140, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": 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irtOF3buri2JtBgU7IRazfsObSCWT8M6vsN0WnpFwTvND9Mt49bWXkMmkWZdj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"text": [ "" ] } ], "prompt_number": 140 }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can then explore linear relationships, using jitter to make the data easier to view." ] }, { "cell_type": "code", "collapsed": false, "input": [ "sns.lmplot(\"age\",\"survived\",titanic,y_jitter=.05,palette=\"Set1\")" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 143, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": 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SWCrL89udPFqPrhL0O0HCTNZgKDnK51ywotMZxxI0LKukWRCM5GAnUnm8BbdV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\nMq5pruVUbwpjKHOt2YmMGVkIx7Js120kSRLzZ0a5ckE1/+ORHcNtkBy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"text": [ "" ] } ], "prompt_number": 143 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Use bins on the data." ] }, { "cell_type": "code", "collapsed": false, "input": [ "sns.lmplot(\"age\",\"survived\",titanic,y_jitter=.05,palette=\"Set1\",x_bins=4)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 144, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": 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p/coSWTqXJeToIg2zUYLNYoDVPLr2dPYGsPvDzzDgCDe0tvmw7U+n8M2/rNCgtUQTi+Gb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\n4WsavhUVFWhsbERTUxMKCwu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"text": [ "" ] } ], "prompt_number": 144 }, { "cell_type": "code", "collapsed": false, "input": [ "age_bins = [15, 30, 45, 60] # Specify bins\n", "sns.lmplot(\"age\", \"survived\",titanic,hue=\"sex\",palette=\"Set1\",x_bins=age_bins)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 145, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": 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6OpSUlODgwYN45JFHYo5ZvHgxNm/eDFmWEQgEUF1djVtuuSUh75+OtGU1i02t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\nvClS+dsUWv4LZ9uVFYxtr9R4od4fDP/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"text": [ "" ] } ], "prompt_number": 145 }, { "cell_type": "heading", "level": 4, "metadata": {}, "source": [ "Where does this break - " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Non-linearity:\n", "\n", "* The linear regression model assumes that there is a straight-line relationship between the predictors and the response.\n", "* Residual ($y_i - \\hat{y_i}$)plots are a useful graphical tool for identifying non-linearity.\n", "\n", "Of course, examining the residuals is useful to identify this (below)." ] }, { "cell_type": "code", "collapsed": false, "input": [ "# Mock non-linear data\n", "t['non_linear'] = t.TV + 1.5 * t.TV ** 2\n", "sns.lmplot(\"TV\",\"non_linear\",t,color=\"indianred\")" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 107, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": 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fXl5OTk4Ofr+fhoaGk171RnNWUVaWNeqzmqSGtuf3lh+i5h9PhtoMWlwc9uLp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\nFIDRo0ezaNEi6uvrUUrx5ptvcuedd3a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"text": [ "" ] } ], "prompt_number": 107 }, { "cell_type": "code", "collapsed": false, "input": [ "# Residuals\n", "sns.residplot(t.TV,t.non_linear,color=\"indianred\")" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 106, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": 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1sfaGhgaKi4txu92sW7du2PdjtEh1X4sCoCjR/zSNvrf26R1LiM+l55WXCB/x\nEunyoUUiGBISGHfpZXrHGvNOWYieeOKJ4cxxUv/7v/9LeXk5f/7znwHYsmULeXl5VFVVMX36dLZs\n2QJAY2MjO3fupLKykq1bt3LvvffGDimuXbuW9evXU11dTVNTE7t379Ztf0YyQ1IS5pxJoBhA00BV\nibS1xs4bCRHvul/cje/JbQQ/+ggtGCIhPZ2M79yC2XWO3tHGvLieQOzT56d27drFokXR6WYWLVpE\nTU0NALW1tRQVFWE2m8nOziYnJ4f6+nq8Xi9+v5/c3FwASkpKYtuIzy+z9PsY7XYwmTBYrShWW3R5\ncSFGgN5X90S/RAFEIvQfOYIxJVXfUAKI40KkKAqlpaVcd911sdFZW1sbmZmZAGRmZtLW1gaA1+vF\n5XLFtnW5XHg8nhPanU4nXq93GPdidDGOG4dtZgFm53iMqWkoioLJLjNtiJFBSRx4j5A5I0OnJOLT\n4nap8Mcee4ysrCza29spLS3lS1/60oDnFUWRO6B1kJz3ddReP8Hmw5jHn0Ny3tf1jiTEGUmZNYeO\nJ59A7fNjTLaSU1pKl6xuEhfithBlZWUBkJ6ezjXXXMO+ffvIyMigtbUVh8OB1+slPT0diI50Wlpa\nYtu2tLTgcrlO2n7sfT+Lw2Eb5L0ZfHpmdH73W7F/RwIBgm1tWBwODCe5wGUk9CVIzsEWlzkdl+Oc\nNpmwz4dl/HiMiYk49M50huKyPwdRXBaivr4+IpEIVquV3t5e6urquOOOOygsLGTHjh2sWLGC8vLy\n2JpIhYWF3HXXXSxfvhyPx0NTUxO5ubkoioLVaqW+vp7c3FwqKipYtmzZaX9+a2v3UO/iWXE4bHGR\nMfBBI21/3IoWCKAkJeFYcQcJ53xyyX+85DwdyTm44junCayZ+LtDOBIT4zjnJ+K7P6POtlDGZSE6\ncuQId9xxBwCRSITi4mKuuuoqLr74YlatWsX27duZMGECDz74IABTpkxh3rx5FBUVYTQaKSsrix22\nKysrY82aNQQCAQoKCsjPl6UNBkvnU0+iBQIAaH19+Mq3kSU3uQohPidFk6kTTjASvn3EQ8aWDfcT\nbvWghSOgqSgJCWTd+VMSJmQD8ZPzdCTn4IqXnJqmEfr4EADmc7JPOKccLzlPZyTkPNsRUdxeNSfi\nn7VgVvQSey16xleLRDjyhy06pxIiWoQ6Kytof/xR2h9/lM7KCpmuLI5JIRJfmPWKK0m86CtgNILJ\nhGIwovpg8SO3AAAgAElEQVR7UPtlyhShr/CRVgLvvA1Ei0/g3XcIH2nVN5Q4JSlE4qxYZ3wdxWRC\nUaJ/Sqa0DAyyhIjQkRaJ0FVbRbjVS7jVG5tLTjHF5SlxgRQicZaSpn6ZtOtvImHSuSReeBGZ37tN\n70hijAscaCD08WGU5GRQNSJdnSRfOQNTWrre0cQpyFcEcdaS/+UKkv/lCgDUvj56972BwWJBy7hC\n52RirAl1ddG+7THUnm4USyKGjMzYjCAifkkhEoNGDQRof+yPhH0+AAwfN5Fw9TydU4mxxPP/lqEd\nPUepBfpQOxVSr56tcypxOnJoTgya4MGmWBEC6HrrLdT+gI6JxFjS/8+PYkXoGMVsIvmKk680LeKH\nFCIxaAzjxgGghUKEj3jpb2mhq/oZNFUm9BJDS1NVuqp2ntBuzs7RIY34vKQQiUGTMGEi1ul5qN1d\noGmY09IIvPcP+hrq9Y4mRjnfX3YQeGf/wEZLIlnf+6E+gcTnIoVIDCprXj4JEydhcjgxJiYC0QsY\nhBgqajhMz0svDGhTEpMYf/dafQKJz00KkRh0ScctvWxISiLxggt1TCNGOzUQOLrgnRJbyt4yZSom\nW4re0cQZkqvmxKCzXpmH2XUOVkOIgN0JmkbI04Ip04FiNOodT4wyxnHjSJiQTfDwIdA0lIQE0hYt\n0TuW+BykEIkhYZl0LnaHjaZdL9BdW42mqpjHn0P69TeimM16xxOjgKaqdP71L/T/4x2UZCvJ0/NQ\njCasefly8+oII4fmxJDq2f1c7Kq5UPPHBP5xQOdEYrToa9hH4J0DaJqG2tON2tND2sLFmB0jZbk7\ncYwUIiHEiKQGBl4Eo/X16pREnC0pRGJI2QpmoRgMaJqGITGR4MGP6H3rTb1jiRHO/8oe+t6qR+3p\nRotEAEjK/arOqcQXNSbOEe3evZv7778fVVW5/vrrWbFihd6Rxoyki3NJmHQu/ldfpvfN1+k78DZ9\nB96GiMq4466uE+JMBd59h+6654HoTdRGWwopc+djmXSezsnEFzXqR0SRSIR///d/Z+vWrVRWVlJZ\nWcn777+vd6wxxWhLIdLRARpEOjsIt3roevYZIv4evaOJEaj/ow/QwqHoA0P0KkwpQiPbqC9E+/bt\nIycnh+zsbMxmM0VFRdTW1uoda8wxObJQ/T1ogX5QNdS+Prqfl9+D+Hw6nnyCnpd2Ez5yhEhndF7D\nhHMn65xKnK1RX4g8Hg/jx4+PPXY6nXg8nlO+vri4eMDj7373m/J4EB5b876OKcvJz945gDJuHFgs\nhJo/5rvfuSEu8snj+H/sf/Pv3PmHrWh9AUBDi0T4f/buIWX2nLjIJ4+/uFF/jkhRlM+9jcNhi/3b\naDTE3ePjM8ZDnjN9PO6bS1Gq/4o50ULI146qRVB7/dgtGuaUFN3ywcjsz3h9DIPfn+GeHlqefhIA\nLRJGMZkwGg0YExPJctnjav9HQn8O1eMvStE0TTvrd4ljb775Jps2beJ3v/sdAJs3b0ZRlM+8YKG1\ntXu44n0hDoct7jPCyXMGPz5E+/89ghbsR0mILilunXEV1hlX6RERGNn9GY+GImfLxgcIHT54dCof\nwGDAMvl8sm770Rd+z7Hcn4PtbIvRqD80d/HFF9PU1MShQ4cIBoPs3LmTWbNm6R1rzEo4Jzs61c/R\nIgSATPsjPkPg/fcINR/+pAgBhmQrmctv1TGVGEyjvhCZTCb+7d/+jVtuuYWioiKuvfZaJk+Wk5t6\nshXMwpCQAJqGFg7hf/Vl2rf9Sa6iEydQAwE6n3lqQBFCMWDNvxpD0jj9golBNerPEQEUFBRQUCBr\n1scLy6Rzybz1dnpefB7/G6+j9fcTPPhPup+rwT6/RO94Io50P19LxOdDMRqjtcigkJBzHqmz5px2\nWzFyjIlCJOKPwWJBC4cHXEwS6e7SMZGIN8Hmj+nb9wZaKISSNA4lFMLkGo/j1tv0jiYG2ag/NCfi\nV+IF01AMn/wJJn1Z1i0SUZHubnzb/w+1vx8tEEAL9mNIzyB17nwMiUl6xxODTEZEQjeWSeeRtuQm\ngof+iSnTgdnponffmxiSk0mcfL7e8YRO1HCYIw//D8GmD8FoxGCzoagqqe55JJ5/gd7xxBCQQiR0\nlTAhm4QJ2US6u2h/9A+E2tsgHCbpkstIW3Cd3vGEDnzl2wj+swlUFVQVzd9DwuTzSZp2sd7RxBCR\nQ3MiLvS//x6h1lYivg4iXV301P2Nvv1v6R1LDLNQSzN9b70JkUh0HjlFAYOBtMXfRDHJ9+bRSgqR\niAuGpKTo+jKRCETCEA5z5NGHCLV69Y4mhknQ66HlV79A7e6OjoYiYTAaSZp2say4OspJIRJxwTJ1\nGmbX+OgH0DGBAJ7/7z9Qw2H9golh0/bI7yEUPK5FYdwll5F203d1yySGhxQiERcURSGz9Pson7pJ\nUevtxffUdp1SieFy5H9/T/jQwYGNJiP2kiUYDPIxNdrJb1jEDWNyMvZFS09o73vjdfo/lDWkRqu+\ndw/Q9+brn2pVsOUXYhwnsyeMBVKIRFyxXv41LOdfED1JDaAoKOPG0fvGpz+oxGgQamvlyO83D5zC\nB0i65Ksyy8YYIoVIxJ2s235E4oUXYbDaMDqyUBIsRPw99Dd9pHc0MYg0VeXI1t9CMDigXUkaR/oN\n39YpldCDFCIRl9Jv+A6WKVNRzAloPd2EW5rp2P5/dNX8Ve9oYpC0b3uM8KevijSZcN71MwyJifqE\nErqQC/NFXDJarWR+5xb63m6g869Po/b6ifg66Dx8kLDfT/rCxXpHFGeh67ln6d374sBGJXq/kDk9\nU59QQjcyIhJxzWizQSRMpKM9emm3puF/vpa2Jx7VO5r4giJ+P13VOwc2GowkT5+J9co8fUIJXUkh\nEnEtYeIkLFMuOOFkdu/LL9J7YL9OqcQXpQaD9Ly6By0SAeMnB2TMEyeSdv03dUwm9CSFSMQ9e3EJ\nmMwntPv+/Fj0A02MCGqgj5b/XEdX5VMQjoCmopjNGGwpZN5y24AlQcTYEneFaNOmTeTn51NSUkJJ\nSQnPP/987LnNmzfjdruZO3cudXV1sfaGhgaKi4txu92sW7cu1h4MBlm1ahVut5ulS5dy+PDhYd0X\nMTgUk5mMkywLrfb04KuQm11HAk3TOPLQFiLtbaBGwKAACsnTr8L5459hstr0jih0FHeFSFEUSktL\nKS8vp7y8PLayamNjIzt37qSyspKtW7dy7733oh09XLN27VrWr19PdXU1TU1N7N69G4Bt27Zht9up\nrq5m+fLlbNiwQbf9Emdn3IUXY5tbfFyLgsFmpbehHn/9G7rlEmcm+M8mwl7PJw2aFp05YX4JJrtd\nv2AiLsRdIQJiBeZ4tbW1FBUVYTabyc7OJicnh/r6erxeL36/n9zcXABKSkqoqakBYNeuXSxatAgA\nt9vNnj17hm8nxKCzu+eR+cNVGDMdGDMyUbt70Hp76a75K/7XX9U7njgF/99fpfOvf0GDATNoJ185\nE8V84iFXMfbEZSF65JFHWLBgAXfffTddXdHlo71eLy6XK/Yal8uFx+M5od3pdOL1ek/YxmQyYbPZ\n8Pl8w7gnYrAlTZlK6pz5oKl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