{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Dimensionality Reduction" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": true }, "outputs": [], "source": [ "%matplotlib inline\n", "\n", "import matplotlib.pyplot as plt\n", "import seaborn as sns\n", "import numpy as np\n", "import pandas as pd\n", "\n", "import sys\n", "sys.path.append('/Users/kaonpark/workspace/github.com/likejazz/kaon-learn')\n", "import kaonlearn\n", "from kaonlearn.plots import plot_decision_regions" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[ 5.1, 3.5, 1.4, 0.2],\n", " [ 4.9, 3. , 1.4, 0.2],\n", " [ 4.7, 3.2, 1.3, 0.2],\n", " [ 4.6, 3.1, 1.5, 0.2],\n", " [ 5. , 3.6, 1.4, 0.2]])" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from sklearn.datasets import load_iris\n", "iris = load_iris()\n", "\n", "iris.data[:5]" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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sepal_lengthsepal_widthpetal_lengthpetal_widthspecies
05.13.51.40.2sentosa
14.93.01.40.2sentosa
24.73.21.30.2sentosa
34.63.11.50.2sentosa
45.03.61.40.2sentosa
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" ], "text/plain": [ " sepal_length sepal_width petal_length petal_width species\n", "0 5.1 3.5 1.4 0.2 sentosa\n", "1 4.9 3.0 1.4 0.2 sentosa\n", "2 4.7 3.2 1.3 0.2 sentosa\n", "3 4.6 3.1 1.5 0.2 sentosa\n", "4 5.0 3.6 1.4 0.2 sentosa" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "classes = np.array([\"sentosa\", \"versicolor\", \"virginica\"])\n", "\n", "iris_data = np.array(iris.data)\n", "iris_data = pd.DataFrame(iris_data)\n", "iris_data['species'] = pd.Series(\n", " classes[iris.target],\n", " index=iris_data.index, dtype=str)\n", "\n", "iris_data = iris_data.rename(columns={\n", " 0: 'sepal_length', \n", " 1: 'sepal_width', \n", " 2: 'petal_length', \n", " 3: 'petal_width'})\n", "\n", "iris_data.head()" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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MAkORsAVmWSksv/sfTJ/tgrK6BtqWFjgNBvicTrjHxqHaXBdwuVGpaNAgViWR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qN7HzJM53jaG6RMObB0vyVXC5ZodU+XoEPW4PXvugE+e7TLz3j2/+U6TjqWnuFCGJZ7e7odcp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\nw+DBgyGXyyGTyUBEmDt3Llq04Cv1GWOMMcYYM1aNVliYmJjgyy+/rPZcly5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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sns.pairplot(iris_data, hue=\"species\")" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(array([[ 5.1, 3.5, 1.4, 0.2],\n", " [ 4.9, 3. , 1.4, 0.2],\n", " [ 4.7, 3.2, 1.3, 0.2]]),\n", " array([[-0.90068117, 1.03205722, -1.3412724 , -1.31297673],\n", " [-1.14301691, -0.1249576 , -1.3412724 , -1.31297673],\n", " [-1.38535265, 0.33784833, -1.39813811, -1.31297673]]))" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from sklearn.preprocessing import StandardScaler\n", "\n", "scaler = StandardScaler()\n", "X_scaled = scaler.fit_transform(iris.data)\n", "iris.data[:3], X_scaled[:3]" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Original shape: (150, 4)\n", "Reduced shape: (150, 2)\n" ] } ], "source": [ "from sklearn.decomposition import PCA\n", "# keep the first two principal components of the data\n", "pca = PCA(n_components=2)\n", "# fit PCA model to beast cancer data\n", "pca.fit(X_scaled)\n", "\n", "# transform data onto the first two principal components\n", "X_pca = pca.transform(X_scaled)\n", "print(\"Original shape: {}\".format(str(X_scaled.shape)))\n", "print(\"Reduced shape: {}\".format(str(X_pca.shape)))" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Pipeline(steps=[('svc', SVC(C=1, cache_size=200, class_weight=None, coef0=0.0,\n", " decision_function_shape=None, degree=3, gamma='auto', kernel='rbf',\n", " max_iter=-1, probability=False, random_state=None, shrinking=True,\n", " tol=0.001, verbose=False))])" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from sklearn.pipeline import make_pipeline\n", "from sklearn.svm import SVC\n", "p = make_pipeline(SVC(C=1))\n", "p.fit(X_pca, iris.target)" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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HeVvwJoQEFgrahAQQx152fVHgJiRw0fA4IQHCFrBtq8cbwha4bXPiNFxOSGCg\noB0E9EYzVe4KYo69a08EbEe2xWyuet0U0AnxHxS0A5jZYsGm9GxkZBWgSKtHlFKObgnNMCklHuJG\nLq1HPMOTvWtnXC1mswV0CtyE+Af6yx7ANqVnI+3EdRRq9WAACrV6pJ24jk3p7m0DIoHBmwFbCM1/\nE+JfKGgHKL3RjIysAt5jGVkF0BvNPm4RCVa2VedabQkFb0IaGQXtAFWiM6BIq+c9pinVo0TnpOwe\nIfVEvW5CGh8F7QAVqZAhSinnPaaOkCNSIfNxi0hTQIGbkMZFQTtAyaVidEtoxnusW0IzWkUeBDyx\nJ9sbaLickMZDQTuATUqJR2qP1ohWyiHigGilHKk9WmNSinupLYl/0mgKfbJqvKGo102I79GWrwAm\nFonwUGoCxg2Mo33aQSIQgrWjmvu8aWsYId7l06BtNBrx8ssv4/r16zAYDJg5cyYGD26cguvBRC4V\no7k6tLGbQRoo0AK2jWN2NdrTTYh3+fSvw/fffw+VSoWNGzdi/fr1WLp0qS8/nhC/pdEUguNEARew\nHdFwOSHe59Oe9v33349hw4YBABhjEItpKJeQYELD5f6FGY2ATgcoFOCk0sZuDvEAjjHGfP2hOp0O\nM2fOxKRJkzBq1CiX51ZW6iEWB27vgxB35OfnQyIJriUmWVlZAICoqKhGbknTw8xmlP+wG8az52Ap\nLoFIFQnpHZ0QNuJ+cNRZ8nudOnVyesznfyVyc3Px9NNPY8qUKYIBGwC02koftMoz1OowaDTljd0M\nt9W10Eig3V9dNeb9lZZWenVoXKUKQ3Gxb+8tJqY1cnKyUVp6w+s9brU6HBpNmVc/ozHV9f5Y2l7g\nxHH71xZNMfSHf4G+0ggudYg3mtgg9PNzn0+DdkFBAR5//HEsXLgQffv29eVHEwdUaMS/+Ot+bE+g\nEqC+x4xGIOsC/8GsLLCBg2ioPID59C/0mjVroNVqsXr1akybNg3Tpk1DZWXg9KQbg95oRp6mwqO5\nxKnQiP8I1BXjdUWL1HxIpwO0Wv5jpVrrcRKwfNrTXrBgARYsWODLjwxY3uoNCxUaGTcwjvZ6+0hT\nCdg2jovUqMftRQoFoFTyB+4IpfU4CVhN469FAPJWb5gKjTS+QMl45g2UAtX7OKkUSOjIfzAhgYbG\nA1zT+osRILxZdpMKjfiHQN+T3VA0XO5lKYOBHj0BZSTAcdb/9uhpfZ0EtODaYxIk3OkN1zcDmq3Q\nSNqJ67XDS/N3AAAgAElEQVSOUaER4ku0p9t7OJEISB0CNnAQ7dMOMhS0/ZCtN1zIE7g90Ru2FRTJ\nyCqAplQPdUTVfDkhvkQpUL2Lk0oBtbqxm0E8iIK2H/J2b5gKjRB/Q4vUCHEPBW0/5YveMBUaIf6E\nhssJEUZB209Rb5g0RTRcTohrTXf5aoCw9YYpYJOmhFaXE8KvXj1tg8EAmYy2BhFCvIdSoBJSm2BP\n+29/+1u1ry0WC8aPH++1BhESzII5z7i3UK+bkCpOe9r/93//h6NHjwIAkpKSqt4gkSAlJcX7LSMk\nyDTVLGieYFukRkhT5zRof/755wCAZcuWUb7wICRUlrOuZTuJaxSwCSGeIDinPW/ePBw4cADFxcXV\nXh8zZozXGkW8R6gQiavjpO4oWBNCPEkwaM+dOxc3btxAfHw8OI6zv05BOzDZCpHY2AqRAMBDqQku\nj8+aeLdvGxvgKGATQjxNMGifP38eu3fv9kVbiJcJFSIZ2a+d60IlhtqFSmgY3TUK2J5Fe7dJUycY\ntOPj45GXl4fmzZv7oj3Ei4QKkVzLL3N5XFNaCbnIOtrirXrfhDhDGdMIcSNoV1ZW4v7770fHjh2r\n7c22LVQjgUOoEEmbmHCXx9URISgvsx4TGmYnxBsoYxpp6gSD9owZM3zRDuIDQoVIIsJkrguVyMQo\nLxMeZh83MI6GyolXUYER0lQJjmP26tULYrEY2dnZ6Nq1KziOQ69evXzRNuIFk1LikdqjNaKVcog4\nIFopR2qP1vbV4ULHAffqfRPibbZeNyFNiWBP+7PPPkNaWhry8vJw//33Y+HChZgwYQKeeOIJX7SP\neJhQIRJ3CpV4u943IYQQfoI97a1bt+Lf//43QkNDoVarsXnzZnz77be+aBvxIqFCJK6O24bZ+Xii\n3jchhBB+gj1tkUhUbQGaXC6HWEx/lJs6X9T7JoQQUp1g0O7VqxfeeOMNVFRUIC0tDV9//TX69Onj\ni7YRP0b1vl2jwiC+o9WWgDE9OE7e2E0hxOsEh8dffPFFtGvXDomJidi2bRsGDhyIefPm+aJtJABQ\nve/qNJpCyoTmQ3Fx8VQFjDQpbg2Pjxw5EgMHDgRjDACQl5eHVq1aeb1xhAQSCtaNJyEhASdPnqYt\nYCToCQbtNWvW4OOPP4ZKpQLHcWCMgeM47Nu3zxftIz5C6UgbhgJ243NMvAJQxjQSnASD9ubNm5GW\nloaoqChftIc0kGPwBSAYiCkdacNpNIUUrP0I1d4mwUwwaLds2RKRkfTE6u9qBl+5zBpEKg0WRLsI\nxJSOlBBCAodg0L799tsxZcoU9O7du9rWr9mzZ3u1YaRuagbfSoPF/r+dBWJKR0oIIYFFcEwvNjYW\nAwYMqBawiX9xFXwdZWQVQG+sKq9J6UgJ8QxmNIJpNGBGY2M3hQQ5wZ727NmzUVRUhN9++w1msxld\nu3ZFs2b82bBI43AVfB3ZAnFzdSgAQBEmgVwmqtYrt6F0pCTQ+WIlObNYgPR9QNYFQKsFlEqwhI5A\nymBwHloTwoxGmAsLwcxicFKpR65JApfgb9XBgwfx4IMPYsuWLdi6dStGjx6N/fv3+6JtxE22XOBC\nbIFYbzQjT1OBLf/L4Q3YAKUjJYGtoXu33e45p+8DThy3BmzrB1q/Tt9Xt+vwtcFiAUvbC6z/GCVv\nvgus/xgsba/1QYE0WYI97XfeeQcbN27EbbfdBgC4evUqZs+ejeTkZK83jrjHVclNR3d3iMaW/+XY\nF6txHP95ITIRHhzQ3gstJcR3HMt3Au5tAatLz5kZjdbz+GRdALOYgezs+vfA0/YCGServrY9EABA\n6hD3rkGCjuBvj8lksgdsALjttttgaeCT3m+//YZp06Y16BqkOseSmhxnDbwhMhE4VJXXBIC0E9dR\nqNWDAbAw/msZjBboymlujgS+OmdME+g5V6PTVZ1Xk1YLZGS4d50amMUCtmc3cCqD/4SsLJo7b8IE\ne9qtWrXCf/7zH0yYMAGAdd9269at6/2B69atw/fff4/Q0NB6X4PUxpcLHEC1//3K+qNuXYvms0mw\ncWfvtuuecxbYwEHV55QVCkCp5A/cHAcwnqdivuvUlL7PGvCdKdVaHxjUaufnkKAl2NNevnw5Tp06\nhdTUVAwePBgZGRlYsmRJvT+wbdu2eP/99+v9fuKaYy5wx//t7mI1gOazSRPlqudsC5QOOKkUSOjI\nfz5fwHZynWpvc/XgYBOhtD4wkCZJsKcdHR2NN998E5mZmZBIJEhMTATnbDLUDcOGDcO1a9fcPl+p\nDIFYHDjZptTqsMZuAq+wcDli1KHI01Q4Pae5OhS97ojFIyOSnH7P/fX+PKU+92cylUEiEfyn1OhU\nquD+2QndX0RECNTqcKfHWbgUJWoVLJriWsdEKhUi2zQHV2PrKxs3CuUhUhjPZsJSXAyRSgVpYgIM\nmefBimsPxzu7jo25sBAlpaUu70N+RyLCm6tcnhOIXP1sgoGn7k/wL83hw4cxb948NG/eHBaLBVqt\nFu+++y66dOnikQYI0WorffI5nqBWh0GjKW/sZjh15+1qp0FbrZDj5andEBEmc/o99/f7a6j63l9p\naaXfpzFVqcJQXBy8Pzt37s/6cypzeQ6L61C12MuBJS4exWVGoIxnLvneQWC9+wM6HSwKBQxSKZjR\n4tZ1mNFo7XkrFOCkUjCzGIiIcN7jB6D/4xz0RotHt5U1NrU6HBqN659NIPPk/QkG7ddffx3r169H\nUlISAOD06dNYtGgRtmzZ4pEGEN8Z3KMN9mfc4D1WUqZHhd6MiODujBEvMFiMKDXqECFVQCbyn33E\n9WpXymDrf7OyrEPZEUogIaHqdSc4qbT6HLPAdVytUkdCR96Ab1da6veryGs+jBDPEQzaMpnMHrAB\noHPnzl5tEPGeKKUc0Uo5CnnmtmnxGakrM7Ng9/V0nCvOQolRi0ipEp1UCbi/dQrEjTjy4Kxdiayd\n4Hs5kQhIHQI2cFCDgo7gdWyr1G0ct3PVDPjO5scvXBBe1OZjvkg209SJFy9evNjVCefOncPevXvR\nrFkzFBQU4NNPPwUAxMTE4MaNG/VaSa5UKjFx4kS3zi0rc2/xlD8IDZWistJ/t2JIxCIUlFQiJ7f2\nnFn/u1qga4LrTHf+fn8NVd/7q6ysaNA6D18ICfH8z27X9X34Jf8EKi3Wf6OVFj2uledCb9ajozLO\no58lxPH+nLXLwIyIV9zu1vU4sRhcaCg4ccMWZPJdhxmNQNoeQM/zt62sDOjWDVxCAtC1K9CuHXDm\nDP/FDXqgcxdw/rQTZ1+a9eHDdm96PZB7A9Drwf219Y5PaKgsyP+21O3+brutldNjgj3t7GzrNok3\n33yz2uvvvfceOI7D559/7nZDSOOblGL9h5ORVQBNqR7qiKoKYIS4y2Ax4lxxFu+xzOIsDGk1sM5D\n5Z4YZnfVrivGGzBaTJCKGnnRoDur1NVq6xx3THPn28c4DpALZ0L0FVZeDpzP5D/ozlY34hbB394N\nGzb4oh3ER/j2c9P2LlJXpUYdSoz8gafYWIpSow7Rcvf2EXtymN1Vu3SsHGWWcqhEyjpd0+Nc7e+u\nuZ1Lr3c+PM6Y9XhY4y5EsQ+Jn890vp2N9pZ7jGDQPn78OD777DOUlFTfvkA97MBm28NN6k+jKWzs\nJjSaCKkCkVIlinkCpEoagQip+/uId19Pxy/5J+xfFxu19q8faJPqsXYpuDCEixp/pSUnlVrnefkW\nmyUkuJ/ARekn+7Vrzs/zob3lHiMYtF966SXMnj0brVo5H2MnpKmxBWx/3+rlLTKRFJ1UCdWCrU2S\nKsHt4W1PD7O7aldbaavGHxq3cXOVuusA37HRh5vdSgYD1H4YIfUm+BscGxuLMWPG+KItxAP0RrPH\nhr09ea1g0tQDts39rVMAWINrsbEUKmkEkv4a1naXJ4fZhdqVqBdePW5T1y1LdT2/2uryYg0ADlCp\nALMZrKSk+nVSBkMeIoX+9Nk6bUPzCVfz8wCgiAASE/2jrUFCMGhPmzYNc+fORZ8+faplfaJA7l/M\nFgs2pWfbK3hFKasWmInruNXC2bVmjKPtfhpNYZMP1jZiToQH2qRiSKuB9V5A5slhdqF2CeUeB+q+\nZakhW5yYxQL870DVe21Z0gyGWtcJH/UA9H8lcPGrvc+uhu8VCuCxx8E18px7sBEM2hs3bgQAnDhR\nfbiJgrZ/2ZSeXa00Z6FWb//6odQEj1wrJESKsffe7pH2kuAhE0nr3Bt2fK8nhtk91i5X+6f5EpnU\n9XxX7zUYXF6nVgIXP+By+D4xiQK2FwgG7fz8fOzatcsXbSH1pDeakZFVwHssI6sA4wbGuT287epa\nR8/ewojet9FQOfGo+1unwMwsyCzOQqmprF7D7PVhtJhQZilHuCgMUpGkzlW+6lwVzIHbc8F/XYcZ\nDGAajX/1sm3qmUWO1I9g0O7Zsyf279+PAQMGBERRhKbIVQUvTakeJTqD2yvFXV2roLiiTtciRIht\nu9eFkmxoTTpESBRIiIz3alY1C7Pgp+IjyKm4Aq1ZB6VYgbjQtriPdQTnxv5pOzf3W/MSmgt2vM6e\n3Si5fg3QFPtlhjFPZZEj7hGMwvv378c333xT7TWO43Du3DmvNYrUTaRChqh6pietudjM1bWaqUIp\n1SnxqJrbvUpNOhwtyLDPS3vDT8VHcEp31v611qzDKd1ZiELMGODu/mmgbvuta3L1XkdSKXDmDCz2\nxroefm/MnN/+OHwfjASD9qFDh3zRDtIAcqkY3RKaVZuHtnFWG9vVwjVn1+p1RywNjROP8UZWNSFG\niwk5FVd4j100Xke/Dh0gPnmy9kGeLUt12m9dAyeVgnVIAE7Wnst3S43hd8r53XQIBu2Kigp88MEH\n+OWXX2A2m9GnTx8899xzCKMFBn7FnfSkjr3qLf/Lcbpwzdm1HhmRFFClUol/q8t2L3dTnAqdV2Yp\nh9bMn7Wr1KyDbuAwRHIi9+dnvTWfq4wE2rYFzpzmP15z+L0hC+JIQBEM2kuWLEFoaChee+01AMCm\nTZuwaNEi/Otf//J644KdJ/dBu0pPWrNXrVJIoS3nT15vW7jGdy2xWER7t4nHuLPdy90Up2aLGTuv\npQmeFy4Kg1Ks4A3cEWIFwiUKcHWYn63vfC4zGoGL/KMMUCiARx61Do1fuSw4/N6QBXEk8AgG7T/+\n+APff/+9/euFCxdixIgRXm1UsPPknuqa+NKT1tzCpdE5rzbjuHDN8VpmiwWfbD+LX07nerzNpGly\nZ7vXzmtpbqU43Zq9x63zpCIJ4kLbVpvTtokLbWvPmFbX+dk6z+e6WohWVmatihUW5t7we0MWxJGA\nI/jXljEGrcMvhFarhbiB5eqaOlsQLdTqwVA1NL0pXTj5Q12V6004dDrX7fOdLVzblJ6NHYf/rNXm\n/+y6AL3RDMA6cpCnqbB/TYiQ+1unoG9MD6ilSnDgoJYq0TemB+5vnSI4522wWB8+DRYjfs/nry7l\neJ7Nfare6Kq4A0qxAhwApViBroo7cJ+qt0fvzSXbQjQ+jovYUgYDPXpCpFZbq3opI4EePasPv7t7\nLRIUBHvajz76KCZMmICUFOueyfT0dEyfPt3rDQtWntxT7Y4v0y6i0mARPvEviW3VtT7fVZt/PnMT\n5/4shCJMhvJKE/XCSZ04Zi8r0hcDAKLkKog5EYoNJW7NeZcaddDoSwTPsxFxIgxS90X/yHuq7dO2\n8cUKbHcXsdmG3yPDR0BzLY+3Te5cqzFXlRPPEgza48ePR+fOnXHs2DFYLBZ88MEH6Nixoy/aFpQ8\nuadaiN5oRuYVjdvnh8hEeCi1Q63XXbUZsA63Ow65NyQbG2l6zMyCvTf+V2s+enDLAW6lOI2QKqCW\nR9qDvrPzapKKJNXKdPp8BXbKYGt5zTOnq7KhSaUAY2AWS7XP5GQycK6GuJ0tiBuUDJa21y9WldOD\ng2cIBu3z589jzZo1eOedd5CdnY2FCxdi6dKliIuL80X7gk5D9lTXVYnOAI2LYFvTvZ1bIkxe+1fC\nVZtd8cbIAQk+rkpzupPiVCaSoktMEg5c+9XleYJ8vAKbE4nAgOrpS43Gqm1gQ4bW6Vp8C+JY2t5G\nX1VO29E8S/A79sorr2Ds2LEAgPj4eMyaNQv//Oc/vd6wYGXbU83H2Z7q+rIFWz5iEYeoCBlEHBCt\nlCO5W0sM6taKdz7aVZtdsY0cEOKM0Lx1SssBTue8HY2NH+rWec4IrsA2Ol+8WV/MaHS+pevM6Xp9\nJieVglOrq4bEfXxPvGwPQ7a1UbYHh/R9vvn8IOPWPu377rvP/nX//v1pu1cDubOn2hNcJV1J7tYK\n4wbGoUirx74T1/B7diEOZOQ6nY+elBKPkBApfjmd63aP29MjByT4CO3VLjeVu1VJTCwSN6zimE4H\nptWC4znESrXgvLECu1hTvZftyGCwHo9pXv/r+8GqctqO5nmCQTsqKgpffvklRo8eDQD44YcfEB0d\n7fWGBTNXe6o9zdUDglgkwr4TV7E/o2p1ubP5aLFIhMdH3YERvW/DF3su4OcztwQ/29MjByT4uFua\n092KXfWuOKZQoFIhR6iu9gNpZbgMoV5Zgc33iFCX4wIakmbVU/zgwSHYCAbt119/Ha+++ipWrlwJ\nmUyGnj17Yvny5b5oW9Dj21Ptac4eEMwWC77YcwH/O8W/HSwjqwAj+7VDhd5c7aFCLhXj0eGJCJNL\n7A8CKoUM4aFSlFeavDpyQIKPN0tz1oVJzCGnjRx3ZtYO2jlt5EgUc3BsiUcWValUgFQGGHl62zKZ\n9XgDNCTNqsf4w4NDkBEM2q1atcLatWt90RbiRY4PCHqjGV/sycLPZ246Pb9Qq8fiT4+jRGewD5nP\nGNcZgPMHAcqWRurDNu+cWZyFYmMpb2lOd9OY1leZpRz7usphsIQi7roeijILdOEi5LSW41BXOdpY\nyhFpDq2aj82+2OBFVZxUCqZSAfl5tQ9GqjwTVN1Is+rNVd1+8eAQZKjWZhNiy8R28kI+ikqFF4gV\n/7WIzDZkHhIixdh7b7cfrzlS4IuRAxJ8HPdq1wzM7qYxbahwURgipBH4qSeHn7sqEF5hRlmoGCYJ\nh0guHIr9vwAXL9buMTZgNTYzGoHKCv6DlZVgRmODg5qrNKs+W9VN9bY9ioJ2E1IznWldHT17CyN6\n30a9aOIVfPPRrraDebJ0p2N6U5OEQ0lE1Z/Gwb8ZID7DU/nLUX0WVel0QGmpk2OlHp3v5U2z6qMt\nblRv27Nok1wQc0wr6iqrmSORi7UvBcUVtIWL+Iy7aUw9hS+9afeQRLS54iSwOrItqqqLRkw/2hjb\nwRy3o5H6c9rTTklJAcfV/gvOGAPHcdi3j/bY+Su+giSJbdVubdW6t0tL/HGpiPfcZqpQ2sJFfKYu\npTuF5OQI5/XnS28qKSkFtAeFP6AeQbZR53tpVXfAchq0N2zY4Mt2EA+qOQxeqNXj5zM3IRYBZidp\nyKMd9mc7G0bvdUcsDY0Tn3F3O5gQW8BWKiPdOt8xvSlztfrZUX2DbGPN99Kq7oDlNGi3bt0aAGAw\nGPC///0PZWVlAACz2Yxr167hueee800LSZ24GgZ3FrBlUg6vPNIDEWHWXrSzvd2PjEiCVlsp+Pm0\ngpx4QkO3gzn2rt0N2DW57A0D1qpbDQiyjTXfS6u6A5fgQrTZs2ejoqICV65cQc+ePXHs2DF07drV\nF20jbnIMlELFPfgYTQwVejMiwqxfO9vSJRY7XwLhzRrhpOlyZzsYAFj0BpgLCiBSKsHJZHXuXbvE\n1xuOjwN63AMolR4JcHWux+0JtKo7IAkG7UuXLmHPnj1Yvnw5xo8fjxdffJF62X6CL1B2iY9yWtxD\nxAEWVvs6UU7SjdZlCxffkHywVfrSaAobuwlNjqvtYADAzGbodmyH5txZmIqKIFKpILvzLuDOO6FU\neWjldZCufg7W+wp2gl2g6OhocByH9u3b4/z584iNjYXBWb5c4lO2QFmo1YPBGij3Z+QiLIT/Wax1\nTDjv6w1NNypUI5yvCEkg0WgK7QGb8+De4KbIYDGiUK+p88pv23YwmUgKfWUZCm5kQ19ZBt2O7ag8\ndBCmwkKAMVg0GlQeOgjZzz97vO3Buvo5WO8rWAn2tBMSErB06VI89NBDmDt3LvLy8mD0VXUY4pSr\nQFlWYURyt1b4Pbuw2pz0+EFx+GZ/Nn4+cxOVBusEd4hMBAtjMFss9R7G9mWNcF+jYO0ZnkiSYjIZ\ncfbrj6C4eB3hOhOuh0sQYmDgCzWSPy95JDkJCQxNqVa3YNBevHgxMjIy0KFDBzz77LP4+eef8dZb\nb9X7Ay0WCxYvXozz589DJpNh2bJlaNeuXb2v11S5CpTFOgOG3nMbJibH11oUJuI4e8AGgEqDBekn\nb0DEcfUexvZljXBfooDtOZ5IknL264/Q8tRl+9cRZSan54p0Otq21AQ0xVrdgnclFotRXFyMZcuW\n4ciRI0hOTkbHjh3r/YFpaWkwGAz4+uuv8Y9//AMrVqyo97WaMle1sm2B0jYnbQvY3hrG9mWNcF/R\naArBcSIK2G5yNeztiSQp+soyKC66n83PolB4dNsSMxrBNBrf1aAm7mmCtboFe9orVqzAqVOn8MAD\nD8BisWDVqlU4c+YMZsyYUa8PPHHiBAYMGAAA6Nq1K86cOVOv6zR1rmplOwuU3hzG9lWNcOJf3Bn2\nFkqScrXsBm4Lb+VyC1dp0U2E65z3rGsy3d4eEoFhUqPFZE+iIhXx/ylsij25QNFUa3ULBu39+/dj\n586dkEisp06ePBljxoypd9DW6XRQODwBi8VimEwm+/VrUipDXG418jdqdZjPPmvGuM4ICZHi6Nlb\nKCiuQDNVKHrdEYtHRiTxfs/CwuWIUYciT1O7SEEzVShub6OCXOa6V+zq/mZNvBt6gxma0kqoI0IE\nr+WPbPdnMpU5/Z0MVCqV5383N2ft4h32lsulmJAwHAAQZpZALVehSF9c6/0cgE8vfoUouQpdYpIw\nNn4oxKLavzch8vY4q5AgQiBwi6OiENHtbhR3uxtqNf/CSzOzYE/uIWSWZKPEWIpIaQSSIuMxtOW9\ntebXy7bvhJ4nP7c8RIrwUQ+4bIunObufYFHX+zMXFqLEWe72Ui0ixWaI1Q0rb+pJnvr5Cf5Vio6O\nhlarRVRUFADAaDRC3YB5IoVCYU/UAljnuF39cRRK5uFP1OowaDTlPv3MsffejhG9b6s2d+3qe9Yl\nLoq3d94lLgrlZXqUl/G86S/u3p9cxAleyx853l9paWVQDY2rVGEoLvbs76bBYsSpW2d5j/126yzu\ni+5n7z0nKuN5k6RYYN2DWKQvxoFrv0KvNzqZ4xZB16E1IhzmtGvhOCgffRySli1RmpMNTsz/C3hA\n8wtO6araXWwsxa8Fp1BZacAgdV/768xoBE7/wXsN/emz0Pfu77OenFodDo0mwP5B1UF97o+ZxUBE\nhNOsbiVmMTg/+Z558ucn+FcpMjISDz74IBYtWoSlS5di7NixsFgsmD9/PubPn1/nD+zevTt++ukn\nAMCpU6caND9OrGrOXbsyKSUeqT1aI1oph4izpi9N7dGahrFJnbmTGxywBvdezbqhV7NuUEuV4P76\nPz6u5rjv+NtM5Ha5DWYnRW1EKhXE0dEu22y0mJBTcYX3WE7FFRgtDj15d/Jzk0bDSaVAgpP4EcRZ\n3QR72kOHDsXQoUPtX991110N+sAhQ4bg8OHDmDx5MhhjeO211xp0PVI3tmxnI/u1w7X8MrSJCben\nLyVNh8Fi5E1WUhdCucHDJWHYeS2t2nx3x8h4dIpMwGfZm3iv6aoQiEQiRZdpz6Pk229g+PXXWsdl\nd94FTub6d7nMUg6tmT/Ylpp1KLOU2/OO+yo/d1ParuRxTTCrm9OgnZ+fj5iYGPTu3Zv3eKtWrer1\ngSKRCEuWLKnXe0nDUbrRps0T+6UdA76r3OD7cg/Wmu8+WpABAFA1oBCIcsw46CRSGP44A0txMUQq\nFZTdu0IyZLhg28NFYVCKFbyBO0KsQLioat7fW/m57UE6LAw4+BMtcmuAppjVzWnQXrBgAdauXYup\nU6faX+M4jkpzBrimkG6UONeQ/dJ8AT8psgP6NOuO8yUXq+UGT2k5AB+e+4T3Olkl2YhXtseJwt9q\nHZOLQyDmXE/zcGIxIh4cAzZ8BCxaLURKJdTNVfY5e4PFCK1Zh1BLeK1V4VKRBHGhbavNadvEhbat\nvYrcgz25WivRZTLAMbukbbsSAKQOqfP1m7JGyd3eSJwG7bVr1wIA0tPTYTQaIZVKYTQaYTAYEB4e\n3KsYg5XQPu1xA+MCck81cU+FWY+Thad5j2UWZ2FIq4Euh8r5Av6vBSfRN6YHnrnjyWrD7YV6jdP5\nbo1Riwsl/PWtb1bmYff1dLcSrnAyGcTNqvID2B4qThecg46VQ1mhQFxoW9yn6g2RwyjCfSrr6GFO\nxRWUmnWIEFedV+szPNmTs+0ptnGWDjqItyuRhhMcg9m1axfGjRsHAMjNzcWIESOQlpbm9YYRz3Nn\nnzYJXj9cS4Pewv8zdlw4BtROliKUIAWAPTc4UDXf7UypyfkiLncTrtRke6jQMWuPW2vW4ZTuLH4q\nPlLtPBEnwiB1X0xrMR6PtJyIaS3GY5C6b7XAXlND83O73FNcEy1yIy4ILkRbvXo1Pv30UwBA27Zt\nsWXLFjz++ONITXUv9SDxH8GabpQIM5gNyNE63y4V+ddcsrM5717NugmuFHdcPOaqFrYQV4vRnDl7\n/hxOF5yr9prExBBeYcZl9ieMkffwDpXbF515m6uV6DV5cJEbCT6CQdtoNKKZwxBUdHQ0GOOp70j8\nhmN97ZrD3Ylt1fj5zM1a7wnUdKPEPSUGHbQmJ4koALSPaAuZSIqd19J457zNzOJypTjf4rGatbAj\nJOHQuuhhC13PmZycbJhDjfYeNmdhGHBSh7jrekSUWVAaXgxz4o+Q3JcKlJc3zmIlVyvRawri7Uqk\n4chn7DkAACAASURBVASDdo8ePTBnzhyMGjUKgHW4vGvXrl5vGKk7ZyvDxw+Kw7cHcpCRVYBCrR4h\nMuswoN5oQRSlG20SImXOt2fJRTI80CbV5RB4Vkk2OkbG21d/O0pSJfDOhdeshR0iluOjzM942+DO\n9fjk5Fjnxts0awVlvnVV+ICTOnS7UJX1L7LMApz8HTiTaZ1HboRV2i5XostkgNHYJLYrkYYTDNqL\nFi3C559/jq+//hoSiQQ9e/bElClTfNE2UkfOVoafv1qMq3lV2XhsVb763RWLqUM7Ug+7CZCJZU6H\nq7tHd0aIWO5y8VixsRR9Y3pAzInsPWfbSnFbj9rpZ/9VCxuAyyFztVTp1vVqUiojIRNJERfaFmeK\n/0Dcdf51G/aFX421StvZSvQB9zXeCAAJOIJBWyaTYfLkyXjggQfsw+IFBQX13qdNvKNcb8Kh07m8\nx67n86fPO3+ldi5oErxqDlfXDLpCyVIiZcpqPef6JGbha0NCZDz6xvRApExZ70QvgHVVeIi2AhFl\n+e69wcertF2uRJfzV+wjpCbBoL1mzRp8/PHHUKlUtE/bj32ZdrFanWxHFidLEBpa2YsElprD1TWD\nrkwkRVJkB/xacLLWexMjO9jPdew51ySUac3MzOgT0wODWvRDpVnfoIxsNYk4EXq3GgCmPOfe3LFt\nlbaH9ve6m9msKe0pJp4nGLQ3b96MtLQ0e8EQ4n/0RjMyr2icHucA8MXtyHApMq8UQSyKQnQkBe5g\n4xhAHbkKuvUllGnN1XFPsuej5ps7rqmOq7SdBWUq30l8STBot2zZEpGRkb5oCxHgbFV4ic4AjZP9\n1wDQIioUuUW1y3FqdEZ8ttu68EgRKsGKp/ogVBZc5SjrSqMpbOwmNBhfgOwaeweSmw1wmarUYDEi\ns+Qi77HzJRcxtPUgp71ioUxrDcnEVmc1546lUv5EJm6u0hYMyjWTplBmM+JFgn+hb7/9dkyZMgW9\ne/eGzCEZ/+zZs73aMFJFKF+4q/3XITIRXpraDdsPX0ZGVgE0pXre4XJdhQkvrv4Vbz7dt8kuTMvP\nt86FBnpJTr4A6brspZU7Vbv4euhCiVcGtejn8rhQJra6qjV3bM/xLZyKlLc37SIos4GDnCdNocxm\nxAsEg3ZsbCxiY2N90RbihFC+cLlUjG4JzXjrZN/buSUUoTI8lJqAcQPj8OdNLVZurJ3zGbAuZnv5\n41/RM7F5kysgotEUIiIiJOADtlAAdRUghRaiOds7LRTsb1bk1+thoKGqzR0LpCJ12psecJ/LoIy7\n7xYu30nz18SDBIM29agbl7v5wm37rG29aTXP/mu5VIyiEufD6ABQrDM2uQIitiFxiUQCILBTuda3\ntwy4zmLmau+0ULBvERpTr4cBT3O5AMxZb1qvdx2UwfmkfCchNk6D9tixY7F161YkJSWB46qqzttW\nj587d87ZW4kHuZMvvLk61F4ne9zAuFrz3o5z4R1vc299QlMrIBLoPWyb+vaWbYS2hfERCvbhkrB6\nPQy4xWgE02jAwut/DZd5wa9cBiIigFKebHIRSkClcr7wjTKbES9wGrS3bt0KANi2bRuSkpJ81iBS\nXV3zhculYvsWLmdz4YoQCXSVJpefS9vBAlN9e8s2jtvCivTWffxRchXvAjbH1elCwb4+DwOuMLMZ\nuh3bEXYqA9DpUKJWgcV1qN+KbVd5wUtLgTvvBM6cqX3sr6DMPFi+kxAhgsPjL7zwAnbt2uWLthAe\nruarhfKFO5sLv69rC5w8XwBdhfPA7ayAiKu85sQ/8AXIu/9aPe4OM7Ng743/1Wv7lrM94EJ7xOtK\nt2M7Kg8dhO030KIprv+KbVd5wSOUQOpQQB7iNCh7tHwnIQIEg3aHDh3wwQcf4O6770ZISIj99Xvu\nucerDSNV3JmvrsnVXPgfORqsnNkXunIDPtt1AX9crr3Hu+YDgdliwSfbz+KX07m8K9iJ/+ALkM2j\nIlFcXO7W+xu6fcvVojJP7BFnBgMMf/D0fAGwrAso6d8d4fLIWlW9nHGZFzwhAZxc7lZQpqQpxBcE\nf6uLi4tx5MgRHDlSVZOW4zh8/vnnXm0YqeJqvtoZd+fCn5vU2T6Ebnsg6BIfjUHdWkNvNNs/R2gF\nO/E/9QmQ/rZ9i49Fq4WlmD8FL9NqsfXSZjCVCnGhbXGfqrfLOtl2bgxxU1Am/kAwaG/YsAGANXiL\nxWJERER4vVGEn+N8tRB358IdHwiKtJXYd+Iafs8uxP6MG1ApZOiWEI1xA+PcWsFOAp+/bt9ydLmw\nAGHh4RDrapf5LA0XoSxUDJNZh1O6swCAQeq+gtekIW4SKAQfQTMzMzF69GgMGzYMgwcPxuTJk3Hl\nyhVftI00gG0unE+X+CiU6AzQG83Vzj+QcQP7M3Ltgb5YZ8D+jFy89nkGb/AHqnrtJDjYVp/zcdy+\n5ey4t7dv5eRkA1IpxIn8i2NzWsthklTtdsmpuAKjxQRWXg52+U+wctdTBJxUCk6tpoBN/JZgT/vl\nl1/GCy+8gOTkZADA3r178dJLL2Hjxo1ebxxpmJpz4SqFDOGhUvyeXYQDGbnV5qVNZua0N51bVA65\nTAQ9T0ESZwvWSGBq1O1bAmy1s5XKyGortlmpFtowDjmt5TjYvfpDQ5leC/znU6CgEGAM4DiwmBhg\n2iPgJIGRspcZjTAXFoKZxfQwQYSDNmPMHrABYMiQIfjwww+92ijiGTXnwvccu4r9GTfsxx3npQf3\naOO0Nw2Av+IIhFewk8Dj6+1bdaFUWvMMOA5nm7XF2F6xD4WsdgnayXu1kGgcRoIYA/LygA2fAY89\n4fX2NoRjlraS0lIgIoIKkRDhoN2zZ0+sXr0akyZNglgsxg8//ID4+HjcuGH94091tf2fXCpGpEKG\n37P5i2FkZBVgZL92UClkKHYy1G0wWZDcvTV+v+j+CnYSOGqW1HygTSoGteiHmxX5aBEag3BJmP1c\nT2/faghOKoU0OgYJFQkoLDhV7VhIpQVRxU6mbvLzwcrLwYWF8R/3B1SIhPAQDNq2utmbN2+u9vrU\nqVOprnYAEVpNXqE3o1tCNPZn5PKeExUhx/Qxd0FTXE77tIMI357rpMgOAIDMkou8+7RtvFHis76G\ntrwXlZUG5FRcQalZhwixAt30EeAY/5QPGAPy84B2t/u0ne5ymaWNCpE0aYJBOz093RftIF7mzmry\nh1ITcPG6Flfzag8zdktoBrlMXKcV7MT/8e25/rXgZLVzvFpG00PEnAiD1H3RP/IelFnKES4Kg0Rl\nALjfrQGaz7lzYLe19c+hZpdZ2qgQSVPmh7+txBtcrSa3zUuLRSK88kgPJHdrBbVCDo4DopVypPZo\nHZTD4BpNYVDUz64vV3uy+ZzTXIDBYvRiixpOKpJAJVFCKpJYh75jYpyf/Nsp6xC0P7JlaeNDhUia\ntMBYPklccje1qDuZ1cQiEaYO7YiJycGdrtQWrIOlUEh9uNqTzafYVIrtV/dgTNvhvLnI/dK0R4DP\n/wP8VSu9Fj8dahbM0uZn7SW+Q0E7gDkrCOIstWhdMqsF8zA4BWwrVxXBnMkoOoMQsdxvh8lr4iQS\nsLHjgY/X8J/QwKFmZjR6LxkLFSIhPJwG7fnz57t84+uvv+7xxpAq7vSe65taNJgDsisUrKtztSfb\nFV+lK/UYFwVBWEQEuHoMNTtux4JWCyiVHt+O5bitLVJsRgnt0yZwEbR79eoFANi/fz/KysowevRo\nSCQS/PDDD5TK1Ivc7T27KghCqUWdo4BdHd+e68TIDqg063FK8//bu/fopqp8D+DfJH0/0oQWUBDv\nnZZisYo8HIoilBZUrLyxgNhyu2ZGEXQJIyIFsQucWpElowJLx0GHywjMQAF1riAjL3XGoS0o4ijy\nasdaijxKkyZtMUmTff/oJFNo0qRpkpOTfj9rsbR5nPPbIfR39j57//a3Tt8TqHKlvtLRUPOJPkBd\n41HPa5TbBXA5liI8HCqtBgpd+wmi1P24TNpTp04FAGzduhXbtm2D8t8J44EHHsCMGTMCE1035Gnv\n2dMNQYg64mrNtdlmwb8aa5ze844Pi0WUKlKCaLvg30PKV0/9ExGNJjTGKlsrqA2OhOhEjXKAy7FI\nWm4vLY1GI/RtdtSpq6tDs5v6veQdd73ntrXC7Uu4nGFpUeos+5pr+5B3hDIct2qc32IxtDTizZOb\nsPvcflhF+9K2wUihVKIlOwulE2/EuxN7YPODifjszngIZWudcnuNco94shyLyE/cTkR7/PHHMWnS\nJAwdOhQ2mw3Hjx/H8uXLu3TSffv2Ye/evVizZk2XjhNqOtN7ti/hatsrt2NpUbqe2WrGFZOuU9XL\n2g6d667rccth7fb1mmzN0Cmagfj2v/aM1kY02ZqhUbpYZtVWB/fIuRyL/M1t0p4yZQruvvtuHDt2\nDAqFAitXrkRiYqLXJywuLsbf//53DBw40OtjhCpPt9O082QJF3VfZpsFDebW5HrW+C/oTHqX1c2c\nsQ+dj7nhbqz/biOMLe17kHKalBarjIFaFQeDtX074lVxiFV6VtKUy7FISm6TtsFgwL59+6DX6yGE\nwOnTrfdynnzySa9OOHToUIwbNw7btm3z6v2hrLO9584s4aLuo21p0uuXc3nTQ/7JakKjk4Tdejz5\nTEoLV4YhOfpmxz7bbSVH34xwZSdWwHI5FknE7bd0wYIFiI+PR2pqKhQKhbuXO5SWlmLTpk3XPFZS\nUoKcnByUl5d7fBy1OgoqlXxm/Gq1XduAYO602xEVFY6KExdRp7+KJE00ht/aG/+Tk9bh53BDr/aP\nmcxW6Iw/QRsfhcgI3yTzrrZPSi0tTQhzsx2jRiPf9tntOPOR22Vcpw2VyI0fjwiV+7kPMdYwaCM1\nqDfp2z3XIzIB/ZJ6enScroqPj4JWG+vy+Y6es5ukyUbUjxE42VCFBosRCeHxSEtIxn033tP5gjG5\nUyDMZtiMRijj46GI8O9n4En75Izt84zbpF1XV4eNGzd2+sC5ubnIzc31Kqi2DIafunyMQNFqY6DT\ndX2S3tR7/hs5Gf2u6T135nPobNEVT/mqfVIxGn/qcMmXRhMDvV6+7QNah8S/uti+J3m9elMDauou\ne9RDNtss+K/Ym5wm7QHqFDQbW9AMDydxdUHr35/zZU9abSx0Hi6JGhE9DMMi73DUKA9XhsGgv+p9\nYMoooMnS+sdPOtM+OWL7POc2aQ8cOBAnT55EWlqaT05InulKARRvi66Q/HlamlQTHo/48I4nTF0/\nzB6hjIACrUk8kHto+0O4MsyzSWdEQcZt0j5z5gymTp2KxMREREZGQgjBLTmDGIuudG+eliZN06S6\nnTx2/Q5gZlvr3tRDetyGif3uk8Xks474tQQpkZ+4Tdrr16/3+UkzMjKQkZHh8+MSi650d+5Kk2rD\n1R71kDvaAex74w9djlNKgShBSuQvbpN2nz598Kc//QllZWVoaWnBiBEjkJeXF4jYyAudXTZGocdZ\nadLbe96CIQl3ICFC7VEPuaNhdjnNGHcqgCVIiXzNbdJevXo1qqurMX36dAghsGvXLpw7dw7Lli0L\nRHzUSSy6Qs5Kk/bqkdCpSXYdDbN7cj88WLEEKcmd26T9+eef4/3333fUHh8zZgwmTpzo98DIeyy6\nQsB/SpN6+15Xw+ye3A8PWp6UIPVym06iQHCbtK1WK1paWhDx7zWIVqsVKhV7a8GMRVeos8w2yzUb\nhgDOh9nlPGMcAEuQkuy5TdoTJ07EnDlz8OCDDwIAdu/ejQkTJvg9MOq67rpvNnmu7bKuBouhXZlT\nexnTC1cv44bonogNk3fxGZYgJbnzaMOQgQMHoqysDEIIzJs3D5mZmYGIjchndLorUocQlK5f1tW2\nzOn4vtkdJnTZYglSkjG3SfvixYuoqKjAkiVLUFNTg3Xr1iE9PR1JSUmBiI+oy+wJu6NqaN1RR8u6\nTurPwCpsqKg75nhM6p29kpNTUFVVCQBQqxO8Po5CqQTG3QuROYbrtEl23P4We+aZZ9CvXz8AQO/e\nvXHnnXfi2Wef9XtgRL7AhO1aR8u6dBYDTnaQ0M02/5Xs7EhycutkSoOhod1zFlsL9C0Gj/fFVoSH\nQ6HVMmGTrLj9TdbQ0IBZs2YBACIiIjBjxgzodDq/B0bUFTrdFSZsN+zLupxRh8XB4GZnL6lcn7ht\nwoaPzn+Gdy/sxP/+WIp3L+zEJ7rDsAmbZDES+Yvb32ZRUVH49NNPHT8fPnwY0dGc3ETBT6FQMmF3\nwL6sy5k0TSo0LhJ6MKzTTk5OQXJyCgyGBnymL0dZ3VeOfbIN1kZ81XgCn+k9302QSC7c3tNeuXIl\nFi9e7BgSv/HGG7F69Wq/B0ZE/tfRsi6VQhn067RbRAuqrjovq1p19QeMTPh55/bJJgpyHu3y9eGH\nH0Kn0yE8PBxxXMdIFDKcVU+T0zrtZttPjh729YzWRjTZmrmbF4UUt0m7trYWy5cvR21tLbZs2YL5\n8+ejpKQEN910UyDiI6IAcFY9raOEHixilFFQq+KcJu54VRxilfJeV050Pbc3/IqKivDLX/4SMTEx\nSEpKwoQJE7BkyZJAxEYU8sw2C66YdJLNxvaEPaEHW8IGgDBFGG5S3eD0ueTomzk0TiHHbdLW6XS4\n5557AAAKhQIzZsxAY6N0M0eJQoFV2LD73H6sPfE2Xjvxe6w98TZ2n9sPq59mPJutZqcXB95cNAiz\nGda6Ogiz2ddhdlpycgqGRw3C4Lg0qFVxUABQq+IwOO5WjNZw+18KPW4vQ6OionDhwgUoFAoAwNGj\nRx11yInIOx1VIvNl4RJ7mdJThkroTHpHVbN7+4zBvvOfdKrambBa0fjh/8H87Tew6fVQajSISL8N\ncRMmQiHhfgT9U1KRcDkGg5RpUMaGI1YZwx42hSy33+ylS5di7ty5+OGHHzB58mQ0NDTg9ddfD0Rs\nRCHJXSWye/tk+mwo2tXFwb+MNbjw06V2jwOuLxoaP/w//PT3vzl+tul0jp/jJ0/xSbzeSk1NhV7f\njKqqSlxFE8K7UDGNKJi5Tdq33347duzYge+//x5WqxXJycnsaRN1QUeVyOyFS7zdUrOtji4OLv50\n2enjri4ahNkM87ffOD/Pt99APJADRRD8XrCXOjUYGlyWOrXYWtBka2aPnGSpw2/soUOH0L9/f/Tr\n1w/V1dXYsWMHbr31VsyfPx9hYfyyE3nDXolM7yRx+7JwSUcXBwLC6eOuLhpsBgNser3T99j0etgM\nBqiCZD+CtjXK27IJGz7Tl6Pq6g8wWBuhVsUhOfpmjNZkQMkiPCQTLr+p77zzDtavXw+TyYSTJ0/i\nmWeewdixY9HU1ISXX345kDEShRR3lch8NTTeUZlSBRROH3d10aBUq6HUaJy+R6nRQKkO/rXQn+nL\n8VXjCVZOI1lz2V3+4IMPsG3bNkRHR+OVV15BdnY2cnNzIYRATk5OIGMkCjmBKFxivzhwVtWsd1TP\na+5p27m6aFBERCAi/bZr7mk7zpN+W1AMjXfEYmtfOS2sRSD2qhXV4ntYWDmNZMLlt1ShUDhqjJeX\nl2P27NmOx4moawJVuMR+EXDaUIl6U4Pj4sA+e7wzFw1xEyYCgNPZ48Guydbs6GErbAKjvmxEcq0J\n8U02GGP1sN7yV4SNfaB1206iIOYyaatUKhgMBjQ3N+O7777DyJEjAbRWSOP9bCLfcFaJzJfsFwe5\n8eNRU3f5mouDzl40KFQqxE+eAvFADmwGA5RqNSxhCtRbDIhXBF+1tLaT0WKVMY7KaaO+bMSQ01cd\nr0tosgFffg0oIoBx90oVLpFHXGbfxx57DFOmTEFLSwseeugh9OrVC3v27MGrr76KJ554IpAxElEX\nRaginF4ceHPRoIiIABJ7YE/tQbfrvM02iyQlUO3bd9onpKnVCUiOvhnf6L9Fcq3J+ZvOnIHIHMP9\ntSmouUza48ePx5AhQ6DT6ZCWlgYAiI2NRXFxMTIyWGmIqDtzVxzGXtSlM8Vb/KHtErDRmgxEGa4i\nvsn5cjcYDUBjI6D138gHUVd1+K+nd+/ejoQNAJmZmUzYRN2cu+IwZpvFkdT1FgME/pPU99YeDGyw\n+E+vu9FoREafUVC4mukerwa4iyEFOc66IJKAHDYKccVdcZh6k95tUg+05OQUJCenwHi1Geb/+m/n\nL0pN5dA4BT3OKCMKoGAZNu4Kd8VhAASk4ps3kpNTUGVr3ZQlsrq6dUg8Xg2kpgLZYyWJiagzmLSJ\nAihQG4X4U0frv9M0qegRqQlIxTdvJfdPRZVSCXNGBhTNzYi74Ub2sEk25HFpTxQCPLkXLBfj+2bj\nrp7DoA1XQwEFtOFq3NVzGMb3zQ5YxbeuSE5OQfItaRAJCTBebZY6HCKPsadNFCCB2igkENwVhwlE\nxTdf8GSDEaJgwqRNFCCB2igkkFyt8w5UxTdfaJu4ATB5U1Dj8DhRgMhh2NjX7Ek92Ntmn10OwJG8\niYJRQHvaRqMRixcvRmNjIywWCwoLCzFkyJBAhkAkKXfDxlJVEKNWHC6nYBfQpL1x40aMGDECBQUF\nqKqqwqJFi/Dee+8FMgQiSbkaNrYKG3af2y/rpWChom0JVCZuCjYBTdoFBQWI+PcWflarFZGRkYE8\nPVHQuP5ecCgsBSMi//Nb0i4tLcWmTZuueaykpASDBg3C5cuXsXjxYixbtsztcdTqKKhU8ulpaLUx\nUofgV3JpX0tLk1e70Wk0gW+f2WrGKUOl0+dOGyqRGz8eEaqu71ctRdsCydfti4+PglYb69NjdkUw\nxeIPbJ9n/Ja0c3NzkZub2+7xU6dO4emnn8azzz6L4cOHuz2OwfCTP8LzC602Bjpd6K75lFP7jMaf\noOjksLJGEwO9PvDtu2LSQWfSO32u3tSAmrrLXV4KJlXbAsUf7Wv9DjX59Jje0mpjodMFRyz+wPZ5\nLqBd2LNnz2LBggVYs2YNMjMzA3lqoqBlXwrmjFyXgoUKziSnYBPQpL1mzRqYzWa8+OKLyM/Px7x5\n8wJ5eqKg1B2XgskBl4BRMAroRLQ333wzkKcjkg25VBDrbrgEjIINK6IRBQE5VRDrbtouAQNYMY2k\nJZ9p2UTdgFwqiHVHHC6nYMCkTUTkISZukhqHx4mIOoHD5SQl9rSpy0wWKy7prsJksUodClHAsNdN\nUmBPm7xmtdmw/WAljp2pQ73BhB7qSAxJTcKM7BSolLwepNDH2eUUaEza5LXtByux/4tax89XDCbH\nzw+Pc77umCjUcLicAondIfKKyWLFsTN1Tp87dqaOQ+XU7XC4nAKBSZu80tBoRr3B5PQ5ndGEhkZz\ngCMikl7bxM3kTf7ApE1eSYiLQA+1861VtfGRSIjr+q5URHKUnJzCXjf5DZM2eSUyXIUhqUlOnxuS\nmoTIcFWAIyIKLkzc5A9M2uS1GdkpGDesLxLVkVAqgER1JMYN64sZ2SlSh0YUFDhcTr7G2ePkNZVS\niYfHpWJaZjIaGs1IiItgD5voOm1nl3NpGHUVe9rUZZHhKvTSRjNhE3WAw+XkC0zaREQBYk/cRN5i\n0iYiIpIJJm0iIiKZYNImIiKSCSZtCllC2KQOIWDMNguumHQw2yxSh0Ie4BIw8haXfFFI0moTodNd\ncSRuhSI0r0+twoa9tQfxnf4MGiwGJISrMVCTivF9s6EK0TbLHZeAUVfwXzWFLK02EVptIoDQ7XXv\nrT2Iw5e/gN5igACgtxhw+PIX2Ft7UOrQyA0uASNvMGlTyAvVxG22WfCd/ozT507qz3CoXAbsdcqZ\nuMlTTNrULdgTdygxWhrRYDE4fU5vMcJoaQxwROQtJm7yFJM2kUzFh8chIVzt9DlNeDziw+MCHBER\n+RuTNpFMRSjDMVCT6vS5NE0qIpThAY6IiPyNs8eJZGx832wArfew9RYjNOHxSPv37HEiCj1M2kQy\nplIo8eBN43Bvn0wYLY2ID49jD1vGuASM3OHwOFEIiFCGIzFSy4QtY1wCRp5g0iYiChJtEzeTNznD\npE1EFETsa7cB9rqpPSZtIqIgxL23yRkmbSIiIplg0iYiIpKJgC75am5uxqJFi2AwGBAeHo6XX34Z\nvXv3DmQIREREshXQnvb27duRnp6OLVu2YNKkSdiwYUMgT09ERCRrAe1pFxQUwGq1AgDOnz8Ptdp5\n3WQiIiJqz29Ju7S0FJs2bbrmsZKSEgwaNAhz5szB6dOnsXHjRrfHUaujoFLJ59a7VhsjdQh+Jef2\ntbQ0ISys46+8RiPf9rkTym0DQrN98fFR0GpjAcDx31DF9nlGIYQQPjlSJ1VWVmLu3LnYv39/h6+7\ndEk+6xS12hjodM1Sh+E3cm+fTncFCoXrC0CNJgZ6vXzb15FQbhsQuu2rqqqEWp0ArTYWOl2T1OH4\nDdt3rbvvvtPlcwHtwr711lt4//33AQCxsbFQqVSBPD0REZGsBfSe9vTp07FkyRLs3LkTVqsVJSUl\ngTw9ERGRrAU0aSclJeGdd94J5CmJiIhChnxmeBEREXVzTNpEREQywaRNREQkE0zaREREMsGkTURE\nJBNM2kREQaiqqlLqECgIMWkTEQUZe8JWqxMkjoSCDZM2EVEQYcKmjgS0uAoRETnHZE2eYE+biChI\nMGGTO0zaREREMsGkTUREJBNM2kRERDLBpE1EJDGuySZPMWkTEUmIs8apM7jki4hIAkzW5A32tImI\nAowJm7zFpE1EFEBM2NQVQZ+0dborUodARORTTNjkraBP2gATNxERESCDpK1QtIbIxE1ERN1d0Cft\nqqpKKBRKKBRKJm4iIurWFEIIIXUQRERE5F7Q97SJiIioFZM2ERGRTDBpExERyQSTNhERkUwwaRMR\nEckEkzYREZFMMGn7UHNzM+bNm4dHHnkEBQUFuHjxotQh+ZTRaMTjjz+OvLw8zJw5E8eOHZM6JJ/b\nt28fFi1aJHUYPmOz2VBUVISZM2ciPz8f1dXVUofkc8ePH0d+fr7UYficxWLB4sWLMXv2bDz05ffN\nkAAACrNJREFU0EM4cOCA1CH5lNVqxdKlSzFr1iw8/PDDOH36tNQh+cWVK1eQmZmJykrf7JnOpO1D\n27dvR3p6OrZs2YJJkyZhw4YNUofkUxs3bsSIESOwefNmvPTSS3jhhRekDsmniouLsWbNGthsNqlD\n8Zn9+/fDbDZj27ZtWLRoEVatWiV1SD61YcMGLF++HCaTSepQfO4vf/kLNBoNtm7dirfffhu/+c1v\npA7Jpw4dOgQA+POf/4yFCxfi1VdflTgi37NYLCgqKkJUVJTPjsn9tH2ooKAAVqsVAHD+/Hmo1WqJ\nI/KtgoICREREAGi9So6MjJQ4It8aOnQoxo0bh23btkkdis988cUXGDVqFABg8ODB+OabbySOyLdu\nvvlmrFu3Ds8++6zUofjc+PHjcf/99wMAhBBQqVQSR+Rb48aNw5gxYwCE5u9LAHj55Zcxa9Ys/P73\nv/fZMZm0vVRaWopNmzZd81hJSQkGDRqEOXPm4PTp09i4caNE0XVdR+27fPkyFi9ejGXLlkkUXde4\naltOTg7Ky8sliso/GhsbERcX5/hZpVKhpaUFYWGh8U///vvvx7lz56QOwy9iY2MBtP4dPvXUU1i4\ncKHEEfleWFgYlixZgn379mHt2rVSh+NTu3btQo8ePTBq1CifJm0I8ouzZ8+KsWPHSh2Gz508eVLk\n5OSITz75ROpQ/KKsrEwsXLhQ6jB8pqSkROzevdvx86hRoySMxj9qampEbm6u1GH4xfnz58XUqVNF\naWmp1KH41aVLl8SYMWNEU1OT1KH4zOzZs8Ujjzwi8vLyxLBhw8T06dPFpUuXunzc0LjcDhJvvfUW\nevfujSlTpiA2NjbkhrPOnj2LBQsW4LXXXkNaWprU4ZAHhg4dikOHDiEnJwdfffUVBgwYIHVI5KG6\nujr84he/QFFREe666y6pw/G5999/HxcvXsTcuXMRHR0NhUIBpTJ0pllt2bLF8f/5+flYsWIFevbs\n2eXjMmn70PTp07FkyRLs3LkTVqsVJSUlUofkU2vWrIHZbMaLL74IAIiLi8Obb74pcVTUkXvvvRef\nf/45Zs2aBSFEyH0nQ9nvfvc7GAwGvPHGG3jjjTcAtE688+WkJindd999WLp0KR555BG0tLRg2bJl\nIdM2f+IuX0RERDIROmMRREREIY5Jm4iISCaYtImIiGSCSZuIiEgmmLSJiIhkgkmbyI1z587htttu\nw+TJk6/58+OPP+L111/v1EYOS5cuRW1trdexTJ482av3Pfroo15tYHPu3DlkZ2d7dU45CcUNRyg0\ncZ02kQd69eqFDz74oN3jCxYs6NRxysvL8cQTT3gdh7MYPBFqm9f4WkVFhdQhEHmESZuoCwoLCzF8\n+HAMHz4cv/rVr6DVahEZGYnCwkIUFRWhpaUFkZGReOmll/Dxxx/j0qVLeOyxx7BlyxZotVrHcbKz\ns5GdnY2jR48CaK2FfuuttyI/Px8JCQk4c+YMXnvtNUyZMgWnTp3CunXrcPHiRVRXV6O2tha5ubmY\nN28eTCYTVq5ciS+++ALh4eGYP38+cnJykJ2djT/+8Y+oqKjAxx9/jIaGBly5cgVZWVkoLCyE1WrF\nihUrcObMGdTV1eFnP/sZ1q9f77LdtbW1WLp0Kerr6xEVFYXi4mKkpaVh586d2LhxIxQKBdLT0/H8\n888jNjYWI0eORFZWFo4ePYqePXti9uzZePfdd3HhwgWsWrUKw4cPR35+PpKTk/H111/DZDJh2bJl\nuOeee1BXV4fnnnsO58+fR1hYGH79619j9OjRLj8Dq9WK1atXo6KiAlarFdOmTUNBQQHKy8vx1ltv\nISoqCpWVlbjlllvwyiuvYPXq1QCA3NxclJaW+vcLQ9RVXS6EShTiampqRHp6upg0aZLjz4YNG4QQ\nQixZskTs3LlT1NTUiAEDBoiamhohhBCFhYViz549Qgghdu/eLd577z0hhBBZWVmO17SVlZUl1q1b\nJ4QQ4sCBA2LChAlCCCHy8vLE2rVrHa8bMGCAEEKItWvXioceekiYTCZRV1cnBg8eLBoaGsSGDRvE\nggULhNVqFZcuXRI5OTnCZDI5zrtz504xcuRIcfnyZWEymcTMmTPFX//6V1FRUSFWrFghhBDCarWK\nvLw8sXfvXlFTUyOysrLaxfvoo4+KzZs3CyGE+OSTT8RTTz0lTp48KcaNGyfq6+uFEEKsWLFCrFq1\nyhH3vn37HG16+umnhRBC7Nq1S8yfP9/xeGFhoRBCiBMnToiRI0cKk8kknnrqKfGHP/xBCCHEDz/8\n4Ijf1WewdetWUVJSIoQQwmQyiby8PHHkyBFRVlYmBg8eLH788UdhtVrF9OnTxYEDB675XImCHXva\nRB5wNTzeVmJiIm666SYAQGZmJl544QX87W9/Q1ZWlmOLxY7MmDEDQGuvu7CwEPX19QCAQYMGOX19\nRkYGIiIikJiYCI1GA6PRiCNHjmDGjBlQKpXo2bMndu/e3e592dnZSEpKAgDk5OSgrKwMRUVF0Gg0\n2LJlC6qqqvD999+jubnZZaxHjhzBb3/7W0dbMzMzsXnzZmRlZTlGEGbOnImlS5c63jN69GgAQN++\nfTFs2DAAQJ8+fWAwGNp9BgMHDkTPnj1x6tQplJWVobi4GADQr18/3HHHHTh+/LjLz+Dw4cP47rvv\nUFZWBgBobm7GqVOn0L9/f6SmpuKGG24AAKSkpKChocFlG4mCEZM2kY+0rZs8fvx4DBkyBIcOHcKm\nTZvw6aefOhKPK223y7TZbI4NZ1zVY267n7lCoYAQot2Wm9XV1bjxxhuveaztRjb28xw4cABr167F\nnDlzMG3aNOh0OogOKhy3PY8QApWVlbDZbNe8RgiBlpYWx8/2vdivj6Gj2MLCwtrFIYRw7Fvv7DOw\nWq1YvHgx7rvvPgBAfX09YmJicPz4caevJ5ITzh4n8oOFCxfi66+/xqxZs7BgwQKcOHECQGtSsiec\n69l7xfv27UNKSgoSEhI6fd6f//zn+OijjyCEwJUrV5CXlwez2XzNaz777DMYjUaYTCbs3r0bo0eP\nxuHDh/HAAw9g+vTpSEpKwpEjR1zGCQB33nmnI95//OMfeP755zF8+HAcPHgQer0eALB9+3ZkZGR0\nKv49e/YAAP75z3/CYDBgwIABGDFiBHbs2AEAqKmpwZdffonBgwe7PMaIESOwfft2WCwWNDU1Yfbs\n2Y6euSv2fcaJgh172kR+8Pjjj+O5557DG2+8AZVKhcLCQgDAmDFj8Nhjj+Htt99Gv379rnnPl19+\niR07diA6OhqrVq3y6ryzZ89GcXExJk2aBAB4/vnnERcXd81rEhMT8eijj0Kn02Hy5MkYNWoUevXq\nhWeeeQZ79+5FREQEBg8ejHPnzrk8T1FREZYvX46tW7ciOjoaxcXF6N+/P+bOnYv8/HxYLBakp6dj\n5cqVnYq/pqYGU6dOBQC8+uqrUKlUeO6551BUVIRdu3YBAIqLi9GrVy+Xx5g1axaqq6sxdepUtLS0\nYNq0acjIyEB5ebnL94wdOxaTJ0/Grl27rumNEwUb7vJFFATss7vt98T9ZdeuXaioqPD6osCf8vPz\n8eSTT3a6d07UnXB4nIiISCbY0yYiIpIJ9rSJiIhkgkmbiIhIJpi0iYiIZIJJm4iISCaYtImIiGSC\nSZuIiEgm/h8MwImRentB4QAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Score: 0.92\n" ] } ], "source": [ "# plot fist vs second principal component, color by class\n", "plt.xlabel(\"First principal component\")\n", "plt.ylabel(\"Second principal component\")\n", "plt.title(\"SVC to classify a dataset with applying PCA\")\n", "plot_decision_regions(X_pca, iris.target, p, target_names=iris.target_names, shows=True)\n" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": true }, "outputs": [], "source": [ "from sklearn.manifold import TSNE\n", "tsne = TSNE(random_state=42)" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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NmuCPP/6ARqNBgwYN8Oqrr+LSpUtISkrCsmXLfJ+NjY3FxIkTYTabMWjQIFbvQv369dG6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\nrkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Score: 0.89\n" ] } ], "source": [ "X_tsne = tsne.fit_transform(iris.data)\n", "\n", "p = make_pipeline(SVC(C=1, gamma=0.001))\n", "p.fit(X_tsne, iris.target)\n", "\n", "plt.xlabel(\"t-SNE feature 0\")\n", "plt.ylabel(\"t-SNE feature 1\")\n", "plt.title(\"SVC to classify a dataset with applying t-SNE\")\n", "plot_decision_regions(X_tsne, iris.target, p, target_names=iris.target_names, shows=True)\n" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "image/png": 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CDk7C4OubB/HupY/wzqUNePfSR/j65kE4iUjabFXAbLegyG7yuM9oN8NstwR9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\nvX8KBlPukhlJmyiQe+HvqXFU9Uz6Gxmpn5+lkb4YfRUjg73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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Score: 0.87\n" ] } ], "source": [ "X_tsne = tsne.fit_transform(X_scaled)\n", "\n", "p = make_pipeline(SVC(C=1, gamma=0.001))\n", "p.fit(X_tsne, iris.target)\n", "\n", "plt.xlabel(\"t-SNE feature 0\")\n", "plt.ylabel(\"t-SNE feature 1\")\n", "plt.title(\"SVC to classify a dataset with applying t-SNE, StandardScaler\")\n", "plot_decision_regions(X_tsne, iris.target, p, target_names=iris.target_names, shows=True)\n" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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Categorical FeatureInteger Feature
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" ], "text/plain": [ " Categorical Feature Integer Feature\n", "0 socks 0\n", "1 fox 1\n", "2 socks 2\n", "3 box 1" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" } ], "source": [ "import pandas as pd\n", "# create a dataframe with an integer feature and a categorical string feature\n", "demo_df = pd.DataFrame({'Integer Feature': [0, 1, 2, 1],\n", " 'Categorical Feature': ['socks', 'fox', 'socks', 'box']})\n", "demo_df" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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" ], "text/plain": [ " Integer Feature Categorical Feature_box Categorical Feature_fox \\\n", "0 0 0 0 \n", "1 1 0 1 \n", "2 2 0 0 \n", "3 1 1 0 \n", "\n", " Categorical Feature_socks \n", "0 1 \n", "1 0 \n", "2 1 \n", "3 0 " ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" } ], "source": [ "pd.get_dummies(demo_df)" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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Integer Feature_0Integer Feature_1Integer Feature_2Categorical Feature_boxCategorical Feature_foxCategorical Feature_socks
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" ], "text/plain": [ " Integer Feature_0 Integer Feature_1 Integer Feature_2 \\\n", "0 1 0 0 \n", "1 0 1 0 \n", "2 0 0 1 \n", "3 0 1 0 \n", "\n", " Categorical Feature_box Categorical Feature_fox Categorical Feature_socks \n", "0 0 0 1 \n", "1 0 1 0 \n", "2 0 0 1 \n", "3 1 0 0 " ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" } ], "source": [ "demo_df['Integer Feature'] = demo_df['Integer Feature'].astype(str)\n", "pd.get_dummies(demo_df, columns=['Integer Feature', 'Categorical Feature'])" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "image/png": 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ZCTDkvbfRXzVleJrzliyNt3KVbJ9n7949TJ/+IVP/061ww4ZfmTv3U/R6Pe3b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Dt/dtotO3EcQm4OxOCQigUtjigCVmupNhUyMlBt2mTIT56wtSkSj0CRsBc5by2GJOUGAn7eAYm2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\njRoKPPssny9FRJ6Lf/YhIiIij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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "kaonlearn.plots.plot_scaling()" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[ 1.79900000e+01, 1.03800000e+01, 1.22800000e+02, ...,\n", " 2.65400000e-01, 4.60100000e-01, 1.18900000e-01],\n", " [ 2.05700000e+01, 1.77700000e+01, 1.32900000e+02, ...,\n", " 1.86000000e-01, 2.75000000e-01, 8.90200000e-02],\n", " [ 1.96900000e+01, 2.12500000e+01, 1.30000000e+02, ...,\n", " 2.43000000e-01, 3.61300000e-01, 8.75800000e-02],\n", " ..., \n", " [ 1.66000000e+01, 2.80800000e+01, 1.08300000e+02, ...,\n", " 1.41800000e-01, 2.21800000e-01, 7.82000000e-02],\n", " [ 2.06000000e+01, 2.93300000e+01, 1.40100000e+02, ...,\n", " 2.65000000e-01, 4.08700000e-01, 1.24000000e-01],\n", " [ 7.76000000e+00, 2.45400000e+01, 4.79200000e+01, ...,\n", " 0.00000000e+00, 2.87100000e-01, 7.03900000e-02]])" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from sklearn.datasets import load_breast_cancer\n", "from sklearn.decomposition import PCA\n", "from sklearn.svm import SVC\n", "from sklearn.preprocessing import StandardScaler\n", "\n", "cancer = load_breast_cancer()\n", "cancer.data\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Before we apply PCA, we scale our data so that each feature has unit variance using StandardScaler." ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[ 1.09706398, -2.07333501, 1.26993369, ..., 2.29607613,\n", " 2.75062224, 1.93701461],\n", " [ 1.82982061, -0.35363241, 1.68595471, ..., 1.0870843 ,\n", " -0.24388967, 0.28118999],\n", " [ 1.57988811, 0.45618695, 1.56650313, ..., 1.95500035,\n", " 1.152255 , 0.20139121],\n", " ..., \n", " [ 0.70228425, 2.0455738 , 0.67267578, ..., 0.41406869,\n", " -1.10454895, -0.31840916],\n", " [ 1.83834103, 2.33645719, 1.98252415, ..., 2.28998549,\n", " 1.91908301, 2.21963528],\n", " [-1.80840125, 1.22179204, -1.81438851, ..., -1.74506282,\n", " -0.04813821, -0.75120669]])" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" } ], "source": [ "scaler = StandardScaler()\n", "X_scaled = scaler.fit_transform(cancer.data)\n", "X_scaled" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "data": { "image/png": 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oNFqRpL1VcIYQUlVYgrrBYMD58+fRp08fl+djY2MxceJExMaWL03p06cPTp8+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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Score: 0.95\n" ] } ], "source": [ "pca = PCA(n_components=2)\n", "X_pca = pca.fit_transform(X_scaled)\n", "\n", "clf = SVC(C=1, gamma=0.01).fit(X_pca, cancer.target)\n", "\n", "plt.xlabel(\"First principal component\")\n", "plt.ylabel(\"Second principal component\")\n", "plt.title(\"SVC, PCA, StandardScaler\")\n", "plot_decision_regions(X_pca, cancer.target, clf=clf, res=1, target_names=cancer.target_names, shows=True)" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[ 0.21890244, 0.10372458, 0.22753729, 0.22099499, 0.14258969,\n", " 0.23928535, 0.25840048, 0.26085376, 0.13816696, 0.06436335,\n", " 0.20597878, 0.01742803, 0.21132592, 0.20286964, 0.01453145,\n", " 0.17039345, 0.15358979, 0.1834174 , 0.04249842, 0.10256832,\n", " 0.22799663, 0.10446933, 0.23663968, 0.22487053, 0.12795256,\n", " 0.21009588, 0.22876753, 0.25088597, 0.12290456, 0.13178394],\n", " [-0.23385713, -0.05970609, -0.21518136, -0.23107671, 0.18611302,\n", " 0.15189161, 0.06016536, -0.0347675 , 0.19034877, 0.36657547,\n", " -0.10555215, 0.08997968, -0.08945723, -0.15229263, 0.20443045,\n", " 0.2327159 , 0.19720728, 0.13032156, 0.183848 , 0.28009203,\n", " -0.21986638, -0.0454673 , -0.19987843, -0.21935186, 0.17230435,\n", " 0.14359317, 0.09796411, -0.00825724, 0.14188335, 0.27533947]])" ] }, "execution_count": 19, "metadata": {}, "output_type": "execute_result" } ], "source": [ "pca.components_" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(2, 30)" ] }, "execution_count": 20, "metadata": {}, "output_type": "execute_result" } ], "source": [ "pca.components_.shape" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 21, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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7dAEHu76IJT6Wkl3+45SoOTkcyezmTkSP/riFFSf6s+l2r7mGhlN28HiuHD1I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\niIiI2h0LEERERERERERERERE1O7+Hw6r5WbmUAhnAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "pca_data = pd.DataFrame(data=pca.components_, columns=cancer.feature_names)\n", "\n", "plt.figure(figsize=(30,2))\n", "sns.heatmap(pca_data, yticklabels=[\"First component\", \"Second component\"], annot=True)" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "data": { "image/png": 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nz06tMRPEUJIdXGX20NQLbBRDe6wL67s3mubr5mtvONRlNB2MgCbPDGwTd5d0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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Score: 0.94\n" ] } ], "source": [ "tsne = TSNE(n_components=2)\n", "X_tsne = tsne.fit_transform(cancer.data)\n", "\n", "clf = SVC(C=1, gamma=0.1).fit(X_tsne, cancer.target)\n", "\n", "plt.title(\"SVC, t-SNE\")\n", "plot_decision_regions(X_tsne, cancer.target, clf=clf, res=1, target_names=cancer.target_names, shows=True)\n" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "data": { "image/png": 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eFyE/yWmhVrJuVMgy1xto1Va7ynULPZf7LfNN8ABf1L/VSoxr7/QL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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Score: 0.97\n" ] } ], "source": [ "tsne = TSNE(n_components=2)\n", "X_tsne = tsne.fit_transform(scaler.fit_transform(cancer.data))\n", "\n", "clf = SVC(C=1, gamma=0.1).fit(X_tsne, cancer.target)\n", "\n", "plt.title(\"SVC, t-SNE, StandardScaler\")\n", "plot_decision_regions(X_tsne, cancer.target, clf=clf, res=1, target_names=cancer.target_names, shows=True)\n" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "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": "3.6.1" } }, "nbformat": 4, "nbformat_minor": 1 }