{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "Title: k-Means, PCA, and Tree VQ\n", "Author: Thomas Breuel\n", "Institution: UniKL" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false }, "outputs": [], "source": [ "import random as pyrand\n", "import tables\n", "matplotlib.rc(\"image\",cmap=\"gray\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Clustering Shapes" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false }, "outputs": [], "source": [ "hdf = tables.openFile(\"leaves.h5\",\"r\")\n", "nimages = len(hdf.root.icons)\n", "images = hdf.root.icons[:,:,:]/256.0\n", "data = images.reshape(nimages,-1)" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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5radNm6Z7zrRp04QuR7M+Rtqee+456eurF65JM34aUVRU5Dg/uwjZZx0NKIoC\nI0eOdGyHSPASbvbs2borZcTFeWbGA13sjhKRjQ0bNvCW4Agz11JiYqIpW23atKHeSsdgzZElS5YY\npolU4FOmTBHi8dUJ//jHP3hLYI4MN1QaiDoKywxmykgdzRXpmps6dSooigL79++nJe03bLfJHQBR\n8MhFQ0Nw2mPHjhFCCMnLyyPbtm0TwsdwjXa2e+65R+hypOFjkyZNPFFfZb8m9fzMz88ny5cvJ4FA\nQDP9unXrdDWXlJS45ie+YGSEkY9//etfYfHixZrHunbtCtu3b3eswY2idVqWx44dg8aNG9s+XwYf\nExMTI45DNgPv+mqWPXv2QPv27W2dK0NZ0sCun9gNwom33npLd/VjGoFaFt5//33eEpjjNFDLRIcO\nHXhLYM7ChQu55IvBGuEKzwVIEfpweFB3nT59+nDJF4M1wpWLFy/yloBQxmhVJ9kZNWoUl3yxz5oR\n0eAjAH8/o8FHAKyvtJDZTylb1jKv74Yg0cCIESN4S/AcUgZrK5/pIgjiPma+IUCsIWWwfuyxx3hL\nQBAEcRUpg/W8efN4S0Aokp6ezlsCc7Kzs3lLcJ1+/frxluAp8AUjI6LBRwD+fsri4/Dhwx2NKcf6\nSgeZ/ZSyZQ0AcPjwYd4SXKG4uJi3BFcQedEIGgwZMoS3BIQSzz77LJd8ubSsEQRBEGtI27JGEASJ\nJjBYIwiCSAAGawRBEAnAYI0gCCIBGKwRBEEkAIM1giCIBHBZrdTpwHRCCBUbLHGir0qVKnDlyhXH\nGkT/yODy5ctQrVo1R/mL7iMtRK6vtBC9LHfv3k1lcQW7fkr5BaPXg3UgEICYGOcPPaJXfhnKEcC+\njzT8C7bFErs6Y2JiqC0gIXJZAtArz6j7gtHLK4yI0MpxizFjxvCWwJT//Oc/vCUwJVpmwFQDLM9v\nCKUL1mogUxSFSutTNNTK4OWbUTCLFi3iLYEpw4YNAwBvLnf16aefAgBAs2bNOCthx5w5c8rsmz59\nOgclEnaDhMvVsvXII4/A559/bskObZw8Oju1oWWLFTT8bNmyJXz77beO7bDCqo81atSAvLy8Um1N\nmjSBo0ePUq33tLGjrXPnzqWLO/PsHrCCHZ1auniUpRRN08mTJ2vu/+abb0r/Dv4BPvvsM+aaWBBe\niF5sjWmxb98+3hKoEhyoAQCOHj0KNWvWLP3fK1P8qoFaxaiBhDhDuGC9adOmMvvmzp0LWVlZZfbf\nc889ABBP+dRZAAAPrElEQVTa8S9zgJNZuxOSkpJ4S7CMUVmFz8w2ceLE0r8HDBjARBNPCCGemr96\n6dKlpX9rxSSVH374ATp27OiCIgAgHAAA3U3r+M6dOwkhhMTExES0OXXqVEIIIbt27YqYhxtuG+Wv\nbiUlJaV/d+nSRdfO+PHjTdt0y0crfqpbmzZtCAAQv99fxoYde7x8fPHFF0nVqlUj1uFgfv/73xNF\nUWz5KFJ9BQCSm5uraePEiRO2fONdlgBAqlWrpqtn0aJFtmzS9lPIYP3ee+9ZchAAyIMPPmjKvoiV\nnxBCVq5cqalLvUGNGTOmNL3Zi8IN7FZUn89XxtbPP/8s1QVudMyKvaFDh0pTX/X0xMfHW7YjSllu\n27ZN87hde0bHbGm3faYD9Jw4fvw4Wb16NSGEkK1bt5pysH379mX2ffrpp9wrBu1KarYiiFL5I+m0\nY0tEH1WysrLKHAsEApq27r//fl07stRXACCZmZllbKitUz17jzzyiLBlGf7UDgDE5/ORGTNmmLZn\nJh/PBGstR9T9HTt21LVlxb4IlT/8+FtvvWXanhn7IlT+YA3Nmze3FawPHDhAcnNzhfXx3LlzIWkC\ngUDpMbXLI5yHH344RHvbtm0N8+FdX+1oCk/bqlUr7j5Gyl+vvMzWV7P5eCpYR3Jca394C4ZGRaOB\nmbzN6lm2bFmZNGb6sN3ASEOnTp0IIYRkZ2dH1BYc6ILLVWQfjdJaPS5qfaURrM3k4waR8p87d67u\nOVb2v/zyy9ETrMMdqlixom7l1iMlJUXYyn/q1CnNdHps377dkn1RKr+WDj1tiqJETC+qj+Hk5eWZ\nCsZW8uBVXytUqGBLi5nyF7Es9TTs2rWrzL4+ffpEbI2z8FOYoXuKogC5dfMoMyzq2rVrmueEpwMA\nKFeuHCiKAhs2bGCikwbBi8Oq/kb6bLdv375uyGJGRkZG6d96fqplGfzlZnp6OlthFAj/OKJ69eqG\n52jV2+LiYigqKrL9cRALrl+/rqk1Pz/f1PmEEGm+xL106ZKuVq3Jm5o2baqb3ufzUdWmIuwXjHZk\nWfmqiLXbRlrC81cUBbp16wZbtmwpsz8nJwd69uwZsr9evXpw+vRpS3mwwOxvruVv8D5FUSAQCITY\nY1VPrKKlIzk5OWLQCvdPb59RPiq86mtSUhIUFBTA4cOH4a677jKlR++bhx07dkCXLl10zxOlvobX\nQ9r27fopTMs6HEVRIDMz01J6WdAqLEIIbN26VTN9eKBetGiRYaAWia5du5bZF/4bOLlAeFBQUACK\nosChQ4c0j+uVsRaKogjru/pU27JlSyCEQIUKFWDatGmGerXm1OjcuTMTjbSJiYmxXB6jR49mX4a2\nO1AcACb6OYM3Mzz99NOkR48eZV5UObHpBDv5AwCpXLlyRLsFBQVUfzen0C5Hq3bdwIyOffv2Wbab\nn58vjJ9W8549e3bEehz80ZPKpEmTpCjL5ORkMmDAANM216xZw+w6CEbIbpDY2Fiq/T7ly5eHmzdv\nhuxj7TbLrh6zcwi7UbRWWxNmNInUnQXATo9Iflrttgs+J/wYIWXnfY6NjTWss7zL8rPPPoNHHnnE\ntu3i4mJITEw0TGfXTyG6QUjQi0VCSMRAbdZRtcIoilImUIuCoihQUFBg6Rzy68tIDvdYW4wZMwZ+\n+uknzRfHWojaHWAGq3M7q7/JypUrGSmig16QJYTAzp07y+zXKkMZXjS+9NJLjs5PSEhge13abpM7\nAEw8KgQPot+2bRv5y1/+UibNXXfdFWLz+eefJ7179xb+sVLdsrKymNp3AzM6APS/6NNC64tAEX2M\njY11LS/WsP6tc3JySsv1tttuE64sg7c5c+aQGjVqEAAgmzdvJoTcmvYB4Nb8PcFaw+v1hQsXmP2O\nwgZr1htPH9etW8fErqiVP3hbs2YNIYSQ3NxcUr169Yi2T506JbyPHTp0IFevXi39PxAIkCeffFI3\n/YULF0JsBp9buXJlcvXqVVK/fn2h6mvwVqFCBUf5fPjhh8KWpdYW6R3Y9OnTXY09UgZruz+SiJVf\ni4ceeqjUhsrAgQOF89GKn3rbuHHjCACQ4uJi4vf7yfbt28ndd9/tKR9pbKL5yCIPN+Bdjk785LK6\nuVPKly/PWwI1gvv3ghfKJb/2fanH69at6744F1iwYAEA3OrvQ8SnUqVKcPXqVUvnEEI8tQRf+/bt\nYc+ePa7nK+Uv2KpVK94SmBCpQss0rhrxHuTXl6F6gZoEvdAPHiXixbVSgxcmcBMpf8XFixfzlsCc\nH374gbcEhBLNmzfnLcExwYF48+bNAADQokWL0uPhAdmLQVqFV7AWcpy1G7B226mP58+fh1q1ajmy\n4UbR8i5LGXzMyMhwPM+J6PWVBjKUJQDAmTNnoE6dOrbPt+unN299HuDuu+/mLYE5S5Ys4S3BFWSY\nkIoWXlv8WIuioiIu+UobrFNTU3lLYMqFCxd4S2DOO++8w1sCQhmvvk8Kxkmr2gnSdoMEj5ywAz5W\n0oG3n9HgI4A89bVcuXK2vxiWpSx79+4N2dnZts+Pum6Q3bt385bAlJkzZ/KWgFBk3bp1vCW4gqhT\nO9DESaB2grTBumPHjrwlMKVmzZq8JTDl4sWLvCW4iuwLSFihTZs2vCV4EmmDtdfJy8vjLYEZc+bM\n8fzNSAszq8h4gb179/KWwJRTp05xyZdLnzWCIAhiDWxZIwiCSAAGawRBEAnAYI0gCCIBGKwRBEEk\nAIM1giCIBHCZz5rGV0Tq9ItOzmcJrS/CnPgpwxdhopcjAH8fVRsscaLP6dfEKjKUZXp6OmRkZDiy\nEXVfMEYD6sT8iPx8+OGHvCUwQ4TP8d2C55fFUgZr9c708ccfc1bClrFjxwKAd7/WVMuxZcuWnJWw\nQ/Vx6NCh8O6773JWQ59hw4bxlhA1SDWREyEE9u3bV/o5q5PlgkR+rBw4cCCsWrXKsT3RHyuD9Xmx\nq+fpp5+GhQsXUrElan2lUYZatljhtLtHPZ9H1510LevgeQcURXGlgN0mPFADAPztb3/joIQdXiy3\ncMIDNQBASkoKByVs6Ny5c8j/PNYldIs777wzJEBzWf3H9lK7DoCw1X7nz5+vuxLwuXPnSv/2+Xym\n7JnZ3PaRhi7RfLTrpxbXrl0Tshzt+njlyhWq9kTzMTU1VdPOhQsXmNR9Xn5G0pabm+uqn8J0gxCd\nN+bqo4deK7pjx462pktl7badx6S8vLyIk/1YtelG0drxc8WKFTBo0CAqtkT1MZKur776Ctq3b0/N\nHg2s+hjcJeDUloqoZQmgr83NOitUNwj5dQXlYNQ+aT0Hk5OTS8/LyspirpElRrOycbivMkErUAMA\nbNu2zWUlbDh69GjE4+3atYNAIOCSGvo8/PDDEYMUIQS6dOnioiK2iHLdCROsgws//MeJ9GOtX7++\n9O+pU6dqprnzzjsdqmPPkSNHDNOIUmlYwWu5JNo0btzYMI3Mw90eeOABwzReufEa8dprr7mWlzDB\nOnwO3OBWtpkRH+GV/80334RnnnkGCCHw/fff0xPKiA8++MAwzcaNG11QwpZIN5xGjRq5qASxi9de\ndjthwoQJkJOT40pewvRZA2hfyOTX4Xlm+sheffVVmDJlCty4ccNWXjQx23Jas2YN9O/fH0pKSiAu\nLvIHpV7os45UjnbsieijWU1W7IpSX1XM6ImWsty7dy+0a9eOqk0thGlZA2j/kOq+22+/XfOc+vXr\nA8CtH2DixIkhgVoG+vXrB4QQ2L59O28prmDU1xltyNJ3TQiB8uXLl/7fs2fPiOknTZrEWpIwPPXU\nU67kI0ywbt++ve7FSgiBBg0aaB6rVKmS7nnh40BFxkw/oNo11LRpUxcUsSFSsP70009dVEKXQ4cO\nab4gj4TeCChRuX79OhBCIBAIwKZNmyKmffXVV0v/7tatm7Q3YjPl8/XXXwMAwNKlS5n6KVQ3CIDx\nY7JZGjVqBCdOnNA9LspjpR0dLG1bhfbQJTWAyeijXS1m7POur88++yy89NJLpmypXZfhmo3yEKks\ngzHSFT6smJWfwrSsVWJiYqgE60iBWma6d+/OW4It1FanmYovK2qXnBV8Ph8DJfR5+eWXTafV+iYi\nISGBtiTXSE9Pj3jcrfaucMFaxclF+9VXX8Hy5cspqhGHrVu38pZgCyvluWXLFnZCGHLy5EnL59St\nW5eBEjZ88sknts8tKSmhqIQdffr0CWlYrFy5EjIzM3nLAgABu0EA7HWFiPbm2awen88HsbGxptIe\nPHgQWrdubVqDaI+Vffv2hbVr11K1KZqPVvWI0t1jVscXX3wBAwYMYGJblLJ0ouPRRx81vKl5phvE\n5/PZCryyPj4bDdcLxkqgFpF169bBk08+GTHNjBkzXFLDBi/PWw1g/PViMH6/X8rr0olmJ08fRggX\nrG+77Tbo27dvmf03btzQnR9EURQIBALSvnFOTk42TCNjpddi6dKlul/4TZgwAWbNmuWyIro89thj\nMGXKFFNpZS7TevXqRTyuKIqlhoho2Jl6mcZqORExN98TXcDCDFWjRo0K+T8QCJTOXKU1C18gEChN\nE2kTyUcAIH6/n5ott3x0oi3Y5/T0dM/5SNumiD4Gb71793Zsww2s6GnQoAETu3YRrmUdzttvvx3y\n/+XLlwEAYP/+/RAXF1c6zEvdYmJi2N/hGBAbGwuKosCaNWtg7969MGLECCgpKZG69WVEbGwsDBs2\nzPGadiISqdy86O+3337LWwJ1cnNzQVEUePjhh3XT0BpqbAYhXzBGQpbFOUUIsm4ULW8/ZfGROHyv\nInp9zc/Ph0qVKjmyIUtZAjgrT7t+StcEPXDgAG8JzKlduzZvCQhlevXqxVsCU/Lz83lLcBUeQxGl\na1nXq1cPTp065ViDyC0VWZ4eALBl7RYi11cAgA4dOthaBCQYLMvISBesaSF65adBNFT+aPARAOsr\nLWTu0pKqG0SECoUgSHTDKw5JFaxl+WSVBsOHD+ctAUGQMHhOaStVsJZ5kL1VlixZwlsCglgiNTWV\ntwTm8BwWLE2wlv0zZKvEx8fzloAglnBzPUIe8F4oQpoXjLRGSKjgCxs68PYzGnwEkKO+Dh48GFas\nWGH7fCzLyEjTsj579ixvCa4jy1zHiDFOPxiRAa+3rHmDLWtGyHwHtwINP/Um6DKDLD46rb8y1Nfm\nzZvDd999Z/t8kcvS6XC9cFt24BKsEQRBEGtI0w2CIAgSzWCwRhAEkQAM1giCIBKAwRpBEEQCMFgj\nCIJIAAZrBEEQCcBgjSAIIgEYrBEEQSQAgzWCIIgEYLBGEASRAAzWCIIgEoDBGkEQRAIwWCMIgkgA\nBmsEQRAJwGCNIAgiARisEQRBJACDNYIgiARgsEYQBJGA/wMaM1VHTbW9CwAAAABJRU5ErkJggg==\n" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "for i in range(36):\n", " subplot(6,6,i+1); imshow(images[i]); axis(\"off\")" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false }, "outputs": [], "source": [ "from sklearn.cluster import KMeans,MiniBatchKMeans\n", "km = MiniBatchKMeans(n_clusters=36)\n", "km.fit(data)\n", "assignments = km.predict(data)\n", "nearest = [[i for i,j in enumerate(assignments) if j==c] for c in range(36)]\n", "good = [l for l in nearest if len(l)>3]" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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2cm1YkRwsIMXTi2TdnWJb19cpOsPDw6GqqorXuko7BWd9m77Q8n09VZV7V4Ov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\nScYWwvfffw9Dhw6losPZY2FhIbX5PLz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PDxCxRT7W6qOPPmItgQotZaSR2of6nj59mngC\n9wVVJHE1YnvghZxO26Ri6tSprCVo+MCvv/7KWoJkrFq1irUENt0pGhoaGhpk0FriGhoaGgpGS+Ia\nGhoaCkZL4hoaGhoKRkviGhoaGgpGS+IaGhoaCkZL4hoaGhoKRkviGhoaGgpGS+IaGhoaCkZL4hoa\nGhoKRkviGhoaGgpGS+IaGhoaCkZL4hoaGhoKRkviGhoaGgpGS+IaGhoaCkZL4hoaGhoKRkviGhoa\nGgpGS+IaGhoaCkZL4hoaGhoK5v8BRLF4ys1T3AIAAAAASUVORK5CYII=\n" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "for i,l in enumerate(good[:5]):\n", " for j,k in enumerate(pyrand.sample(l,min(6,len(l)))):\n", " subplot(5,6,i*6+j+1)\n", " imshow(hdf.root.icons[k])\n", " title(\"%d\"%(k,))\n", " axis(\"off\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Combining PCA and $k$-means" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false }, "outputs": [], "source": [ "from sklearn.decomposition import RandomizedPCA\n", "pca = RandomizedPCA(n_components=10)\n", "pca.fit(data)\n", "lo = pca.transform(data)\n", "hi = pca.inverse_transform(lo)" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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nQzUaF3L21UMjxcebTCZJREwqlUIqlZLUt6BwOUEQWCQOnQM4PCjl20Ze46fF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\n4kc/+pFYuXKl2L17t9i5c6e4/fbbxf333y+EEGL37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}, "metadata": {}, "output_type": "display_data" } ], "source": [ "for i,j in enumerate(pyrand.sample(range(len(images)),12)):\n", " subplot(4,6,2*i+1); imshow(images[j])\n", " subplot(4,6,2*i+2); imshow(hi[j].reshape(256,256))" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false }, "outputs": [], "source": [ "from sklearn.cluster import KMeans,MiniBatchKMeans\n", "km = MiniBatchKMeans(n_clusters=36)\n", "km.fit(lo)\n", "assignments = km.predict(lo)\n", "nearest = [[i for i,j in enumerate(assignments) if j==c] for c in range(36)]\n", "good = [l for l in nearest if len(l)>3]" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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VlMS3bt1KvBZXW1tL1J5SUdrY6Tqdjti1Zf+lJk0U2ZwCIN9XUrT8yu3PHk89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\nHSkxqqo5xQofyXFxcVBYWEjFNh9Iv6xypau8vBz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}, "metadata": {}, "output_type": "display_data" } ], "source": [ "for i,l in enumerate(good[:5]):\n", " for j,k in enumerate(pyrand.sample(l,min(6,len(l)))):\n", " subplot(5,6,i*6+j+1)\n", " imshow(images[k])\n", " title(\"%d\"%(k,))\n", " axis(\"off\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Hierarchical and Tree VQ" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": false }, "outputs": [], "source": [ "km = MiniBatchKMeans(n_clusters=9)\n", "km.fit(lo)\n", "assignments = km.predict(lo)\n", "nearest = [[i for i,j in enumerate(assignments) if j==c] for c in range(9)]" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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MbmLIkjwVPq52XAHVcnXTqvjX/d+dEAo1ABvR7PF4jF6vh+FwaAWTz8Xz3MoR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}, "metadata": {}, "output_type": "display_data" } ], "source": [ "for i,c in enumerate(km.cluster_centers_):\n", " im = pca.inverse_transform(c)\n", " subplot(3,3,i+1); axis(\"off\"); imshow(im.reshape(256,256))\n", " title(\"%d (%d)\"%(i,len(nearest[i])))" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "110\n" ] } ], "source": [ "data0 = [data[i] for i in nearest[0]] # note data instead of lo\n", "print len(data0)\n", "km0 = MiniBatchKMeans(n_clusters=9)\n", "km0.fit(data0)\n", "assignments0 = km0.predict(data0)\n", "nearest0 = [[i for i,j in enumerate(assignments0) if j==c] for c in range(9)]" ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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1pFvyPL+s8G+2bSgWixUWdDabBSEEQ0NDyOVySCaTrPKXUml/eaj1QOMmTSYT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\nOxXWD0IIent70dTUhHA4jPH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cmEwmYrPZyOOPP07S6TS7psi1NoTDYXLkyBFiMpmIxWIh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\nl2P69Om48847w56bCfOa9kKWtPx+9NFHUVxcjIKCAixfvhwbN24Me35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}, "metadata": {}, "output_type": "display_data" } ], "source": [ "for i,c in enumerate(km0.cluster_centers_):\n", " subplot(3,3,i+1); axis(\"off\"); imshow(c.reshape(256,256))\n", " title(\"%d (%d)\"%(i,len(nearest0[i])))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Hierarchical Tree VQ:\n", "\n", "- we perform VQ in several stages\n", "- a first, top-level VQ\n", "- then we split the data based on the top-level assignments\n", "- then we repeat the VQ for each split\n", "- this can be continued recursively (tree VQ)\n", "- if we use different resolutions or number of PCA components at each level, we are using a hierarchical VQ\n", "\n", "Hierarchical tree VQ is a good way of clustering very large data sets." ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": false }, "outputs": [], "source": [] } ], "metadata": {}, "nbformat": 4, "nbformat_minor": 0 }