{ "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": true }, "outputs": [], "source": [ "%matplotlib inline\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "import pandas as pd\n", "import sklearn" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#K-means Clustering" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": true }, "outputs": [], "source": [ "import scipy.io" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": true }, "outputs": [], "source": [ "data1 = scipy.io.loadmat('ex7data2.mat')" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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dCl2/T0paeyhc45mj0sVtXc+XKQTEfUvh9zPXfr9KNArfMfIjEANRlduKLRro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\nGACAiAjEAABE9P8BXhIdWSzuu3cAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(8, 6))\n", "plt.scatter(data1['X'][:, 0], data1['X'][:, 1])\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": true }, "outputs": [], "source": [ "from sklearn.cluster import KMeans" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "array([[ 6.03366736, 3.00052511],\n", " [ 1.95399466, 5.02557006],\n", " [ 3.04367119, 1.01541041]])" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "clf = KMeans(n_clusters=3)\n", "clf.fit(data1['X'])\n", "\n", "clf.cluster_centers_" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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7nu3dI4S4bBAREalMyuXmZeZl2Suzg54RT7h4U5G9ckfFKAAodApT5286y5CcrXvJUCQi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\ngg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(8, 6))\n", "plt.scatter(data1['X'][:, 0], data1['X'][:, 1], c=clf.labels_, alpha=0.3);\n", "plt.scatter(clf.cluster_centers_[:, 0], clf.cluster_centers_[:, 1], c=[1, 2, 3], marker='x', s=300)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#Image compression with K-means" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": true }, "outputs": [], "source": [ "import matplotlib.image as mpimg" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": true }, "outputs": [], "source": [ "bird = mpimg.imread('bird_small.png')" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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wdXWsGxHGuulIE9ZMwNaGdENGClUl8/GVjRInOhMWBbfALVHDzt7v12zk+fZ3PmylX1Ng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eENImd1jVLobM9+t0HyG5Y5MT0lptMCdtIxtn2+KhjH+Ib+7oD5h+/oes9ShGIDWU7kZBDx+O0W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18KiFTbCF2x3t73n6ZhVtVe6v7Tl8LxHS+7q1M/jYQcOWelh5bw9GdyzAG91/Cyh6uCvg/G6k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\nHOhAB+IgCA50oAMB/wtuZhs2CYTL0gAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.imshow(bird)\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": false }, "outputs": [], "source": [ "w, h, d = bird.shape\n", "data = bird.reshape(w * h, d)" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[[ 0.0834935 0.09036529 0.08008345]\n", " [ 0.75141674 0.59885216 0.33388374]\n", " [ 0.97696686 0.9449037 0.81487768]\n", " [ 0.44822041 0.38334575 0.35380492]\n", " [ 0.82769043 0.74617228 0.73630365]\n", " [ 0.26959873 0.25164143 0.25290671]\n", " [ 0.39013966 0.46148964 0.65079703]\n", " [ 0.70019541 0.62881643 0.55957062]\n", " [ 0.86640783 0.71524649 0.45322981]\n", " [ 0.63555295 0.46031496 0.20289512]\n", " [ 0.15880958 0.16137279 0.15292723]\n", " [ 0.43953884 0.3145142 0.19034396]\n", " [ 0.91669935 0.57227943 0.253317 ]\n", " [ 0.96278682 0.85616545 0.62635042]\n", " [ 0.57213287 0.72428973 0.86969188]\n", " [ 0.58509721 0.49565052 0.44318836]]\n" ] } ], "source": [ "clf2 = KMeans(n_clusters=16)\n", "clf2.fit(data)\n", "\n", "print clf2.cluster_centers_" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "collapsed": false }, "outputs": [], "source": [ "compressed = clf2.cluster_centers_[clf2.labels_].reshape(w, h, d)" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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T6g/fgXQRVes5KTw1fucXGVzAYbPAeYn1l7UoYyxFPQqBpycbyqZDCMF8kox+ACBPIw4W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\n/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izWd8NnruNHwyy8DUGgDj8lRNUNpqiBWRhWbJmIIaOgDRZm16quUgolJf7WLkOphxWF\nO4s0YD9tSI1gnESkiWaca56PU06nmpPDmGfPT3n+xeeUz3+f7ODLDzoX7wLverzrkHrgCHxsCHXz\nuK7HD9kGuybh/r3YBgYGopCSOE4oynJYHS9xzTnWOpZNShZdrYjKRKQmom/qcDN7DxrrWXWWi0XL\nfGuJNPg0wcYZrpwhZ6fE8oykXiGVI5Ix4+mU8XhGkYci1vctfd8h5MdhpPa2ww49jKat2FQLumse\nCQKBNrvGdk8aGU6mI97M387p+9EWgndB07XY9QIIvYIyy8P9V16wrWtW1c1mlHNuH4O2gxCCJEnu\nTU0WQpAmaehBMAichKDQHYdJy0+/mvKTrw75/MsvmR0/Jxkfk6Q5cZKgkuKTfvbbkPEIb9Iw4/8V\nwHfrQXEISIPMjh59vNaa0Xi8dwXukvdLlnpT9/xi1fKLc8e6cRxPBS4JZqsIhTh7ufdTBIiihOn4\nhDS9+j6U0vtx4ceYGFTVknUVLmrn7D4sZwchBXmZo7RitVgRx4YDdWVT9xh+tIXAE/Tst++t9D2B\nKM452oGVqKTCORf6C9rQqe5O7v0u/fY6xKBpEATrs11z0mhNZCKSKA5mo8pSZIrJKObZbMKLw5Qv\nvjzhxefPODx9QTY5HsaAP9BXJw3iE44g70CoKxt1qYf+gUTE4xCHNuwWhJBEaYZ3lq6pcXk4/xvr\n6N0F0vfsuoa2a+maLX3bgHeoukJtVzcmBo31LFrPuo/Z+phWRnTmGW32M0wi0Lpl0yjWbYd1LZFU\nRFGKvqYWFUJizHvG0F9D17e07ZZtvaK5ZeHedz1t02Iig4lM2BHYcLurpERFkjSOSeNk6Dfdjx9t\nIXDOUTcNNDfFLVmafpL5/84G3TpHlqbIQeQTRzGjvAymp9JxEDd8fRzzB7+b8dXPfsLnP/ldovEL\ndH4Ybi2k+uRjwF8nCJOjduzEXSMREPkJbqsD5wAf5MCjGcpErM5fEcUxJooQixXV9gLpxuwKQVtv\nWZ2/xFmLcA6zOkevLu+mJgkJ0QRvpnRRSWO+oDW/z7hoKfIlr9ZbzqsNrV3wKfdHdbPhcv7yXv/G\npmlYXCwoxyUmur9AJ3HCuByxWD3cD/nRFoKd+vA2DfhtKUXOO6qmphtWj67rnr7/xxUAACAASURB\nVKQS3E0ods1JozVJlDDLFYd5R1YecDgb8/tfJnzx+YzT56dMj44pZodhNGc+Hq/81xquv6E+3BGU\nfLu8Wv1VfEfD4JylqdY0m1W4wPdqUY+0DWZ9ju7X2NUFvTa4IXlRAOK62OgahBDkWUpsJoymY1Qc\nsVwvob9krd7w5pViufD0nSVOQvYATlOtPswVyzlLtV3RD/f/TVvtewPOOeqqph+SsdumxVnH5cWS\n83loCArvEd4TRYY0SzmcrTmZr+5tKO7woykEt5s1SspgSvqEZuF1eO/Z1lveR9EeGUM8xE5FJmI6\nHvOssDwvew6fHfDF11/xb/xrp5x89hxVPPukLMBfV3hvA9W4XYF3gQw1jAjdNkiMRTRC3pqIeOce\nngI4h14tUYuGHujLGRy+gHu4/x6BA5yQMBQCmZVMZxPi1LBtFjTL7xDbX3K2HLPeZggpiDPN7CSl\n3ogPKgTeO/o+TAS2g03a9dG07S2b9Ya6unlRz5dr5qsN3gfvidmkIMsS8lHBwWTEyXTJ2fzhCcaP\nohBopYji+MaYUHCXFPSrxKRI+YOvnvHXfzblD342Ip1+STE7ZXKQIdP0kxKAfp2xGx96FePqi2FE\n+A10VWBJJrOwQ5L6vd0adtmHXTnD3mq2bqVmIRPmOqYxCU6WRNowLg85PJlSzhK+++een79aUHcR\nWmuyMiMv80Fm/GEeB5tqyaZa0F4zS23qhmpd7QtC194tNFkSI6Vgtanpest8We2F0wrPwbggjn4E\nkWf7FKMHYqHjKPropI73gdGKMkv56rMT/tW//tP/n703h5UsS/P7fueec/fY3pKVWVVd3T1NzVAY\nkCNQomgIEGhIhiAKokGDoCVp5NGgJ5CEAMkbUBJAh/4QojEDjSUQskgaBAhIJCHIEgYCh7P0dHdV\nZdZbYrnruWeRce6NF/HyvZcv11q6/kCisiIiI24s97vnfN9/4Td+/WP+3T/7JJh5psuv+/C+fkzj\nQ+8R/WY/IrRmwBMRZxFCRHjTH4WoCCGQcUI8TgmctdhB7405GuPwJiz/E9OSDT1+aj4eNAkHIdnK\nlEYuMWqBGm3sIUJGMCssXki2bcFgLEnqKWcL8nzG0DuMfjtnROsMxuiRtBVgBrMvBPdBypBtGUUC\n6xxN1wfOF55YKcoiQ6n7Ly7fmUKgpCTLsjtP9g/lLPQYzPKcf+9Xf4W/9Bf/HP/Rf/wfcHY+Jype\nwy/wlxRdtUH3HTMvSIqRHOMGpiuwiCTF8oR8FvIYu3pHvb4I0yHn+UU9YNpwlX2SKX40j1H1hqir\nie7JK4hERDErSFLF8y9/Rr3+A+rnDdcXHu+hajpiK/hJviKJFlx/2WPt260IynyBkjHb3QXda4S8\n1m3Pru4w5qbX0fcDl7ZiOcsfLALwHSoEU9rrZD1+1xjwXcKNWvNDi7MkSY7yF6MoQikVRonescol\nP36S8+//+if8xp99yrPzhCT14DQ+kojHfB1uCE2z2x3ux0Km74Vx+M4h4yCUGp2KoqRFmiF8VneY\npoYk6hTGtkrwAhgodIit79qObvy76A2pFETCEAnBIolIlKIVikYcbzlUrFCxou97qrrBtWuuKknd\nhnHdYjEjz0siEdO3U/oVZIVCqoiuMdjh8d/VFIJ6yDtQsaIoi0Ar9h7da6w5bm7KKKRaWXvzWsFq\n32FsShyrB/M3vzOFYMJgDG3bvrcx4AQ3uh5NZqh5llHk+ZGxqVKKIs/p+x4zaD5ZSP7cZwV/8Tee\n8Cs/ypD6BXYIll6y/ATkq2fO3nS4+stg5/UGiCYX4W/ICuk+BIXhs73CsPBgs+TRwp04K1gkGUJE\nY/sPiASbyys2WlONJ2cSCX51mbJQEZcyp43ivT3ZBKUU8+WcrpZ8dQ2X65p1VfMrP/6UH/zgGXl+\n/L0JEdKIskJx8XlD+xqFAF7uMqRZSpIm4IPb1vpq/VIhKPOUJFZcbSpMe88EJLv/AvCdKwRKSrI0\nfSdFQEpJlmR7zUCv+yM14G2h0aRfmF57n6w8qheXqyecf/QpZVli+prLz7+iPP2Y5dNfAZWNo7Mt\nuvc0XUbbBhKJcmu8aan6jGq7pb78E6w54D8IiYhncIvtV2QJ6ThbTpRhlvaoNEUkf0RS/oCkfHZk\nhPnNwihqGs9JEanXYucJIRBSko1bBS8irDFU6w2DZr+Scx6+aAa2KMwMrCwxcoUqcuZxRpIkWGfp\nmo7tpuZy3eIcrOYlpydnPHnyjLOPFsgopt5q3Lg1iCJBJKPXrrdtt6NpK4bhuP+x39qKIOOXUtI1\n3Z64FlbEklmRBWciQA+GptO0vcZYR5HeP4X6zhQCTzgx5WgK8i6gIkmR58STP7539IO+cRm+1bwR\nQpAkycvkEiGIIkk+PyOfP8U6yfXVmp//0R/xEQuKT07wg8eZCrf7gmpruNisuLq+5mr9Ban5Kb6/\n5vl2yVcXNZdf/iHD4UxYJkT5R4j4OBTldDljOWr5i6Tno8WGVIUVzOz8LzJ/mvPk04LZMg1cHRHt\nefHROIMPNtmBrvth4MdVgD+66bWDWUdMAanOGbq6QsUx0Ugi895jved5a0j9wCr3iLREy0+RhWQ2\nfr+612w3O66ut1xvKpbzgrOTBeenTzg7e8LZsxI72GAh5kPjzvsp/+L1jrdpK7a7i3vvj6LQt5BK\nYgZzlLERCcGsuOGbVE1Hrw1dP9B2mvwewhF8hwrBFHOeJMmjY8ZeBWMNu7ra04EHEyjJfd+jh8fn\nzydxDHHM55db/u/f/ynruiKPPdXWc7b9kp+9+Ffsmo623uLqL9jVA8/rGVfbHevtFZGrwGra4Uu6\n3tA3zTHLTFiQz0mS7aiMDCuYy11DPBZFJS15rInGcMzz03/L6WlDViqKImFeZpRlQTkvmJUrZuWc\nWVGT5QKRnX64ZqYzuO76paAThsc3zu6DimMWq9XeqKOpK9r67uftmo5mvE/rgcurLVXT4rwnKzJO\nzlecfzzn9GlOkka0Q/g+innM/CRFd4b6S83Qv5+8CBUr5qs5bd3eO1FIk5iz1Yyq6ajbh+PPvjOF\nYDIoFYTGyWEK8pvCOoc9cL91YwqyviMx+SFMqsPLTYX54y+4uNqSjdV5/vznLP74gvWuoa53+O6S\nujdc9CnbpqNqHpsmpMmSntXCo/ZEmftpT+dXX7CaBX/ANFGs5gWLxZz5csb56VPOVics5xXzpaI4\ngayckaVRsD1/j0Qn721gFk5xamP2ob/DQfixmBqJWVGyODlh0JNiUez32io5NpYZ9EBdNRhj6XrN\ntmrQI5svywtOTs9Yns4ol2NzT0akhaJcJMxXCS9+PlBvHh+CY60Z1YWP+11JKcmLPBiXDib8MUEF\n670nVnL/Rw/ml6cQTBiMwTYNeZa9cy9EPQz0ff9G2Ych37BFD5pNtdmvMpSUKBkxWBue12qs82jX\nY95DevOETdPR9Dehq7+42KDUC1SseHryC56sFihpWCwLPvtRww8/XfLDTzJUeUaUvxsDzjtx68IW\nsg+f4Jqv8P2bRWSISJIvVggpEbC3No+E2DsLiyhMnQ71fN55qqajao7Hcnk243T1MWl603xLc8X5\nxwVSvdnFp+trNruLPa34sUiyhJVaUW0qttsdu7rFOsdqXhK/YmR4iO9cIXDO7f0Dpt/UlH34tlwC\n59y9kWnGWrTWwRT1npWIsQZjDd2jvuvXLzbWOdq+Qx401SZNhbzVaBuMZTB3v0bXdFxfh5MuLzKe\nX7W8eL7g6kXJyUctizPLfCbJ8yRMIN6lEvLWVxSyD0tEtMaLKBiZCkaD08d9RtOKIEnNGGoTfhnl\nfI6QkkFreu2ohwQ9RAxynPyI47GckhFprCiynCTJ0a2n3ur9qFAqhe4szfXw6C2BtQO9bmnal5WF\nj4Ecx+RZkWGspe0Huk7TdhqbKNI4JonVUe/gLnznCsGEKRwTgp9gURTBa+49YRgGrLUUef7BXZkn\nGGPYVdXRySQjyXK+QCaPvzpsm47duJSMrrf8yRcX/MEfFfx/50t+5ccVP/lJxZ/5UU76dEk0+zjI\ng98VHmiuiUgRFcF6zdkvHkynegzyPCeJY9abDbvWcFnN6QaFZ7v3/ZuVGbGSXG4qlIw4W80o8xTv\nPLurnqG3nH9S7lcCzVZz+WXDYxdzeuhZb14cUYrf6L2U+V59eH295XpbkQ4xyUpR5in5KzwJvrOF\n4LB5Yq2l67obD4DJp/CRMNYyaI15oC/gvcc5R6/DVOE+CzTnHMNBo/GGwvr2kOPo1FgTJNaE5e/r\nJjc77/fz+8BPsVxvw37ZCYkxlnZXcnnRcfbxjMWpoljERNH7K7QinQdfApUfUYvfBrrvAxdkGMAL\nnBNYJ5gmFEFgpmm6HmsdRZGxPFmSjVdX5zzWjiSfzlJvNfVGY83jP2+lYmblCU23o2134/MeKwyT\nNNm/5n0QIowrZRSRxIHGbqxls2vI03hvsX7vcTz6iL/FsNP+e0Q5shAfA+89Zhhou+6VJ5T3PsiS\nxzHmfYWg6/v9FiMbg1Duw+tsZ6SUFFlBr/t9IZjGqt77O58rEiIstd3DYupWD7Sj2EV3PVcXM56/\nMPyZesWnP1aodE6SKCL5fvQcIp4h4mCD/9JE4dFPIhAH5qJ6GKirCucFXiSAGD8rAI896BFEQpBm\nKavTVWjS3YLuDNfPW8xrkIecd0gZ712M9oXAuiOF4WwxI83TR/8WlJQsZjlV03G5DgrGJI4f5DT8\nUhSCN4UdfQiHO5yM7oIQgjRJSA5IRa/CMAzU96wj49cchRpj2NU77MFo0TlH3db7bcthr0BGESez\nnCiKuK6ae3sGh9g2PYNdc7Gt+XJdc7VteH75jB9dPeXTHz7j6ScPW4m9KXy/xukbjYF3bxJvnzBb\nnd+MXmUMQrHpCrRVODHQ655d0+4LY68H4pGoc7464ezkY4ps8dbvx1pDVV8DYu9x+K4xjQ/1YLjc\n7JiX99u2/VIWAjuOAacr9hEpYxw7WmsZjEFr/agpQRRFSClJRmfkRx/LrdXK7efkNQqBdZb2VpNq\nckYCQZZmHF6whWCvWHts6lOnB7pxZXC9ramqml29pWsrPJ68yMiKjOQB8sr9b0CD7e5sAvqhxXdv\n5wgcSUVa3hijGt2je83GrXBKodIdUTNgjEUPBjPy9vMsYbmYsVotmZUr4gPOvndhWxC2CHe/rnMW\nY24MbJSMR01MsLkL9viKNCkwVmMGc2R/Z61F9xoVv1561jQ+vNpU1E1P/sD24JeyEGitcc6Rj8SS\nruuw41U5yzJipd6INJS+I2rzh4J1nqtdE0Zqj1gN3Ia2lotthRciRI8LgbeOH/07n/Hk6euOGMfs\nw+76KMvwQ2HSE0zR5ZttzbYOWxCpJPPljHJWvrTdM9px/aINqer27t+KHjo22wusMwhgMT+nyBcs\nZuEzkpEiS0vUScxmd0HfdUeuV7rTrM2a+XJOMXs/grFfykIwjQHDiEgwHCgGB63xzgU+wiNXAlPD\n711RmydMW5M3VVImcbwnF0VRhB7p0ZOTsveefnj9JfYE5zydNlxv6+AmJCV4T5lZ5mlPUp4SPcJi\nzZsOTBuIRG+6/38NCJmAKvCxw0oVCtlkOOt9GBHm6V6PMC9LTlbnzGbLl/bpblwRqCSiXCYMvdtn\nEjpn6XVLO44GQyEQ2NKM1nU3YiUpVfjThO/m9orAWkvbtGEcnCbI1+AIPAa/lIUADsxLOZ4w6GEI\nHIRHdtpjpSiK4r34HUyx6G+qpMzSjFkeGmx60GzrijROiN9xSnOrB/orAwjc0PN0vuYsu2L1w79A\n8phCMFS4+os3l1a/LuISWX6Mq04waosXLzDmgt16R9/3eO8psoRsFOnM50vOTp8ym50Q3aN+zHLF\n2ccl1brfFwJrDdvdJV1fPXplOeGu1m1btwx6YHW6+r4QvEvcdbI/tgBEUwLRmHn4qhNrmihYa/cm\nphAafPfRlffipkcd0cvQWjMlLoQQFgN4drU44hqoSJKm2RsnM03inXXVIITnj38es1g0xIsL4kSF\nTMSH5MPewS3z0GBQurgzRGVvXjryF7ze3elRcPAPjhKaAwkqBmFwXtHUHdW2Ck1hFz7tLM/Ii5w8\nmzObLcnzkqyIKRcJURRWEPVm2J/0urdsrzr6xoxjx4q2C5Hoh0XA48N0wEOezwFP21b7Bmavm31m\nYjLu6XWv6ZpuP6J+3XFwnoZjnlSJd+HBQiCE+G3grwAvvPd/frztFPjfgB8x5ht679fjfX8X+E0C\nLe5vee//yWsd8bcEQogws8+yR12ppxNaj3bmZVHstxHd6Gnwul/uY9Dpnk4fE1X0yLqcECYdKXGc\nvHVEW91p+sHyx18sWS07nn78gvk8Qcblwz4C+6xDF+adQkCcI4onIUPB3QpDlUm4b/RvcN7eXwhE\nhJAxUXYCyRLvPM57nLFYY7DW0DYtbd0enbB5kXNyfsbp6hmzcomIBHkRc/o0R6oI5zzO1gza7huG\nupu2NZ6m3bKr7k4ebtodw9Dv6c23qcWTwnD/ue5qdK/B34TfTDhUwTrngnkJoYkZhKOCPEvemlD0\nD4F/APyjg9v+DvBPvff/sxDib4///3eEEL8O/HXg14FPgX8mhPg17z/Ueu/DQAhBmqbBCv2RJ84w\nDCHTwJh9M2pCHMeUQtD3fUhp/oCIoogiy8dpwruZ/3vvqeqWy+sNmwvJalVSzj59cEEg4hly/umo\nOuyCecpkUDpUuO7qjdWHIl0QpcGMJVy1e6rdlqpe09YDXaNRacRsOaOpmj2JJ8/nnK6ekSY5KpEs\nTlOK+Q1pSgjB4jRDxRHbqx7dvV6z1TrDrrrC43GvGIWmWcrJ2cn+dQ/zC3Snqav65mLT63GM3KGk\nZF5mj9oGPlgIvPf/Qgjx41s3/5fAXx7//r8C/5xQDP4q8Lve+wH4EyHEvwX+EvAvX3kU3zJEo9HI\nY2FHHQKAuvXvJuLRYAx8gEIw6S6sDVcPGUkiEWGsJfIedWuFM1m/CSFeuu9ueDo9UNUNTaXQbUPx\niv2xiCRepmEJH43L+DjH2z7kGUxjQyEQUYKQ2UvpUvfBWY/RhqFrqHaWi1/suL6+ZrO92BuETlZg\n1tyMlPO8ZFYuUYkkn8XMVilpfqjhgKxURFIw6OA7YLQdR4gCpRKSOMNYfWd/IMTihd6BNfbBFWEk\no3unBca8bGxqrafpepI4ZlZkjzJHeZMewVPv/fPx78+Bp+PfP+H4pP85YWXwncI0l3fOPXpr8E1C\nGifMihl1W9P2HXXb0I5qvDzNmBXl0RXEWEPV1EgpmRez99IU9brCtV/hrd7rFrzpguLQHKwEhELk\n54Fu/Eh9Q3v9c6pdy2Uz42ojuPpqTde2Ya7vPZGMmC/npGnKfDnfn1BZniEiweI0ZbZKidO7C79K\nIk4+yomTiOsXHdaEOLxZsdybkPb6/knIoAeqTXWvmA2gKAvmy/l79YZ5q2ah994LIR7a3N55X13d\n7OfiJP7aRDpvgn1jcBw7eu/vHRtOY8opOn0aM77uyWSMQY9X8rf1WHDeY10wXQ1Xe7MXOk6Wask4\nWZhuk5F81NYhSxRllvB0JXmydNxro+9tMGAdl8TuIMXII/C6Ajx+qPaPGf9hcC4eWvyB14Ku15hm\nS5zmyDF7sO0c28qwudyyuVqz6Wq2jaDZNUcnXRRFtCo8V5LeWN47b6jrDUUXkQ0KFQsG40Mz0B3Y\n0ylBViiKeYIZXHAx9tA1EufdvfZqzjmGfqBtW/ruYWl7FEVEKiJJXyarKaUoZsWxZV6smemBSAj+\n4Kc/449+/gWRjHDm/pXZmxSC50KIZ977L4UQHwMvxtt/AXx28LgfjLe9hHJWvsHLfjMghCAbw1La\ntsUqdW/cuTGGpm33oalpkpCmj+eMT5jYjUVRvHUh0IPeOy3dd9+inB84GylmZYng1ZOReZ7xyemM\nX/3U8Wc+cZTZ3dcIbwdce3HT4DtsIzmDay+mBx7/Q2fHtKPj42ivv6CvN8zPnu4LwXpn+MOftlxf\nDGzXFufrvX3Y0VO6wOs3xrA8We479U27Q49Xcmcizj8tMdpx8XmNPTih0lxx/klJWijOsnJ0WvNc\n/KKmPg7JvvVWHNW2omu7V44W+y4wIJeny5cKQZIlxGl8dMntux7hQ2/qz85+yH/4F/4c5bxkfbXm\n//jn/+edr/EmheAfA/8V8D+N//3fD27/HSHE3ydsCX4V+Ndv8PzfeExTgyRNAx+h66Y7gvZ/3C54\nbujLYlxBTI95zAl9qEx83b7EfbjLa/G2SWusjn9s983Ob2My0FzMM85OSxan56R5At0lnuXxKNDb\nW1d7QoNQJkfZh7eOHrzFak3X7PYyZN1U2GGg3a2p64FKp7y46Ln4akdb94T+383JFrkK5a7H2yQm\nOsG7UACSOCPP5/ui1/cdL55/Qd0lyCjB6RT8TSHSnWVz0aGSm8/I+3C7jBSzcoWznqurr7AHKxHr\n7J7heh8GY2m6nlhJiiwNk42RvShV8CCYLkJ5NiOJM5puh/eexWoeLNybDhEJpJIPshJfNT78XUJj\n8FwI8TPgfwD+HvB7Qoj/lnF8GN68/30hxO8Bvw8Y4G/69zET+wZgOrHTJEFrTdO2e/364Ql7+Pan\n8aGzFjmOgB66wk6hqUV+v1DkbXD4+rGKmRXlfhXwds8LeV6wWJ0wP3tKkuX47gIfiZs8BW/3MueD\nf4lIZoh4hrcd3FkIQsbh0Hc060vMcExFrrdbat3xoppzdd2zudreufKRviExnwMWTwxJSiRWCCBJ\nMlaLJ0il8N5yefUlm6trvrrwlMWck9Uz5EF/QveO4dLe2byUUlIUS/pW0ze/oG1veU0SPobwezpW\nmjrv0YNhs2vI0uBG3TYtXRsuOmmWomK1HyemacGsWGGdwdoBORrk6F7vv+uifMNC4L3/G/fc9Z/e\n8/jfAn7roef8tmMyL51IQFEUhZNVCBhpqnUdlrz2jmpvnaPtur024a5iMEW0vWvK8iHyNCNLs/17\neFfjwz1kQpQ/IUqzMcNwh51WAN7eccX3+H6NH6oQZ3YHnDW0uzVdvdunA0+wLmLdFTSdI9JfoKxj\nn3ZyCzZa0MU/QeCJBMxnEVlZEckbVWG5iCnmBUIZ5IWiqq/pdcf1+vnRd6ZkMgqRXs6kMNZQ1Wsc\nA5/98CdcXX3Fi+efHz1GG0NVtyRxzLwM34e1jl3TBR8E5+h6zcX1jnmZUWThdcxg2K135GVOMSto\n2h3WDiRxjlIJVb0mSRNWp6t749IP8UvNLHwTeO+P5v1pmpInyZ6rPsmWH8JkgmpM4JwHAshN0Qgm\nE2F7YYx5J0astxGrmCJ7t6sNJSPSJCZJU+I0I1JZSBwWYtQT3B/LDewbhvfBOUff1Oj2ZfKQ89Bp\nR9u2RN1z0DFwzl2tdo/Ei5xISeIkYjVvmc0cNovIZ4qsDCaks1VKV8/RjcdYjdbdAfEnPK/3jl63\nuFt0GSXjcGEwAyISzGYLmoPjDo1aR9dpqqYnSx1JLFFS4ryn7YPdGIAQnsFYRBTtexhwrFzVusVa\nw9nJHClzmnZHrDyp9Djxanbq94XgHeGxxqZRFJGNqsdDs5PDvaIxhrZpwtycoIj8NkxWiizh/GTB\nydkTysUSYTZ4K16iD78PCAyxeYFo11TrFzTDEsQZdxUC6XYk5ufM8pLFcsnpKmdxsqQ4mZEuC5J5\nSXzAxFMqZjE/PyrWE4wdaNot2+ry4FgEy8U5eTZjMT8bjUkvaZrN/jHWOTZVQ9Pq0WtSY4xlOS9C\nKM3BmZslMat5ycnpksXymHJ9m2l49D59RWK+YJDnDPKjBz+/7wvBW8KNZKFhGB6cBUNY8qtRoWfH\n0eJ9egdzUFCS99BqGcxA0909345V/Fr9gjhy5NLybAU/+jhhucxQcRJyCt/w+KwZGPru6ORz1uDs\nsCdoWVKsKBn0QN81dLtr+uqSvm0wlPhxRSxwRG5H5MOWI40aisJSZoYs1kCMtxrlaxJRkaoKIWb4\nKCUrY6zxdI06mhZMkEYzDD3GBBNS3feYwTD0hqJYkCQJXjiUVKRZRjErQnahdai9MarFWoe1jni0\nRTs0l8mylJPTJbMD/cFd8N7R9Q2xSsiSnCjKSQdP5TzDK76I7wvBW+KQJ/AQpuaiVIq2bd+bvuCx\naPvuJR3ChMPx4WOQS8vTvOXH54Zf+6FgNXv74zO6p7p6gT209/bhx26Gge1mQ+tP6eMlm6st9WZH\nordIsw2rq8PD94bYfIlygftfzgqWpydIKcfxYRU6+uNERUUg5x8TFR+xOEtJMsnFL+o7C0FYLZyh\nVMyw7unbns16w/pyTZwkrE6XLFdnrJYfIaMYLyybqw1mMCxmBUpJrjYWN/pBVE1PLfqj30aSJZyc\nrV5pA+ecpaquSNOC1fIj8sgSD9eYJueeHJeb9/Hw3d/jVQj2do87oSePA2sfppROUEqNngLvnr14\n1xhxQtsHY4wsyR5VECKZorIch6Rrthhz/sbH5aylb3b0TYUd9L7L3nUdepSNG2MwxtBpzXpbMVTP\nEd2XeFvv9+qR25EOfxq8Bqxlu9sG4Q6w1AIpBXlZkGbZXtXnnGXoaqqrL/Ftik9DReu7nvX6iu6O\nkBBrQy5i29Y03Y719Zbr9Y4iSyi8Z7vZMmhLvW0RMnhZnp0/5WQVFIrb3RYPRFKS5Rld29GOjUKA\nIksp82zMUXyFwtV5qraibToioRB5Tapezf+Ab2kh2L+xt5DofmhM48PXQawU+cH4cDpx3wfN9xC9\nDktdGclHFQIvE1yyoNGCy6st5WlHsbBEUeA/3BZagd+z8w7v895hh55me03fVEeFqm0aqqoaHxeK\nWN+1bLeXpMMXJObzsQkYjle6BukqnAc9wHbn2Nbh+YzVpMoRRWG5fjhK1V1L3zYMao5RQeijdcv1\n+ku6vsX5489+0AObqw39eOJudg2bqkFGEbEaGDYDu21FJF4wW8xYna5YxCRBAwAAIABJREFUrU7J\n0pLrzZeIyINz5EXO8nTJ5mrD9fUGvw6S5ZPl7KVMguCnePNbEKOxirFBd2CtBeGR1lDOwfupsXn/\n2fKtLASxUiRJ8qgO/XcFk1U6hEnFYz0GPwTafuDL6x2xyjAu56t2w7MXgk/OBauTnHy+OqLaWhPG\ngEJE4T4pAU+329DVW8wQxrNNXe9HsIdF1AwD9a6i79dk+isiV+FFzCA/wkWhmSbtmtg+Z1M5to2n\nSAXLckyXShfo5BlGeqLIU5QleZ6jlAq8kLqmly/QKhRhb2pE96f4dmDbFqPleYBzbq9YhOBvOInI\nLq6D2WqShNFg3/ZcX1xT7zpkpNC6xeOYLWb7vX9e5qM12gJPoG0nabIvVJPD8bS6yfLQd2jrlqZu\n0H1wodqutwib4FmgXYxzjqa6f3/wrSwEUkrSNFhJTclG30Xu0qRVODRZFRC2Iu+5EHjYG7i+KiVK\nG4s2LTIS6CHmxeaK5xcNzWeKH3w85/xp4PFPtmlm0HTVFhFFyDhBSoXHU2/X1NugNOz7nqZp9lOY\nwUqMm4w6HFUjwviVFi8kTuQYec7AAmMt0mhiDa32DFawynNmxdg9jJf4dEWkWqDdK0CNMfRdR9M0\n9OKCYdqSuQ7RX6MbT1N7rLt/rx5WApJ+GNDmJrK81yGbMGzW13s1Z15kpCM3QPcaqSSzdMZdbRZr\nQpO0rdv9CsQYi/WealvT1A2xDKPmrumCMWqUoZIIIfyD5i3fykIwIU1C9Z3MPb5rGIzBNU0wVI1j\nsjT8YN731gDC8rNuG4w1zIvZo8hNu7anGwzP1zs+v0y4WM/4yUXNr64vOFmVzObj6Ms5jNEIBNXV\n82BM4j3rq0uq6ibk43Ckum1ztl2xv89Gp/j40PknwouMYTCsdw2m6RCdY1kIPj5PENnH9PESgDKz\nnMx3pCo0bOuqom1HXYG1OOdQYk3kxzTkIeK6Smh6hXMPf/ZNp9nWDWWecX6Sjf8+MAQP349SkuW8\nQOmBzfVm/50+ZFDa1m3QRRysQLbbis+fX+2bz6tZsTch6fsee2WZLWaUs5Rl8R1bEUzEHeA7uxqA\nm5MhOshxBOBgSvGmxqavgmdUJmqQskWZl38qURSRqBvdxGGeYttrhsExdALXDvzg4wUfP+tJxuI9\n0a1vXg+aut43BK0x4zI3nDzrbcJVm5MmMUpGgR5wcE4GefhA0zS01TWm2+F7T5pmZJTEeAQWJ+YY\nLINt8KZD+3p8L0E7kqQJRVGAEDjn2NbQNBbd9HjjUYAVJS46Fs4Za+m1oel6em1IlCGJJWkcIwCt\nDJ0OjwGInQ8uR87h9E2BmCjEd6Ftg2fhtFWYtgHOWgThtyCikHiUpAlaD1yvd8gkZjbPUMl3LNdg\nMOaI3fddLQQTDnMcDyEgZDq+R0+EQJOt79TCJypmMVuQ3MF6HEywOje9oV+3mGEgTwXL1YokSah2\nwSj0EIff46AHttfX+5XeZRWxHhRnyxlKvjxLt86xrVqq3RrXvAh6BTwbPaNrlnzMFaXY0asf0w4F\n/TYmMRsSE4hASZqyPD1hNp+xXK3GfT4833qudjti/VNSF5qVWn2KvlUIem242lQMo8lI1XRoYzhb\nzkkTxemyZFNF9PoBSSLQVA1tcze/w7vgn1AuSiIRsbnekCXx3otQMAm/FIvlguvNjqvNC4rFDI9k\nkPeHz3wrC8F3/cS/jfver3/gvncJ592e6ZYmKekY8CHl/T4FnpCbYIxjGBzbRvFiU+KEocxCM1D3\nPW3T3MnYq1rBi92MoWvxpmartwzes40snQ5LZ29aGMKJFRx/NK5vQy7CuJJwQ4Nu4BrFgKTIXjC0\nEdvas0zWqDSsSqZjGMYYNCEExgq0TsN2wFuED41pcZf73i1j0dC/Ct39OInJi5xsVrJYBT1D0Kgk\n++jyQ4NSO1iaTr+UNZFnCUWWhv2/EDgb5O23w32ttTR1Q9uEvI6uadltdmT5/Y7S38pC8D2+PiRx\n/Ch/gnB18sjIIyV0Q8pXuzmCa2wxXlm7nt16s5fnOh/hx6XHVhc8r8/oG/DtDthB1LPzESIOJ6Tv\n1/j2BZP5t9t7nwoEgmhskBnbc80zjIgpo+fYpuP6K4daCWZxRCRGQxQk2nj0rkF4h3Wg9eroXXkh\nIQrNxYe4GIeI45jZcsZqb/YSHY3AnXdUm2pfCAbj2NUtzV5rIBACokiQJTHVrn6Qu+IHT72r6dpu\nHLNqqm31YJ/n+0LwPV4LXd/jnKfMc5L4frprHDmWiebpzPDpCaRlWL00VYVvgvGINWbfJ/DAup+z\nG8LVfhgMQ3OF1wd7Zm+gv8YPoaHonWZaqgzW8/nW0ppgyLpIPatEP+jutamD0u90IUiKFK0+wavQ\nUFTuEuHWR4+30ZxBfkQye0Y5W1Hv6n33/nVQFkvyLMwF9NBS1TevUzU9dduhDxqCWRozLzLSJMY6\nR1V39Pr+sXleZDx7eoaNIsT1lrzIgqlJer8K8ftC8JaYTEpud7nfNyZF4nRlml77IRHKu8BgAtdf\nygghopdGi0JAmTiWqeUsNXw0t5zNI3wyMLgdg97h7V37ZEGtJddj0o83A76vgjXZBO/w5mYEpq2n\nHUn0vfG8qAy1iVmJGBF50siRRA4lAKexBjoT47DkqcZ76AeB8TmDmNPaBcatgs7fd0iuiXxH5Iex\n0Vhg5BPydEVRFvRdf28hUEqSxGqfNn3jVyCQUu1ly1P60YR+GKhvMRhDCGuOEKEp2faaumnDZ3PX\nNkXMEeKMLEuZz0tm8/JBLwL4vhC8NWKlyLKMXuuXml/vE0op8izbF4IptSnPHmdf/TZw3tG0LdZa\nZsXsiH0ohecnZ4bPVgNJ5ElUFIJX3TXR0BD5e7ri3oPe4tqxSHgbVgAP4Kpx/PR62G8LWuOZeEuN\nUXzhIs7SnlU04PWazuc8Z8E8Sfnk/AqBAxEj8me0/gn9RpPbhtkyXK0Fjtg+JzENwnUgH5c7GMxL\nM+ZFNorM4IYD66mbDV0fCppz9san4XXgNL67HFdFxzCyZXs9Z7Y44Se/8inpA0KlCd8XgrfEdDWO\noogkSTAHOYrvA1PWopQypDo7h3dBiCPGovAhYKwhMoLD2IpMWsrYkcWKSKUYIGIgpiPyGunDj9b6\niMZkGOPBdvvn6HoN5v7jd17QWklvPNoMfFVb1q07Gq2mYyEwXmCsxHgBeLAai6BtUySCPJ4HLxki\nhtZhuxqhHKUN9uFSaRSeyLdE7piIE1iPIQMhMD4NrR448DQllnLfzbfW0tUdSZaQpAlNXR1xAeCG\nOZnGMWWe0uthn8Y8oW93NE3NZjewazroBxKhyaQ92gINfcxmsyPOZpycrx5ni/fKR3yPBzGpD/Ms\no8hzmrZ9bU3B60BKSZ7ngWZbHxtdxO/aZeg1MVOGJ5mmMx/xiyp0xxdpxSdyIBI3P/zBKS7aE6rW\n4ts+XM7Z/+deGC+46lMuG8umatHGvJ7WxIaraO0XdJwjiPDejlfWS0T+Ed3gEN4TzzuKexYAXdPR\nt/3eXGRdNXSd3oem3sYwkoZmy9lYCBrq3XFxmbQXsyIliSWXmwpzKxW62l5w8eJzvmgztlqCj1kl\nnmdZBwdm4oMxrLc12bx79IXhW1EIoigiPjD8fCgv8ENjUh9OvIbpRIWRovsagaqPgXNub4By+3mn\nYNdJhxCPRqp6GMB74iR5rxoFITwSh9cVw7jcrbXmeW+QcQYqzN6NhaZpMb3GG3tsei8kIp5BFJaz\nWRqTZ0kYpzUa11uM7xgc3JVCbq2hbmuyJN1bsd0gmJ9657FO7hmN3lq8aRFc0grLJZ7ICaxdcFU7\nur6gyBKEnIM4nhbIKGKWB+1H04VGKvgD9WBClqfkRfhNbK439G1/b4T6ZCl/1DfQhuttRdt2WBsU\nrBKYJQMzZY6KAIAeLNW2Jso3nJ8uKGfFnsZ8H76RheD2HldGEVma7scfbdd9YwrBhMmYpCwKkmRk\nfo025O+S/XhoT/Wq+8rxRzXoYBCilIJ3TD6a8hGCAk5gPaCr8AeogVZ4RJoi8pPxQHtc+wJMO6YX\nhYZjJARCZYj8HFS4HJdlzsmixF/vqOwW5Ba4n31nrKVqapz3xHGCdWB9GCXeXQLFWBAsvl/Te4t2\nCiGWGL/gohbowXJezMnky113KSPmZT7GzhsGHwp0043mIyqilAXlvKRrOrbrG0NVEYn9CX9YXARh\nVDhd+PRg6PWA15NPpiATnrNUk0Z2/B7Evp721nLdVahkw/XlHCkj0izF3lN84BtYCCbjzkN56lQl\nvw3o+mA4mY6Fq8hz+nuYgR8CQgjSLAPv3/lnaKylqitMmlHmBZVRmPaYxppLyyrRSFNDMxYpb8Fp\nkCkiXVHkBfMyo5yVpEURUotHObEdDPYNPjutNZvdBukSHBmrRJPLuwpohEhWIGK83gSSUvscSgk8\nPn8jsAdnVE1H3fbMiowsiWk6jbsOngNZnrI6W9FUDYMeKObF3oKua7p98E8kIxaznCIPV/G20+zq\nwDaUMuJ0XuCJULbfZz/sjGI3hEIlhWcVD+TUXG12FIsZM2v58vkl9+EbUQhkFO1P/PgBd18/Wnx9\nyDHd68B7vxd/yCjaq9o+lGR4v6wcX0+Mf38XNuV3wTm3dzlSSjGYiO2t6+4iESSRRDkDY0i7EIJE\nSdJ8Sb58xmIxD558Z6eUsxnGDntDkt1mx/ry9QuBsSY0NKMIJ2IkkigJ/AbpLdgWojREp6kipDW7\nAe96vBvGE2zKexSv/A6jMdMhiRXGWtJYEUWCrh/Q2iCAE7Hk5DQnTsI2tygLVKyCqrDXR8+VH3T6\nvfNUTRsMTASUscAh0EaibVjh7YaYjU6CbZwylJHDWxOoztrgnGezuZ/e/LUXAiFEEHuMQR4P+f0b\nY4LS8BHWYF8n3GhZvteQf6DCJaXcjxSBD7aK0mZgW225S5AwpDGeAnlgs5UoyXk+4+z0nM9++Bl5\nnhEryenpR+T5jM32gl6/WfrxbbR92FcLCgwJ52lPZBp8axDpSVgNAEQJIju7oQ/HM0QkmJf5GGv3\n8JaqHxWGSaw4W86p245t3Y6/VcH1tgqsR+/Jy5xyXiKV3GcfHhaCB+EsXl/TWcVlI9FuJGC5sP05\nSTRx5FjrhF4lPHnkjvRrLwQQeN6HGQDTiS4gBDWIoD3Xw7DPG/wmY7I2f5+QUr5kYSaVQo3BFh8S\nzjn0A8XOC02aJCQqJk8T8jLn7Mk55x+ds1zOiWNF+Lb9GE767gqntZbeezaNBp8gUcwTR+5bRDwf\nvSTDb6zX6sYIxUDTdqRxPB7f/e+914a6qWira3xeBj8CbQ7YgZ5eO/o+cE2KWbHPGvAuOFdN4qpe\nDy9pDKxzzPKMzs3o7EDba3baURuFIGy/YuWRQjDL4zAS1YJMxJRFth9jPoSvvRBM6cL9Xeo6ISiK\nAiUlXdd9K4rAh0KsVJDL3sKH8Cp4HQxmYFsbZr4kjRNWZc4PPjrlJz/+hNOTxYFzkadqNgixfaeF\nAMZ8w7bBWoMXCxyOLAsnWyTCVV/JiKtNhR0lwU2n0YPhdDlj9sBqYBoftrtrXPOcxizpjbx3lPgq\n1G3PtjpWH86KjLPVnCsBjYm5brZs+h7vRaBxZx2R8BApZP6E1qVQ70iTmLPVnCJ7S0KREOK3gb8C\nvPDe//nxtv8F+C8ADfwh8N947zfjfX8X+E1Cvu7f8t7/k8e8+XvVdaPPnxEC80jDz+86pJTEcUxy\nkKrsvQ8jQji6/euAEIIsSff5iYM1dP3NPDuKBFJGxCMp6hDeu8f6wD4at9WSXtw6SUUoBkmsWJQF\njexpOr3nCFRNh/OeIkuOVmDTZKDpevRg8CKGZBXIXc2LMAKVx+PLTg9cb2rawZJvqnCCeo+zLngp\ndJqmusK09dEI1eNvKOVSMS9LkpGinCtLrIabTZkfiL3ldJby5HTByemKrMgCFVlv7/2cXrUi+IfA\nPwD+0cFt/wT42957J4T4e8DfBf6OEOLXgb8O/DohBPWfCSF+zb9lef86u+3wzZM8R1FEmqbIAxah\nOzBGVUq9JEt9nzjs6UzHkybpPkWp7Tv0gW16aGi+/+ObFIh5mjErjrv/nnGk6H1IWB6ZoYtZThQJ\n+sFgbRj51m2PsY4kVseFgHD13tVNoEdHCpGu8P01vr8K/78vBB68p+u6EJi73hArxdlqsXcTajvN\n1abCN9chDj5KENHxlTw0fiUns/zugukMvn1B7A1PFs94crpgdboIo82uw71pIfDe/wshxI9v3fZP\nD/73XwF/bfz7XwV+13s/AH8ihPi3wF8C/uVDr/FNRAiVDJOLvu+/UVMKay1t24YrwJiVoJTa25h9\nSFNTJcN4dPIibPvwQ2+6Fj0GlFpn91fgiYN/Mi8f3He/CyRxQpHdrZBsjOLLNmdFx5Ln7CKLdZ7Z\nqPA7OxgDvhLO4PXmJrQ1ShD5U4Q6GKPaHt+vOYx5NzJmEznqcdyqzat7SmUeLgC75h71oYgQ6YpY\nRcwXS+ZFjhCCtmmp1psHG5Jv+238JvC7498/4fik/zlhZfCtwzRyi6IINxp4vkkxeB/KxKkRudc4\njFfkV6Urvw8IATKSY/aCGo8tjO30cPePLktjijxFveeGppKSIsvv/EycF2gXYUyP61taWYDKKbKQ\nOhwrGSLJ2/5YRXgAQVAFJkoy9AZrghpQZGeIZHn0WO+GUTrtIYrHY3A09QYhh3Db9PxRjJBpGGeO\nsOPWQYigaoyECEt9N2CcZ3DBx0EISFRGlqYUeTEe20C1a7heb9EPSJffuBAIIf57QHvvf+eBh32z\n1tWviYkuHGlN1z2etz1hUghqrffqwHdyTFnGMI5Se6339Obp9T5UQQgsvgprc2ZlGdifUrJrarr+\n4cDTrxO5MpynPUnkgPsLkojCCmZWZC+ND6fVjZKCtfC4WuG7+wk7AEKViPQUAO8N6B3e9uE2MY7P\nkwXE5b5gQOgtXK5HDwaCccmkPqx7z0Wf4r1AyYjzRUk5EpEm89LrTcX1unr3hUAI8V8D/znwnxzc\n/Avgs4P//8F420uYGFQAcRJ/4wI+p8Tjyf8tVgo3KgtfZywYjf/+XTssH1liHaw2vL9pKsH7Mzad\ncPM59Xt/gkCVdS8Zm07Nw74fqOqOJGtAcOTZ/6GghCeXlkilCJUjonsMO/xot2YdUkYY6+gHE1YC\nsSJWEucSIpUjlIbEAAKvt4EdeWuPH3QOOrwmMV72TC6ssZKkSUyvFcOggypz9GIw4x8hM5DhJPfe\n4m2HGTxtL3BeIKOIREmyNOFk4XDW8f/+4R/y//z+HwS14gNp1K9dCIQQ/xnw3wF/2fsjcfk/Bn5H\nCPH3CVuCXwX+9V3PUc4eT938OuC93/cGilH2q5Taa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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.imshow(compressed)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#Principal Component Analysis" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "collapsed": true }, "outputs": [], "source": [ "data2 = scipy.io.loadmat('ex7data1.mat')" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(8, 6))\n", "plt.title('Example Dataset 1')\n", "plt.scatter(data2['X'][:, 0], data2['X'][:, 1])\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "collapsed": true }, "outputs": [], "source": [ "from sklearn.decomposition import PCA\n", "from sklearn.preprocessing import StandardScaler\n", "from sklearn.pipeline import Pipeline" ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "collapsed": false }, "outputs": [], "source": [ "clf3 = Pipeline([('zscore', StandardScaler()),\n", " ('pca', PCA(n_components=1))])" ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[[ 0.70710678 0.70710678]]\n" ] } ], "source": [ "X = clf3.fit_transform(data2['X'])\n", "print clf3.named_steps['pca'].components_" ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "collapsed": false }, "outputs": [], "source": [ "X_inverse = clf3.named_steps['zscore'].inverse_transform(clf3.named_steps['pca'].components_ * X)" ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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WnX5z2jBXZerl+DzVz4CV1FgnBtLLnjnJERZg+2vqbdpJspzmKDFgJTVYeyDdzDnE9icC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\nkiRVwICVJKkCBqwkSRUwYCVJqsD/B0AjmWPHMgpuAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(8, 6))\n", "plt.title('Example Dataset 1')\n", "plt.scatter(data2['X'][:, 0], data2['X'][:, 1])\n", "plt.scatter(X_inverse[:, 0], X_inverse[:, 1], c='r', marker='o')\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 2", "language": "python", "name": "python2" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 2 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython2", "version": "2.7.9" } }, "nbformat": 4, "nbformat_minor": 0 }