{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# KL Divergence" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "ExecuteTime": { "end_time": "2021-06-29T10:04:44.720517Z", "start_time": "2021-06-29T10:04:44.716976Z" } }, "outputs": [], "source": [ "from sklearn import manifold, datasets\n", "from scipy.stats import entropy, pearsonr\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from mpl_toolkits.mplot3d import Axes3D\n", "import random" ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "ExecuteTime": { "end_time": "2021-06-29T04:50:20.248107Z", "start_time": "2021-06-29T04:50:20.242784Z" } }, "outputs": [], "source": [ "\n", "# Next line to silence pyflakes. This import is needed.\n", "Axes3D\n", "\n", "n_points = 1000\n", "X, color = datasets.make_s_curve(n_points, random_state=0)\n", "x, col = datasets.make_swiss_roll(n_points, noise=0.05)\n", "\n", "X1, X2, X3 = X.T" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "ExecuteTime": { "end_time": "2021-06-29T04:48:43.362255Z", "start_time": "2021-06-29T04:48:43.157176Z" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Create figure\n", "fig = plt.figure(figsize=(8, 8))\n", "\n", "# Add 3d scatter plot\n", "ax = fig.add_subplot(111, projection='3d')\n", "ax.scatter(X[:, 0], X[:, 1], X[:, 2], c=color, cmap=plt.cm.Spectral)\n", "ax.view_init(4, -72)" ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "ExecuteTime": { "end_time": "2021-06-29T04:50:39.750070Z", "start_time": "2021-06-29T04:50:39.578453Z" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Create figure\n", "fig = plt.figure(figsize=(8, 8))\n", "\n", "# Add 3d scatter plot\n", "ax = fig.add_subplot(111, projection='3d')\n", "ax.scatter(x[:, 0], x[:, 1], x[:, 2], c=col, cmap=plt.cm.Spectral)\n", "ax.view_init(4, -72)" ] }, { "cell_type": "code", "execution_count": 24, "metadata": { "ExecuteTime": { "end_time": "2021-06-29T04:51:51.192721Z", "start_time": "2021-06-29T04:51:51.047517Z" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.plot(X1, X3, 'ro');" ] }, { "cell_type": "code", "execution_count": 60, "metadata": { "ExecuteTime": { "end_time": "2021-06-29T05:16:45.802892Z", "start_time": "2021-06-29T05:16:45.796310Z" } }, "outputs": [ { "data": { "text/plain": [ "(1.0, (-0.08697318258913389, 0.005921261651160034))" ] }, "execution_count": 60, "metadata": {}, "output_type": "execute_result" } ], "source": [ "normalized_mutual_info_score(X1, X3), pearsonr(X1, X3)" ] }, { "cell_type": "code", "execution_count": 38, "metadata": { "ExecuteTime": { "end_time": "2021-06-29T10:27:03.238758Z", "start_time": "2021-06-29T10:27:03.234650Z" } }, "outputs": [], "source": [ "def processNegVals(x):\n", " x = np.array(x)\n", " minx = np.min(x)\n", " if minx < 0:\n", " x = x + abs(minx)\n", " \"\"\" 0.000001 is used here to avoid 0. \"\"\"\n", " x = x + 0.000001\n", " px = x/np.sum(x)\n", " return px" ] }, { "cell_type": "code", "execution_count": 95, "metadata": { "ExecuteTime": { "end_time": "2021-06-29T07:10:30.860076Z", "start_time": "2021-06-29T07:10:30.855228Z" } }, "outputs": [ { "data": { "text/plain": [ "0.9820849486320271" ] }, "execution_count": 95, "metadata": {}, "output_type": "execute_result" } ], "source": [ "entropy(processNegVals(X1), processNegVals(X3))" ] }, { "cell_type": "code", "execution_count": 39, "metadata": { "ExecuteTime": { "end_time": "2021-06-29T10:27:05.126236Z", "start_time": "2021-06-29T10:27:05.122464Z" } }, "outputs": [], "source": [ "def KL(P,Q):\n", " epsilon = 0.00001\n", " P = processNegVals(P)\n", " Q = processNegVals(Q)\n", " # You may want to instead make copies to avoid changing the np arrays.\n", " divergence = np.sum(P*np.log(P/Q))\n", " return divergence" ] }, { "cell_type": "code", "execution_count": 94, "metadata": { "ExecuteTime": { "end_time": "2021-06-29T07:10:26.764760Z", "start_time": "2021-06-29T07:10:26.760376Z" } }, "outputs": [ { "data": { "text/plain": [ "0.9820849486320271" ] }, "execution_count": 94, "metadata": {}, "output_type": "execute_result" } ], "source": [ "KL(X1, X3)" ] }, { "cell_type": "code", "execution_count": 109, "metadata": { "ExecuteTime": { "end_time": "2021-06-29T07:22:19.993685Z", "start_time": "2021-06-29T07:22:19.988914Z" } }, "outputs": [ { "data": { "text/plain": [ "0.9820849486320271" ] }, "execution_count": 109, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Kullback-Leibler divergence is basically the sum of the relative entropy of two probabilities:\n", "\n", "import scipy\n", "vec = scipy.special.rel_entr(processNegVals(X1), processNegVals(X3)) \n", "kl_div = np.sum(vec)\n", "kl_div" ] }, { "cell_type": "code", "execution_count": 80, "metadata": { "ExecuteTime": { "end_time": "2021-06-29T07:07:47.020366Z", "start_time": "2021-06-29T07:07:46.869022Z" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.plot(x[:,0], x[:,2], 'ro');" ] }, { "cell_type": "code", "execution_count": 82, "metadata": { "ExecuteTime": { "end_time": "2021-06-29T07:07:48.968491Z", "start_time": "2021-06-29T07:07:48.963495Z" } }, "outputs": [ { "data": { "text/plain": [ "0.6193061278370542" ] }, "execution_count": 82, "metadata": {}, "output_type": "execute_result" } ], "source": [ "KL(x[:,0], x[:,2])" ] }, { "cell_type": "code", "execution_count": 83, "metadata": { "ExecuteTime": { "end_time": "2021-06-29T07:07:49.624220Z", "start_time": "2021-06-29T07:07:49.619238Z" } }, "outputs": [ { "data": { "text/plain": [ "0.6193061278370544" ] }, "execution_count": 83, "metadata": {}, "output_type": "execute_result" } ], "source": [ "entropy(processNegVals(x[:,0]), processNegVals(x[:,2]))" ] }, { "cell_type": "code", "execution_count": 108, "metadata": { "ExecuteTime": { "end_time": "2021-06-29T07:21:43.370534Z", "start_time": "2021-06-29T07:21:43.365126Z" } }, "outputs": [ { "data": { "text/plain": [ "0.6193061278370542" ] }, "execution_count": 108, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Kullback-Leibler divergence is basically the sum of the relative entropy of two probabilities:\n", "\n", "import scipy\n", "vec = scipy.special.rel_entr(processNegVals(x[:,0]), processNegVals(x[:,2])) \n", "kl_div = np.sum(vec)\n", "kl_div" ] }, { "cell_type": "code", "execution_count": 75, "metadata": { "ExecuteTime": { "end_time": "2021-06-29T10:37:40.145116Z", "start_time": "2021-06-29T10:37:39.976620Z" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "n_samples = 1500\n", "noisy_circles = datasets.make_circles(n_samples=n_samples, \n", " factor=.5,\n", " noise=.05)\n", "\n", "c1, c2 = noisy_circles[0][:,0], noisy_circles[0][:,1]\n", "\n", "plt.scatter(c1, c2);" ] }, { "cell_type": "code", "execution_count": 73, "metadata": { "ExecuteTime": { "end_time": "2021-06-29T10:37:25.068658Z", "start_time": "2021-06-29T10:37:25.062631Z" } }, "outputs": [ { "data": { "text/plain": [ "(0.3705245581961967,\n", " 0.3705245581961967,\n", " (0.0009233483083248371, 0.9714965955817252))" ] }, "execution_count": 73, "metadata": {}, "output_type": "execute_result" } ], "source": [ "KL(c1, c2), entropy(processNegVals(c1), processNegVals(c2)), pearsonr(c1, c2)" ] }, { "cell_type": "code", "execution_count": 76, "metadata": { "ExecuteTime": { "end_time": "2021-06-29T10:37:44.571744Z", "start_time": "2021-06-29T10:37:44.432079Z" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "noisy_moons = datasets.make_moons(n_samples=n_samples, noise=.05)\n", "m1, m2 = noisy_moons[0][:,0], noisy_moons[0][:,1]\n", "plt.scatter(m1, m2);\n" ] }, { "cell_type": "code", "execution_count": 77, "metadata": { "ExecuteTime": { "end_time": "2021-06-29T10:37:48.865672Z", "start_time": "2021-06-29T10:37:48.860389Z" } }, "outputs": [ { "data": { "text/plain": [ "(0.64323091348723,\n", " 0.64323091348723,\n", " (-0.44759555499930603, 8.659194606811307e-75))" ] }, "execution_count": 77, "metadata": {}, "output_type": "execute_result" } ], "source": [ "KL(m1, m2), entropy(processNegVals(m1), processNegVals(m2)), pearsonr(m1, m2)" ] }, { "cell_type": "code", "execution_count": 78, "metadata": { "ExecuteTime": { "end_time": "2021-06-29T10:37:50.213069Z", "start_time": "2021-06-29T10:37:50.078056Z" } }, "outputs": [ { "data": { "image/png": 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G5jsfUyeZtqltMeGbbUdx0Zh8fHnLFMXOO3NYD4zu7Zo4wznHkpJK2ZQwfa23jO+bKek5uou++L79/aikx45E9OndgiDOoM+s4xUT+jgfd5ipMUfLCJHoqQNzkGJUVvYnXjQe7FgQ6yZdQVA+FCN1JU1CnAE3TesPALj1wy2obqZctz8i1nHrVe9XPPapTaPVMYQdwXFnqjDNRTzX8cUV0jfGiPEVcXMZ+kXnjnc142i1MkwrRKzjVrOTLVRKHp/hfCz+QG47XI/GdhrBplUaHDMfu4Uha9pVYhS8vn1F3D3SQ9fgDgQT1eZEQ218V4hYx+3J0pJjWKliI867v5R1+pz4Nlscca87UINL3lwnq11E+LiGJyivjtw9PcFtsrqceDru5y8e4ZaqkQrxd5GNPLdfokaP+6YPfgMAlC+Yo+h5q5o6MO7vK4PeP8Fj0OruyibUtpiQmUzDVbVGi0MDR845k50RZ4jB/26ajA0HavDwlyXYd0K+MroWD60fuZyqWHNlQ1kt+mQly3KeSCBqIm61EMY7eXLFhN4AgIF5KQBcKZIEH0L5ni3yhDZo7bBHonJLufpjQr8sXCyqRJKDVo8ct1wL/2KVzPs+/V2Wc0QKURNxq0V9q3cN7DMXDsel43rjgdlDEOtYRP3hL6fjRFO7W45bQIuytIQrEvUcbqA0547shae+tytMcs4lX99pFznU0wfl4Oyh3SU9vgBd58FDEbfMCAtYAk+eexIuHWePtlOMsc4Iu3t6Ak7O7+bzQ6fXCplIp9VkRUJcjOr/P3lpCXjI0RDT4mMhsauIHeriq8bJltMf2iNNluNGIuS4Zaa+1eW435o3BvMmFYZ8jK+3HcUDn2+niERjtJosSFY52hZIS7Tb0dgmfRWS2ZF7PmNwbtijyoJBzmNHGhHtuB+cPRinDVJ+yrxAY7vZOUQWACYE2W1W/PCZOHeku9TlRxsPobicJF+1gsVqw46jjUhLVL4U0BdpCXY75CgfNVttMMQwvP2nsZIf25OrJxfKfo5IIKId9w2n9sfs4T1UO/+JRvfur25BNmpkpxh9TvO2UomUZvi+pBJbDtXjpmn91DYFAJxfII1t0soBVzV14I01+2G1cUUi4hEF6bKfIxKIaMcNADOHybOQEgzikWkvXDwipNf6+pDIJIlMhMG+400wxDBcMFreio5gcUbcEqdK1h2okfR4gahppgHawRDxjjstIQ6vXDZSlXOLo58Lx4T2AY/15bgp4tYMZdUt6NktAXEaETNz5rglTJWs2XMC6/bbHfe9Zw+U7Lj+GFHQTZHz6B1trKzIjFgpUI5yqc6oag5f/MdXSzOlSrRBm8mq2GT1YEmVIeK+5l8uiVWl7izGFUqrOhipaCNckBnxApJFwcqMLYfszTfZKaF3PfqMuKmqRBPU+qjNV5vUBCHituBEY7tbmk4KfK25EOoRFY57Yr8s52Nxd5bcbCqvQ+/MJKy6+7SQX+urNpjKAbWBoFz3Z8fUFi0QZ4hBUrwBjW1mjH9qFeYt3hj2sZo7LHhDVA2VnWJURUiL0x1mp0SF4zbEMDx6jn0gqRKOu77VhJ/3VWN3ZSMuHJ2P9DAuel+OO5L8dklFAwrv/w7rRYtfdS0mbD5Yh4Vr96tomX/MVhtecsioau223sY53v7ZLma2+WCdV/NXsDyzZDeeW7bH+fsT556kitomBSqdExWOG3AJz4uFbORgY1ktRj6xAlcu3gDOEbaCm2/HHTkX8sYye0360hLXeLZRT67AhQt/xTNLd2t29uC3vx915reNcdr6+Nx6epHb7w98Hp7ex97jTW6/C2PFlOK+mYMAKJvW1BvauvJkRFiglHuqzCNflrj9Hu6IJ5+LkxF0IQvCTO1mK9rNVvzVQ1To0rfWq2FWQMS5XiU1sYPh1jMGuKlLHqgKb/RdTqrR7ffemUldsitU4mLsf4NZ5iBLz0SP43ZG3PJO1jipp0tv4X83TUJsmOVi54zwbhzytWCpVwQH2Ga24rPfjuC/xYfdnq9u7sBHGw+pYZpfhOoNAD4FwdQmK9nldMO9QROnWM4d2VNxSWFBfdBijZxARWq0d+XJhPAh65A5x/3L/moAwE3T+ncpB1qUm4ryBXOw7M5T8cS5J8EQw7C9okEqM1VDyG1XNtpLJb/aehQPfVHic98HPt+Ou/+7FQ9+sV1JE/0ivuvRouMWD901WW049dk1Ia8ZVIuaYGacpHwDmxDsmG02lFe3oMNCY8w80d6VJxPOiFtmx33c0eZ+/6zBkhxvUPdU/GlSIaYWZePTzUdwsEbfk9+/2loBAPhyS4XbdvG8QTGfb6nAhxu0E3mLHbcv7XS1eflSV7OZyWLDodpWPLN0d0jHqG1xSTV0U0GLRXhfX1qxD6c9vxYPfK6dL26tED2O22C/GB7+sgQlMkWuTTLOh7x9+gC0m62455Ntsp1DCYQv0N2V7gtgZwzOU8OckBE7bjnGd3WVAlE+2nPg7osr9mJ3ZaPf19/y4W/O4AOwBw5KI+TYhVTZz/uqFbdB62jvypMJx3oHdhxtlC13erwx/E7JQIzpk4G543vj9yMNitaiS83aPVU+t+slfS+udMhQYbp7KNSLctVtJiteXbUPFy30nmG64UANDte2AgC+8+gIzUoxeu0vN7kei6Na/IIMhv1VzSg90RR4xzCIipZ3wH2hxrPcSSqONcjnuAHg5PxuMFlt2F3ZiJPz9afp0NBmxo6jviM+PWgxt3RYsGDJLgDAm1eO0fwcUPHdwYFqe3ml55f+++sPOiuhxJKqL106AuePUkdAK1Ic92Nf70BTuwVf3jJF8mPr8x0Jg8n9s/CPK0Zj3sQ+KKlohEWGUiP5Hbdd8nJbJ3MstY6/6jmtldb5YklJJcpr7JFpUW6KytaExoqdxwF49wKIy1ff/bXc+VhcnaI0nncyeqmmMlttbl+WNs5lm44UNY6bMYbZw3tgdJ9uaDNbsaSkEq+u2tfl4+6pbEJNsz0neFxmx52fkYjM5HgsKanUZbrEX3laoOu78P7vsGBJaItsUiPW/1B7XJk/ltxxilc7/ssr7dd6sEJlat5NeN59yV0JJgWccwx4aAmu/pdLasBmAwwyBSRR47gFhBTDbR9twYsr9not4IQC5xwzXv4Rly6yN4scldlxM8ZQlJuCX/fXaKpELlg+3XzEa5sgwBXDGN64fDT65yR3+vo3f1C3FV78ZZkVhnCYUgzpkeamzwMAc0629wVwDmwqrw1YYpetQm67M7ryGVWKt3+ySw38JFpItXLu9y6zK0Sd4+6blYxU0bDTHUfDrzAR5kmWnrDnDzeUyS86L3Sxrdp1XPZzSc2T3+702vbJjZMwe3h3jC3MwJyTe2DVPadhgEbTEGZHQ8iuJ2Y6BxdolViDu8cQD+K9+M11eOIb7/8LMRnJ2vn79BBxL3ZoxIix2TSWKmGMXcIYK2OMlTLGrpXaKDmJiWEYnu8aj3ThwnVoaA2vjO+QYyU+KzkepSeawm4xDoVeDt2IulZz2HZriX45KfjHFWNgjHXVRH97+1QVLeocoQU7zqDdNImAZ1443aMeu7NFYgHx/4fa6CHi9hT02lPZhLLqFu04bsZYKoAXAEx1/DzFGFNvIm8YeFZkjHhieVgSkoLj7pWR6CaWJCcje7tsv+8zfdd0d4Y/p/H+unLc/tEW5YwRUdtiQlK8QdP5bQGxrM03t071WvDberg+bPVAJdj00JnOx+0y6wtJQZvoy8VitWHGyz+ipsUk26J7OOWAMwD8wDmvAADG2GoA0wF8LKVhcjIwz/tW3GrjXreXgRAcd1lVCz7/rQKje3fDhH5ZyM+QT03t9EG5zseVHsOIo4FHvtoBAHjlspGKS40eqWtF78wkVSROQ0WIUs8amofh+ek+R5qNeHy5z9eeMiBbVtuCISfViNSEWDS12xeElZxc1VV+KnXlueX6jg8nVVIA4KDo9yMA3BSRGGM3MMaKGWPFVVW+Gy7UJD/DW+2sLYzbMaFpoanDggPVLZg5rDv+OnMwrpjQp8s2BkNrh7RTTvSE1NPM/cE5x6NflWDlrhM+rx0tIjhuoX08lEEIF4/1LT+gNGIlxls/VOcuKxw+LXYtwqfJJBkQjuOOByC+d7EBcPN6nPNFnPOxnPOxOTnay6IUZHpHxL4qHgIhRNwCSgvytJq0n/vzRYqx631fVc3K3W1UNXfg3+vssYqva0eLCA6jKMd+d9kthC7PJI1osIzu7dKyFwoA9IBQMw8A/XPkWWgPx3EfA9BL9Hs+gMOd7KtJclMTvLaFE3HXtrjPHuyT1XkpmxxIPVdQKaYNtH+ZTx+c2+k+s4Z1x7VTvEeDCeWDNQo67n3HXU6jQCcR92kDc7D4qrG49Qz7cAXPbkR/JMVrw3G/eOkIfHj9BEwfnIs9x5tQUd+mtklBIR7W0s9PeWtXCMdxLwMwgzGWyxjrDmAyAN/JMo1iiGG40GNqtTVE7V/OuZtQ0iN/GCqJbaGg14h76oBsbHhwOhZfPa7TfRZeOQZXTuzttV2QHBVLj8qNWCKhQOGhAuHCGMP0IXnOhdS4EHThEzXiuJPiYzG5fzbKqu3VWlMWrNZksOLZhS1e49JMxM05Pw7gIQDrAPwC4B7Oue60Rv9+/jC330Mdk+QplqTGsoke6lvrW02YsmC1W2u1yWJDXpr3XY8nSfGdp1RaFMzvC44D0E+qxBfb/nZ2UPtpxXELiK/zLzzkgNXmuWW78dEm94TDGaI7SbmmB4VVx805f5dz3t/x84XURilBQpwBI0T13KGOBatpUS7i0zPLdx5HRX0b3l/vWs8O1jEITSDnj+rl9Vy7QuL6nHN3x62TVIkvfA2tvmqSayG9p2MIQ1KctrTnxPoqWhvf98aa/V7jCueOd90pJkuwnuOLqOucFCPWbXjnF+/OJ394NgXItXocCCUjz3DwVcfqmabqDGOsAWVPz8YDPoZStCmUJvp08xG3Nma5PohqcNO0/nj83GFe20Mti5Ub8d2wHsaZ9eyWiG9unYpnLhwu2zmi2nGLnUqryRpSJ6Kn485LU0fb4aRHl+GTTdpdG/bs2ANCE2hijCHJh7P8/Ddlbpn/IhpinKCxqe5dpTDLfvdw46n98OrcUbhv5mAwpq7AlC/EUbbFpp304CsrfYvUpSXEYnh+Oi4d571GIxWREz6EgeeCTVlNC0YmdUNFfRvSEmLdBsOKaWgze01w6R5EzlYuVu46jkvGaaP21hMpFpOS4w0YX5iJjeW1GNw9Fbsrm7BHJk11f5Q8NkPxc0rNtkfPhsliw9KSY8567QdmD3E+f56PtJTamEU57lDXouTkpZV7nY9jmKtbVYlGocgKIULEU8/hvDd+wXe/H8OUBatx8Zvek0IEznrxB7e670n9shStNhjTJ8Ptd602lNW2mLB694kuH4cxhgdm29MlRhVrjGNDqMzQKumJcchJNWLepEJdtO4DQJ5oALJWUyWhVO1Igf6vxC7ga7LGLR/+BsB7JqKYE03uNcQf3TBR0cGxn908Gc9ddLJi5wuXa/61EV9tPSrJsQRlPqMhBheM7iWrrAChLR49x1Vqq9V01bjCTOSlGfHZzZMUOZ823wWF0JICWqhofd4hAGw7It1QZqcyXyyDMdagi1JIQhpOGZCDXU/MBADIMLhKElITYrHhwTMxpk+mIueLasedYtSv4w5Fe0ItfI2cCraixBNhiEGcIQb7q5pR1dSBSpkHV4gZX6jMB5LwjdFxd6xViVfP9KXcRLfjTvC/NvvB+oM4XNvqnLxi75Z01zFWK08odtzLdmhzqIJn6dyUoiy8cMmIsI4llFsOzEvFxrJaAMD873bCptBi1cN/GBJ4J0I2YmIY4mNjnGqBWmLWsO64xoc8g5xEdVVJoJrch78sQW6qESeaOnDp2AJsr2jAn97Z6LbPt7epI/rvKRq0v6pZtvbacMlKiXdqPpf+fVaXtInH9MnAe9eOx6T+WVj04wEAwLe/H8Pk/tm4fIJ8ZVcC9REwtELvmCw2vPNLGe6bOUjRNSUxNhsHh3vAdtsZAxQP4KI64r4yCPlVYSEyhjEvIapZw7pjiGgklJJ41kfXt2qvk1MsVhRriPEaAhsqpw7MQZwhxk0XpsmHzkvODZkAABc9SURBVLQcaK0NPJpR80v0sn+uR/8Hv3e77pJVSLlGteMuyExC+YI5Qe1r4xzxHiU/ZhVLkzzLj7Q4JUSu0i3xBPOnl+zGTe9vluU8YsZRjlszvL++XLVzC2m6gzUuSWc1vtSj2nGHgo1zL50Es4aWuBs1OIZKkLcMRVI0WJJFH5alO+QZG3eiUbnFTyJ43lizX20T3PRrkv2IockFOW4Rg7undvrcj/uqcN17xQCAeRPtKRYttd/WaTAHa7FyzBneAz//9QzJj+1PElYqft1fAwC43aFpTWiHcGbESsknxS6ZiUQV8u3kuEW8OndUp8/d9V/XYF5BHF3NVAng0poAgGMNbYpVWASLxWpDUrzBZ6NTV/FcnDLJUNdd5VjfuP7UfpIfm+gaJRX+p9TLjVh4rKtrN+FAjlvEwLzOI24xgsbupH5ZcpoTkNunD3A+fm11KV5d7Vv0Rg12Hm3E0YZ29MlSRgrgUK30kvBCqkeOLx6iaxzXQBqLMeAvMwapcm66IgF88OcJeNbRQp7ViTLa+L6uxak+Wcn46b7T3RynGlzg0cyytESeXG+ofP7bEcx+9SckxMVg3qRCRc4px82G0J3puShNqE+tBqqoLhlTgFtOVyeNRlck7KO0LnEopW1+5Cy35y5wqKVliuqmDTEMBZlJmhPpGeQnR68kd39iTysVZiX7lHWVgoKMRIztk4F+2fa0lRz63K877mCUUHsjAjNrmGsYt+e8VzVQS8oZIMcdEKHRRdxl6auVWwvI5STDRU7FxKwUIz69eTLmO0bQST1/s91slSWKJ8Jn4ZVjnI/VSJXsPOrKq782dxSunapst6QYctx+yE01Okv+UkRdlj3S1dPe7owe6Qma0HEQl0wqMeZLWNGX6m9vN1tR09yBDg3WxRMulNKpsdk4ft1fDc45bvyg2Ln9nBE9vbqXlSSqW94DMbhHmrPkL1UccWsw55kQZ0CbBpxN/we/dz5W4gtOGCjs2dUaLle9sxEbymqdKTJCmxxTyHG/v/4gHv16B96aN0ZxzW1/aMcSDSH+0Jos9gjS38RxNclKjseUoiy741ZoDmOwZKfKH5EIEbdUqZINjs64zzU2TZxwp6alI/BOErDvhF2X/3hjO7KT1ctpe0KO2wd3nTUQADBneHdnxJ2basRZQ/Pw0fUT1TTNi82PnIX/XDcRiXEx6FBo8nlneDZFZClwoQvtxlJF3IS2WXLHKeidmYSKuja8tGKv7N3LYjlhNTRJOkObYaTKFGQmYfeTM5EQZ0CfrGR8tfUoJhdl4cIx4WlJK4EWIm7PhiQlhs46HbcEsy19cT6lTDTFkB5puGhMPl5csRevrNqH/IxE5+xMORCu6XhDDFo6tBMcUMTdCUJn3sR+WShfMAc90rU9KisxzqB61On5xaGEcmJSnAExDGhqt6C6Wdrb5zF9MvDSpSMlPSbRdTJEAYHcw4NNzslLMaiobwMAZKeoP32KHHeEkJEcr3pt6+E6l2LaK5eNVKTOPSaGISMpHq+tLsXY+SuxqbxWktvn3plJ+ORGZeYHEqGRIRoiYpE5VSJMmH/v13JU1LfhzjMHYNNDZ8p6zmAgxx0h5KYaUdXUoapeibCQAwAjC7opdt4a0RfWxW+uw7NLd4d8jDqPLz2rjWuuwYqwI563KvfsUSHiLj5YB8B+J66Fhixy3BFCXloCLDauaivw3uPNzse9ZWy+CcTPpTXYdawx6NruNXtOYNSTK5ydkoD8DoEIH/HYPpPcEbfH8acPzpX1fMFCjjtCEDSvx85fiffXH1T8/A2tZixc69JJVjMqaemwYNYrP+HadzcF5bwf/qIEAPD88r3ObUW5ybLZR3QNcTOc3I1SZov7HeyAIIXo5IYcd4SQm+ZqdnnkyxLFz78gjPSEXAjt0L/ur8H17xUH2Nuu8ubJE+cOk9osQiJ6dnMVCsheDqihYSliyHFHCJ5TZpQWmm9UaPajL3I8/najSIZVrJvcGb7eqmAlfgnlEXcwyn1jp6UpV2LIcUcIuR5KZUpHCnKv7vvjOofYz575MzF3fG80trvXdMsxZIHQBjEye261S2w7gxx3hGCMNaB/jisv225S1lmpqZNy47T+KF8wB8ZYg0+pzYEPL0FVUwfazVavOZKccxxraFPKVEJiDlS1yFpJpVWxMXLcEcRfZw52Pm41y9NJ2BmpRm004eam+ha2evfXMlz/XjHGP7XKbfu/fikn+VYdcsWE3gCA77Yfw9NLdsl2HspxE7KTLcr1lle3+tlTempbTBhXmKHoOX3R2UT5vLQEZ75b3OG5dm+V176r75kmj3GEZDz+x5Ocj9/5pVy282g1zUaOO4LISXE5rT//e5Oi565rNSEjKR4LrxiNZXeequi5xaQn+R4m0STKe1c3uxqVzKIP5pAeaZh/3jD0y0mR10iiy4illa02jmU75BnbF2dQv9nGF9q4vyUkQVxdkZag7DSc2hYTRhZ0w6zhPRQ9ryedjW97btke5+P/bT6CV1fZm23E3ZGL5o2RdWoPIR83vr8Z5QvmSH7clg4rrpvaF2//XIZzRvSU/PjhEnbEzRgbIaUhRNcRhLEA4IwhynR4dVis2FPZZI+4FVADDERaQlzA0XIfbTzkfGylBLdueeFieV1QS4cFbWYrslKM2PH4DLx0iXZcXsiOmzF2D2NsP4DNMthDSIRSq+HPLNmDGS//CLOVu4n/qIlnXbcnnXVT1reqV4tOhM6FY/JlnVQkqE3mpBqRbIzV1OSrcCwpBjBeakMIaVlScgzf/X5M9vOIhaXG982S/XzBEEjVrzPdcmFoBqEfsmSUWBUctxZkXD0J2XFzzn/gnNfIYQzRdXo52oFbTVbc8uFvsp8vP8PVfqykIqA/CjKT8MLFI3DJWNfgC3EuuzMN56E95dcPJ6QlO0W+KUtVTa6IW2vIEvszxm5gjBUzxoqrqrzLrQj5WCUqZYtX4NauMMve9PPq3FGynysULhyTj2cvGoGBefYKke9un+p3/9MG5cAYq53RVERwZIkc977jTX72DB2n45bxyyFcAn6yGWNjGGOljp/ngzko53wR53ws53xsTk5O160kgka8QGmy2mTXLBF0I04dkC3recLl+9tPwb6/z8Lg7v6j6UALmoQ2EacxPt50WNJjVzWbwJgyI/hCJaDj5pxv5pwXOX7uVcIoomtsfHC68/FmhwC8XByotmtwM2jT8cUaYtxEiTpDbs0LQh7EqZLFP5dJeuyqpg5kJcdralFSQHsWEV1GLPEq9zizD9bbS+s49FlWd/bQPACgaTc6xTPH/fCX2yU57mur9uGjjYfQHilaJYyxhYyxUgAGR/rkNRnsIiSiRabp555oNeL2xd1nDcQX/zcZ0wfn4p6zBwEAZpzUXWWriHDwTGMIgURXeWGFfahGc4eymj/BEnLnJOf8ZjkMIeShuV3eC2/awBz8sLeq01ZzLbHy7mlIjDc4K28WXz0OALD7yZluawOEfoiPjc6kAbW8Rzie2tRSs7+q2Zlu0DpFub41SMhpE3ojOr+uogBhCkxDm3zdgIdqWnGkrg1TirRZUUJEB9v+dnaXj8G5XajK8/PSI923TLDaUMQdoaQlxqGqqQONMjruX/bbZVKnFGmjY5KIToxxXY8/+z7wPQDghlP74XxRG/0H103o8rHlgCLuCCXOUSXx8abDONHUHmDv8Nh9rBGpxlj0JxlUQkWMEua5GYAth+oBAM9eeLJmr21y3BEKE9Ul/1IaeGBuOLSZrUg2xrqdiyCUhjGGVy4bKcmxTFYbymtaEB8bg4vG5Ad+gUqQ445QxL70aL20Efexhjb0feA7bCyrRYIEt6kE0VX+KNLKXloS2lAFm407O2cb2swoq25Bn8wkxGi4tp8+dRGK2HEfqZN2GO7SkkpwDpTXtGJAnu/BBQShJOK7vps+2Iw5r/4U9Gsb281O4bHGNjPKq1tQmJ0c4FXqQo47Qnlt7mjn4zJHW7pU1DS7ujFnD6fGFUJ77DjaGNR+VhvHip3Hnb/XtZpxsLYVfclxE2owsqAb+mTZx3BV1EsbcQs6xQAwfYg+ariJ6KPD4lt3XczCtaX4y6e/AwBSE2Kxt7IJJovNqXqpVchxRwGHa+Vz3ErPtiSIzjjJQ0+9IogU4e5KlxTssJ7paHK0uBdmaXv2KDnuCEa8tGKTcLZidbO8wlUEEQ7Pe8ygPFTbGvA1YlXIkb1dg0Aox02ohnjB5qnvd0mmzS2OuAlCK/TPSXHTVT8chOMWL+KPyE8HYK8L756mzY5JAXLcEUyK0dUY+/bPZUFFIMEgLE4mksYHoSHiY2PQo5vL4R6s6fx6P1jTgoY2s9tdqRBlF2Yla7oUECDHHdG8NW+MW/vutOfWShJ1tzmmpCfGk+MmtEXPdNcMVH+ByrTn1uL8f/zidldakGHPaxdmazu/DZDjjmh6dkvE/POGuW0zWbsmDC9eqaeIm9AavUTDq0sqGvDKyn1oN1tRUd+GOo+hIgeqWtwi7mRjLCb1y8IpA7Q/bpFEpiKcZKP7f3Gbydqlobird51wPqauSUJr9Mm0pzsyk+NxtKEdL63cC7PVhtfXlCIn1YhND50Jiyh48ZRr+OiGiYraGy70yYsCnr5guPPx/4qPdOlYzy/f43x8wWjtajkQ0cll4wtQlJuC964d79x2vNEu+SBMbW81u+4aP/vN/nlI0lnajyLuKGDu+N7gHHjwi+34+/e7cP2p/cI+VrvZhgtG9cIT5w1Dss4udiLyyUtLwMq7p7lt+99m92CltcO7Mae7RnW3O4Mi7iihzRy4iywYGtvMSEuMQwqpAhIax1cqr91sxa0f/ua1XRhnpxfIcUcJYs3iYOpbPalrMWFjWS2aOixIT6RuSUL7DOru3kmZm2rEsh2VKD5Y57WvTaIeB6Ugxx0lXDquwPn4lGfXuC3QBMPlb2/AJW+tAwBy3IQu6JPpXtbHAdzx8Va3bcKwYZ35bXLc0UKcIQajRC29xxqC1+guPdGEXcdcamtp5LgJHXCZKFgBXIuTYoSZkhRxE5olOd61Fm0JQbvkhvc2u/0urNIThJaZXJSNdQ+c4XcfobVdQikfRSDHHUWIS55CiTA89x3bJ0MymwhCTnqkJ+K1uaMwd3xvAMCc4T3cnheqSaTS8VEKctxRhFHU6Tjv7Q2dDhHecbQBcxetR7ujEqXD4p4Pn9CPproT+uGcET3RZrLLtf7hZHfHnZNiBEARN6FhWhxawwBwtKEdi38q87nf377agXUHalBS0QDAPiWEIPTMbdMH4IZT++Gsoe6DP3o6ygD1luOmBpwooqHN7Pb7zmONaDVZkBTv+zIwWW14Zulu1LSQ/jahb/rnpODB2UPctq28exoa2+2fCZ35bYq4o4lGD8f9075qr4VHwDWA4ed91Vi4dr8z4r77rIF4de4ouc0kCFm5cqI9312Um+IcpKC3HDdF3FHE6YNzse+E++Dgn0urO93fs9vy9ukDZLGLIJRk/nnDMf88u36PILutt2wgRdxRxH0zBuFCH8JQnHO0maw45CE8T2V/RKTTLycFjOkvKKGIO4qINcSgW5J388ybPxzAM0t3AwAOPDXbuf1EI40oIyKbFGMsyp6eo7YZIUMRd5Thq0JEcNqAPT3S7hiW0C4amhAfS5cKQWgF+jRGGRabf42SzQfrUFJhb28X/gXsq/IEQWgDctxRxpzhPf0+/6d3NnptG9MnA0+dP8zH3gRBqAHluKOMSf3dux5TjLFoFjXm+OKzmyfLaRJBECFCEXeUY6TcNUHoDvrUEgRB6IyQHTdj7DLG2HbGWBlj7DvGWLochhHykZUc73wcirwrQRDaIJyIOxbAJM55XwCVAG6V1iRCblbcPQ2PnjMUAAlIEYQeCdlxc84/4JwLfdNbAGRKaxIhN5nJ8ZjjkLd89JyhGFnQLcArCILQEmFXlTDGYgBcDuBeH8/dAOAGAOjdu3fYxhHykZuagLKnZ4Mxhh7pibhy8Qaf+z3+x5MUtowgiEAEjLgZY2MYY6WOn+dFT70A4GfO+a+er+GcL+Kcj+Wcj83JyZHSXkJCmEMZbeqA7E73uWpyoULWEAQRLAEjbs75ZgBF4m2MscdgT5FcLYtVBEEQRKeEnCphjD0AoD+Aq7jeRGyJkLhkrLeSIEEQ6hPS4iRjLB/AUwCmAtjrSJ945bgJ/SKUCl4+oTeevWiEytYQBOGLkCJuzvkRuAakEBHEN7dOxa5jjbBxjvs/3454A/VmEYRWIa0SAgAwPD8dw/PTYbLYUFbTgltPLwr8IoIgVIEcN+FGfGwMHpg1JPCOBEGoBt0PEwRB6Axy3ARBEDqDHDdBEITOIMdNEAShM8hxEwRB6Axy3ARBEDqDHDdBEITOIMdNEAShM5jcOlGMsSoAB7twiGwA1RKZIyVkV2iQXaFBdoVGJNrVh3PuUxdbdsfdVRhjxZzzsWrb4QnZFRpkV2iQXaERbXZRqoQgCEJnkOMmCILQGXpw3IvUNqATyK7QILtCg+wKjaiyS/M5boIgCMIdPUTcBEEQhAhy3ARBEDqDHDcR8TDGEhljA9W2wxOyKzS0apcaqOq4GWOXMMbKHEOHr/V4bhhjbBtj7CBj7DXGWIxj+zTG2F7H6x5Swa47GGO7GGPljLH3GWOxju1rHdtKHT8Ghe16lzFWITp/b8d21d4vxtjpIntKGWN1jLFnHc8p8X6lMca+BHAcwH0+nlflGgvCLlWusSDsUuUa82eXmtcYYyyBMbaIMbbHcQ3d5fG8fNcX51yVHwCpAA4D6AWgO4BKADmi538EMAuAAcAPAM6DfVDxPgAnA0gGsBfASIXtuhZAPOxj35YDuMKxfS2AQhXfr3cBnObxGtXfL499fwEwXIn3y3GOFADTAVwH4G0fz6t1jQWyS61rLJBdal1jfu1S6xoDkAXgQsd7kA37F0uBEteXmhH3DAA/cM4rOOeVAFbD/p8DxlgOgL6c8yWccyuA/wCYCWAMgOOc89855y0APnVsV8QuAOCcv8M5N3HOLQB+B5Ap8fnDsqsTVH+/BBhjQwDEcc63S3z+TuGcN3POVwGw+LBHtWvMn12O51W5xgLZ1Qmqv18CSl9jnPMazvln3E417AFMN4ctsl5fajruArhrmBwB0MPxOB/AIR/P+XuNEnY5YYwlAZgD4BvHpg4AaxhjWxhjV0psUzB2mQH8mzG2gzF2T5CvUcIugesBLBb9Lvf7FQg1r7GgUOEaC4Ra11iwqHaNMcaGAUgAUOLYJOv1peaU93gANtHvNgDWAM/5e40SdgEAHLmq9wC8xjkvBwDO+QzHc0MBrGKMbeKc71HKLs759Y7zFwBYwRjbFszfIrddDpuMAC4CMFxkr9zvVyDUvMYCotI15hcVr7GAqHmNMcayAbwP4BruyJFA5utLzYj7GOx5UYF82G81/D3n7zVK2AXGGAPwNoCdnPN/eL6Yc74T9jzbECXtEp3/MIBvAQwL9jUK2HU+gLWc8wbPF8v4fgVCzWvMLypeY0GhwjUWDKpcY4yxDNjviB7knG8SPSXv9SVX4j6IxH4egAoAubAvah0AkCx6fjuA0+BK7E+F/duqAsAg2BP7O2GXPlTSroUAnvLxuiLHv30c/xGSLooEYZdw/izYb9emaOH9cuyzCsA0Jd8vj3NdDd+LbapcY0HYpco1FoRdqlxjgexS6xoDkAbgJwB/6OR52a4vyd/cMP4j9jt+znf83Ot4brTjDz8M4EnRa2bCvhJbDuBmJe1yvPE2AKWin7mi/6QyADsAXKzC+/W94z3ZA+BWLbxfjuf6wb6Kznxc1HK/X6mO/6PjABocj1W/xvzZpeY1FsT7pco1FoRdqlxjAB4G0OLxf3WPEtcXaZUQBEHoDOqcJAiC0BnkuAmCIHQGOW6CIAidQY6bIAhCZ5DjJgiC0BnkuAmCIHQGOW6CIAidQY6bIAhCZ/w/3I3ydiqOB/gAAAAASUVORK5CYII=\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Creating our own non-linear dataset\n", "# A good way to create a non-linear dataset is to mix sines with different phases.\n", "n_samples = 1000\n", "de_linearize = lambda X: np.cos(1.5 * np.pi * X) + np.cos( 5 * np.pi * X )\n", "X = np.sort(np.random.rand(n_samples)) * 2\n", "y = de_linearize(X) + np.random.randn(n_samples) * 0.1\n", "\n", "plt.plot(X, y);\n" ] }, { "cell_type": "code", "execution_count": 79, "metadata": { "ExecuteTime": { "end_time": "2021-06-29T10:37:50.987337Z", "start_time": "2021-06-29T10:37:50.981594Z" } }, "outputs": [ { "data": { "text/plain": [ "(0.35368486325681037,\n", " 0.35368486325681014,\n", " (-0.030606904040838705, 0.3335983907604126))" ] }, "execution_count": 79, "metadata": {}, "output_type": "execute_result" } ], "source": [ "KL(X, y), entropy(processNegVals(X), processNegVals(y)), pearsonr(X, y)" ] }, { "cell_type": "code", "execution_count": 80, "metadata": { "ExecuteTime": { "end_time": "2021-06-29T10:37:52.147635Z", "start_time": "2021-06-29T10:37:52.005732Z" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# generate training set\n", "rng = np.random.RandomState(1)\n", "x = 10 * rng.rand(1000)\n", "x1 = np.random.choice(x, size = 500, replace = False)\n", "x2 = np.array([i for i in x if i not in x1])\n", "y1 = 3 * x1 - 5 + rng.randn(500)\n", "y2 = -3 * x2 + 25 + rng.randn(500)\n", "x = np.hstack((x1, x2))\n", "y = np.hstack((y1, y2))\n", "plt.scatter(x, y);" ] }, { "cell_type": "code", "execution_count": 81, "metadata": { "ExecuteTime": { "end_time": "2021-06-29T10:37:52.907171Z", "start_time": "2021-06-29T10:37:52.901567Z" } }, "outputs": [ { "data": { "text/plain": [ "(0.4341830070262035,\n", " 0.4341830070262035,\n", " (0.018987388444658082, 0.5486815033156951))" ] }, "execution_count": 81, "metadata": {}, "output_type": "execute_result" } ], "source": [ "KL(x, y), entropy(processNegVals(x), processNegVals(y)), pearsonr(x, y)" ] }, { "cell_type": "code", "execution_count": 90, "metadata": { "ExecuteTime": { "end_time": "2021-06-29T10:39:18.900737Z", "start_time": "2021-06-29T10:39:18.773511Z" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "num_samples = 1000\n", "\n", "# make a simple unit circle \n", "theta = np.linspace(0, 2*np.pi, num_samples)\n", "a, b = 1 * np.cos(theta), 1 * np.sin(theta)\n", "\n", "# generate the points\n", "# theta = np.random.rand((num_samples)) * (2 * np.pi)\n", "r = 10\n", "x, y = r * np.cos(theta)+ rng.randn(num_samples), r * np.sin(theta)+ rng.randn(num_samples)\n", "\n", "# plots\n", "plt.figure(figsize=(6,6))\n", "plt.plot(x, y, marker='o', linestyle='');" ] }, { "cell_type": "code", "execution_count": 91, "metadata": { "ExecuteTime": { "end_time": "2021-06-29T10:39:19.801152Z", "start_time": "2021-06-29T10:39:19.795417Z" } }, "outputs": [ { "data": { "text/plain": [ "(0.45900891300219837,\n", " 0.45900891300219837,\n", " (0.001991373458561054, 0.949850865621781))" ] }, "execution_count": 91, "metadata": {}, "output_type": "execute_result" } ], "source": [ "KL(x, y), entropy(processNegVals(x), processNegVals(y)), pearsonr(x, y)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Detecting Novel Associations in Large Data Sets\n", "\n", "David N. Reshef, Yakir A. Reshef, Hilary K. Finucane, Sharon R. Grossman, Gilean McVean, Peter J. Turnbaugh, Eric S. Lander, Michael Mitzenmacher, Pardis C. Sabeti, (2011) **Detecting Novel Associations in Large Data Sets**. Science.334 (6062):1518-1524.DOI: 10.1126/science.1205438\n", "\n", "Abstract\n", "\n", "Identifying interesting relationships between pairs of variables in large data sets is increasingly important. Here, we present a measure of dependence for two-variable relationships: the maximal information coefficient (MIC). \n", "- MIC captures a wide range of associations both functional and not, and for functional relationships provides a score that roughly equals the coefficient of determination (R2) of the data relative to the regression function. \n", "- MIC belongs to a larger class of maximal information-based nonparametric exploration (MINE) statistics for identifying and classifying relationships. \n", "\n", "We apply MIC and MINE to data sets in global health, gene expression, major-league baseball, and the human gut microbiota and identify known and novel relationships.\n", "\n", "https://science.sciencemag.org/content/334/6062/1518\n", "\n", "https://minepy.readthedocs.io/en/latest/python.html" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "ExecuteTime": { "end_time": "2021-07-13T03:14:30.139702Z", "start_time": "2021-07-13T03:14:18.826794Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Collecting minepy\n", " Downloading minepy-1.2.5.tar.gz (495 kB)\n", "\u001b[K |████████████████████████████████| 495 kB 550 kB/s eta 0:00:01\n", "\u001b[?25hRequirement already satisfied: numpy>=1.3.0 in /opt/anaconda3/lib/python3.7/site-packages (from minepy) (1.18.1)\n", "Building wheels for collected packages: minepy\n", " Building wheel for minepy (setup.py) ... \u001b[?25ldone\n", "\u001b[?25h Created wheel for minepy: filename=minepy-1.2.5-cp37-cp37m-macosx_10_9_x86_64.whl size=53204 sha256=bc8898a79054426890486cd6b5726a0e3347dcd73b2616fe865bda505a322376\n", " Stored in directory: /Users/datalab/Library/Caches/pip/wheels/d1/ea/d7/fabbfa6e294adcbc43dabca0e0158dafdd36051246992c7311\n", "Successfully built minepy\n", "Installing collected packages: minepy\n", "Successfully installed minepy-1.2.5\n" ] } ], "source": [ "!pip install minepy\n" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "ExecuteTime": { "end_time": "2021-07-13T03:19:33.210726Z", "start_time": "2021-07-13T03:19:31.842432Z" } }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/opt/anaconda3/lib/python3.7/site-packages/ipykernel_launcher.py:65: DeprecationWarning: This function is deprecated. Please call randint(0, 1 + 1) instead\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from __future__ import division\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from minepy import MINE\n", "\n", "\n", "rs = np.random.RandomState(seed=0)\n", "\n", "def mysubplot(x, y, numRows, numCols, plotNum,\n", " xlim=(-4, 4), ylim=(-4, 4)):\n", "\n", " r = np.around(np.corrcoef(x, y)[0, 1], 1)\n", " mine = MINE(alpha=0.6, c=15, est=\"mic_approx\")\n", " mine.compute_score(x, y)\n", " mic = np.around(mine.mic(), 1)\n", " ax = plt.subplot(numRows, numCols, plotNum,\n", " xlim=xlim, ylim=ylim)\n", " ax.set_title('Pearson r=%.1f\\nMIC=%.1f' % (r, mic),fontsize=10)\n", " ax.set_frame_on(False)\n", " ax.axes.get_xaxis().set_visible(False)\n", " ax.axes.get_yaxis().set_visible(False)\n", " ax.plot(x, y, ',')\n", " ax.set_xticks([])\n", " ax.set_yticks([])\n", " return ax\n", "\n", "def rotation(xy, t):\n", " return np.dot(xy, [[np.cos(t), -np.sin(t)], [np.sin(t), np.cos(t)]])\n", "\n", "def mvnormal(n=1000):\n", " cors = [1.0, 0.8, 0.4, 0.0, -0.4, -0.8, -1.0]\n", " for i, cor in enumerate(cors):\n", " cov = [[1, cor],[cor, 1]]\n", " xy = rs.multivariate_normal([0, 0], cov, n)\n", " mysubplot(xy[:, 0], xy[:, 1], 3, 7, i+1)\n", "\n", "def rotnormal(n=1000):\n", " ts = [0, np.pi/12, np.pi/6, np.pi/4, np.pi/2-np.pi/6,\n", " np.pi/2-np.pi/12, np.pi/2]\n", " cov = [[1, 1],[1, 1]]\n", " xy = rs.multivariate_normal([0, 0], cov, n)\n", " for i, t in enumerate(ts):\n", " xy_r = rotation(xy, t)\n", " mysubplot(xy_r[:, 0], xy_r[:, 1], 3, 7, i+8)\n", "\n", "def others(n=1000):\n", " x = rs.uniform(-1, 1, n)\n", " y = 4*(x**2-0.5)**2 + rs.uniform(-1, 1, n)/3\n", " mysubplot(x, y, 3, 7, 15, (-1, 1), (-1/3, 1+1/3))\n", "\n", " y = rs.uniform(-1, 1, n)\n", " xy = np.concatenate((x.reshape(-1, 1), y.reshape(-1, 1)), axis=1)\n", " xy = rotation(xy, -np.pi/8)\n", " lim = np.sqrt(2+np.sqrt(2)) / np.sqrt(2)\n", " mysubplot(xy[:, 0], xy[:, 1], 3, 7, 16, (-lim, lim), (-lim, lim))\n", "\n", " xy = rotation(xy, -np.pi/8)\n", " lim = np.sqrt(2)\n", " mysubplot(xy[:, 0], xy[:, 1], 3, 7, 17, (-lim, lim), (-lim, lim))\n", "\n", " y = 2*x**2 + rs.uniform(-1, 1, n)\n", " mysubplot(x, y, 3, 7, 18, (-1, 1), (-1, 3))\n", "\n", " y = (x**2 + rs.uniform(0, 0.5, n)) * \\\n", " np.array([-1, 1])[rs.random_integers(0, 1, size=n)]\n", " mysubplot(x, y, 3, 7, 19, (-1.5, 1.5), (-1.5, 1.5))\n", "\n", " y = np.cos(x * np.pi) + rs.uniform(0, 1/8, n)\n", " x = np.sin(x * np.pi) + rs.uniform(0, 1/8, n)\n", " mysubplot(x, y, 3, 7, 20, (-1.5, 1.5), (-1.5, 1.5))\n", "\n", " xy1 = np.random.multivariate_normal([3, 3], [[1, 0], [0, 1]], int(n/4))\n", " xy2 = np.random.multivariate_normal([-3, 3], [[1, 0], [0, 1]], int(n/4))\n", " xy3 = np.random.multivariate_normal([-3, -3], [[1, 0], [0, 1]], int(n/4))\n", " xy4 = np.random.multivariate_normal([3, -3], [[1, 0], [0, 1]], int(n/4))\n", " xy = np.concatenate((xy1, xy2, xy3, xy4), axis=0)\n", " mysubplot(xy[:, 0], xy[:, 1], 3, 7, 21, (-7, 7), (-7, 7))\n", "\n", "plt.figure(facecolor='white', figsize = (16, 10))\n", "mvnormal(n=800)\n", "rotnormal(n=200)\n", "others(n=800)\n", "plt.tight_layout()\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 43, "metadata": { "ExecuteTime": { "end_time": "2021-06-29T05:08:21.593785Z", "start_time": "2021-06-29T05:08:14.452317Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "LLE: 0.11 sec\n", "LTSA: 0.18 sec\n", "Hessian LLE: 0.28 sec\n", "Modified LLE: 0.23 sec\n", "Isomap: 0.37 sec\n", "MDS: 1.5 sec\n", "SE: 0.079 sec\n", "t-SNE: 3.2 sec\n" ] }, { "data": { "image/png": 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# Author: Jake Vanderplas -- \n", "from collections import OrderedDict\n", "from functools import partial\n", "from time import time\n", "\n", "import matplotlib.pyplot as plt\n", "from mpl_toolkits.mplot3d import Axes3D\n", "from matplotlib.ticker import NullFormatter\n", "\n", "from sklearn import manifold, datasets\n", "\n", "# Next line to silence pyflakes. This import is needed.\n", "Axes3D\n", "\n", "n_points = 1000\n", "X, color = datasets.make_s_curve(n_points, random_state=0)\n", "n_neighbors = 10\n", "n_components = 2\n", "\n", "# Create figure\n", "fig = plt.figure(figsize=(15, 8))\n", "fig.suptitle(\"Manifold Learning with %i points, %i neighbors\"\n", " % (1000, n_neighbors), fontsize=14)\n", "\n", "# Add 3d scatter plot\n", "ax = fig.add_subplot(251, projection='3d')\n", "ax.scatter(X[:, 0], X[:, 1], X[:, 2], c=color, cmap=plt.cm.Spectral)\n", "ax.view_init(4, -72)\n", "\n", "# Set-up manifold methods\n", "LLE = partial(manifold.LocallyLinearEmbedding,\n", " n_neighbors, n_components, eigen_solver='auto')\n", "\n", "methods = OrderedDict()\n", "methods['LLE'] = LLE(method='standard')\n", "methods['LTSA'] = LLE(method='ltsa')\n", "methods['Hessian LLE'] = LLE(method='hessian')\n", "methods['Modified LLE'] = LLE(method='modified')\n", "methods['Isomap'] = manifold.Isomap(n_neighbors, n_components)\n", "methods['MDS'] = manifold.MDS(n_components, max_iter=100, n_init=1)\n", "methods['SE'] = manifold.SpectralEmbedding(n_components=n_components,\n", " n_neighbors=n_neighbors)\n", "methods['t-SNE'] = manifold.TSNE(n_components=n_components, init='pca',\n", " random_state=0)\n", "\n", "# Plot results\n", "for i, (label, method) in enumerate(methods.items()):\n", " t0 = time()\n", " Y = method.fit_transform(X)\n", " t1 = time()\n", " print(\"%s: %.2g sec\" % (label, t1 - t0))\n", " ax = fig.add_subplot(2, 5, 2 + i + (i > 3))\n", " ax.scatter(Y[:, 0], Y[:, 1], c=color, cmap=plt.cm.Spectral)\n", " ax.set_title(\"%s (%.2g sec)\" % (label, t1 - t0))\n", " ax.xaxis.set_major_formatter(NullFormatter())\n", " ax.yaxis.set_major_formatter(NullFormatter())\n", " ax.axis('tight')\n", "\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "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": "3.7.6" }, "toc": { "base_numbering": 1, "nav_menu": {}, "number_sections": false, "sideBar": true, "skip_h1_title": false, "title_cell": "Table of Contents", "title_sidebar": "Contents", "toc_cell": false, "toc_position": {}, "toc_section_display": true, "toc_window_display": true } }, "nbformat": 4, "nbformat_minor": 4 }