{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Use Majority Vote to stabilize k-means clustering" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "#Reproduce Ana Fred's Majority voting solution to stabilizing KMeans clustering using OpenEnsembles\n", "import pandas as pd \n", "import matplotlib.pyplot as plt\n", "from sklearn import datasets\n", "import numpy as np\n", "import openensembles as oe\n", "\n", "\n", "\n", "#Set up a dataobject of samples from two Guassians \n", "n_samples = 250\n", "np.random.seed(8)\n", "#centers = [(0,0), (3, 6.32)] #Change distance between centers to make the problem easier/harder\n", "centers = [(5,0), (5, 10)]\n", "x, y = datasets.make_blobs(n_samples=n_samples,centers= centers,cluster_std=1)\n", "\n", "df = pd.DataFrame(x) #put the dataset into a dataframe\n", "\n", "dataObj = oe.data(df, [1,2]) #instantiate the oe data object\n", "dataObj.plot_data('parent') # Plot this data - now referenced as 'parent'\n", "ymin, ymax = plt.ylim() #set the limits of x to y, so it's clear that these are spherical classes\n", "plt.xlim(ymin, ymax)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Example of calculating and plotting a single clustering solution" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "#Plot a single solution \n", "# We have to override default Scikit-learn settings, which have built in some determinism\n", "\n", "c = oe.cluster(dataObj) #instantiate an openesembles clustering object\n", "K = 12\n", "name = 'kmeans'\n", "c.cluster('parent', 'kmeans', name, K, init = 'random', n_init = 1) #This solution will be called 'kmeans'\n", "plt_data = dataObj.plot_data('parent', class_labels=c.labels['kmeans']) #plot the data according to solution 'kmeans'\n", "ymin, ymax = plt.ylim()\n", "plt.xlim(ymin, ymax)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Build the ensemble of many heuristic k-means solutions with large K" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "# Build an ensemble of Kmeans solutions and use Majority Voting as a finishing technique, calculating majority vote each time\n", "# A solution is added. \n", "c = oe.cluster(dataObj) \n", "K = 12 # number of clusters to create\n", "numIterations = 40\n", "c_MV_arr = []\n", "fig_arr = []\n", "for i in range(1,numIterations):\n", " name = 'kmeans_' + str(i) #to append a new solution, it must have a name (dictionary key) that is unique\n", " c.cluster('parent', 'kmeans', name, K, init = 'random', n_init = 1) #c.cluster will eventually become numIterations long\n", " c_MV_arr.append(c.finish_majority_vote(threshold=0.5)) \n" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "scrolled": false }, "outputs": [ { "data": { "image/png": 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\n", 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\n", 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\n", 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\n", 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\n", 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\n", 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\n", 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "#Plot the majority vote solutions that are summed from 1:ind solutions (just the first 8)\n", "for ind in range(0, 8, 1):\n", "\n", " fig = dataObj.plot_data('parent', class_labels=c_MV_arr[ind].labels['majority_vote'])\n", " plt.title('Majority vote across %d solutions'%(ind+1))\n", " ymin, ymax = plt.ylim()\n", " plt.xlim(ymin, ymax)\n", " plt.show()\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Calculate and plot two validation metrics across majority voting solutions" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "# Use the Silhouette score (measure of compactness) and Point Biserial (contiguousness)\n", "sil_arr = []\n", "det_arr = []\n", "\n", "\n", "#Plot the majority vote solutions that are summed from 1:ind solutions (just the first 8)\n", "for ind in range(0, len(c_MV_arr)):\n", " v = oe.validation(dataObj, c_MV_arr[ind]) #instantiate with the majority vote cluster object\n", " \n", " #A compactness metric\n", " validation_name = 'silhouette'\n", " output_name = v.calculate(validation_name, 'majority_vote', 'parent')\n", " sil_arr.append(v.validation[output_name])\n", "\n", " #A metric for contiguousness\n", " validation_name = 'point_biserial'\n", " output_name = v.calculate(validation_name, 'majority_vote', 'parent')\n", " det_arr.append(v.validation[output_name])\n", " \n" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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EfZJWSlqZWfWNwLUR8UylYpmOBoa3s6VvuOw4AuMNWTmSDnHpC8VmNp6mSu48IlYBq4rmXVg0fSlwaSXjmI6KB6Qptl9rM0Mjo3T3DbNgzsxdlndtG2Q0cNWQmY3LLYur1HhtAAolhXKdzxUPcWlmVo4TQZUarw1AoaRQrnXxpt6xE4mZWYETQZUa70S+eJxGZS4RmFleTgRVamPPAHNmNjKveUbJ5fvOm4VUfhD7jb0DzGxsYGGJ6wdmZllOBFVqvDYAMxob2GfOrPJVQz0D7Ns6a8cQl2Zm5TgRVKmxGpMVLG6bVb5qyCOTmVlOTgRValPv+G0AFrc2l60a2tQ76FtHzSwXJ4IqNDoabOodf4jJQqOyYs8OcelEYGbjcyKoQk89M8jIaIyfCFqb6e4bZmB4+07zewdG6B/eXrZVsplZlhNBFdqUDjgz3shi5doSeGQyM5sIJ4IqlHdAmR1tCYquE3S6MZmZTYATQRUqnMjHq9rZMWRlUYlgkxuTmdkEOBFUoc6efhobxD5zx+5Cutwg9oXEsK+7oDazHJwIqlBnzyD7zptFY8PYjcHmzWpizszGXQax7+wdYOGcmcxq8hCVZjY+J4IqNNaANFmS2K+tmc7enccu3uRbR81sApwIqlBn70DuWz9LNSrrzNEGwcyswImgCm3qyVcigCQRbCoaxL5zAtubmTkRVJltgyNsHRzJ/Yt+v7ZmNvUOMDqaDFk5OLKdzc8MuWrIzHJzIqgyEx1HYHFrMyOjweZnhgB4Mi0dLG7zHUNmlk9FE4GkkyQ9KGmtpHPLrHOCpDsl3Sfp+krGMx2MN1ZxseLWxRPd3sysYolAUiNwAXAysBw4Q9LyonXmA18B/jAijgROq1Q800WhRJD3YvH+Ra2L3arYzCaqkiWCY4G1EfFwRAwBlwOnFq3zFuDKiHgcICKerGA808JET+SF9Tam2+1IJK0tFYjOzGpRJRPBEmBdZnp9Oi/rcGCBpOsk3S7pbaV2JOlsSWskrenq6qpQuNWhs2eAtpYZNM/I1xhs0dyk4VmhW4nOngGaZzTQ2tJUyTDNrIZUMhGUahYbRdNNwAuB1wGvAT4h6fBdNoq4KCJWRMSK9vb2PR9pFZnoyGKNDaJ97rMjlRW29xCVZpbXuIlA0mxJn5D0tXT6MEmvz7Hv9cDSzHQHsKHEOj+JiGci4ingBuAF+UKvTXkGpClWuIW0sL0vFJvZROQpEXwdGASOS6fXA/+QY7vVwGGSDpY0EzgduLponR8CL5fUJGk28GLggVyR16jJjCy2uHXWTheLfaHYzCYiTyI4NCI+DwwDREQ/pat9dhIRI8A5wDUkJ/crIuI+SSslrUzXeQD4CXA3cBtwcUTcO6l3UgOGt4/StW3iYw0vbk2GrIyIXGMdm5ll5bmiOCSphbR+X9KhJCWEcUXEKmBV0bwLi6a/AHwhV7Q1rmvrIBETH0dgcVsLWwdGWL+ln6GRUVcNmdmE5EkEf0fyq32ppG8BLwPOqmRQ9erZW0cn1iq4sP5d67uB/G0QzMwgRyKIiJ9KugN4CUmV0AfTC7u2hz07stjE2gAUSgB3retOpp0IzGwCxk0Ekl6RPt2a/l0uiYi4oXJh1afJtgpevCMR9Ow0bWaWR56qoY9knjeTtBi+HXhVRSKqY509A8xsamDB7BkT2q6QOO55ogcJ2ue5wzkzyy9P1dAp2WlJS4HPVyyiOtbZO8B+rbMm3Bhs9swm5jU3sXVghPZ5s5jR6E5lzSy/yZwx1gPP29OBWFIimGwfQYXqIFcLmdlE5blG8O882zVEA3A0cFcFY6pbm3oHeH7H/Eltu7itmd88uc2NycxswvJcI1iTeT4CfCcibqxQPHUrIujsHeDE1snV77tEYGaTlecawTf2RiD1rqd/mIHhyTcGK5QEXCIws4kqmwgk3cOuvYVC0pYgIuKoikVVhzZ0Fwakmdw1gkICcatiM5uosUoEeXoYtQmKCDb0DPDrjb38unNr8tjYy8NPPQNAx4LJJYID5icJ4ACXCMxsgsomgoh4bG8GUuvWPd3HuVfezd3re9g6MLJjfseCFo5Y3MprjlzMUR1tHNXRNqn9v/ywdj7/pqN48SH77KmQzaxO5Llr6CXAvwPPBWYCjcAzEdFa4dhqRkTwsR/cy52Pd/PGY5ZwxOJWjlg8j8MXz6O1eWKNx8qZ0djAH79o6fgrmpkVyXPX0PkkYwl8F1gBvA14TiWDqjU/vreTGx7q4u9OWc47XnbwVIdjZraTXAPbRsRaSY0RsR34uqSbKhxXzdg2OMKn/+d+lu/fypkvOWiqwzEz20WeRNCXjjB2p6TPAxuBOZUNq3b82/97iM7eAb7yp8fQ5K4fzKwK5TkznZmudw7wDMk4xG+qZFC14sHOrVxy46OccexSjjlwwVSHY2ZWUp4SwTHAqojoBT5V4XhqRkTw8R/cQ2tzE3/9miOmOhwzs7LylAj+EHhI0jclvU5SrusKAJJOkvSgpLWSzi2x/ARJPZLuTB+fnEjwe1NEcPtjW9g+WqqN3a6+f8cTrH50C+eefAQL5syscHRmZpM3biKIiHeQ3CX0XeAtwG8lXTzedpIagQuAk4HlwBmSlpdY9f8i4uj08ekJRb8XXfdQF2/6j5t468W30JmOJFZOT98wn1n1AMccOJ/TXuhbOs2suuW6ehkRw8CPgctJBqU5NcdmxwJrI+LhiBhKt82zXVUqnPzveKybk/7tBq65r7Psul+49tds6RviH97wfBoaJja2gJnZ3jZuIkirdy4F1gJvBi4G9s+x7yXAusz0+nReseMk3SXpx5KOLBPD2ZLWSFrT1dWV46X3vO6+YQCuet9L6VjQwnu+eTsfu+oe+oe277TeXeu6+datj/P2ly5j+QFuc2dm1S9PieAs4AfA4RHx9ohYFREjY28CJJ3TFSuuYL8DOCgiXkDSevkHpXYUERdFxIqIWNHe3p7jpfe87v4hZjY1sHz/Vq5878t4zysO4Vu3Ps4fnv9LHtjYC8D20eATP7yX9rmz+MsTD5+SOM3MJipPN9SnT3Lf60luNS3oADYU7bs383yVpK9IWhQRT03yNSump2+Y+S0zkMTMJvHR1z6X4w9bxF9ecRenXnAjf3vyETQ2iLvX9/DlM36XeXuo6wgzs0rLfQfQJKwGDpN0MPAESTcVb8muIGkxsCkiQtKxJCWUzRWMadK6+4aZXzSo/MsPa+cnH3w5H/ne3Zz3P/cjwcuesw+nHJWn5szMrDpULBFExIikc4BrSDqquyQi7pO0Ml1+Ick1h/dKGgH6gdMjIt/9mXtZd/8Q81t2vQ10n7mz+M+3r+Cymx/j27c+zqdPfd6EB583M5tKuRKBpBbgwIh4cCI7j4hVwKqieRdmnp9P0qld1evuG2bpwtkll0ni7S9dxttfumzvBmVmtgfkuWvoFOBO4Cfp9NGSrq5wXFWnO71GYGZWa/LcNXQeSZuAboCIuBNYVqmAqlV3/9Au1wjMzGpBnkQwEhE9FY+kig0Mb2dgeJT5s91VhJnVnjzXCO6V9BagUdJhwAeAuhqPoKc/aUzmEoGZ1aI8JYL3A0cCg8C3gR7gg5UMqtoUWhWXumvIzGy6y1MieF1EfAz4WGGGpNNIOqGrC919Q4BLBGZWm/KUCD6ac17N6k6rhtp815CZ1aCyJQJJJwOvBZZI+nJmUSuQp6+hmtHT52sEZla7xqoa2gCsIRmY5vbM/K3AX1QyqGrT3V+oGvI1AjOrPWUTQUTcBdwlab+I+EZ2maQPAv9W6eCqRXffME0NYs7MxqkOxcxsj8tzjaBU76Nn7eE4qlp3f9LhnPsQMrNaNNY1gjNIegs9uKhLiXlUaQ+hldLTN+wLxWZWs8a6RnATsBFYBHwxM38rcHclg6o2SfcSvj5gZrWpbNVQRDwWEddFxHHAo8CMiLgeeABo2UvxVQV3OGdmtSxP76PvBr4HfDWd1UGZISVrVXffMG2+ddTMalSei8XvA14G9AJExG+AfSsZVLXp6R929xJmVrPyJILBiBgqTEhqYtdB6GvW0Mgo2wZH3JjMzGpWnkRwvaS/BVoknUjSx9D/VDas6uGeR82s1uVJBOcCXcA9wHtIhp78eCWDqiY9blVsZjVu3EQQEaMR8bWIOC0i3pw+z1U1JOkkSQ9KWivp3DHWe5Gk7ZLePJHg94Znu6B2icDMatO43VBLeoQS1wQi4pBxtmsELgBOBNYDqyVdHRH3l1jvc8A1E4h7r+l2h3NmVuPyjEewIvO8GTgNWJhju2OBtRHxMICky4FTgfuL1ns/8H3gRTn2udcVuqD2XUNmVqvyVA1tzjyeiIgvAa/Kse8lwLrM9Pp03g6SlgBvBC4ca0eSzpa0RtKarq6uHC+95xQGpXE7AjOrVXmqho7JTDaQlBDm5dh3qR7aiquYvgT8TURsH6tDt4i4CLgIYMWKFXv11tWe/mEaBPNm5Sk8mZlNP3nObtl+hkZIupv44xzbrQeWZqY7SMY4yFoBXJ4mgUXAayWNRMQPcux/r+hOO5xraHDPo2ZWm8ZNBBHxe5Pc92rgMEkHA0+QdGf9lqJ9H1x4LulS4EfVlASg0AW1rw+YWe3K09dQm6R/KdTRS/qipLbxtouIEeAckruBHgCuiIj7JK2UtHL3Q987uvuG3AW1mdW0PFVDlwD38mx10JnA14E/Gm/DiFhF0gAtO6/kheGIOCtHLHtdT/8wC+e4RGBmtStPIjg0It6Umf6UpDsrFE/V6e4b5pBFc6Y6DDOzisnTxUS/pOMLE5JeBvRXLqTq0t3nQWnMrLblKRGsBC5LrwsIeJo6GbN4+2jQOzDiawRmVtPy3DV0F/ACSa3pdG/Fo6oSve551MzqQJ4GZbOANwHLgKZCw6+I+HRFI6sC3U4EZlYH8lQN/RDoAW4HBisbTnXZknYv4X6GzKyW5UkEHRFxUsUjqUI97nnUzOpAnruGbpL0/IpHUoW6PSiNmdWBsiUCSfeQdBLXBLxD0sMkVUMCIiKO2jshTh0PSmNm9WCsqqHX77UoqlQhEbQ6EZhZDRsrEWzda1FUqZ7+YVqbm2h0z6NmVsPGSgS3k1QNlRtXYMyhKmuBWxWbWT0omwiyXUTXgs3bBrnniR5ecsg+NM9ozLVN0gW1q4XMrLaVvWtI0hHp32NKPfZeiHvGzQ9v5qyvr+bRzc/k3qYwKI2ZWS0bq2ror4B3s/MIZQVBvnGLq8aS+S0APLGlnyMWt+bapqd/mKULZ1cyLDOzKTdW1dC707+THaGsqnQsSE7o67fk7zi1u2/It46aWc0bq2roRZIWZ6bfJumHkr4saeHeCW/PWTR3JrOaGli/pS/X+qOjQY+vEZhZHRirZfFXgSEASa8APgtcRtLv0EWVD23PkkTHgpbcJYKtgyOMBr5GYGY1b6xE0BgRT6fP/wS4KCK+HxGfAJ6TZ+eSTpL0oKS1ks4tsfxUSXdLujMdD/n4UvvZUzoWzM6dCJ7tZ8i3j5pZbRszEUgqXEP4feDnmWV5uq9uBC4ATgaWA2dIWl602s+AF0TE0cA7gYtzxj0pSxa05K4a2tHPkEsEZlbjxjqhfwe4XtJTJENT/h+ApOeQVA+N51hgbUQ8nG53OXAqcH9hhYjYlll/DsndSBXTsaCFLX3DPDM4wpxZY+eybvc8amZ1omyJICL+keQW0kuB4yMiMtu8P8e+lwDrMtPr03k7kfRGSb8G/pekVLALSWenVUdrurq6crx0aYU7h57oHr96yIPSmFm9GLMb6oi4JSKuiohnMvMeiog7cuy7XNcUxa9xVUQcAbwB+PsycVwUESsiYkV7e3uOly6tY0HSliBP9VB3n7ugNrP6kGc8gslaDyzNTHcAG8qtHBE3AIdKWlSpgJ5NBDlKBGnVkO8aMrNaV8lEsBo4TNLBkmYCpwNXZ1eQ9BylgyCn3VbMBDZXKqD2ubPStgT5EsHcWU3MaKzkITIzm3p5hqqclIgYkXQOcA3QCFwSEfdJWpkuvxB4E/A2ScMkF6T/JHMtYo+TxJL5+e4c6u4fcmnAzOpCxRIBQESsAlYVzbsw8/xzwOcqGUOxJQtaeCJHiaCnz62Kzaw+1F29R95GZe6C2szqRR0mghY2PzNE39DImOslHc75jiEzq311mQiAcauHevqHaXOJwMzqQB0mgvG7o44IuvuG3b2EmdWFOkwEaVuCMVoXPzO0nZHR8DUCM6sLdZcI2ufOYmbj2OMS7GhV7GsEZlYH6i4RNDQo7YW0fIlgR6tilwjMrA7UXSIAxh2gpqfQ4ZyvEZhZHajbRPDEmFVDHpTGzOpHXSaCJfNbeGrbEP1D20su3zEojauGzKwO1GUiGG9cAvc8amb1pE4TwdjjEvT0D9Myo5HmGY17MywzsylRp4lg7EZlW54ZcrWQmdWNukwE+86bxYxGlU0E3f3DrhYys7pRl4mgoWHscQncBbWZ1ZO6TATAmI3Kuvvd86iZ1Y+6TQQd82ePedeQSwRmVi/qNxEsaKFr6yADwzu3JYiI5BqBE4GZ1YmKJgJJJ0l6UNJaSeeWWP5WSXenj5skvaCS8WR1LEzHJSgqFQwMjzI0MuqqITOrGxVLBJIagQuAk4HlwBmSlhet9gjwyog4Cvh74KJKxVOs3C2kblVsZvWmkiWCY4G1EfFwRAwBlwOnZleIiJsiYks6eQvQUcF4dlKuUdmOfoZ8+6iZ1YlKJoIlwLrM9Pp0XjnvAn5cwXh2su+8Zpoadm1L4C6ozazeNFVw3yoxL0quKP0eSSI4vszys4GzAQ488MA9ElxjgzhgfssuYxf39HtQGjOrL5UsEawHlmamO4ANxStJOgq4GDg1IjaX2lFEXBQRKyJiRXt7+x4LMBmXoEzVkEsEZlYnKpkIVgOHSTpY0kzgdODq7AqSDgSuBM6MiIcqGEtJpQao6e53IjCz+lKxqqGIGJF0DnAN0AhcEhH3SVqZLr8Q+CSwD/AVSQAjEbGiUjEV61gwmyfTtgSFnka7+4aZ2dhAi3seNbM6UclrBETEKmBV0bwLM8//DPizSsYwliXzkzuHNnT3c0j7XCC5RtA2ewZpYjIzq3l127IYsreQPls91N03zAJXC5lZHanvRLBw15HKuvuGfceQmdWVuk4E+82blbYlePbOIfczZGb1pq4TQVNjA/vPby6qGhpyq2Izqyt1nQgg6Y66+BqBbx01s3pS94lgSaZR2cDwdvqHtzN/tq8RmFn9qPtE0LGghSe3DjI4sp3etDGZxys2s3pS0XYE00HHgtlEwMbuAYa2jwJuVWxm9cWJINOWYGZTUkDy7aNmVk9cNZQZl6C7z4PSmFn9qfsSweLWZhrTcQkaGpJuJXyNwMzqSd0ngqbGBha3NrN+S9+OBOASgZnVk7qvGoKkeuiJ7n66+4dobBBzZ9V9fjSzOuJEQHLn0Pot/Wk/Q+551MzqixMBSYmgs3eArq2D7mfIzOqOEwFJIoiABzp73c+QmdUdJwKSbiYA1j3dzwJ3L2FmdcaJAFi6YPaO564aMrN640QALG5rJm1C4FbFZlZ3KpoIJJ0k6UFJayWdW2L5EZJuljQo6cOVjGUsMxob2L8tqR5yGwIzqzcVSwSSGoELgJOB5cAZkpYXrfY08AHgnysVR16F6wROBGZWbypZIjgWWBsRD0fEEHA5cGp2hYh4MiJWA8MVjCOXQp9D7l7CzOpNJRPBEmBdZnp9Om/CJJ0taY2kNV1dXXskuGId8wslAl8jMLP6UslEUKp5bkxmRxFxUUSsiIgV7e3tuxlWaR3pnUMuEZhZvalkpzrrgaWZ6Q5gQwVfb7ecuHw/3tN1CEce0DrVoZiZ7VWVLBGsBg6TdLCkmcDpwNUVfL3dsmDOTD762ucyo9F31JpZfalYiSAiRiSdA1wDNAKXRMR9klamyy+UtBhYA7QCo5I+BCyPiN5KxWVmZjuraH/LEbEKWFU078LM806SKiMzM5sirgcxM6tzTgRmZnXOicDMrM45EZiZ1TknAjOzOudEYGZW5xQxqV4fpoykLuCxMosXAU/txXAmqtrjg+qP0fHtHse3e6ZzfAdFRMk+eqZdIhiLpDURsWKq4yin2uOD6o/R8e0ex7d7ajU+Vw2ZmdU5JwIzszpXa4ngoqkOYBzVHh9Uf4yOb/c4vt1Tk/HV1DUCMzObuForEZiZ2QQ5EZiZ1bmaSQSSTpL0oKS1ks6d6niKSXpU0j2S7pS0pgriuUTSk5LuzcxbKOmnkn6T/l1QZfGdJ+mJ9BjeKem1UxjfUkm/kPSApPskfTCdXxXHcIz4quIYSmqWdJuku9L4PpXOr5bjVy6+qjh+mTgbJf1K0o/S6Ukdv5q4RiCpEXgIOJFkiMzVwBkRcf+UBpYh6VFgRURURWMUSa8AtgGXRcTz0nmfB56OiM+myXRBRPxNFcV3HrAtIv55KmLKkrQ/sH9E3CFpHnA78AbgLKrgGI4R3x9TBcdQkoA5EbFN0gzgl8AHgT+iOo5fufhOogqOX4GkvwRWAK0R8frJ/g/XSongWGBtRDwcEUPA5cCpUxxTVYuIG4Cni2afCnwjff4NkhPHlCgTX9WIiI0RcUf6fCvwALCEKjmGY8RXFSKxLZ2ckT6C6jl+5eKrGpI6gNcBF2dmT+r41UoiWAKsy0yvp4q+9KkArpV0u6SzpzqYMvaLiI2QnEiAfac4nlLOkXR3WnU0ZVVXWZKWAb8L3EoVHsOi+KBKjmFarXEn8CTw04ioquNXJj6okuMHfAn4a2A0M29Sx69WEoFKzKuq7A28LCKOAU4G3pdWfdjE/AdwKHA0sBH44pRGA0iaC3wf+FA1jrVdIr6qOYYRsT0ijiYZrvZYSc+bqlhKKRNfVRw/Sa8HnoyI2/fE/molEawHlmamO4ANUxRLSRGxIf37JHAVSXVWtdmU1i0X6pifnOJ4dhIRm9J/zlHga0zxMUzrjr8PfCsirkxnV80xLBVftR3DNKZu4DqS+veqOX4F2fiq6Pi9DPjD9Nrj5cCrJP0Xkzx+tZIIVgOHSTpY0kzgdODqKY5pB0lz0gt2SJoDvBq4d+ytpsTVwNvT528HfjiFseyi8AVPvZEpPIbpxcT/BB6IiH/JLKqKY1guvmo5hpLaJc1Pn7cAfwD8muo5fiXjq5bjFxEfjYiOiFhGcr77eUT8KZM9fhFREw/gtSR3Dv0W+NhUx1MU2yHAXenjvmqID/gOSdF2mKRE9S5gH+BnwG/SvwurLL5vAvcAd6df+P2nML7jSaof7wbuTB+vrZZjOEZ8VXEMgaOAX6Vx3At8Mp1fLcevXHxVcfyKYj0B+NHuHL+auH3UzMwmr1aqhszMbJKcCMzM6pwTgZlZnXMiMDOrc04EZmZ1zomgxkgKSV/MTH847axtT+z7Uklv3hP7Gud1Tkt7zfxF0fwTCr0s1jIlPdUuGmedsyQdkJm+WNLyCsVzgKTvTXLbsySdP8FtJvQ9k7RMmV5qbeKcCGrPIPBH451I9ra0h9i83gX8eUT8XqXiqQFnATsSQUT8WVSot92I2BARFf8BYFPHiaD2jJCMW/oXxQuKf2lJ2pb+PUHS9ZKukPSQpM9KequS/tjvkXRoZjd/IOn/0vVen27fKOkLklannXG9J7PfX0j6NkkjnOJ4zkj3f6+kz6XzPknSGOpCSV8o9yYlvUhJP+yHlFj2qKR/knSzpDWSjpF0jaTfSlqZWe8jmZg/lZn/g7RzwPuyHQRK2ibpH5X0UX+LpP3S+ael7+EuSTeUiGd/STco6b/+XkkvL/f+i7bb6ZduoXSXfoYrgG+l+2yRdJ2kFWPtdzfi3xFH+gv/Skk/UdLn/ecz650k6Y50Pz8rsZ9y3z9JOl/S/ZL+l0xHaZJemH43b08/w/0z8++SdDPwvuLXsgma6lZxfuzxVobbgFbgUaAN+DBwXrrsUuDN2XXTvycA3cD+wCzgCeBT6bIPAl/KbP8Tkh8Qh5G0+G0GzgY+nq4zC1gDHJzu9xng4BJxHgA8DrQDTcDPgTeky64jGbuheJsTgB8BLyXpX//AMsfgUeC96fN/JWkFOi99rSfT+a8mSZhK38+PgFekyxamf1tIWpXuk04HcEr6/POZ93wPsCR9Pr9EPH9F2pocaExjGev9PwosApYB92b2k/0sdzpGhelx9jvZ+HfEQVISeZjku9UMPEbSz1c7SQ/ABxcdw7OA88f5/v0R8NP02BxA8l18M0nXzzcB7el6fwJckj6/G3hl+vwL2ePkx8QfLhHUoEh6mbwM+MAENlsdSR/2gyTddFybzr+H5ERQcEVEjEbEb0hOCEeQnFTfpqTL3ltJmrkflq5/W0Q8UuL1XgRcFxFdETECfAvI0yPrc0lO4KdExONjrFfoa+oe4NaI2BoRXcCAkj5kXp0+fgXckb6PQswfkHQXcAvJSa4wf4gkYUCSiJalz28ELpX0bpKTWbHVwDuUXKt5fiTjA0z2/Y9nrP1ONv5iP4uInogYAO4HDgJeAtxQ+KwjYiJjSbwC+E4knbltIEleAL8DPA/4afrd+jjQIamNJGFdn673zQm8lpXQNNUBWMV8ieQE9/XMvBHS6kBJAmZmlg1mno9mpkfZ+XtS3CdJkPyqfn9EXJNdIOkEkhJBKaW6Ds9jI8kv0d8l7WFW0jXAfsCaiPizdL1s/MXvrSl9/c9ExFdLxPwHwHER0SfpuvT1AIYj/QkKbE/3Q0SslPRikkFC7pR0dERsLuwzIm5Q0u3464BvplVeebqs3vF5pZrLrZh9C2Msm1T8JWSPZ2E/Yvyu38f6/pXaVsB9EXHcTjOTRO6+cfYglwhqVPqL7AqSC68FjwIvTJ+fSlL0nqjTJDUouW5wCPAgcA3wXiXdHiPpcCW9rI7lVuCVkhYpuZB8BnD9ONtAUm3wOuCf0pM2EfGaiDg6kwTyuAZ4p5L++pG0RNK+JFUeW9IkcATJL90xSTo0Im6NiE8CT7Fzl+hIOoikSuprJD2CHkO+978J2FfSPpJmAa/PLNtKUsVUbMLHdbz4c7o5fd2D030uLLHOo5T+/t0AnK7kWtP+QOEmgQeBdknHpfucIenISLqF7pF0fLreWycRr2W4RFDbvgick5n+GvBDSbeR9ExY7tf6WB4kObHsB6yMiAFJF5NUM9yR/tLrYpwh8iJio6SPAr8g+eW3KiJydZkbEZsknQL8WNI749mRo3KLiGslPRe4OQmZbcCfklwDWSnp7vS93pJjd1+QdFj6Pn5G0sts1gnARyQNp6/ztjzvPyKGJX2a5OT+CEk3zQWXklxQ7weOy2wzmeM6XvzjioguJRfWr5TUQNIP/olFq5X7/l0FvIqkGu8h0sQVEUPpxeUvp9VBTSQl3fuAdwCXSOojSeq2G9z7qJlZnXPVkJlZnXMiMDOrc04EZmZ1zonAzKzOORGYmdU5JwIzszrnRGBmVuf+P5MwEOzTk9KFAAAAAElFTkSuQmCC\n", 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "#Plot the two validation metrics as a function of index\n", "x = list(range(1, len(c_MV_arr)+1))\n", "plt.plot(x, sil_arr)\n", "plt.title('Validation metric for compactness')\n", "plt.xlabel('Number of k-means solutions included')\n", "plt.ylabel('Silhouette value')\n", "plt.show()\n", "\n", "plt.plot(x, det_arr)\n", "plt.title('Validation metric for connectedness')\n", "plt.xlabel('Number of k-means solutions included')\n", "plt.ylabel('Point Biserial value')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": { "collapsed": true }, "source": [ "### Plot the co-occurrence matrix of the ensemble" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "coMat = c.co_occurrence_matrix()\n", "co_plot = coMat.plot(threshold=1, linkage='average', labels=False)\n" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "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": "3.7.10" } }, "nbformat": 4, "nbformat_minor": 2 }