{ "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": true }, "outputs": [], "source": [ "import numpy as np\n", "import scipy.io\n", "from sklearn import preprocessing\n", "from sklearn import cross_validation\n", "from sklearn import manifold\n", "import matplotlib\n", "import matplotlib.pyplot as plt\n", "import numpy.linalg as lin\n", "%matplotlib inline" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": true }, "outputs": [], "source": [ "fileidxJW11 = scipy.io.loadmat(\"/Users/corbinrosset/Dropbox/XRMB/DATA/FILEIDX/fileidxJW11.mat\")\n", "fileidxJW13 = scipy.io.loadmat(\"/Users/corbinrosset/Dropbox/XRMB/DATA/FILEIDX/fileidxJW13.mat\")\n", "fileidxJW24 = scipy.io.loadmat(\"/Users/corbinrosset/Dropbox/XRMB/DATA/FILEIDX/fileidxJW24.mat\")\n", "fileidxJW30 = scipy.io.loadmat(\"/Users/corbinrosset/Dropbox/XRMB/DATA/FILEIDX/fileidxJW30.mat\")\n", "\n", "JW11 = scipy.io.loadmat(\"/Users/corbinrosset/Dropbox/XRMB/DATA/MAT/JW11[numfr1=7,numfr2=7].mat\")\n", "JW13 = scipy.io.loadmat(\"/Users/corbinrosset/Dropbox/XRMB/DATA/MAT/JW13[numfr1=7,numfr2=7].mat\")\n", "JW24 = scipy.io.loadmat(\"/Users/corbinrosset/Dropbox/XRMB/DATA/MAT/JW24[numfr1=7,numfr2=7].mat\")\n", "JW30 = scipy.io.loadmat(\"/Users/corbinrosset/Dropbox/XRMB/DATA/MAT/JW30[numfr1=7,numfr2=7].mat\")" ] }, { "cell_type": "code", "execution_count": 34, "metadata": { "collapsed": false }, "outputs": [], "source": [ "#generate manageable 2d data\n", "\n", "def generateData(numGaussians=3, numTraining=5000, numTesting=1000):\n", " #numGaussians = 5 #also the number of classes\n", " #N = 5000 #num training examples per class\n", " #T = 1000 #num testing examples per class\n", " gaussians = []\n", " test = []\n", " for i in range(numGaussians):\n", " mean = 10 * np.random.randn(2)\n", " cov = np.random.randint(10, size=(2, 2))\n", " x_train = np.random.multivariate_normal(mean, cov, N).T\n", " x_test = np.random.multivariate_normal(mean, cov, T).T\n", " plt.plot(x_train[0], x_train[1], 'x')\n", " gaussians.append(x_train) #train data\n", " test.append(x_test) #test data\n", "\n", " #format and plot the training data X, and test data X_test\n", " plt.axis('equal')\n", " plt.title('Training Data')\n", " plt.show()\n", " X_separated = np.array(gaussians) # shape #(3, 2, N) for 3 classes of N 2-D points each\n", " X = np.concatenate(X_separated, axis=1) #shape (2, 3*N)\n", " X_test = np.concatenate(test, axis = 1)\n", " X = X.T\n", " X_test = X_test.T\n", "\n", " #create data labels for training set X and test set X_test\n", " y, y_test = [], []\n", " for n in range(numGaussians):\n", " y = y + [n for i in range(N)]\n", " y_test = y_test + [n for i in range(T)]\n", "\n", " y = np.array(y)\n", " y_test = np.array(y_test)\n", " return X, X_test, y, y_test" ] }, { "cell_type": "code", "execution_count": 103, "metadata": { "collapsed": false }, "outputs": [ { "data": { 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KIzt29Mp7y5yRSWB7gJrbavDX+Wktb8W10oXxFCMd33SgzlDv9q2Ou+MozAcZtykh1hoj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\nr5CCfg8SnxJf4Wt/VREWQfWD+NeufzG3/1w+3f0pbk5u6FQ6Gns0BpW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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "### do LDA computations by hand ###\n", "#compute means of each class (empirical)\n", "\n", "X, X_test, y, y_test = generateData(5, 5000, 1000)\n", "\n", "means = [np.mean(x, 1) for x in X_separated] #empirical mean of each\n", "mean = np.array(np.mean(means, 0))\n", "\n", "#compute within class scatter (covariances)\n", "covariances = np.array([np.cov(x) for x in X_separated]) #within class covariance matrices\n", "S_W = covariances.sum(axis=0) #S_w, the Within-class Scatter matrix (sum of covariance matrices of each class)\n", "\n", "#compute between class scatter (means) - sum of outer products of deviations of the class means from universal mean\n", "S_B = numGaussians*N*sum([np.outer((x - mean), (x - mean)) for x in means]) #Between-class Scatter, shape (2, 2) \n", "\n", "#To solve the generalized eigenvalue problem inv(S_W)*S_B*x = \\lambda*x, must compute the eigendecomposition\n", "#of invS_W * S_B. The top-most eigenvector (assoc. with greatest eigenvalue) is the direction of maximimum \n", "#discriminancy\n", "invS_W = lin.inv(S_W)\n", "Z = invS_W * S_B\n", "\n", "#solve the eigenvalue problem, obtain the eigenvectors sorted by decreasing eigenvalue\n", "[vals, vecs] = lin.eig(Z)\n", "\n", "#annoying way to sort vecs by the vals...better way?\n", "ev_list = zip(vals, vecs)\n", "ev_list.sort(key=lambda tup:tup[0], reverse=True)\n", "[vals, V] = zip(*ev_list)\n", "V = np.array(V) #shape is (2, 2)\n", "\n", "#project data onto the primary and secondary axes\n", "proj_classes_first = np.array([np.dot(V[0], X_separated[i]) for i in range(numGaussians)]) #project onto top axis\n", "proj_classes_second = np.array([np.dot(V[1], X_separated[i]) for i in range(numGaussians)]) #project onto next axis\n" ] }, { "cell_type": "code", "execution_count": 104, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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exj243OostoH03z1ckpbGzp4e7CH48FrsYvUQlxsnPXgN8UfgrwaOASeBH4xx\nzXpgH3AIKFMjMMk5Bl2D7GvcR0KPNfQMHnTnw6fHpzMleQqHWw+rMl6T3U6Dw8GS5GRVxotmUmNj\nmZuQQGVPT9BjaNFozIOaFk1hIdTVQYhryhMKXwIfAzyBIvLzgLuAuSOuSQN+B9wALABuVznGSc+h\nlkOUpBZj7OhUJ4PXWSUNqOvDb+3qYl1qKjGBnng1QQnFpnFZXbjtbmJT/WtT4HJBQ4Mitv6gpsDH\nxyuHfzQ3qzLchMCXwC8DTgFngUHgJeCmEdd8CXgVqBv6uk3F+CRARV0F6zKXKicomM2hD6izDB7U\n9eEny/F8/nJpCAutHv/d3zYFjY1K/uDv21RNDx6kTTMSXwJfAAzfG1Y39NxwZgIZwFZgN/BV1aKT\nAIr/vjpxrjrZO+hT4FXsLDnZDvjwxZrUVPb09jLgCnyNY7B5UJMaeA9qevAgK2lG4kvg/elUFAdc\nCFwLXAX8BEX0JSpRWV/JxeZp6vjvoLtFVoBFuYs43XmaXntvSOOctVrpc7mYl5CgUmTRT2JMDEuS\nk9ne3R3wvVpW0IC6Fg3IDH4kvoy1eqBo2NdFnLNiPNSi2DLWocenwAUoi7LnsXHjxi/+f/369axf\nvz7QeCcdXbYu6nrqmE66uhm8zppnm2JMXJB7AbsbdnPp1EuDHmfrUHlkIJ0PJwOec1qvCPA9pGUF\nDUBsWixumxuXzUWMJfSeQcXFcPp0yMNElLKyMsrKylQZy5fA70bJxkuBBuAOlIXW4byJshAbA5iB\n5cCvvA02XOAl/rGrfhcX5l9ITGeXehm8DhdZ4ZwPH4rAb5HlkV7ZkJbGD4NQvmAqaObP9398g8GA\nKUfx4WNK1BF4lbQxYoxMfh966KGgx/Jl0TiBbwObgCPAy8BR4L6hBygllB8AB4BK4L+GrpWoQEVd\nBcsLliuWipoWjR4FPkQfXgghNziNwYqUFA4PDNDjdAZ0X6AWTaAZPMhaeC3xpw7+fWA2MAN4ZOi5\nZ4YeHn4JzAcWAo+rGeBkp7K+UhH4jo4JvcgK50olgz0s+vjAAHEGA9MsFpUji34sMTEsS05mW4A+\nfKAWTaCLrDDkw6t4spMU+HPInaw6RghBZX0lKwpXqJ/B62yRFaA0rRSn20ldz8hlHv/4WPrv4xJM\nX5pAqmiECHyRFdQ92Sk7Wzn0Qx78oSAFXsec6TqDOcZMQUqB+hm8jnrReDAYDCHZNLI9wfgEcxB3\nIBZNV5fwSfRVAAAgAElEQVTSAz7QfwI1K2kMBnk+63CkwOuYyrrKcwdsq5nBJyWB3a48dMaKghVB\n7Wh1C/FFBY3EOxclJ3PaaqV90P+NRYEssgaTvYM2m51k0zEFKfA65gv/HdTN4HXYUdJDsBn8gb4+\nsuPiKFBjp+8EJc5oZHVqKp/4mcUH2qYgmAVWUH+zk/ThzyEFXsd8UUED6mbwoNuF1ounXMy+pn04\n3YFVe8jqGf/YkJbmtw8faJuCYBZYQW520hIp8DrF7rRzsOUgS6csVZ5QM4MH3Qp8qiWVopQiDrUc\nCug+Wf/uH5emp/vdeCyYNgXBWjRS4LVBCrxO2d+8n5kZM0kyJSn9T7u6JoXAw5BNE4APP+h2U97d\nzXop8D5ZnJREo8NBkx/rL1qe5DQc2XBMO6TA65TKumH+e3c3JCZCrH9eqF/oWeAD7Cy5u7eXqRYL\nWSb/xWiyEmMwsM7P9sGOZu1r4AFi02Nx9St+vxrIhmPnkAKvUyrqK85V0Khtz8CEEnjpvwfGpQEI\nfKBtCoKxaAxGA3HZcTha5MEfaiMFXqdU1FWwsnCl8oXaC6yga4FfmLuQ6q5qeuz+nUIk698Dw9+F\n1kAsGptNKcrKzw8uJjV9eIsF0tOhqUmV4aIaKfA6pKW/hfaBdmZnzVaemGQZfKwxliX5S9hVv8vn\ntTaXi8qeHi6RAu838xMT6XW5qLHZxr0ukE1OtbVQUKBsdAoG6cNrgxR4HeLZ4GQ0DP3zTLIMHvy3\naXb29LAgMZEUNdcnJjgGg4H1ftg0g82DfnvwwS6wepC18NogBV6H7Kzbec6egUmXwYMi8BV1FT6v\nk/57cPjTlyaQDD7YBVYPslRSG6TA65CKugqlwZiHyZjBD+1o9dVZcktnpzx/NQg8fWnG+/k6mrRv\nU+BBbYGXlTQKUuB1hsvtYnfDbpYVLDv35CTM4ItSijAajFR3j91UpMfp5EBfH6tSUsIY2cRgRnw8\nQgiqrFavr7usLtwO7dsUeJAevDZIgdcZh1sPMyV5ChnxwwR9EmbwBoPhi/7wY/FJVxfLU1KIjwn9\nJKDJhsFgUGyaMXz4cLUp8KCFBy8bjkmB1x07a3eysmjl+U92dKgv8Kmp0NcHAZ7wE058LbRu7uzk\nCmnPBM145ZLB7GLVk0UjM3gFKfA6o6K+ghUFK85/sr1dfYvGaFREPsD+4OHEV2fJzZ2dXC4FPmg8\nfWm8+fCB9KFxu5WNRUVFwceitsBnZcHAgJLDTGakwOuMUQusoI1FA7q3aS6achGfN33OoGu0N9tg\nt9PkcLAkOTkCkU0MSiwWkmJiODIwMOq1QNoUNDUpuUJ8fPCxxGXG4ep24R5UZ/upPPhDQQq8jui0\ndlLfU8/8nBHH0muxyAq6F/gUcwpT06ZyoPnAqNc2d3ZyaVoaMfJ4vpDYkJ7OFi82TSBtCkJdYAUw\nxBiIzYxlsEUutKqJFHgdUVlfyUVTLiLWOKxywemE3t7Az0HzB50LPIztw0t7Rh0uT09nszeBD8CD\nD3WB1YOaZ7OCLJUEKfC6wqs909WlfP4Ndg/4eESDwHvx4YUQUuBV4rK0ND7p6mJwRGeuQDc5hbLA\n6kGLhdbJXkkjBV5HhNV/h+gQeC+lkkcHBjAbjUwPxfSVAJBlMjEzPp6KnvMbu4WzTYEHWUmjPlLg\ndYJbuKmsrxwt8Fr57xAVAj8/Zz71vfV0Ws/ZCJ7s3d8abcn4XJGRwUcjbJpALRq1Mng1NzuVlMDZ\ns6oNF5VIgdcJx9uOkxGfQU5izvkvaJ3Bt7drM7ZKxBpjuTD/QnY1nOssKe0ZdbkyPZ0PR/yhD2SR\nVS0PXu3NTqWlUuClwOsEr/YMaJvBZ2bqPoMHWFGwgp21OwHleL5Purpk/3cVWZWaypGBAToHlew5\nkDYFQsCZMzB1auhxmPJMOJrUE/iiImhuBod6Q0YdUuB1QkWdlw1OoG0Gn5UFbW3ajK0iq4tXs6Nu\nBwCf9fYyLT6ebHk8n2qYjUZWp6Z+0bYgkDYF7e3KSZJq/L1VW+BjY2HKlMntw0uB1wkV9WNk8FoK\nfGam7i0agJWFK6moq8Dldkl7RiOuTE/no6FPc4H472pl7wDmfDOORnXT7alTlRgnK1LgdUCvvZeq\njiouyLtg9ItaWzRRIPDZidnkJeVxuPWw7D+jEVekp/Ph0EJrIG0K1BR4U74Je6NdncGGkAIviTi7\nGnaxOG8xphgvv1RaZ/BRYNEArC5azZbqnezr7WVNamqkw5lwzE9MxOZ2U2W1BrTAqqbAx6bH4ra6\ncVld6gyIFHgp8DpgzAVW0DaDT0kBu1156JxVRat4q/ksy1JSSJDtgVXHYDBwxZBNE6hFM22aejGo\n7cNLgZdEnO21288/om84WmbwBkNUlEqCksHvtRmk/64hV2Zk8GFnpyLw+eG3aECxadT04Sd7qaQU\n+AjjFm521O5gTfEa7xdo0Sp4OFHiw8/Omk1/4hwWm9X7+C45n8uH2gfb6u2Yp5j9ukdtgVd7oVVm\n8JKIcrjlMNkJ2eQm5Xq/oL0dsrO1CyArKyoEvsHuwGjJprd9b6RDmbDkmkwUm8101lv9yuBdLqUE\nsbRUvRjUtmjy8qCnB/r7VRsyqpACH2HKa8rHzt6tVqWbZGKidgFEyULrps5O5sb0U1G7PdKhTGiu\nzMjA2mj3S+AbGpQPlxaLevOrXUljNE7ulgVS4CNMeW05a4vXen+xvV3JsLXsuRIlFs0HHR1cl5n9\nxYYniTZckZpGbIvLr0ZjatszoL4HD5PbpvFH4K8GjgEngR+Mc93FgBO4VYW4Jg3bqreNncG3tSkC\nryVRYNE43W42d3Zy79TFHGo5xMDg6BOIJOqwwpnAQAL0x44+xm8kUuD1jy+BjwGeQBH5ecBdwNwx\nrnsU+ACQLf78pKa7BrvLzoyMGd4vCIfAR4FFU9HTw1SLhamJqSzIWcCu+l2+b5IEhbHFhS3bSJkf\nZ/VqIvAqe/AgBX48lgGngLPAIPAScJOX6+4H/ga0qhncRMfjv4/Z8yNcAq/zDP6Djg6uHqokWl20\nmh210qbRCnuDHUu+mQ/8aEKnhcBr0a5gMpdK+hL4AmD4sbV1Q8+NvOYm4Kmhr31/tpMAQwJfNIY9\nA9DaKi0a4P0RAl9eWx7hiCYujkYHOcUJvNfejhDj/yprIfBxuXEMtg0iXOrJiMzgx8afn/KvgR8O\nXWtAWjR+M24FDUiLBmh2OKiyWlmZkgLAmuI17Kjdgcst6+G1wNHoILswAYAjA+OvdWgh8MZYI7EZ\nsThaZC28Gvhq+FwPFA37ugglix/OUhTrBiALuAbFznlr5GAbN2784v/Xr1/P+vXrAwp2ItFp7eRM\n1xkW5y0e+6K2NpjrbclDRXRu0XzY0cFl6enEDZ1Jm5uUS15SHgeaD7Akf0mEo5t42BvsJMxM4NrM\nTN5rb2f+GCW6dju0tEBhofoxeHx4c75/m618kZEBbjd0dkI0bIQuKyujrKxMlbF8CfxuYCZQCjQA\nd6AstA5neCeK54C38SLucL7AT3Z21O5gWcEy4mLGaeokPXg+6OjgmhE7edeVrOOT6k+kwGuAo9FB\n2ro0rs2w8FhdHf8yxll8NTVQUKD0XFcbU74JR4MDVPrnNRjOZfHRIPAjk9+HHnoo6LF8WTRO4NvA\nJuAI8DJwFLhv6CEJkvKacerfPYRD4NPTla1+Tqe28wSBSwg+7OzkqhECf0nJJXxS/UmEoprYOBqV\nPjQb0tPZ3dtL9xjvCzWbjI3EXGDG3iDbBquBP3Xw7wOzgRnAI0PPPTP0GMnfA6+pE9rEprzWh/8O\n4RH4mBhITVU+v+qM3b295MbFUTRiq+S6knVsq96GW7gjFNnExd5gx5xvJiEmhjWpqV8cAjISLfx3\nD+YCM/Z6KfBqIHeyRgDroJV9jftYXrB8/AvDIfCg24XWd9rbuc5LJ82ClALSLGkcbjkcgagmLkKI\n8zpJXpuRwbsREnhHvfqlklLgJWFhR+0OFuYuJNmcPPZFQiiiq1Wr4OHo9GzWt9vauHGMP3AeH16i\nHs5OJ0aLkZgEpd/+dZmZvN/ejttLuaSWAm8qMGmSwU/GWngp8BFg69mtXFp66fgX9fVBXBzEx2sf\nUE6O7gS+xmaj3uFgxVB55EjWlUqBVxuPPeNhWnw8abGx7OvrG3WttGiiAynwEcAvgQ+XPQOKwLe0\nhGcuP3m7vZ1rMzKIGWOX77qSdXxa/anPzTgS/3HUOzAXnl+aeG1mJu96qbKKRoE/e1b5YDyZkAIf\nZvocfexv2s/q4tXjX9jWpm0f+OFkZ+tP4NvauGEce6okrYT42HiOtR0LY1QTG3udfbTAZ2SMEvi+\nPhgYUPICLYjLisPV68JlU28zW1KS8mhsVG3IqEAKfJjZXrOdC/MvJCEuYfwLJ3EG3+t0sqOnZ1R5\n5EjWlSpZvEQdvAn8JWlpnLBaaRx2bu/p08qipVZdrA1Gw7laeBWZMQNOnVJ1SN0jBT7M+GXPwKQW\n+I86O1mZkkKyj100cqFVXbwJvMlo5JqMDN4alsWfPAkzZ2obixY2zcyZUuAlGrP17FYunSoFfjze\n8mHPePAIvPTh1cFeP1rgAW7OyuKNYYvw0SzwJ0+qOqTukQIfRnrsPRxuOcyKwhW+L25tDU+JJOhK\n4F1C8F5HBzf48cdtWvo0jAYjJzsm2W+tRnjL4AGuzsigvLubnqFdreESeLVr4aVFI9GUbdXbWFaw\nDEusH4dYtrRot4o1kpwc5Q+KDqjs6SHfZKLEj4M+DQYDl029jM2nN4chsonPWAKfEhvLmtTUL3rE\nh0PgtaiFlxm8RFP89t8BmpshN1fbgDxkZiqtClyRb8Hrrz3j4YppV/DR6Y80jGhy4Op34ba6ic3w\nvu4x3KaJVovGk8FPJkdPCnwY8dt/B0Xg8/K0DchDbCykpUW8q6QQgtfa2rg5gLWHy6ddTtnZMpxu\n/TVLiyY8/vtYp4vdmJnJ+x0ddPS46e6GKVO0jUcLgU9NhYQEaGpSdVhdIwU+THRaOznRfoJlBcv8\nu6GpKXwZPOjChz/U34/D7WZp8jgtHEaQm5RLcWqxPKc1RMayZzzkm83MSUjg5eNdTJ8ORo2VQwsP\nHiafTSMFPkyUnS1jVdEqTDEm3xcLoYhtOAVeB5ud/tbaym3Z2WOfUTsG0qYJHV8CD+dsGq3tGRjy\n4BvsCLe6fspkW2iVAh8mNlVt4qrpV/l3cXc3mEzh6UPjQQcZ/KutrdwexO5dKfCh44/A35SZSYWx\njRkztTexYywxxKbF4mhWN4uXGbxEdYQQfHDqA66ecbV/N4RzgdVDhAX+WH8/XU4ny8doLjYea0vW\n8nnT5/TaezWIbHLgj8DPSUwEWwyxC8Lzc7aUWLDXqL/QKgVeoirH24/jFm7mZvl5vmqkBD6CpZKv\ntrVxa3Y2xiD2vyfEJbCsYBllZ8vUD2yS4I/AA6TszeFUUXgSAXOxGVu1TdUxZ8+GEydUHVLXSIEP\nA5tObeLqGVf77y1Pwgz+b0HaMx6kTRMa/gp831s5lMe2eu0RrzaWYgu2GnUFftYsJYPXQUVwWJAC\nHwY+qPrAf/8dlAqacJVIeoigwFcNNbNanZoa9BhS4EPDVmPzKfBtbSDOJJJhimFnT4/mMWlh0SQm\nKm/1yXL4hxR4jbEOWimvKeeyaZf5f9Mky+BfbW3lluzsMXu/+8OS/CW09rdS11OnYmSTA2efE/eA\nm7icuHGvO3YM5syBO3JyeDkM7xUtLBqAuXOV72UyIAVeYz6t/pTFeYtJs6T5f9MkE/i/tbZyW4iN\n1YwGI5dNu4yPqmQWHyj2ajuWEotPC/HoUUUc78jJ4X9aW3FpbNNYitXP4EH5IyUFXqIKH5z6gKun\n+1k94yESAp+bG5EtflVWK2dtNtalBfAHcAyumXEN7558V4WoJhe2szYspb57/3gy+FkJCeSZTGzr\n6tI0LnOJNhm8FHiJamyq2uR/eaSHSAh8Sgq43dAb3lLDF5qbuSMnhzgVtkZeO/NaNp/ejN2pftY3\nkfFX4D0ZPMD/ys7mZY2rruIy43Db3Dh71W1DMWeO8r1MBqTAa0h1VzVtA20syV8S2I2REHiDQWkw\nEsYzzYQQPN/czFdU+l5zEnOYlz1PHgISIMEI/B05Obza2orT7dYsLoPBgLnYjL1W3T/YMoOXqMKm\nqk1cOf1KjIYAfsxCREbgQRH4hoawTbe7txc3sCyA3jO+uGHWDbx9/G3VxpsM2KptmEvGr6AZGFAc\nPM9B29Pi4ymxWNiqsU1jKbGobtPk5oLTqVQFTXSkwGvIuyff5ZoZ1wR2U08PxMQo9VzhJswC/9fm\nZr6ckxNw75nxuGH2Dbx94m15ylMA+JPBnzgB06crjUc93JWTwwsaL8xrsdBqMEyeShop8BrR7+hn\n65mtXDvz2sBuDGeb4JGEUeCdbjcvtbTwZZU/qczPno/BYOBQyyFVx53I+CPwngXW4XwpJ4c32tro\nc2rXqtlcbFZ9sxMo38uRI6oPqzukwGvEpqpNrChcQXp8emA3hrtN8HDCKPCbOzspsViYmZCg6rgG\ng0GxaU5Im8YfXP0uXL0uTLnjdzk9cuSc/+4hz2xmdUoKr2nodVhKLNjOqi/wCxbAoUmQA0iB14jX\nj73OzXNuDvzG+nooLFQ/IH/Izw+bwP+1pUW1xdWRSIH3H1u1DXPx2Ad9eDh4EBYuHP38PXl5/EnD\n8lrLNAvWKqvq40qBlwTNoGuQd0+8y02zbwr85rq6yAl8mDL4PqeTt9vauEOjM2fXla7jaOtRWvr1\ncZC4nrFV+1dBM5bA35CVxf6+Pqpt6mfZAPHT47FVqT/2woXK9zTRl2qkwGtA2dkyZmXOoiClIPCb\nJ4HAv9bWxqrUVHJMfhx+EgSmGBNXTL+Cd0/ITU++8Md/7+9X3hbeDvowG43ckZPDnzXK4k15JlwD\nLpw96vr8+fnKto/mZlWH1R1S4DXg9WOvc8ucW4K7OZICn5+v1MFrnNb8V2Mj9+bnazqHtGn8w3bG\nhqVkfIE/fFhpsxvr/Txu7snL449NTZpULhkMBuKnx6tu0xgM57L4iYwUeJVxCzdvHn8zOP8dIivw\nyclKiaaGnQKP9vdTZbVyfWamZnMAXDfzOrac2SIPAfGB9ZSV+Bnjnxx24AAsWjT26xclJ2MxGinv\n7lY5OgUtBB4UH14KvCQgdtXvItWcyuys2cENEMlFVtDcpvmvxkbuyctTpTXBeGQmZLK6aLXM4n1g\nPWklfub4Aj+W/+7BYDB8kcVrgWW6RTMffqIvtEqBV5mQ7BmnU+noGKk6eNBU4G0uF39pbub/aGzP\neLhzwZ28fPjlsMwVjQi3wFrlO4P3JfAAX8nN5bW2Nno0qInXKoOXFo0kIIQQisDPDVLgm5ogKwvi\nxu/LrSkaCvxrbW0sSUpiWpgOE79p9k2UnS2jy6btdvpoxV5vJzY1ltjkMcx1lOWYAwd8C3y+2cwV\n6emaLLZqadEcOTKxT3fyV+CvBo4BJ4EfeHn9y8B+4ACwHRjHsZu47G/ej91pZ2n+0uAGiKT/7kFD\ngf99QwPfCFP2DpBqSWXD1A28ceyNsM0ZTfhjz3j02p9/tn8sKOB3DQ2qL7ZqJfApKcqewol8CLc/\nAh8DPIEi8vOAu4CRp0efBi5BEfb/B/xexRijhhcPvshdC+4KvreKXgS+vl71YU8MDHBsYIAbQzzY\nI1DunH8nLx16KaxzRgv+CPy+fXDBBUrViS8uSU0lBvhY5QZk5mIzjkYHbrv6nSsvvBD27lV9WN3g\nj8AvA04BZ4FB4CVg5A6enYBnCb0SiLBKhR+3cPPioRf50sIvBT+IHgS+pARqalQf9vcNDdyTl4dJ\n48XVkVw/63p21u2ktV/b3uXRyMDJAZ8Cv2cPXHSRf+MZDAYli1c5QTDGGTEXmTVpWbB0qfI9TlT8\n+W0rAGqHfV039NxYfB14L5SgopEdtTtIMaewMNeHWTkeka6gASgtVf1E4l6nkz82NXHflCmqjusP\niaZErplxDa8dfS3sc+sd60krCTPH7wW0Z48igv7yldxcyrq6qFV5Z2v89Hisp9S3aSZ6Bj/26so5\nAjHULgW+Bqz29uLGjRu/+P/169ezfv36AIbWNy8cfIG7FtwV2iB1dbAkwMNB1Ka0FM6cUVbXVGrj\n+1xTExvS05kapsXVkdy54E5+U/kb7rvovojMr1f8sWh274bHHvN/zOTYWL6Sm8szDQ3867RpIUZ4\njoQ5CQwcHyDzOnX3Tyxdqgi82w1h/nA5JmVlZZSVlYVtvhXAB8O+/hHeF1oXoVg5M8YYR0xUrINW\nkfFohjjbeTa0gdasEaKsTJ2ggsXtFiIlRYiODlWGc7rdYurOnWJnV5cq4wWDddAq0n6RJuq66yIW\ng95wO93iE8snwtnvHPOapiYh0tKUt0QgHO3rE7nl5cLmcoUY5Tnqn64XR79+VLXxhlNcLMSJE5oM\nrQoElmSfhz9/s3YDM4FSwATcAbw14pp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IS45sz+j02iUYO1ZQwNiSEsImTdKsT7X4LJImLQ0uXoRydYm1sguzmZ8y36f+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\n3j5utVLQ2Miafly5KediDkdLj2qSNVINOr2OlJ+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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "### visually inspect discriminating capability of axes found by LDA - can be skipped###\n", "#plot distributions projected onto the first axis found by LDA\n", "def gaussian(x, mu, sig):\n", " return np.exp(-np.power(x - mu, 2.) / (2 * np.power(sig, 2.)))\n", "\n", "y_1min = min([min(x) for x in proj_classes_first])\n", "y_1max = max([max(x) for x in proj_classes_first])\n", "for projection in proj_classes_first:\n", " mu = np.mean(projection)\n", " sigma = np.std(projection)\n", " plt.plot(gaussian(np.linspace(y_1min, y_1max, 200), mu, sigma))\n", "plt.show()\n", "\n", "#plot projections onto second axis\n", "y_2min = min([min(x) for x in proj_classes_second])\n", "y_2max = max([max(x) for x in proj_classes_second])\n", "for projection in proj_classes_second:\n", " mu = np.mean(projection)\n", " sigma = np.std(projection)\n", " plt.plot(gaussian(np.linspace(y_2min, y_2max, 200), mu, sigma))\n", "plt.show()\n" ] }, { "cell_type": "code", "execution_count": 109, "metadata": { "collapsed": false, "scrolled": false }, "outputs": [ { "data": { "image/png": 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m7FjS9HquLC1l9Vj5pHNHeTm5SUlRxd4biSfYKF9lzSxeDN/7niToCRPgo4/A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\n7pGhf1S4S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fSKgOxVyHM/FN5siVQkCyMfhbMvwsU3odOrUPwTtJ0LemfSz24DfTZEPgj6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\npQA9a/+fcQ/H+MXZt2/f/R7CHfNzjTkhM8HGMzcvl2f24X8ufs/n+NfkQ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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "PCA: explained variance ratio: [ 0.70504721 0.29495279]\n", "accuracy of built-in LDA on Test Data: \n", "0.827\n", "Accuracy of K-nearest neighbor on raw test data\n" ] }, { "data": { "image/png": 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REOWnrIUjAml3uRClZ4OIkwULFtCmTRuKFC/Nq6O0LDvgpE40bD9vpGbtevfI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h4ELGgQEMC8xStvnrvn4EHGjx9PdnY23QMCyEpMvPleCFBsu1UIucwaNW7K7P1XqB/lZsEhYZx4\nNFiSIlIHb3Vzs+yQJGQLUxdh9fhhi25HoSUUY9pCrhXBxjS4p740575WLE57yE/Ss7VbPRizFiZt\nE2598ih49mdYekQqXQuc8M5K+RkRCE0/EQmFnWeFRtm1PoRazWQWBtHis+tAACY1BLs7i4n93Yxa\nZsTlLe05cA/wI+Kwn0SWxYXY3TqbTtVh57lsXJ5CnJ76XLlxgviPITXThEfrjUTdaxAsfjPS8PEq\nsnjEIuIQp5Hldr/vP2RBEr1HEKk5I+heqrYREK1W91p0+bQdm17fhuZqQ3j9kxj95KtdsVYYitGI\n7jlK4aUqzOm0CHDhtkWiU0z/Rd1ZNngd3hJpTll0BX7uuZDCS4WE1gz9bV6er3pV14S1U2qWYAtu\nt/sXhz768KM8MviRcl2a/7CV76FuozmdTuLq1cOTns4or5dX3G4yduxgzOjRt3Ue7Tp25KC//02m\n91GrlXadO2M0GOiLpP46IKTBsL8Seduwbg2b1yymqn0Hh5PXkKLrpCOLwgY/P+7r0eM3r/nlt1PZ\ne6Muq0/6M++AQtV3Vaq8LXTF17oIlu7yCstm3QswZ7CTgKtJuJ0OnC5YPFQi88BXpP2fpsF3g2Db\nyxLpf5UkbQPtPjbOK0vg8GW4MBYufQAj71Y4eU2hXU049z78MFiYPCH+MG0wLD8KNxwqkICCFU1/\niRLvU0BfPtloIiJQQVSAdMQxZyCYeiUETrkbiMTlHUyhcyROz11gOIXD7UfKlSA8WgJCRK1KWefd\n/QgNcx7QBcHqrUAi8CECC/WhDLLphmiLWtA8wez8cA9etxfbNRv7vzmA5gLYzNX9mZzffB6v28vu\nz/ZgMOlAPrpWgKuoLq6iO9C1RijAns8Oo3nigbeA4ZjUIM5vPE+NrjVo/mICtmwbq4et5di84xye\nnsLucXt5buhzGI1G+g3ox6rBa7iUfIl9Xx/g8vYrdO1aWkpXZoqilDv5P7H9R7Sc/5O2dOlSPURV\n9UG3aM8/BHrH1q1v6zzsdrvep0cP3Ww06iaDQX96yBDd6/XqI19+WbeCfg/oTUG3qKp+8uTJm+cV\nFhbqgVazfmGsaK0XfY4eWcGix0ZH65GhofpjDz2kFxcX/83rejwePT09Xb9w4YJ+6NAhvWlcPb1n\nHPo3/dHjq6JbjOjur9FXDkOPDBLN+WfbKXqgBX3WI6LZfvJd9EAzetd6ZVr2nm/Q/UzoBZ+iN49B\ntxhEp358r7Jj0t9DDwiw6u3qWW++Nucx9GA/dItR0f1NVh2G6lBLhwgdHtChjg7VdVD159uho5h1\nFJP8VP187wfqIuhQ3XfuGB0e1sGig6JDsA6tdWjqe2+MDk/pYNZRFR2MuvTRMuoQ4jve5Bv3Ph36\n61DxlnOb6hCpwyjdZA3RVaOqKwZVV00mHfx01WyUsTHoYNaN/qE6jNBhgA5BOrylQ4xuMoXpYRER\nvuu+dnN8VW2nDx06VI+pG6MHRgTqJqtJr3hHRd0a5q83bdVU37Zt283/p8Ph0Ee+NlJv3LKx3r3P\nvfqJEyd+1/u23MT4N/Toy6Gb22h2ux2LqpKuaTdVSU4BTevUua3z8Pf3Z/nq1RQXF2MwGPDz8+Oz\nTz9l1dKlBIeFcS44mBq1anH4m2+oW7fuzfPy8/MJ9jdSPUyUvQIt0DjGj5c/mk6PvxHJ32qFhYVk\nZmZSqVIlmjZtys49B+nR/V4+2rCD4hII8YNPNkLiMZjxMNx3J4BOXjE8t8DAm4kGrjtcNKos8Iym\nCcUyu1Ce9/pO+PWaLpW4i1Mk6epngqVHVZTgKpzMycLjld3D5O0qxSXV0PQriGzaYlTFTq0IN6ev\nJSKSAgHAGiYnO+DJzVCpERitMKUJ5GQgcgdmRFAiEyk324JALTEI1LId+W6uRQQkthP3WF0CowLY\n+9VFNNcAhH+/BdH7fBqpa/5JfhoU8O4AtRC04whW/yVuuz9SjNUE3VsIrERzX0J2AbHAHjyOI75r\nhgHrUdXFBAba+eKLCQwZMoQaNepx8eJFpKbZi6JcYO7cw1SqFM2iOYtISEggPT2d6tWrEx0d/Yv/\np5+fH19M+P3UXsvt/5+VO/rbaJ06dcLl50d6cTHfIwVFLn9/Nnz++X9kPoGBgQB8O3Ei37z/Pvfa\n7XiA1U4nwz77jPr16//i+CpVquAfGML3Ox083UZn8yk4nOGhadOmvzH6L23Pnj3c37MbsRUVzue4\neOLJpwkJiyZ51yE8nsoYlEy8ms7o1SI6tvEkzDsgOHxkELi9kWQWticqaCk7X3HT+RvoMxVaxsLU\nZGm8PbqH0CjHbxDMfuMpqPquQmiIlavFFuzeIkocdiq8Bl5NASXA5+RbADGYDAvZ86rGnL0qp6/d\nBTdb0viD9hOE1QaLLyPs1RCAy6d+RlekHcseBGap7nu9GeLA+yG6Nx7MgWZOLc1C85jQXGbKWrRc\nQIqmgnyPNkAS7d5KID89m5PLTuJ1Kkg2pLQxpL/veSiquRhVrYrH2dA33t1Ip2Eb4EFR7MTHV6BV\nq240adIEVVX5+ec53H13V0pK1qJpJXi9Rrzex7h4sZi+fQeyf38yrVq1+of/33L777ZyjP42WuXK\nldm6Ywf14uOhYkWa3n03py9c+KeanfyeNm/WLDrY7VRBEOK6djs//vDDr44zGo2sXLuZyUdqYHpZ\nYejScBYuXfmrSO+37OGBffn+gUL2jCjg5JsOFv00lXffHYPHMwzogdWs0raWKFP2awKz9kgStVk1\nKYZCyQR1C4UlbmwlsGG4MG0+Wg9XbsC+14VV8/a9cE9dKaQyq/BYCyiw61SwuAgjD7fXjM1VA6dn\nME73KMQRnwEyqeCvE18NjKqO8gsRZxugwZInoDgbLu6AG+eQYqZSy0Wi/8oI8bTE93oekgn5GVlQ\n6uAqtuIqHobH+bDvvF0IPu/kl914rwEaOz/ex6nl5/GWqMhC0J+yAq7lSGJ4EZo7H81zgzIZ5GLf\nMYnAZHQdDhxQ+fbbY7Rv34WtW7cSHR2Noqho2r0IrbMeInBdC6ezFrNnz/6H/9ty+++38srYP5g5\nnU7mzp1Lbm4uHTt2pOU/0NYB6NqxI/7btpFlEomCyCC4bDOzfdcB4uLifvMct9uNyVTGuCgoKODr\nbyZy+Wo299zdngcffPDmex6PB4vFjPsrnet2GDhT6Ia6Djpd8GrQO24zZ3J0Ut4AsxHSskQS+Man\n8E0SrDshydPakdI2sF9jkSm+fF207jPHi1olQPfJ0LMhjF0nYmRGg1yr7liFMzmVEVjjCNAdccgb\niA52U+LxMn+IyB7Hf2zE7m6PON7jyBJoFw0F1QJuOxIn1cXXx8t3TB6yUfZDlIbOIRF7F9+xsxAY\npVR0PgtpGOmPVNx6gEbI4pKBLBw60k3AizB+QMTSpiHFVa2Q3cBF3xiaby5uBFZSEZ59c8p0R48R\nH3+VESOG8cIL32Czlc7HiySC3wTm07BhEKmpKb95D5Tbf8bK1Sv/5OZ0OmnXsiWfjxjBynfeoXun\nTsz96ad/eN57H37IJrOZolA4Nw6OvQuf93Ex9LGBf/OcUic/Z/Ys4uNqUalKdcYuOcG08zV44qXR\nvD9u/M1jjUYjdWpUZf5B0XepGwmOL4X9EhG4GcgiLUu6KZl9YGK9SlKwdCFPoJzKIUK9nP0IWC0q\nM/aZ6N4APu4j1bB3fyOa8c8vEGGywQlSPTtwBmxIk6rUKwUG4AnEWQ5AemrtBlTe6+Fl6dPw6Bzo\nMhHcmgc4imRRngdeAR4Erw53jwGDGaFKnkB2BCaEF18TcbBNEAmDEASrX41AOLm+MfMRB34KWRju\nQiCYOr4x7wCGAw8h2P9JBLcvtdJo/UmkzUxf3+9tgJeATr55xCGwUT3fPEuDq0AOHUph48ZNKErh\nLa8XIT5kMVCA2Xz7aL/l9vtZeUT/B7Iff/yRD597jkE2GwpCAlwaEkLOjRv/8NwXX3wRS9okPusr\n/5O8Yqj5gT83iux/85wlixfz6vDHebiJnS9Ot8Lx+C6phCq4hHlyPZz24pvFYCkpKfTq3oUb1/M4\n8Q5U88HSo1fBRxskqWpUYeNwqWL9eJPKx9uDqWB243bYGNsTXloEBj9/nHFD0cLvxH/3OJ5ocJVV\nx3Ty7YLnW82SqHW6IToY8uwKFiOUeA04XY2QSDqfQPMC3Fo2JoOZ4hIvy572cn9jOW/UEvg+OQqv\nriHR96Bb/uoPQTFCSCUovgYeN5K0jUCc+lzK+nO5kEXChPTu+hqJraogUE3p168iAvdURlqtLANe\n8L2vAZ8i1bRGBGoKRaSQ3cjupJbvMR147ZZxv0d2EjV943yMJGpDETgnELhA7dp1uHxZweGIQCik\noUAs/v4XGDv2JV59ddTfvnHK7bZbeUT/J7fr168T6vHcvAPCgUKbjX9mQe3atStrT1u57vPrPx1Q\niGtY9++es+CnHxjbzU6NcFCCKpW1hLOG4/W48Xq9N49t2LAhb7/3ARUqhLD3grymaaJc2bEOuCMT\ncHkUunxrwDxS4eOUBtiGHOZKoYrLI4244yqDPaY7WveJ0HwYju7TmbVH5+sH4dhbcG8D4cVXDDSg\nm4O4avfD6TFSYKmBs8MHSFXpWazmGbx9bzaXxsHX/V34m7w88RN8vxM+2wwz9oJX74FEueco489f\nRIqVWoOmwrOHwGxBWDXZCB8+BmmfUhXB7EvhrWDf80cQp14VgUke9x3/IoLJn0QWheVItL8IcdI1\nka/rYd/Di+wCmiDMnkQEhipdmD1IdF7KX3f7/oYVSEVvQ4QZVJn777+PCROe5fXXWzJkyEDCw72E\nhp7m5Zcf55VXRv7de6Dc/jesnHXzB7JOnTox2mCgHlJQn2Q2c3e7dn9XYkHXdXRdp2fPnuxIepKa\n46YSHmxCNwWzZsPCv3s9f2sAucWiAa8uXw+HfoDKzfHbPZ677+uD0Si3l9frpXf3zpRkHqRzrJ3H\n58DPB0WDxs8IjarCloyzGI0qDv8q8OJpbCYLOK6jeEvQjcKuOZgBRISWTSDrCL3iRM8eYOYjEDQK\nTFXuRO/6Hlw5AHu+gp7fQkg12PMNaFsJUIp5wwdVP9kavtgCxzNb8MrSIjRNwekp7Y9VDdG42Qls\nQ5zrA0AtcJ4EbwlExMEVDxJh2xH9GgWpeP0Gcdw1ENql1zdOdWTRsSDRPciiUBFhyQxBFP7XIAla\nA7KQtEfgnxKk2XgH37nRiFaOEZiKwDUXkIVhh+/YQ0jvrxOIUqYf4vhLiI2N5fnnn/+7/+ty+9+2\n8oj+D2RxcXH8+PPPbI6KYrK/P5GdOjFv0aLfPFbTNN54bSSBVj8CrX68+NzTjP/kC1JPnmPZ+j2k\nnjxHZmYmAx99koceG8revXt/NcbLr73N+C0B/LAbHot3Ytg4ioiV/RjYLJSFc2fdPG7Lli1knTvM\nxmftzHoUnm8PW09LN6eYUJi6EzRrFE4lDOy5ML837PgEZXorTAbY8hIkvSwPjs2DQzMgYxccms7F\nfJXSDcul66JN7xi0Eer3hS4fQmwHuJAEwdXA44AHZlLkNpHn65DicEFWkQJEYXcNxOl5EHGsAYhT\nbw0MRZKjTyEQiQs0OzjyICcNSYY+gjhyh++vtiIJ1hVIU8RUxLFeRpyt6vu9tAF2DoLFRyGOu6pv\nHo/6xjYh4mpmJFK/1RTfWAZksfEiDJ8XgAJgMyEhJZjNl31zmoUsJMtQ1QKGDBnym/dIuf1xrDyi\n/4NZr1696JWZ+Q+PmzLpW7Ysm8q50S5MBug/ez6fjK/K26PHULlyZTZv3kyv/oNxtHkXNA+J3Xqy\naW0irVu3vjlG06ZN2bpjDzOnf49Z09j31VDi4+N/cR2v18vhw4epGqJh8IUVn/SBL7YamJNihUqN\n0NSjUKcnHPgZdBP4h8HV/VTRL2A3uIj3KTU3i4GEaAdHNryMWzeAV+VYsYkekz20ivUyeYeQYkid\nD618Dd8VFfZNgYj6ULsH/NgDTdWI/0RlQLzG6uMKdpeCOMgbwEHfzEulh0Gco/nJ0G0AACAASURB\nVI5E+fWAVIGpfrwPtHuQSLyUjjkLiagvIs65FsLuWecbX0egGCMS2S/1Pfcii8ph31zSkF1BqSj0\nvUjiuB3C1z+NROsRyALQAsHcdyKLSU0kii8EXNjt/rRu3YS8vDxOnTqPpm1DUewkJi69rTpL5faf\nsfJk7J/U+vfuyoPhGxkofShYdwI+O5rAph37Aeh0bx+SAvpD40flgL2TaO9aw+xpk4iNjf3VeLNm\nz+G1t0bjtNu4//6+TJvyDUVFRfTt1Y0r50+Sme+gSRVhz9jdsD7dCi+egpCqkH8OJjcC3Q88D4Jp\nKagaflouAWaYNAAGNoPjmaJQ2bm+icSs+uj3fAqZR1C3vElUkJdx90GDaOj1vUJus3d8854IBj9w\nG0CrAp6TCA/dgVAbjxNQyYU9x4GugUTMTsQhd0eglWTEcYdTpjyp+B73IM54G2VwSRQSXWcgDjcb\nScxGI4451ff+fQisMx9x+u0RDvt+3zxaII4d32vngIEIHi8ce1k82vuOVYEJSFK4AMkL9EHom4GY\nzV42blyJw+Hg+vXr3HXXXb9bv4Ny+/2svPFIuf3TFhlVlZQMAwObScL0yFWVyKiyFoMutxuMt0R6\nZivJyUeo37g5I154jk/Gj7351rp163j25TcoGbACgqqwYPUz7IlrwKWLF1HRCA+UDk5/6Qrnc+G1\nFSqEVRMnDxBWAzUgDM1+A4tpLiXu6kAuTmJBhyfnXmTYzzpOt6gBbDxtQB+WCBWqQ62uBO4by7Kn\ni2kRK3z5ZlV1du4eB4BTN+N1a+DthFS6piK0yBgk2j6ALTuOMr353cjXwoUkWVWkStWOOPgY3/md\nESe7ComizUhU3g9x+KVyxNd8x+Yi+PsVRAjNgvCi6iC5gBzfNezIIuPwXd9GWRL2Ed97ub4xLvj+\nA/G+Y2zIzkJFFpIHkWRuONAQl+sEb7zxLsnJSX8zb6NpGunp6aiqSs2aNW+7hHa5/T72ezn6MQig\nmeP7/U1K+6CV23+Fvf3eOO5quZoz+TbMBp2ks2a27yqTYhjxzBOkvPgqdqMFvG7Y+Cbe+2fgrdKC\nSTNact+9XWjXrh0TJ07klTfexRtSC7KPgn8Y7piOKCmruTIOKlhh6FzRnunbGCZsVjH7+eG8cREy\nkiHmLji3GWw5dKnhpFccfL8zlbP5JkpcCTg9XRHHNh1DYDB6SR5utwJe18256qqRC/nSWGTQDEjP\nhb2vidPvM13jfEgb9DO7EKdaB4mIuyNRemkRkoI4xMMIK8YfceylTre975GIOFmr79EDicgjkcVh\nDWVywwAPU6Y7X4ivRTviiGshu4q9iIM+gSwAAcCzCFd+LbI4aEhR1iYEy78EtPV9Nt/7xjrpm8dT\niCrmFAQ+esX3syWHD0/izJkz1PHpKyUmJrJ69Tqioyvx5JND6N//IY4fPw3oxMc3ZsOGVeXQzh/A\nfq/l+j0kY/T3FI/KoZvbaA6Hg/fGfsj+w8e4s15tPhw7GrfbTWJiIgUFBTgcDvz8/Ojduzc1a9YE\nYP78n/ls4lQOHToE98+ABv0AsK55ii+GNOd8xhUmfD8f3S8M7HkQXg+u7MVQoQpvNTrCu92F2556\nFe6fCuljIHasH2bVS8YNFU0Ho9mC4nURbnFy/n3h09+wQ6W3FNyGQIKUIjQdnG6VV+7W2HQSjmYZ\n8QRVg7vHwbXj+O3/HFVzMTAelqYozHxUv8nEWXIYnkxqTqExBk4tQxxmaStAM+J8RyEO1gN8hcgM\nXERwcA/Ci2+FyASfQAqtShuBL/SNmYPANCCOPA7ByJ9CuPgg0X8JZQVWpVo1nX3X2eSbVyOE/w7i\n7CchEseHERy+I7KglFa+NkLgmlIJhfsQzn4HBPIpo0gGBU1n/vzvmD9/Ebt37ycj4xIeTyvM5uuY\nzedwu2MpKekJ6Pj5reDFF3swYcJH/+RdVm63w/4d6Ob3dPTFwN9T6yp39LfJdF2nwz092J8biLPe\nQ1jOrqSOfpKDu7eTl5dH44TWFEW2xmsJwXRyMUkb15KQkHDz/Cp31OFq8w/gzgFgy8E6swWrFsyg\n67098Nw3FfZ8CU/tBqMFLu6EOV1RTRZCzSWsH+Zgz3l4ZxU82BSWHDPSq4GHxXlt8GSlcn99Gzan\nRnaBzr7X5XpeDYJeN+HWjUzp56C4BN5aqaIoGs+1hcWH4YUOCpvOB3Amy02jiBJWnwBVVTCqFt7v\n4eRVn5/8ZAN8uEElNNjC5UITVpOX4qISBIJRkIg6BFFvPIncthURB3onZZWvRgR71xHsXfU9YhB4\nxoVAOrmIE38NWI/AQQ2RhWSX7xM1+l5zIBWtIDuLcchuwYsoWFoQkbTtiFMPQhYmzXdtP8S53+mb\ncyqyEBT4XgsB1qGqbdG0BhgMJ6hU6Swul5Pr1+vi9VbyjR0F9EFRvkbX70PomAAn6NSpkC1b1v7T\n91q5/f723+bohyB33AEkZPrr8sxyR3+b7OzZszRq0R778ItgMIKmETj9TjYvncX8BYv5do8LT7ev\n5OBDM2hTsJCVS+aRlpZG5cqVyc/P554evfH6heO6fplXXh7BO2++TlBIBbxdPhPIps80Od/rgXEW\nGO2CtGUYVzyGyevAbDbgxJ8Sp5NmVTyk5ftj7/4D5J+F9A34Z+5gXE/pJ/vRJgMLD5lB98dq8lAn\n0kFUsBunG+KqCCVzVGe53P6L0P4bIyGBfiRE21mdquJnUniipRdd15mzT6dzXdiSGY397q9ElGzj\nX8ATgTjoB5DIOhvBx9ORr8VIBF7RkMbdLsTxRiCOPhpxqnWR4iYQ51sVWTyeRKpkI5Ao/hqySJRq\n2pQ67ueRRSUdwdPjEeZPKV3SjSwMLyDJ1fO+cZ9FFpUVSO4h3/eeC3HyVYCtfPbZhyQmriMtLY36\n9evTu/e9vPfeHGy2+xD2zjXfNWJQlEJUtRpe732AjsWymmeeaU/jxneyYcNWYmIq8+abfyEsrHSH\nUm7/CbvdydiNSCjw1/Y2Ag6WZuvGIZH90L8+cMyYMTefd+zYkY4dO/4fplNuf8t0XRc6YGliTVFA\nUdF1nezcfDxhZdE74fXIOH6Z6rXqYQirQUnOWf7y6kgyzp7i9OnTREZGUrWqJFE73dOdradX4s08\nAjmjILwu7PwEqjQH1QAN++NZ/iRWiwV3yB2U9F0MJcUcn9MGDxqseFrmonnwAmPWGnhvgwXdXUKg\nyURxyV3YXE1IubyI8IDTVArSiAwUKWJdl8i//2wrzhr34mzwAOtTplMxOJkim5eZe0xougtFN7A6\nPQB98AKo7mOw2K7BjgmgRyOxSOnfvxVxyibKvkcK4sDNSPWqCcHMZyP4/Hrfa7rvuGYIPj8HYcKU\nFjWtRiCdAIRGuRjZPUxEFoOriMPdj+wMSlU1ryBOu7Sx9x2URfNbEAZRKWS0AGlJeIpOnaJ4882V\n3HPPPYwaVSZhMGvWLN/flOSby8ib5xoMBVSvHsa1az+g6xq1alVBVRVGjBiD3d4Es/k0ixYtJTX1\n8E2J63L7/S0pKYmkpKT/0xi3I6Uei3RS/msZxPKI/v+THTp0iLNnz9KwYUMaNGjwq/c1TaNNx3tI\nsUVTUn8w5rMrqWHfz5H9u1i2bDlPvvwu9v7Lwa8C/isfw3v5AK7+S6DG3VCUhXFKQyIiI/H382P0\nX17m8ccfR9M0rly5wvCRr5GYmIiiedBRwOgHQ7ZBdBO4eghmtifYaqaw5zyofS+47PBRBYhsCAMW\ngqsY5vUSjP/BhfivepS/tCugbiS8tdJExvW2eLUKGNQ1aJYAIvydaCV2akaILs2R/DAYdhBCY8FT\ngvppBLteKMJogMOXYORSE8VY4eFVUL2tfCBbRsOOz0F7BGnu0RiJhI8gDt2IONQ7EejlCAJnDPB9\nojrwge/3FUhS1I3w2qsjnPcZCOulhu+c0n6vN5CvnQFJ+pZy6P0oU558FYn8NWQhKEYi+gpI5P8z\nMALRtnmCshzAFt9PB336VGf58l8Xy+Xm5lKvXhx5eV5EybIMpomPv8SePdtISUlBURTi4uIIDAzG\n4xmB7F4gMHAh06a9y6BBg341drndHvtv0rq5VaC8L9L8stx+B3t79Fjade3DU+Pnk3BXJ76fOv1X\nx6iqyqY1K3i6XRQtMr7ikcYGdiVtxGw2M3DgAMa8+izB8zthndqQB1rHomsecfIAqT/jMQWRedcX\nnGvwKk88M5xnnnmG4LAIatZtwP79B3j/rdcJtCiEWlyge2F2Z5jeBma0h7A6FJdoUJAh4yW9D+ZA\nuPdLqFgboptCxzGgmiDrMIMa2XmvBwxKgFXPurEYduNvOoxXc6O/mkV+pbuJCjWy74KJI1ciwBEO\nk5tKpaxqRMPAoJnw2nITIxabKS6pKYvLokFwfDHsmwzJn4PmRKCYJ32f0mEk+u6C4OT+CKZegnxN\nLiLwDghLJgCJvu+lrMtuR98x8xHnnYwsAA7fsYUItNMFWSzqIIyYYOR7+7DvWqX6NCrC7PEiEgff\nIlF7MMK0UZAirj1IpeshhH3TjIMHD//m/RIeHs7Bg3uIjQ1FUU755qFjsZyjTZsWmEwmmjdvTkJC\nAqqqommlyWsxXbfgcrl+c+xy+++13yuin4OoLekIcDiMsm9JqZVH9P9HO3nyJPGtO+J45hgEREBe\nOpYfmpF9JYOQkJB/eTxN01AUhfDoauR3/g7q9oSvagrjJtYHQeycAEnjILgyFF2FkBjC1ALOnkyl\nXZvmpGZ6ISQG4odKhevyx8EaCTcuQN1ecGatVKvW7Ao9vobAKNj0JhyYBhVieLp2KlMHegA4cw2a\nfAz1Kxk5URSGY2Q2nFhCyJpHKCiKRKJZFTgBQfsgKByyToAWhUAfMYij/QEwSncorQK4gygTKotE\nGDNuBG8vQZgrNRFkMhmJW2Ipi5hDEOcdgFAzS1tBHgA2I9F5NSS5W0rRLE3empEI/BqSAO6DiKG5\nEJ78BIRF0xzhyW9FounHESKbjlTf1kJgHa9vfpeQBG9vYDtRUWcZPPhBjhw5QbNmjRkz5t1f0CTz\n8vJo3boDWVlF6LpGbGwEyclJBAcHc6v17TuAdevScDpboihXCQ7eT1ra0X+q2Uy5/T7231Qw9djv\nNG653WKXL1/GHFUfR4CvnV3FWpgCw8nOzv6Fo/d4PEyZ8h0HjxynUYM6DB/+AmZzWZS2cuVKHn/q\nWQrysmnUrDU/fPctTzz9NNr2MIoc+eB2lF3UbReHWeMeqNcbTiwhP2UOHbv1ITPfAW4P9PJJDgC0\nHgVJ74l/Sl8HsR3B44RTK+DMGrCGC2ZepSXkHOfHPR7qR0CdSHh9OYQHwPFsHedD80XuMnUBBTY3\nApGU3uuVZNEpMlOWzCxNdh71/bRBydBbzjkhr3GNskpXF9ASST+lIglOL+JwzyPO/h5kcViESA2s\nRb5GboQeWSolnOy7TiMkKs/wjf8UZcnXFQhrJgtZYHIRuKbYN34IAv3coKy94HXfuBm+Y0cgu488\nJOrPAuxkZRUzceJq3O47SU5eTXLybrZv34yqyia+YsWKHDt2kIMHD6IoCgkJCb9oJFNq8+fP4dVX\n32DDhs1UqVKFSZO2lTv5/0Erl0D4H7bMzExqN2iErX8iVGsNacsJ3fICVy+exc/PD5BEbO9+A1l/\nJBN3/YGY0xNpV8OPDauXo6oqp0+fpmmLuwSjr9ICw87x1L++lt3bN7FgwQJeGj4MmxIMXT4BRz7s\n+gyqd4CMneAXDAFRkHkIuoyX93d/Bf1mQ70+MsnFg3nCOh+TAWaerI6n3WjYPwUe2ygLxoqn4PgS\nCK8tztovlIDgYAyOa9hyr+KN7QLnt8guwFsCJiuUFIqsgeYFYwNwX0ei5cfhphL/LCSqvojo05xC\nyF9+SPXrLiQpmul7PILAIA0ReOUnMARB66egw2iYEA3uHkj0bkegk76Igy3ty9oZceJrEShnO6Jl\nX1ptawR6+f57pXRKExKxd0C48aXdofC9V4rpl2rqbPS9Z0MWgqdvuSM+Rbj+dRFsvx7QE/BitU7m\n8OFdNwulyu1/1/6bIvpyuw0WHR3NwrmzGTC4Jx6vTkCAlTWJS286eYC0tDRWr9uI/mommPxwJQxj\n+zd3kJqaSqNGjdi9ezdq7W5SoQp4271L2vjx0jh6zlSmDfIyZoOd0wemQHQzuH8WLBksydQh28Bg\ngoM/wOEZ8FSyYOWLH4Ymj0PhZTi3iVm6P4boOLxGB1w9KPo5/hVkgq1fhrSlkJkiXZv6zsFWs4uw\ncVa/iHroe3RzEPoTSRBSHVY+I5W0T24XRcplj8H5beCMpezeDwW8ENcSy5nLlDhPQVgtKJwLnrqI\nLs0wyipW5yMRe3NkQfBJQRhLwC8ETBZ4dCXM6gaaFYFQ/H3HVUZ2DfWR3QQI3p+LfL3OIKya80g0\nfgNJqu5HsPb7kETtKSS5uwxh2XRG0M7liPPf4vv7qiMyCx/L30gGAlEdo4zLf8g3j6u+n4qvL6z2\nz9xW5fYHtHJH/z9uPXr0oCDvGvn5+VSsWPHm1rzUVqxYgW70l2ImAIMJt2LBZrMBEBkZCdeOi8yB\nwQS5JzGZ/fDz88NmK6ZyCGx9voRu005z4mgq2pE5cEdnqNZKjgeo1RW2vivPa3cXamVQZZE4UM3w\nwI947+gEU5pA7ilZAAqvwIHvJCoHYesERQumX6OLLCjO6zSI9JBa+wWo5CNtdfkYpjQWrL/5c9D1\nU/g+AXF0DYEIUDZCrZ7Qfy7u9VEoe75GVxVoPkA06jO8CL5eagEI9HIVgVAWQfOhEDcIVj0rc2vx\nAlSMhZx037EmxNmCMGhuLXzKRzDzACRRGohE4DoSaRt9z5+hrP3gR8hOwoHg7PsRqmQQQgEt7V97\nBlkUFKSCtzTxW4r/z/ZdNxbB8NOxWE5St25NatcuZdiU25/Nyh39H8AMBgMRERG/el3TNKbNngdo\nsOE1aPQInFgMxdk3aZjdunWjTaNp7JrTBm9UPMqpRCZP/hZVVek34BFe+e4Dpg+wM6mvjb5TIb/T\nJFAMsO9bcX7+YbD3W0mq7v4K44738TiKIX0DAX4KNo8RqrYCcwA8sQVmdYaiK5KcHX5CJvpjdwir\nAQ8tl3zAjA4w9z4sl7ehVzRiyD6Et7QWIOe4XPPiDkhbJnLEBguERUDRKnAXgW6AwATQvGiaF0wB\nEtEf/kk06c1h4FqKsF+yETw+C0XJIdSqkl9zgDQrAbhvkuxQ9n0LhZmIg66EYOcnECjnEJLwbYRE\n7iBOeCll+H88QuN0+653kLLuU6VCZlt9x65Hov/2SKJ4K7KIVUDgpXMIvJOOLBYXEJ6+G4F3GgEn\nCQ42ULv2OZo1a8Gnn36EwWD4V2+tcvuDWDlG/weywsJCTCbTTXZFeno6jVp0wPHkflj/CmSngu0a\nTerX4PCBPTfP83q9JCYmkpmZSatWrYiPj+fcuXPMnDWbndu2cuLYARzOEor0YBETMwVIJO62SbSr\ne0HXUIDuPbrz1msjubdzW1pUh5ScIPLrDoFuXwrWPr8vmPyg9zSof79MIG05bP8QntknzjxpHGz7\nAFoOh+CqsPU9qNJC1C5Pr4IHF0Csb4dQcBEGLIEFfaFyAjy8GjQP/NQDrp8HW7bg+4oJtNag10Oo\niPsBVaieZiNYIyD//7V33uFRVN8ffrcmm94ICUmoCaETeu8d6aiASK8K0kQEVMrXroACioJIl6rS\nBOlSBRRC7713SCB9N3t/f5xAQLBRhOR33+fJk83szJ07JWfunHvO5xzGzWwgoXR/qPFuWt/mw/z2\nkHzbLZKITIDeriq1FRlReyEuluqIoT2M6PhJFSdxt9z2j+9K+84fmXiNRUIqTcjYKw4p8H07AmYh\nEgFUBtHZ+TVtvdvbG5FJXScwgNu6PSbTGLZtW0dUVNRD31OaZw/to/9/SlxcHI1feIn1v6wG5aRT\nl26MGzMqzY2jJPTyhdngdGL+IpxRn94rUmUymWjatOmdvw8fPkyJshWJ84yA5DiIN4FvQRnJd1gn\nk6jflAH3QMj/grhtXlqIcs/Kyp86Yvn8C5wKPmoElb5MlcSp91wlVr5oGzjxi8gm3Db0l/ZAzClY\nMQCqDoW9syW5qm6aVJJvLpjbQo6lezRkLSTLvbJBic6QKy30s3hnuHEMYs9AkdaiRd/vlLw9TCwH\nCYmkx8ZbwN0bUpT495OPg9NIQlIN+HUsKKe8OawbnmbkeyHumN+lH0xFwiRrIsY+EonC2YKoTJ5B\nDHcS4s9fhrhhUkkvB3gZmTwtirhj5iOSCJ8jD5LbJCHzAgeQh1RX4BDBwafw8spK0aKFuHTpEuvW\n3daxBzCjlCtxcXH/9DbSZGK0oc8E9H59IJsueeJ4MwZS4pk+uw5RhSfSrWsXSpWI4rcFrUjK3wqX\no4uJzBVExYoV79k+NjaWc+fOkS1bNgYMHsKkKVNJdQ8Bj2Ao21JG3IcWiRF29YJbF+HmechZHZb1\ngspvS+ITYK8xgoXfVsANuHATLDYPkjuuh28ryQi9cEvRt/m6uBh4syucWA1tV8CkShKRY/WAIm3S\nO+ieBcxW6c/WsTKBe2oDnNkCUR1hXisZkW+bADHHIEtBOLtFQjZNZvAPl9KC26cihTy8gbMS1snr\niCFOQDRtVoDDBJu+AEMyBqc7igDE7x2KJHmvQUbRzZGBVSFE5aMZEmFzEhldp6TtqwHiZpmWttyJ\nPARckVBMENfML8gkbk5gOukJWEcQd81hRPIgG3CIGzeuc+nSGa5evUzDhvVYv34zSq1BUlgOYrEk\n6tG8BtA1YzMF63/dQnLJXjI5avMhoXAn1m7cisFgYNmiH+j1XH6qxU6nW5VANq5Zfk+89MxZswkO\nzUnZWk0JzJaDqYs3kpqtnNRDfX42FHwemk0T98ehxSJaNqcZuHhB9AQo3AquHkzvzLXDYDCSZPGn\n62wDLs44DKsHS3sBkbKOXx4o8CKcXAdh5aFbtEgm2PzBkSwuoQ0fwN45EmHzQxso2V3cMJd2w7Ta\nsGqwPAB+6gZu/lDrY7h2EF7dA22Xy4Pj3BZxMTmdcGQZIv5VCXGttEDGObeTiNwQo5wTSAVnJyzK\nE5QPEn55BZlULYsU+jaT/vZ8u9D24rR9VEVG1gHIyP0mMnJ/E3G/ZEvbJgFxvYCM2m/76q9JH9iX\ntn11LBZT2roXkAfCryQlReJ0DuLatbrMnfsj5cuXwmDYBkzAzW07mzb9ojVpNIAe0WcKcmYP4/iZ\njThDy4BSuJzbSJ6iuQCw2Wx8/MG7D9zu7NmzdO7ek8S26yWq5eR6mNUEKr8MF7bfK4LmnkXi5Ufn\nEQXIKu+Iu6XG+/BNWXGtuPnDzmlgsuJ0C+LSjUSshmTUrukiQ/BzX3h+JiRcgeMrxN9vtspE7bZv\nwGkHoxk6bRKjvmaIPERS4qDSYIi7CMdXgW8e8M8rDwID4BUCOCVE1OYrfQ4tIw+l8aVk5B5/BQlD\nvM1tZcrdSIbqXmQEXhVxy0zA7syBuFQ8kMnW2/LALZGwx9+QWP1NiOFuhIRZkrbuXkQz5ydkRG5F\n3C+eiGvGG/gayXI9gRj1qYhvvgTpgmjXMZm2YDBkISXlRlrbqYiomgHIicmUh+7dOzN79gxSUlLI\nmTPnfRFYmv+/aEOfCfhq9KeUrVSNlLOrISmWbLYk3nxDokaio6N5te9Azpw9S2JiAgalqFixAlO/\nGcfhw4exBhck8XboYs7KEjceUUfi4r9/CYp1gP0/gIs3+OSB89txNaZgXzcEp9kdtW+OuEhcfSD6\nW/DJBdePphltEyllB0KN98CRAvNelAeFxQ0KvCAJVmuGwNLXxN3SegmMLyEPHUMRyFMLRoZhcSZg\n/K4qyTFXoN0qieEHMeq/jYMto6XNpFi4ehgC0h4CRrNMHOeqJrH6hmhI9UEM7HLEWC5BfOOuiMjX\neYkgSr4CqcfA6YJUo3Ii1aUCkIibVkhoo5F0rZq7M0utyFtCTNr+jnOvHEIbxJ2zDomWSUYeOBYk\nVPR2kW8fzOYUqlWritPpZPXqlSjlRCkTTue1tP6kotSVe5RFNZq70YY+ExAeHs7hfbtYt24dVquV\nGjVq4OrqyokTJyhXqTopNUdAvihY/RZYPVh0xEJU6Yr8snwxyRf2ycjcJwdc3C2j5i2fY/YKxHFk\nifjCk2LFkF/ajYvJTskw2HXZlVt1vhYjumW0+NYjGkjopMEso+l8jdPrzpqtUL6/JDfZE+HUehnZ\nO5KhSVom7ao3weIBN46Le+fSHki8jl2ZIPayyC/cLceQmiwPp7O/QcsFED1RInFuRwJlKwntV8sb\nyYHmML8dmH+DlHhwcYVUGxRvDxUHi5vn+5dlwrjlMphaE7zzwI2CSIYpyIh/GfAxYvhBqmRORGQR\nliIiZ8mIH9+JjNbrIxryLyITuCuQSd3GyBuFE5E0ThOSQyE6OeFAAk7nboYNm0Dp0qW5desWJpOJ\n776bSZ8+A3A6IzGZLlKxYhQ1a96uSqXR3Is29JkEPz+/eyJnAIYOHUZKnvoSmQISlvhpVhgcx6n3\n3dixYwfvDxvCwLeLYLf6iUvGaMFwci3O+MvQ+Fvcfh2Oh8strvoVwtliIS7f5KVp0TPs3hsFRV6S\ndmt+CL99KdExJ9ZINEzsaQmFPLJUXCvuWWBJD6kVWLiduGDqfS4RMvPbif6NexYx0ONLypvB1YPy\nJlF5IJTtDVvGwKzG8oYQc0pyAjpvgdHhsKiz6OBbbOAZClcPiBDbbfdTUFERsTelQkhRUef8dRT4\n5RWXU74msn1ISXnQpKbIw++G/a4zakcExOqBYSmo86SXB6yL+NY3I/52VyT80RdJfIoiXTe+HlKy\nIRvid1d3fQeS6NSM2xLCSim++24WpUuXxtPTE4AuXToTFVWULVu2EBISQpMmTbSrRvOnaEOfidl3\n8Agk3VUNKPG6TKrGXwIM9Bs4hIuXLmO3ZRWFyeQ4yFYCdWYzyh4HN05QlB+JTAAAIABJREFULcsJ\nTsW6cLnCILC44rQnciUOnLHn0rNp4y/LyDw6TSLZKxR6HYaYE5L89NsXEtNuTxTDe3IdNJsu2bUA\nCVfFsB6YD57e0t6l3TIyT7oB+ZqKkc5VDaInSYWofE3Fl594Tfpw5aBk3b74PUTWh02jYONHEuXj\nFQarBspDoPFEuHFS/vbPK9o8e2eDWzY4tQ1OHwQ1Rh5IkXXg9NtphcidyCRoayAQVCHEIJ9CJlvX\nIFo7RRCXTi4kXt6ORNRcvOvKxCDGfRsidXAUEUQLRWLg40mXKgalrCQlJd93fUuVKkWpUqUe9vbQ\n/D9CJ0xlcJxOJ599PpY583/C18eLj/73Njdv3qRdlx6cPX2KVLObjFazFpHarvYkMXjxlyCsgsTG\nv7RIDNvWL+D3ryHvc/D7V5hCS/BuwbVsPOvOMr+BOMsPgA+8cTHZ8fV04bJrfpy5a8sErCNRYvVt\nflI5KmcVqPcZ/NQDtk8QF47BKKN2e4LsM1taaOHKQfIdwOZRMsFbri+c3waTq0FUe0i6LvVore4i\nfuaeFYKKwNHlIrPgdEBQYei0UY5xSlVIugk3z8gDxuIu0Ti3Hy5Le4lGT1g5OLMZHBagJ+Ij3was\nAotZ3lKungCnDRmdv4S4cEYiQmhhSBbr12B0B2cyRqMFi8WEw5EIWElNTSD9X80dMeQOpK6sK/IQ\n+RJ5YIBM1hqQsMwE3NxWsnLlEsqXL//4byBNhkMnTP0/48CBA3z8yUjmrt5OYpUP4PpxNlathVJO\nEhtOhZq5YEoVOLkWw5mNqJjT4JEVEmPENRIQKaPd26/8uarD5s8kkenmeSwnfuLjCxCa1YTx0EjY\n/R1Ok4VkgysXbQXg2iEIS4SgKMhdQyZPARp8CTMaiIzxhR3QcIK4c356VVw1BhPMfVFcNzfPy5tA\nu9Xi2km1Q/l+0k5IKXlg7PlODG6vw5JV++soWPcu7P9RHhBm5AFwcZcsS44VX3vPfdLO5X2SMOV0\nwJyXZN7B6YT8jcXFFFoWTm0B9T0S7RIJLIeg4jIZve49SIyFlHPIhKwVidoJS7sS8WC1geMWFg8v\nPnn3bd5//2OuXq2LjOy/RMIuiyBRN+vStrud3CSlAT09FQaDImvWrOTJk4uTJ3fh7u7O++/P1kZe\n80hoQ58BUUrRocurzJu/iASTNyTeEBGxiHokXT+E8cRqMWo3jkLX7RjGhuPm4UV8taESmnhms/jP\ng0vICLpYB5ls3fK5SAAvfQ1iTlOgQAQ7D51hX5kvZFT806uSMeoZDNWHi//993HSqdv68yC+fu8Q\nCbk0miUbdtvXEuJoTpMXjrso8fEAWQqI4b95FjCKYQ4sKPu8dhjC68rfljRVzvzNpFJVnRFQ8EWY\nXFXcPW4B8GNbeWMo3DLdP++XR+YAptYHFQ7OJsA5OLgUan8EK9+AnGWlr6cXgj07+IaL++iXofD8\nLHmgzHkB4ncgRh7EbRMA5rnQdBKE18WxfQIjx3xFTMx1JJzzmhwTldO2KYfBsA2lkpC4+1JIaOUl\nnnvuRebMWUB8/DlOnz7FhAlf0batLu2geXS06yYDsmDBAl7uNZT4NpvAxQN2TIWto6F7NMb5bXDu\nXwBBxSDhstRiTbyOyeZNapNposZ46wJYPcXn7UiSCVSjWTJSu++QEfdXRWR0HVFP/NoWm4Qyrhoo\noZJe2aDpVIi/KlLBzlQo2U2M7dYxkkW7djhYPKFsTzGYBiPUGSlJUr+OlMnWc7/L/qr/D3xzw/et\nZF+5a8jbgM1PJmI3fAhdtoj8wrr3JXwyVzWpUrVphLhwbhyXmHuf3HB5t9SkDYqSClaXD0geAG9x\nx1BbF4FXgri2aqXJQqwcKO6rV3bCnpmiwFn5LZFtiD0j+01uh2Sw/ggYITgSum+/c33cx2YnPCQr\ne/d6kJoahWjX90H87naMxtFpksHhSOarJe23JzJRewtYiYuLkWPHDhESEvLkbypNhuFZqhmreYIc\nPnyY5Bw1xciDuFquHMC4/j2MR5aIjPCl3RKbHloGzDZSk27BvBZQ/g14K0EyTU//KqP7Gh9C0bZQ\nto+M1r+tIJIG9T4Xwzmrsbg6UlNkUjS8Lli9JblqQXuRJijWUeLorx0SwbIDP4pfPDlGDHNQlBj4\n4h0hSz5o8JUYebNNjPeRpbBzsoz4HSnieqn2P3k72DNHfo8Mg9ERsGu6vLGc3Sp1YM9vk2gdewL0\nOgJdN0PtESKNMDpCJBdunpUHyp1MVAWOK2K8s9/lFgktK33wzSlhmDGnYO7zkHILYk5itZpwdZ2M\nt3c0ZrPC1c0obackyPa3LmKPv8HMmVOJjLyBxTIegyEVq3UqsBZ391mUK1cSEZI8gvwLXk6rIfA8\nEmlTHCiJUi4cO3bsid9PmsyPNvT/EXa7nXHjxtGjV18mTZr0SEUgChUqhMvxpZBwHQDD7hm4e/vR\n2O8APj4+EqMeUlJ+F2oJwcVlBJ+3gfjgf+4lI9jEa3i5u4g+zPE1sGeWjKKTY+GlxRDVFlr8IBEt\nq98WhcnbhvnGMRm1m6zQ+ieR9S3fVyJnFnYG/0h4dZdo06cmyRvDzXPyoACJtFGpUG2YuFhCSsmk\nq18eQInxjqgrI2VHgiy3+Yn7J+aUJHaV7CqTqkdXiNEPihItHoDSr4ibqepQeehlLSifLbMQ1cmZ\n4Lwk0ULrP5CJ26SbsPFjkWJY976cqxvHJJGr1kfQ5mcMQUV49913aNCgOA6DkaSSfWSe46soTEt7\n4j69AoMHDaJAgQLs27eTy5fPk5R0iylTRjBwYDnGjRvK+vWrmTJlAqGhwQQEGBgwoB9+fpL4lI6D\n1NQ4cufOfd/1dzgcDBn+HmUq16Z5y7acPHnyoe8ljeZJo/6/4HQ6Ve0GTZVbZA1F7U+VW+5yqvHz\nLdXhw4eVw+F4qPb69h+oXDx8lWe2SJU1NJeqWbehsrr7Kly8FP0vKIYrRc/98rfFTdHnhCwbfFNh\n81eEVVZgUJht8pO3kSIgv3z2CFIMc8r6w5wK7+yKgHwKvwhFjiqKwMKKigPle48gRa/D8rnrbwq/\n8Hu39QhSNJmieCdZEVpOEVFfUetjhXcORZ46imbTFPmayPrDlWLgdYXRrLB4KkxW6XtoOUXumsrg\n6qNcbTYV4mdSbiEFFINiFB03KFy8FVWHK1x9FT32STtNJiv88kgfindWZC0sn1stUJR4RWEwK9yD\nFBgVuWvKPg0mactsUx5+QcoWmEdhcpFzltY/a9lX1OjRo5XFM4ui4YT04yzaTrl6+KjVq1c/1D0y\nbtxXymr1V9BEQTUFZvXhhx89cN02HbrKvfTyUmWq8T/lHxSqrly58lD71WQ8kNjcf4Ue0f8H7Nq1\ni02/7SThxaVQoT8JLVewcNFPFC1TlcIlynLlypW/bePgwYMUiCqN1dWN8AJRtHnpRY4f2svmFT/w\nRt+e/Ho8jpTG02SC1TNINsqSX0byt10RIKNxv9xw7ldJCAqKklF5cBQUaiEuE3sCLOoq2jdLekj8\nfd6GaeUDf5Hwy9sTnSW7y0TqwYVwbKW4WFYNFrfM0l6QfAsiG0pmbLtVkBQDu76Tilc5Kj3gSA3p\nfc9WSm7pqwfBPwJl8ycpKZnLiTaq+B3Guu4tOTZXH6g2BJ4bCxNKwfue8gbSfJb00+oBMafhk0DY\nNBLOboZsxSUktEQXcdE0/FoSwFw86dWjO2uWLcLVkCzRPkt7yXEdX4354PdUr14du90BHoFpXTZA\neC2MFhvVq1d/wDH9Pa+80p3p08dRu7aDOnXcWb9+DQMHvnnfeg6Hg5kzppDQ7EeIqEdq5XdIzlqK\nZcuWPdR+NZonzdN+MP5nbNy4UXnlKpk+ah3mVPjkUvTYrywV+qrGz7/0l9snJSWprKG5lKHBOBld\nNpuufLNkUzExMUoppVq17aRo8LXi9bMKm5+i2zbZT+ufFCZXGRU3miD7bbdaRr4WN0XfU4rgEoq6\nn6f3rf4XCqunwie3rOfirTC6KCzuipzVZMTdY5+8FdQbraj1icLqIdt457hrWx9F/maKXDUUZXrJ\niP6VXdIeRoU5rV/V31O4eiuqvKN4aZEiZ1VFoZYKj2wKs5uibF9FUHGFZ7DihTnSTpNJyt3dpjzD\nCsobRJE26f1vOF76YLYpjBaFW6B8bj5D0fOAouCLclwewYqyfRRDU+WYsxSQt49CLVSVqlWVi7u3\nomwvRWBBhauPMrl6qOCcEWrJkiVKKaU8fAMV/nkVnTYpOqxTeGZT9evXVzNmzFCv9x+gJkyYoOx2\n+2O/lxwOhzJbXRRvXrtzzB6FG6oZM2Y89n1pnk3QI/pnk6ioKNwc1zFu+kT83asGycjaPwJ74bbs\n2LX7L7c/evQoCU4rqtQrsl3Rl3F6hbFnzx4ACuWLwHbyZxHj8s0j4YYjssHCzphDosRXvf4D+J8V\n5jQXSQKVKj5vj8D0kWmqHXZNS0+oqvyWqE1miZRs1+tHYUykFPIIKiptbvwIQstJRI3VXbJN4y/J\nZOm1Q+JHv3oA3rPBpMpQfyw0myrrl+kl0SyOFNg9SwTOfMNlBJ8cC8ohejgJV8EzBAq9KG8GxTqQ\nZPEn8eIR8IsQOYV938Oe2VK8xJEMrebDkGQo0Exq2hZpLZPAzaZJCGlSrMwZ7Jom36XcAlc/OLSY\nDacNJJu95Xy8ugdTqa680q0r508cpn79+gDMmvYtpvgLcj5nNsTDlIxfYDDdBo9i5A5v+nw6k4bN\nWqAec2SZyWSiY+duuH3fCPbNw7zqTdxv7LnTL43mQeg4+v8Ad3d3fl23inZde7Jj1uckOK04228A\nkxnTkcVE5k0v2pySksLFixcJDAxMi8QQHZuUm5ckVNLNH5JvkXL9NAEBAQD069ubJctXsXtCAeJv\nXke1WS6G2TMYx+LuEuLYdoUYQKMFPvCCyMbwQ2vIXlFCCj2zyUSq2QVKdJWM0gqvS6cCC8LYAhJq\neWK1RO9YPMSYv7pHQi1jTsPYfGLA8zcV/ZvLe+HHNqIVf3IDvHEJLC6wrL/so/JbEjm0+FXYPUMK\nhBz4QTTuu20X+YOJ5SH+IqTclEQvmw/EXyU1/jqU6SeTyvt/lInTqwclXDRrQQivI33PXV3CL2/X\nnI27JL8dFth/CfYPBMMrEvcfcxLar8YZVlbkIMYVhqPLSfXMTuzNex/GDRo04IfZ02nVqg3KEIoz\nxc6MqTOgz2HwyU6Coz8bJhQgOjqaEiVK8DgZN2YU4Z+NYdmamWSPDOL92Zvw9fV9rPvQZC60of+P\nyJUrF+tXLiElJYVazzVh+6zqmGw+eKpYJq5bBcDGjRup37g5iXaFSklgYP++vPfeuwQHB9Pz1Vf5\neloFUnLXw3pqNS80b0K+fKKq6OrqyvrVy9ixYweDhrzL+t2TSKk/XnzPpzdKWKEzVYx47FlITcHN\nnELS8fU4T60TpclFXSWUsvzrsGOyxOHfxukQP74jUQx73EWYUU8eOl7ZZB2f7JJ1G39ZJAq2T5DK\nU3kbiJ9fpUoCl8UN9syQ0XL0N1B+gBj5V3ZIZM1nuSRu3miU9ot1lPbO/S6GN08tibJxKukXyKjd\nZBG5BaNVsm0TroObH2SNkgSsWU1Erz56InLbdwPjDjDclLeE+LTC38HFpU0XDwkx/bk3NhJpMfWr\n+67pqFFfkJRUEaXKyLb8IFWuar4HZitmz6xPpJSfyWTijf59eaN/38fetiZzohOm/oTk5GSmTp3K\nuXPnqVChPLVr135sbTudTnbu3EliYiLFihXDzc2NxMREsobm5Fb9qRJWeG4bTK7CiA/f5fXXRRJg\n2bJl7N27l7x589KwYcPbiROAFBFp37Une/bu4ebNWyQlxItxN7mI0fLOjiF3NWwH59CmeX0qli/D\nrLk/smr7UVIcQJ4akKWQGMJbF2RkXOoVcXesfkdcG21Xptdr3fCxJES9vEQSl/b9AAvaQalX5e/f\nvhTlyZiTcG673GlGs7h3yvWFSgPFdfJ1CXkLeOO8tDs6HMq9LuGRzlSpJnXjOPQ+Bt81gGPLJW4/\n5Za8oZR+VXRvfh0hGjde2SRzdt8c0fI5shQcdnkTKPg8BOSDZYPB3hhc5oOLu4SQumeRNxxXXzmm\nq4dEkC3pBi82b8acObPuu4558hTk+PEKwO2Ept8h8Dy0+h7D0aX4R3/KsYN78PLyum9bjeZheZiE\nKW3oH4Ddbqdi9TrsvWohMWtpbAe+Y9gbrz3REdShQ4coUr4WKb1Ppy/8thI+ice4cfn8X26bkpJC\n3kLFOBv2AqkFWkh91nqfSaSMcsK4ImBPICTQm/HjvuC5555j//79lKpcm4TuhyQyZnptiLuEITVZ\nQt2LdZCSfvFX5a3AaYcmk9MLei/oJIlLRpMYaqNFXDydN8n39kT4wFtG5UHFxU+fdEP88d23ywPk\ndjt7ZokgWr5GMDqv+OeDisqbg0LeEppNg+X9oFArqPIWXNorBcoxyJxCYBE4txX8IySSyD9CCqYk\nXJdksC2joOd+cVF9HgmxRgiwQIlO6do656NhSnV5O3AkSdLVsr40atyEhd/PvO+8d+rUjZkzfyMp\nqQGQjM02m+y5/bhy7Tq584Qz49uviIyMfJTbQqO5Dy1q9phYvnw5+8/Fk9B2MxiNJBTvwltv56Nf\n316YTKa/b+AhCAoKwplwXSZrs+STUfXVQ6S6/v31PHDgANfjnaRWHioukeQYKPJyegikby64EM25\ny7G81K4zs6Z9i5eXF2bvEBlhW92h23bcvopg/ozp+Pj40LBZS2JTXUi+eVWMttEM89vDqU4Qd0EK\ncxuMInmQp5b87bxLu12lJYQVeBEO/iiTyLW+hgs7YXIV6LFXQj/PbZU+L+4OCzpIBm7ZXhBaWjJr\nd0ySCdsf20qblQZKu1kLgV84VHgTFnYUVcrQMpJde/OcJFDFnpI3ms0jJQTziwKiq5NwEQxOuGmW\nrNnb3Dgux5mzqoSQ7poOvjmJDM/1wPM+Zswozp1ryapVH2MwGOjevRcjR35yz5uWRvMs8CiG/gVg\nGFJ+pxQQfdd3g4COSKpfL6SkToYhNjZW4s5vqzp6heB0OklKSsLd3f2J7NPb25shbw1iyLulpDTf\n5T2YPXxp07LB327r5uaGIzFWRqEWG/jkFE2Wwi3h+C9SqemVneAfwc0dk3muaQuqVqmMKe6s6LtH\nNsKwayrYE2jdoRtu7u70e60bg4a8K24SVz/JbjUYpf2QMlLcY+cUuHURwuulacGcgglloHgn2DtX\nJoQv7pBJ5C5bJNqnUAu4sl+MfWJMmhhbXZFeqDhIDPTCjiIf7LTLnELyLfmxuotLK7S0GOWbZ+Ut\nwTMYar4vJ8M/HPPK12W+1Ts7uHqjLuyCpBsYgwrjLNBCKlOt/Z/MCeycKm14BMG28fj5+nD9yFI4\nvw2j0UCYvyuD3uz/wPPu7u7OsmWLSUxMxGw231N0XaPJLOQD8iLVGIrftbwAsBNRasqJVFV4UBjn\nU41F/StOnz6tPHyzKFp8r3j9rLKUe02VqlDtie938eLFqnnz5ipL1hAVnCNCvT5gsEpJSblnnVOn\nTqlO3XqoBs1bqUmTpyin06mcTqdq8sJLyi28sqLCAGUOyK3MNi9l8MkumZ35m90bw2+2KdfI2qpH\nz94qf9FSysXmoayeAcrgk0NRZ5Siw1pldPFU5GsscebvJEu8ekABiX139VW4BUjbOaso3AMlbr7W\nx4pSr0hcvUewwjNUsm0tboo3LqX3ocDzkplqTcvarf6+ZN4aTPK3i5eiXF9Fyx8Vb8UpmkySY/DO\nLuuYrAqzTblkL6lcPXyVa3B+WW+4UoZaHyvMLoo8taXvQ+yKMq9JTH2Pvel9iGqnMFolKzeomMJo\nUR07dlZKKXX58mX15ptvKjcvP2UwmlREgSh1+PDhJ379NZp/Ag8RR/84+KOhHwTcndK3DCj7gO2e\n9vn6SzZt2qTCCxZTXv5ZVZ0Gzf5xivny5ctV+Wp1VYny1dXEiZP+8f4GDHpHuQdHKkPlQco9dznV\nsFkL5XQ671nn4sWLyi9riDJVGaxoOlW5hRRU734gafIOh0O1aNVamd39lGu+usrVJ0i1bd9J5QjP\nJ4lAg2LFwHXapHDzVzSZoho9/5Las2ePcvcJkKSp52eJbECjiSI78NyX6Yax4wYx5mabGHiLh+KF\n2fJd1iKK9mvS1y3RVdYxWkUuIWtRRfZKipd/VtT8SNoo2V1RbbisY/UUGQKbv2zn4iXSCHeSuMZK\nO/maiEHvd1qZ/XOrHj16qFOnTqlWbToqV+9A5RacVxlcPOV4bb6Kwq0VeWpJMlSOSrKfWp/IAyGy\ngTJabQqzq3Jx91EDBw2+c75PnDih3LwDFJ02KoamKkP90Sp7eP77rodG8zTgIQz943Am/gK8Trrr\nZiywBamGDFI5+Wfghz9sl9bnzMP69eup2/gFEmuOBhdP3Fb3ZfS7A+ncueN96zqdTpYuXcrGjRsx\nGo18+tkYHL1OSPTHhZ24znmOH7+bSL169e5sM3bsWAZM205Swymy4OphvGZWJvbqRa5cuUJYrgiS\nu+wQn/ylvVinVmLxj3MY8fkXrN6wFad/friyDxpPwmXnV3SrI3HvY3Z4iLgYSJm/Zf0wuHigEq5D\nh/UiFLago4iJnd8OOSqKYFrvo+I2GR0BrRbIZCzAL8NEJO3SbohsJPH0MSfE/21xg+yVRLSs6+8w\nIgi6R0sRlITrMCZc5gRMLlIbNtUOGz6QCJ4W8yTkEWDLWAJ2f8ba5YupVb8R167HkpKSLAlatUdI\nG+OKgHeYSC8YTVIJ6+c+GENLEZh8lCUL5pE7d24Rgkvj5s2bVKlem53X3aWweBoun/py9sSRO7kL\nGs3T4klMxq4Egh6wfDBSNeGf8kCLPmzYsDufq1atStWqVf9Fk88eEybPILHsYPGNAwlGC2PGv3uf\noXc6nTzX5AVWb/wdu90uUSIGq0xsrhwIu6aR5BlCsxat+Wn+PGrUqAGIzonTbEtvyGIj1SGx5Bcu\nXMDqG0Kyby7Y+Amsf58Ug4k6DZvhHlkTq9UFru/G4OlP8sL2pCgnEyb9TmBgFsjWLL1NgxHiLmG5\ndZKUhJvwSRaJv8cgPyGlROHSxVuSlGp9LD76+e2h0QTxm/86SvzgGMTY3zgpYY8tf4Qzv8Lu7ySS\n5qfuMuEakBaZ4uYn8fsXd0G+hrDmHckBcMsiCVPnt6cb+gvR3Eg2UbREaVLdgsGRKpE/UR1kEvrM\nr5JRG9VOjDxItSqTBd/EY+yK3kxgYOB917BNp+7si/OF2KNpJQhtcPUwOB14e3s/2g2i0TwEa9eu\nZe3atU+7G/e5bgam/dxmGVDmAds97Tegx06HLq8oan6Y7nJotUAVK1v1vvUWL16s3EIKiqtiwGXF\nUIf4sqM6KHxziZ7McKVov0Z5+2e94zI4fvy4zB0896Wi3Srllqeieq1Pf6WUUrdu3VJuXr6i5eIe\nqOh3VtwXXX+Ttt6KV+7Z8qmKVWsqa9RLss93kpU5b11xpTw3TtHie2XwDlPu3gGiOTP4lmLAFUW2\nUuLy8MmhDK5eitojFP6R4jO3eoi/3eIurh33QPHBD3OK9o5nsMJoUQbfHKLH459X0XqJuImsnuKT\nf3Gu9LHLVvnbJ5ei3SrR0gkpq3DLIq4ltyyKIi+LG8Y/r6LCANHfGa7ENeUWIO6gV3bK50qDpK03\nLoq/vlw/RY7KqmDx8n96DT18s8i5K9ZRdG4KtVIWD3/1zb9ww2k0TxIewnXzuMIr736NWATMBEYh\nmSQRwG+PaT/PNL17dGNu1ZrEG81g9cS2aThDJ9+fUXnx4kVSvXKA00VcNQBtlmEYVwiVqzrY0tLZ\nc1Yl7mYM8fHxeHh4YLfbyRMewYENw3FxtdG9Q2uaNm7Al19+yb79B0g1WEUfxuIGa4dJZuz5aEk0\nSokjyTuEY6fOklJpgIxyjSYcRdpB3FU4vBRUKgZ7PPEGE1QdIolWLh5Q9jX5vlhHshwYz+UL0VKE\n+5dhcGYTXD0iGjehZSTap+7n8PtXcO2IjND9I1E7voV1/4OmU9Jry8ZdktH//PaSmWswQP0x8HNf\nsHpJOOXV/Wla9mfkjWHLaElmav8LTKsF1d+Ttta8A17ZYftE2PqllC+s+YFE/IwME5VL7zAs9lhe\nH/b+n15DX78A4q7ul6paR1dgWfMmr/fsQudOHR7XbaLR/Oc8iqFvCowBAoAlwA6kDtp+YG7abwfw\nKk9plvi/pmjRomxYs4IRo8eRlJxC11mTqVOnzn3rlStXDsO5geAwiLxvZCO4sB13mwupl38nMeaU\nSAjvmUVgcCju7u6cOnWK0uUqEVuoM7SdiNoxge9mz+HLb6aQGl6P5O0zJDbdPzxdp8XmK8a1/Rrw\nCiV1fjsun14PhxZD7poi7LW0l8gSn98OnsEoz1DxxZ/7XTJcQapQuXjBwUVcvnIDri+SUEr3QDG6\nuWtIWOTxOMlYHZsXvHNINamTa8GRiFue8iQc3yKVmG7rztjjIfGaGOHXDkpWqskMO6bArmmYdk/D\n7OJCcs3PJCN2wwfSD0cS5m9KEByag3OJV3EqBdu/gX6n5SG3apDE0gM0Gg+BhWDtMAxxF/novbfp\n0L7dn17D8WNH0rzVSzgLvIg55hjZs1h45513SEhIYMuWLRgMBsqXL4+Li8vjv4E0mieEzox9Ssyd\nO4/2nTqTmGwHRwoBQSEsWTCPXzf/xpuDB2P1DMDV4GDlz4uw2+1Uq1WfeJcgUXMs3FpGsh95Q88D\nUvXp62Iw4FL6Dr6thOnaflLL9JNMUpAR9tfFwSeXZH/GnhH9GmdaZaPQMnD2N5EJiL8osez2RJl4\ndaSIDz0lDuqNhbjzsOlT+b7mR7DjW6n52mw63DoHM+pLucDsFWFUdlwsRiIjcrN7506ZBwgtI/H9\ntUfA0h7w8lJ5sFw5CBNKg0dWsnkqzsc6JUu36jvSxxUDKK22snEgF6SLAAAX+ElEQVTtKs6cOUPF\narW55bQRd/4QvH5WlDgTrsGYCIwFmuL0zQubPgFHIvXq1GbyxPFkzZr1L6/N3r17Wb16Nd7e3rRo\n0YJbt25RumI1rju9INVONk/FlvWr75nE1Wj+K7QEQgZDKYXD4SA1NfWOUiVATEwMV65cIXv27Li4\nuBCWJx9nS74nWi1JsZL6X3GwTGa+HS8ujrH5RJCsZDf4ZSiG377A09ODeGsQqV3SPGcHFsD8dtBp\nkyQJzWwiSUxtV4h7ZO7zMtGqlIzSw+vI/tYMgW6/Q1AROLwEFnaRKJu9cyRx6cyvMipvuxIC8sq+\n1n8o+6j1MXySlVKF87LviiLh+QWAAWbUlegbe7yIqh35SWSTb54Dsw0vV4i7GYuz2y6YVlMmgR2J\ncGYzn773Dl26dGH69Olcv36d8PBwli5fzfwN+0ko3R/TpZ14H5hE5/Zt2fjrFrbtOUJKxbcxX9uP\n/5mf2L9rG35+fv/4OrVu34W5x7xw1BoJSmFd2o2u5bwY+/mIx3g3aDT/DG3oMyFOpxOzxYJ6O0lG\n4SA68ydWYDM6iC/RB2fZvrBrBoZlvVH2BMlkbT4DjGYM89ti8cwCISVx7JqDn7+/ZP6GlsV+arNU\nVirUQto98jN8/xK0nC867YeXiJ/fJwf03JfeqQ98RCTMFiA1VT2CxQjXGQEFmss6c1tIaKPBBHtn\nYXQk4Gz4jUgYAxxcBL9/LbVfI+rJdjEn4coBWNwNz6A83Dq7XwTKji2HxBtgsWEzw+6d26lepwFX\nPArj8MqOdc905n43mYOHj/LT8jWEBAXy4btDCAsLw8svkFsvb7gT2WNb0JJRXavSvXv3f3wNSlWs\nybbcb6RLH++bR424Waxa8uMjXFmN5uF4GEOvC4884xiNRnJFFJSQRIC4y5iPL+f1ri+x87eNFLg6\nH+P7Nvy3DmX54h+oVb8x1B0pxTZyV0fVH0ugzY7aMxtnlSFcrfkNJp9QDOe2iJTB+e3pO7uwQ/Rj\nclWFRhNFUsFoljDFoyvE6J/ZAqkp8Oo+6L4N8jeXSdWEqxJrP789TK4mqpF7Zkmxki5bcXqGYri4\n4659RWO8cRiD/RasHiyyCMoJa96Gwi9xq/1v8oZy4Ad4ca4UEan7GW6e3rz77ruccS1MUvN5OGqN\nJKHhNF7rP5jX+/bml2ULmTHlG8LCwgCwpySLzk0aTqsPycnJ/+oalCtdHNfdkySm356Ebe9UKpQu\n/vcbajTPCHpE/4xw48YNXuv3Jtt37CZ/ZDhffv4pwcHBAOzZs4fKNeoSn2olNf4qrVu1YNrkiXe2\ndTqdGNN0eSpVr8tGl3pQrrd8GT2J0L2jOJujJVR5W5ad3QrfVoAe+2FqDchWUiZHjy6Xgh9Z8smE\n7sdZRDcn/qJMlCZeE2ngAs/D8zNg1wxY/RbUeF/qyq4cKJox+ZtKFM7qtyQZyic7xoUdcDm6GGPu\n6iiDEZdzG3mjTw+MRiNXr13nu3kLcNjtXL92hdSBN2HfPPi5t9SObb/mzrHaRoeSEned1HJvQPXh\nsvD6MfzmVOfahVP3ndeOXV9l9oZjJFYcDlcP4L52ALu2bSFPnjz/+NokJCTQoOmL/Lp5MygnNWvW\n4sc5M7Barf/iCms0jwftusmgOJ1OSpStzH5jIVIKtcF8ZDEhFxZzYNc2bDYb0dHRVKpem4T8L4Or\nL7YdX7L4h1l3EqluM2nSJDp1fUUShyq+CSYrhg3v0bzRc/xwMReq5oey4vE1uCxohSOqM6mle0P0\nRCybPyFXzpycNuUmKXstXA98R8qFvThdfEUQzdVbIluW9RN3DEqKbt8dLrn2XQl/NJkhRxVwpoBH\nMAa/PLj/9jFrli9hz549KKVo2LDhfQlLTqeTgKBQbtSeKIJpWYvC9vHw6l7Jzr1xAsvXhbEE5CEh\n9qroyHtnh0WdaVLUh/nz7pcSTklJYdDbw1j880oC/P0YM+J9SpYs+a+vkVKKixcvYjQa/3YyV6N5\nkmhDn0E5evQoRctWI6HnKVHMVArPySX4+buxVKhQgZZtOjLnSqF03fRdM6gYO4sNq5bcaSMmJoas\nITlJabVEdNzndwT3ADC5kMPXwNUrl0go3hvlnhW3ze/x0ZABTJw2i327tmG2WPli9Ghat27FyFGf\nc+DIcfLmDuPdDz4mNaoz1B8tO0m6CR8HwEsLxe0zvgQ0/lbK9QFs+EgmU2t/CjMbYrp5iohgT/Ll\nz897QwZRsGDBvz0XmzZton7j5iTYDTjK9JMIniNLIbgExuMrGNy/FyPHfEVihaFSbCQpBqNycP7k\nYW2ANf8v0Hr0GRSLxYLTkSy+b6MrKCfKnnDHNZCYlCySA7dx9Sb5cso9bRw/fhyjV7CUy5tRX2qp\nln4VlOLC4vZ0quVFsuMit+KO03byOBo0aMBrr/UkISGB+Ph4hr/3ET+0ak+NyuWY9u3XmEwmonfs\nZtHaRVD9fzKi3zdHZBoi0vR3Kg2WmrD1x4rrZtOnEsFjcYUCz2PbPJxtm3fcI+18/fp15s6dy7Vr\n12jRogXh4eH3HEeFChU4d/Ioy5Yto13n7iQU6QJh5bAe+pFvvv6Stm3bYjSZGTH6PcyhxbGf3srY\nUSO1kddo/gJt6J8BsmfPTvWqVVj7QxMSIlvgemIp+XMFU7y4TPh169CaVW27kuCRFcwuuK3uxysf\nvn1PG2FhYThvnhddllsXIKS0fGEwkBJUhluJu5g+afyd9U+dOsXu3bsJDAykZZuOnPOvij2kMeu/\nGs/e/QeZMvFrFvw4j0bNXmT5mFzgHog95jx4hUncvdEkIZg/vYLritdwdbFyK99zpGYrAakOzIfn\n8/pr3e8x8ufPn6dgVClifIqA2Y23h3/A2FGf0LNnj3uOxcPDg+eff57ChQvz7eSpOJ3BtPzmF5Yu\nW0GjF1pTtEAka5b+KO0VHEnevHmf0JXRaDSPylNQiXh2SUlJUR989Ilq8uLL6p2hw1VCQsI938+b\n970qWrqyKliivJowYeID2xgxcpTC6i4aNPkaK95JUgy4rNzCiqopU6beWe/7739Qbt4ByqtQPeXi\nHaQsWfKk6/MMilUmi8s9+z9+/LjavHmzqlarvjK6+SpCSinK9lY2/1A19otxSimRdTbZvBW+uRUe\nQSpXZCGVlJR0T//ad+qmKNtb0XG9omgbRWhZZbB6qEuXLv3luXE6napG3YbKVrChoulU5VqkuSpb\nqYZyOBz/6hxrNJkBnpJM8cOS1mfN4+Szz0bzxptvkmqyQfItDEYjr7/+Bp989B4Gg4GUlBR8/ANJ\nbL0GshUXaeCx+aDNz5CtBNiTMH/qR8y1K3dG49NnfMebbw8nMSGeGtWqUih/BFarlYoVK1K5cmUA\nCpcoxz7/JqicVSExBtuyriz7Yfqd7wEq1azPxpRiEP0NVB0GGGDlm3z28f/o06fPnx7T0aNHKVKm\nCok9T0ougTMV968j2bjse6Kiop7cydRonkG0jz6T4XA4eP/DT1ixdiPZQ4L59IPhhIaG3rfewYMH\nWblyJV5eXhQokA+rmxeJNUaCwYjr2kGULF70Th3T69evo4wWMfIAbn4YshbCsOlTnCW6YNs+lhr1\nG94x8mvWrKF7nzdJaDIHPIJZurw7wdmyMfazYff04cDu7aiBa0TWF3Aeb0R0dPQ9hr5R3RpsHDYC\nqr8PJbvIQouNH36aS58+fYiPj+e9Dz7m9x17CM8Zwgfv/Q8/Pz/sdjtGszUt2gcwGDFaXHGkSTRr\nNJq/RidMPcN06PIqn3y3hl+DXmHemWyUKFORGzdu3LPOmjVrKFG2EgNm7qPHJ7Np3rojiRWHiXpj\nkdYk1h7LyC+/ubN+lixZ8HC3SZw6wOX9uFzbQ/WwBKIOvku3OvmYN3PqnfUXLFpCQrGeMsnrl5vE\n6iP5ceH9pQiyhuaE42mFOuyJWM5uImfOnPes0//1fvh7u6Xp26dhdsFstuBwOKhSqz6fLtrPaltz\nxi8/SNawPPz+++/kzZuX3GFBWJf3gJPrsazsR5C3hSJFijzK6dVo/t+gR/TPKHa7nVnfTSX1javg\n4klqZEMSru5k/vz5zFuwlNUrf8bDyxeri42E5yZBZENQCuOX+dJFygCcjjvJVAAmk4lli+dTp0ET\nElf1xpkcz4SvxtGmTesH9sPXxwvzzZPcGTvfOIGX1/0FOOZMn0TdBk1IXR2AI+4KJcuVonHjxves\nYzAYmDphDM+36UKSxQYGI25r3qDPpC/ZsWMH+49fILX7LxJiWvAFHCNDadD0BS6dPcnnn7xPh+69\nuPHTUooVKcD3v6zQCUsazT9EG/pnnXvmMRRfjJ/MPmcE9r7nuXHtMEypLjK8AAYDzrBKmNe9g8No\nBosrbuvfZtCkcfc0WaJECS6eOcH58+fJkiULNpuNP6PHq68wfmIZbixqj8MtGNc93/L57On3rVe4\ncGF8/fy55BVFqm9etm6fyOzZc2jVquU96z333HPMnvwVn4z+GqdT8cY3Y2jcuDGbN28Wl1Kaiwmj\nBcyuXD5/hq1bt9KwWQsSyr0FVk9+3ziEDRs20KxZs/v6odFo7kdPxj7DtO/cnXnrD5FQohfmC7/j\nf2w2N2NjSHzlUHrBkq+LYwqIILXhRIg5hdvc+nz4Tn/WbPwNu91Bz67t7qk7+zBcvXqVKVOmEBcX\nT+PGjShWrNh963zxxRe8MXE9Sc3myoIzm8m6/GUunj72j/aRlJREnnxFOB9UR/Rzds+As78R5BJP\n7Vq1mHYmN1QcICsfXEixk58T/esvj3RcGk1GRE/GZlAcDgc9+/RnyuRJmMxm+vbuzbvDhzDx6y+I\nGDGK5asnkTN3Nj6auZGS5aqQeGU/uFcBpbB5ZyHccooDIwKxuXvyyYfv071bF3r1+mf7XrZsGdHR\n0eTMmZOWLVve4+a5TUBAAP379//Ldm7evIndM0f6Au8cxMfd+sfnwNXVlR2/baRKrec4NHcmJqsN\nN6OdhYsXM3rcN1Is/DYmF1IdqX/emEajeWZ4usGozxBDh7+n3CKqKPpfUPQ9qdzCiqrx47954LoL\nFy5UNu8sylq+p3LLX0cVLFZaJSQk3Kkr+294e+j/lHtQhDJVGqDcc5dVDZu1+NN21qxZo3r06qsG\nv/WOOn/+/H3fR0dHKzefQEWb5Yo+x5Vr4aaqVdtO/7pPSil18uRJtXXrVhUbG6uUUmr9+vXSdrPp\nilYLlFtgbjVp8pSHalujyeiQwSr2Pe3z9VQ4deqUqli9rvINDFElyldVhw4dUsXKVlW0XZGetNR8\nhqrfpMWftrFz5041atQoNWnSpPsSq/4pMTExymrzkMLZw5XinSTlHhShNm/efN+6s2bNVm5+2RS1\nPlbmsj1VQHCYunDhwn3r/fTTTypnZGHlFxSm2nTo+tB9exArV65UlWs1UGUq11ZTp01/bO1qNBkN\ndMLUs43dbieiQFHO5niJ1CJtMBxaRMDOkRSNKsZqZxVUOUkaMq0ZTLvIWL4d/+UT68uZM2eILFqa\nxN7n70yAes+uxayR/e7z6efMW5hTFb+AnFUAsCzpztBG2XnrrcFPrH8ajebBaB/9M87Ro0e5FpdC\namXRqVFlXiP54HTatWrO1t6vY7+2G0NqEu4XNjJ8xq9PtC8hISEEBQZweuMHpJboDsdXoS7veaCE\nb2JighQCT8PulpW4+IQn2j+NRvP40AlT/yGenp7Y42+I3C+APQnHzUsULVqUfTu3MaJdCUZ1qcz+\nXdsfmAH7ODEajaxdsYQSSWuwfZmH8H0fsernxWTJkuW+dVu9+Dxuy1+FCzvh0GLcdn5Ns6aNH9Cq\nRqN5FtGum/+Yjt16MHf5VuJzN8btzApqFg1lwbyZdyQKnkUcDgcD3xrKnB8W4OHhwagPhz1yyKZG\no3k4dOGRDIBSitmzZ7Nj524K5I+kTZs2mEymp90tjUaTQdCGXqPRaDI5D2PotY9eo9FoMjna0Gs0\nGk0mRxt6jUajyeRoQ6/RaDSZnEcx9C8A+4BUoPhdy3MCicCOtJ9x922p0Wg0mv+MR8mM3QM0BcY/\n4LujwP1athqNRqP5z3mUEf1B4PDj6sjT5NChQxSIKo3FxZVceQuxbdu2p90ljUajeWw8KR99LsRt\nsxao+IT28VhISUmhaq36HAxth+ONa5yMeoea9RreV5tVo9FoMip/Z+hXI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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "0.7962\n", "running knearest neighbor on LDA-transformed data\n" ] }, { "data": { "image/png": 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mjRqQ5ojnwMFp7PYOhha/w7HlcPQPjAfnsHT7Fnx8fFi/fgOq1NtQcwR8Xxbq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QK6XPCJYMtoPEhQuI6GQ1JYP2YziuJGVc8g/k45AgFtgWv4XDfZ+upeSq+Vsn/yAXxu0Zv73KEI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\n/Cgr8r9Np/atCDR/yzudrFxKhyeX6vh63+G/7Atm9+7dHD92jIBKlejXr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TSnlM0bNtf+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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "0.7922\n", "running knearest neighbor on PCA-transformed data\n" ] }, { "data": { "image/png": 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bEcEtjVj1+4w51EQ2JH2Ia6S0MdYGxE8eh7iFnIggg1jofmATcDdi5acCH5hM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\n4/eOX5LAfwu+sAVpWeIE3gPGAy//hvF+c+j1enr27PlXnsIfEmlpaSQlJ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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "0.7958\n", "running decision tree on LDA-transformed data\n" ] }, { "data": { "image/png": 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VZMLS9eNQvAPEHJARKMcXyaSdtDjACfkawOyaUjc3esC6jyCsIfzaXDpD486B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\nsi8FtUZN649akXY4HZdgKQmZdTmbJlMb0XxWMwBcw1z46YPjbB+8A5cwV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FzAt62XVU8U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\nYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "0.772\n", "running decision tree on PCA-transformed data\n" ] }, { "data": { "image/png": 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IGFuRT0FvxNcM4q7wQ2qbPI8I5FrEdZHlze2JCG5h4DvE4i6ECL/F6STN7cah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\n0kxJpxEQ5vP740ssCTLGMiCf1/PM4zDz5ZzPOSOfOee75u4mJSWFuLi48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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "0.765\n" ] } ], "source": [ "### Run classifiers on test data and see results. This cell can be run independently of any others ###\n", "# of course we could have just used the built-in LDA function from scikit (but that's no fun)\n", "# from sklearn import datasets\n", "\n", "# LDA seems to perform best when the clusters overlap and their means are mutually distant. If the means\n", "# are too close and the distributions overlap, then KNN seems to perform better\n", "from sklearn.decomposition import PCA\n", "from sklearn.discriminant_analysis import LinearDiscriminantAnalysis\n", "from sklearn.neighbors import KNeighborsClassifier\n", "from sklearn import tree\n", "\n", "#generate some data, or if you'd like to visually inspect it, run the above cells first\n", "X, X_test, y, y_test = generateData(5, 5000, 1000)\n", "\n", "# print X.shape\n", "# print X_test.shape\n", "# print y.shape\n", "# print y_test.shape\n", "\n", "target_names = [i for i in range(numGaussians)]\n", "\n", "pca = PCA(n_components=2, whiten=True)\n", "X_pca = pca.fit(X).transform(X)\n", "X_pca_test = pca.transform(X_test)\n", "print 'PCA: explained variance ratio: ' + str(pca.explained_variance_ratio_)\n", "#print ' and avg likelihood: ' + str(pca.score(X))\n", "\n", "lda = LinearDiscriminantAnalysis(n_components=(numGaussians - 1))\n", "X_lda = lda.fit(X, y).transform(X)\n", "X_lda_test = lda.transform(X_test)\n", "lda.predict(X_test)\n", "print 'accuracy of built-in LDA on Test Data: '\n", "print str(lda.score(X_test, y_test))\n", "\n", "\n", "# classifiers\n", "neigh = KNeighborsClassifier(n_neighbors=2)\n", "print 'Accuracy of K-nearest neighbor on raw test data'\n", "neigh.fit(X, y) \n", "Z = neigh.predict(X_test)\n", "plt.scatter(X_test[:, 0], X_test[:, 1], c=Z)\n", "plt.title('KNN on raw')\n", "plt.show()\n", "print neigh.score(X_test, y_test)\n", "\n", "neigh = KNeighborsClassifier(n_neighbors=2)\n", "print 'running knearest neighbor on LDA-transformed data'\n", "neigh.fit(X_lda, y) \n", "Z = neigh.predict(X_lda_test)\n", "plt.scatter(X_lda_test[:, 0], X_lda_test[:, 1], c=Z)\n", "plt.title('KNN from LDA')\n", "plt.show()\n", "print neigh.score(X_lda_test, y_test)\n", "\n", "neigh = KNeighborsClassifier(n_neighbors=2)\n", "print 'running knearest neighbor on PCA-transformed data'\n", "neigh.fit(X_pca, y) \n", "Z = neigh.predict(X_pca_test)\n", "plt.scatter(X_pca_test[:, 0], X_pca_test[:, 1], c=Z)\n", "plt.title('KNN from PCA')\n", "plt.show()\n", "print neigh.score(X_pca_test, y_test)\n", "\n", "print 'running decision tree on LDA-transformed data'\n", "tr33 = tree.DecisionTreeClassifier()\n", "tr33 = tr33.fit(X_lda, y)\n", "Z = tr33.predict(X_lda_test)\n", "plt.scatter(X_lda_test[:, 0], X_lda_test[:, 1], c=Z)\n", "plt.title('DT on LDA')\n", "plt.show()\n", "print tr33.score(X_lda_test, y_test)\n", "\n", "print 'running decision tree on PCA-transformed data'\n", "tr33 = tree.DecisionTreeClassifier()\n", "tr33 = tr33.fit(X_pca, y)\n", "Z = tr33.predict(X_pca_test)\n", "plt.scatter(X_pca_test[:, 0], X_pca_test[:, 1], c=Z)\n", "plt.title('DT on PCA')\n", "plt.show()\n", "print tr33.score(X_pca_test, y_test)" ] }, { "cell_type": "code", "execution_count": 107, "metadata": { "collapsed": true }, "outputs": [], "source": [ "#### XRMB DATA - load and preprocess ####\n", "#XRMB contains two views of speech: articulatory and acoustic, each predictive of the labels, which are phonemes\n", "scaler = preprocessing.StandardScaler()\n", "mfcc_features = scaler.fit_transform(preprocessing.normalize(np.transpose(JW11['MFCC'])))\n", "articulatory_features = scaler.fit_transform(preprocessing.normalize(np.transpose(JW11['X']).astype(float)))\n", "phone_labels = np.transpose(JW11['P'][0])\n", "\n", "n_samples = mfcc_features.shape[0]\n", "n_mfcc_features = mfcc_features.shape[1]\n", "n_articulatory_features = articulatory_features.shape[1]\n", "\n", "permutation = np.random.permutation(n_samples)\n", "X1 = np.asarray([mfcc_features[i] for i in permutation])\n", "X2 = np.asarray([articulatory_features[i] for i in permutation])\n", "#Y = np.asarray([binarized_labels[i] for i in permutation])\n", "Phones = np.asarray([phone_labels[i] for i in permutation])\n", "\n", "train, dev, test = 25948, 40948, 50948 \n", "\n", "#two views of data, X and Y\n", "X1_tr = X1[0:train, :]\n", "X1_dev = X1[train:dev, :]\n", "X1_test = X1[dev:test, :]\n", "X2_tr = X2[0:train, :]\n", "X2_dev = X2[train:dev, :]\n", "X2_test = X2[dev:test, :]\n", "#Y_tr = Y[0:train, :]\n", "#Y_dev = Y[train:dev, :]\n", "#Y_test = Y[dev:test, :]\n", "\n", "#labels\n", "Phones_tr = Phones[0:train]\n", "Phones_dev = Phones[train:dev]\n", "Phones_test = Phones[dev:test]\n", "\n", "#\"core\" features of the time series data\n", "baseline_acoustic_tr = X1_tr[:, 118:157]\n", "baseline_acoustic_dev = X1_dev[:, 118:157]\n", "baseline_acoustic_test = X1_test[:, 118:157]" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "score of LDA on view 1: 0.5198\n", "score of LDA on view 2: 0.5804\n", "pca view 1 explained variance ratio: [ 0.0901229 0.06777988 0.06031566 0.05208485 0.04815885 0.04424586\n", " 0.04059334 0.03766653 0.03589603 0.03291267 0.0307196 0.02789757\n", " 0.02663582 0.02363518 0.02145113 0.02089129 0.02036688 0.01931787\n", " 0.01840717 0.01728466 0.0158446 0.01377826 0.0129433 0.01200754\n", " 0.01164998 0.01147664 0.01050254 0.01021653 0.00889549 0.00832286\n", " 0.00740371 0.00724193 0.00613322 0.00550447 0.0052491 0.00480796\n", " 0.00455636 0.00440542 0.00406726 0.00360614]\n", " and avg likelihood: -161.243057418\n", "pca view 2 explained variance ratio: [ 3.11045032e-01 1.83471493e-01 1.41280977e-01 1.01883731e-01\n", " 6.64548783e-02 4.90957778e-02 3.73799225e-02 2.60076135e-02\n", " 1.72954026e-02 1.25367358e-02 9.03381256e-03 7.48737775e-03\n", " 6.67111199e-03 5.30885977e-03 4.42738079e-03 4.06874283e-03\n", " 3.41951357e-03 2.08528465e-03 1.94711067e-03 1.43525380e-03\n", " 1.35367163e-03 1.07657714e-03 1.05875467e-03 7.93740747e-04\n", " 6.20871458e-04 5.53444898e-04 3.67436932e-04 2.78245370e-04\n", " 2.18828400e-04 2.04345507e-04 1.53346108e-04 1.20435368e-04\n", " 1.12820632e-04 8.11130863e-05 6.62491029e-05 5.96398651e-05\n", " 5.29870371e-05 3.99024138e-05 3.91040462e-05 3.26955920e-05]\n", " and avg likelihood: 141.837614188\n", "running knearest neighbor on raw data\n", "0.8085\n", "running knearest neighbor on LDA View 1\n", "0.7777\n", "running knearest neighbor on PCA View 1\n", "0.8192\n" ] } ], "source": [ "#apply dimensionality reduction to XRMB data\n", "from sklearn.neighbors import KNeighborsClassifier\n", "from sklearn.decomposition import PCA\n", "\n", "n_comps = 40\n", "#LDA on View 1\n", "lda = LinearDiscriminantAnalysis(n_components=n_comps)\n", "X_lda1 = lda.fit(X1_tr, Phones_tr).transform(X1_tr)\n", "X1_lda_test = lda.transform(X1_test)\n", "lda.predict(X1_test)\n", "print 'score of LDA on view 1: ' + str(lda.score(X1_test, Phones_test))\n", "\n", "#LDA on View 2\n", "lda2 = LinearDiscriminantAnalysis(n_components=n_comps)\n", "X_lda2 = lda2.fit(X2_tr, Phones_tr).transform(X2_tr)\n", "lda2.predict(X2_test)\n", "print 'score of LDA on view 2: ' + str(lda2.score(X2_test, Phones_test))\n", "\n", "#PCA on View 1\n", "pca = PCA(n_components=n_comps, whiten=True)\n", "X_pca1 = pca.fit(X1_tr).transform(X1_tr)\n", "X1_pca_test = pca.transform(X1_test)\n", "print 'pca view 1 explained variance ratio: ' + str(pca.explained_variance_ratio_)\n", "print ' and avg likelihood: ' + str(pca.score(X1_tr))\n", " \n", "#PCA on View 2\n", "pca = PCA(n_components=n_comps, whiten=True)\n", "X_pca2 = pca.fit(X2_tr).transform(X2_tr)\n", "print 'pca view 2 explained variance ratio: ' + str(pca.explained_variance_ratio_)\n", "print ' and avg likelihood: ' + str(pca.score(X2_tr))\n", "\n", "#apply both PCA and LDA dimensionality reduction techniqes to the data set and then attempt\n", "#classification by KNN, for instance, to see which reduction technique is most effective\n", "\n", "#baseline KNN for view 1\n", "neigh = KNeighborsClassifier(n_neighbors=2)\n", "print 'running knearest neighbor on raw data'\n", "neigh.fit(X1_tr, Phones_tr) \n", "neigh.predict(X1_test)\n", "print neigh.score(X1_test, Phones_test)\n", "\n", "#KNN on LDA transformed data; view 1\n", "neigh2 = KNeighborsClassifier(n_neighbors=2)\n", "print 'running knearest neighbor on LDA View 1'\n", "neigh.fit(X_lda1, Phones_tr) \n", "neigh.predict(X1_lda_test)\n", "print neigh.score(X1_lda_test, Phones_test)\n", "\n", "#KNN on PCA transformed data; view 1\n", "neigh2 = KNeighborsClassifier(n_neighbors=2)\n", "print 'running knearest neighbor on PCA View 1'\n", "neigh.fit(X_pca1, Phones_tr) \n", "neigh.predict(X1_pca_test)\n", "print neigh.score(X1_pca_test, Phones_test)\n" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": false }, "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": "2.7.10" } }, "nbformat": 4, 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