{ "cells": [ { "cell_type": "markdown", "id": "b766027a", "metadata": {}, "source": [ "# Vector Space Models" ] }, { "cell_type": "code", "execution_count": 2, "id": "2506b510", "metadata": { "collapsed": false }, "outputs": [], "source": [ "from nltk.corpus import brown\n", "import re\n", "from scipy import sparse" ] }, { "cell_type": "markdown", "id": "9104625c", "metadata": {}, "source": [ "## Converting Documents to Vectors" ] }, { "cell_type": "code", "execution_count": 103, "id": "37704815", "metadata": { "collapsed": false }, "outputs": [], "source": [ "# load text files\n", "docs = list(brown.files())[:500]\n", "texts = [None]*len(docs)\n", "for i,doc in enumerate(docs):\n", " with brown.open(doc) as stream:\n", " texts[i] = brown.words(fileids=[doc])\n", "# linguistic processing\n", "for i,t in enumerate(texts):\n", " texts[i] = [re.sub('(s|ing)$','',w.lower()) for w in t]\n", "# dictionary construction\n", "dictionary = sorted(list(set([w for t in texts for w in t])))\n", "wids = {w:i for i,w in enumerate(dictionary)}\n", "for i,t in enumerate(texts):\n", " texts[i] = [wids[w] for w in t]" ] }, { "cell_type": "code", "execution_count": 104, "id": "29c41864", "metadata": { "collapsed": false }, "outputs": [], "source": [ "A = sparse.lil_matrix((len(docs),len(wids.keys())))" ] }, { "cell_type": "code", "execution_count": 105, "id": "b9d38c88", "metadata": { "collapsed": false }, "outputs": [], "source": [ "for d,t in enumerate(texts):\n", " for w in t:\n", " A[d,w] += 1" ] }, { "cell_type": "code", "execution_count": 106, "id": "a1b7ad37", "metadata": { "collapsed": false }, "outputs": [], "source": [ "A = A.tocsr()" ] }, { "cell_type": "code", "execution_count": 107, "id": "6d27827a", "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 107, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAXIAAACjCAYAAACXMZU3AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAH9NJREFUeJztnX9sHOWZx7+ztklICMGUeDFe3xliO47B2G5Dcv2RqjR1\nUK4XXxB3IW4vskg43ZVTJaBXAX9UCtWROEWcCq2iqzgqWVRHQqU2zvWCL20hAcFd3aMOFNy7mNYB\n23HcOCHkN2vvzv2xHnu93nd25pl35n1n9vlIVrI7+77zzDvvPPO8z/u8z2uYpmmCYRiGCS0x1QIw\nDMMw3mBFzjAME3JYkTMMw4QcVuQMwzAhhxU5wzBMyGFFzjAME3KkK/Le3l40NDSgrq4Ou3fvll09\nwzAMk4MhM448lUphxYoV+MUvfoGqqirccccdeOGFF7By5UpZp2AYhmFyKJVZWV9fH2pra1FTUwMA\n2LJlC3p6emYUuWEYMk/HMAxTNNjZ3FIV+ejoKKqrq2c+JxIJ/OpXv5rzm7LpPwoGgNxLKQUwJaEe\nP8oUYhKF24J63hiANKGcKqbgrDNS2iM2XSYsS5i99IsyABsB/ES2UC4pBXA1gPMuyw12AGteAM5M\nf85uix1NwI7fypKQxtUALis476UCx6Uqcr8t7nwd160SF9XjRxkZUM8bJiUOOL9OSnuErS2cIGqH\nSQCDQQoiwASQohT8XxvlP0oWRxoqlLgTpE52VlVVYXh4eObz8PAwEomEzFOEBnYiqcGvdg9LeNci\nAE2qhUBGiReyIvNiAItFx5aRxQkN1P4rtX+uWrUKg4ODOH78OJLJJPbt24f29vY5vymBt4ctLA+U\nE8tR92vJvk9+y0qtP7cvyR45GdN/QVn1MXhr648B/JckWZTQmBlVWMxpi/KAZVEAtf9Kda2Ulpbi\n+9//Pu666y6kUils3759XsSK5a90Swkyb3lVw2TKA23JbHfcQuTTzv1ehs88tw5RndnfyfK5W+fK\nPWcJ8RxWHaJrEt237H5o155O2smqz4nshX6Xxtx+4ZYSAFc8lJeFgYwsrl2f781V5HPaIulRKAlQ\n5uSCQKoiB4ANGzZgw4YNsqul+dskQpkscyOz6OHO/V6Gzzy3DpEyzMZN57VTVnbK08uLQnRNovtW\n6FyWpZ9d1q7tncrutyGSAnALgDGfz1OIUgBLMDtp6Zi/BZb9t8Ad/pFXqbxjPQdBBRO4MRACxbKQ\nVBOEDDpcpxtkuSVkd3AV7SgjysUPue3qtI5d7cN53RIDsIBS8BYbpXQNWRzpZI9uvVCovNNnKXBF\nrksYWBAy6HCdUSCs7eiH3IXcQCkAv/PhvG5Jg+jieSHj589LFVkcaVyV89nrPbYr70Y56z7f5hth\ns5aDgNsk/MQA3GRz3Mj6Xfa/hX7vlim4jyEHADyUEJdbRBRGIrIm5Z3gZmQbuCJfDJvwogBhpTWf\nsFq+zCyLACy0OW7d43TOv4V+75YSEF08S3aK55YmiMJIhDqR7PezJX2ysxCk2FIf8GOiwo8JED9W\nlDL6Q73vFwCMS5aFQgpUpfexWJFrsBqnUCSaKorWR24HtVHyKXErDMsJ+X4no628LjII8+jFrw7u\nJUQwl3wyOrnvuYEDxnRdQh9zgMQw35/siPf/XmxdahB+qAInfbhofeR2UKxqkbJzs1RZ5ps+W57c\nWOhCv7ew2iFXqahQ7LnnNATf55J7L2XJLvNe2fU3O3lzjaLsMFLVmCDGW1/311orchVtrGX4YVTf\nHLqNMkTyuP3e629lYRcn7qUe3aEkd9OBNIgjg2tXil0yGikP3fpR4E0TtQRGQaUboJyHUobSIfxU\nHm7rdvL7fL9xauE7KeP2s/Wd03OLysem/9VhHioG+0lXIb9+RWyRk3w1xYFG7zga1Nwt+S48+2ES\nHc/93sub2Y3cQVgAhVIQiDqLTNnctK/TOQUndVIsfFEZt5+t77xkgDSRuXdTABod1uMnJSBGCzbf\nKC6nwSyjLiOeXEKvyFOg+XDzKazshynfyi0z53svN9WA//1SpBhEFl0h/18Qoyk353DafjLkzmcl\nerX+nZQVGRT5KENm8aPrZfE+QE5j++Re8QuNtFQ0eLKDBIJS/KFR5E43Hcj97DW6wE4ZerFE8ynN\nGNzLS+kshRJkqfb/6dgpU6DJZSXuyv3OaVmRwZGPKWTcKjq4VshpbM8BF0XHNMi1UorCuig7SCCo\nZyk0uVaczIDnDnXJVoEDZFmn2Tc6DffyyuwsugwbdczVkk+p+rkZBgVLxhunP2c/3CruLek+fqtR\nXG4FXRZZfAw9sx9yHHmE8Hozo3pfonpdIixFY5fx0m/ISbPGBhAXHTtBFifyBK7IS6BgOWkWKoft\nfkeEeLFkdXRnMPaI/O867L9ggPicv2WTo0WDtI66jFpzCfz5TUHt0ERl+CPl3EFZUlELCy0GRH1D\nhz07yT7yf7PJVqs6yTr0Hd2xIcYwklFptRmA2DURIGUAbiCUO/974KzooA5JZDRFiWtFZp4KhtEN\nlVabCT1yrZQC+ASh3JKnbMpdS5dHFrpavkpcK5RIEl19U1GDssKR0YtTqgWYhpT98PznxeVuFB0I\nDnatTONHkLwfKzuDkMFPqDdWdofQ1YIJA9Q+1SxVCholIO478GdJlNlVqhhW5NOIVqsVwulO505x\ns9DCCbrdYOrkpTVa0nX/Tjc4yXGimkLZDSn8nlhOJh8DOEkpeNN5cdjihdn/6ngvVaIkaZYGKROU\n4XcH1MECLnSNbpadM84xkMkr9aFqQZCJTCMtxPz1JbFr5Q6yONLQtZ9GwrVi1SsDvy1rv+vXIYyw\n0DXKHg05lcNJXvagkXnd1kQndTsymZgAJikFrysR54p5ZW79KvAzQZwudTnCy8pOnogLF16TivmJ\nbq6wQrhJvqVBcAcMQOzrtmPre+JstdeRxdESmUYXWZHX1NTg9ttvR2trK1avXg0AOHPmDNra2lBf\nX4/169fj7FlhRCgJu1SjYXswi4EozTmoxk2f12AjHfrGEo/bLBjUYbipKWRFbhgGDh8+jP7+fvT1\n9QEAurq60NbWhmPHjmHdunXo6uqaXw7+W1s6Wew6ycLMJar3RpfrIsnxY5tjGljkOsxB5cOTXKY5\n1yY4cOAAOjs7AQCdnZ3Yv3///DLwP1ufTtacTrIws1i76YQJpw/rOV+l8JlRm2NyB/gkdB0UeLLI\nv/SlL2HVqlV49tlnAQDj4+OIxzMLhOPxOMbH56+pncz68xq9wkpSLWFThNmkoe9DKcKJvAaANX4L\n4gDyXgBPVIt95MIkLMERlEWewlxdWQhyIsLXX38dlZWVOHXqFNra2tDQ0DDnuGEYMIz5j7p1k1gJ\nhx++h/phQm4cOXUDFSuNresEeR8OiydJqwiChJTcVCaFlDn5BVNZWQkAWLZsGe6++2709fUhHo/j\n5MnMMoCxsTFUVFRQq59HGIfCDKOC6yXWRX1Zl4BoQGvuWtHVeCEp8kuXLuH8+UzW4IsXL+LQoUNo\nampCe3s7uru7AQDd3d3YtGnTvLJUH3maWC5K6DrRElYKtaff7e2HYbLQp3rdMgni3qEbbfS1nZIP\nCF2fQZJrZXx8HHfffTcAYGpqCl/96lexfv16rFq1Cps3b8Zzzz2HmpoavPjii1KFLVas4W3YfLq6\nU6g9/W5vPwyTKdjseWmD1z1oczFB3HfgKRs5WgH8jiqRHHRdlW6YuaEnfp7MMGYS6RS7dR12SqBv\npy52qqDeeC1BZnTg9qUyWAvUv5dfP+xoBna85V02L8SgxqC6hPlRgtnoOlJgNEekxHUY1nslzNcQ\ng1wfuRdI7dgM1IuOkbYckouuBmiolugz+hOFexvmayCvqJQMVY70T2yibjS4MF1f8oEr8lKo3XyZ\nYaJMGfSYSykFsJRQLvaPeu8Q5DfUF0VodghiGKYwpIyDPpAGcJlS8F6b9Lc6JFr3GepokF0rEtB1\nuMUUJ4VGvEE89OQoqyPXilOqfIosjjR0GO3kIzL5yFVS6MWkeocqntEuLgpZwkEoo0UAllMK3vsF\n8YvogugAw894AKh2JelqRTDyKQHwF6qFQKbPk1wr7x8S9tf0B3R5ZKHaKBPBrhWGiRjvqhYAGUVO\nysL4d1dwSnAoVkMWJ/Kwa4VhIkQKwHnVQsCDRf5sDRaJjt1AFkcauo5uA48EZGucYfxFtSsPyBhr\nJOWydEysLCm5BySjq/7iOHKGiRALQZxklAx58+XLN2GB6JgwLpEJXKeSEukwDOOIFIDTqoWYhmS9\nLvxI/AI4ThZFGrKTi8mCo1YYJkJMQg9jqRTEhZjXbBYf+zRRGA9YCtKa19NRiQOsyBkmUpQAWKVa\nCGRGBqQcV+f/Rezjf5ssDhnLX6+rArfgqBWGiRApaBHcgRSIc5PXPYElomO3kMWJPGyRRxy+wcXH\nL1ULgMx+nZWUgiP/JLbIdXH+awiHH0YcXeNeGf/4ULUA8LDw74PLYvmFuzIzbLAxDOOaQu7RqwH8\nCaXi5pvE6W81cK0sVC2AAFbkTOjgTmuPcGWkRApZ2+cB/JZS8eKFSIqOvUepUC5XVAsgIPBnIqbi\npAyA6Ewys7toPtn3VgfXSgxE6/W75eIXkQZxlbKeoXz1eKk7cJ16FdhPrgpu9+iSfW+blUkxi7X5\nsmvWvilcwHlOg40lZCnyfM+il+czcEV+BaxQGMYvSgAo3mgegAeLvOIWYbKtazXY6k1X3RW4Il8A\nfScMGCYKCOOwA+QKgGFKwZuAWsGh82fp8siCFfk0nDSLYfwjDdqmx7KJIeNGdU3PH4QvgCUavKF4\nY4lpLoJ3bGIYvzABvKNaCGQiZ24llEvd9SBuEhwb/tiDQJIIpUW+bds2xONxNDU1zXx35swZtLW1\nob6+HuvXr8fZs7PjnV27dqGurg4NDQ04dOhQ3jp5iT7D+IsGrmScAzBBKPfHT35XGOJXfacHgSSR\nzyJ3o89Ev/WqE20V+X333Yfe3t4533V1daGtrQ3Hjh3DunXr0NXVBQAYGBjAvn37MDAwgN7eXjzw\nwANIp+cHivFWbwzjHyXQYrN5lAIYJ5SrfFq8Ev/0f3oQSBL5Uuy60Wei33rVibaKfO3atSgvL5/z\n3YEDB9DZ2QkA6OzsxP79+wEAPT096OjoQFlZGWpqalBbW4u+vr55dU5m/emwkwnDRIkUgKOqhUDG\nwiT5yN8RK7Xrg1jpVICgfNEpzNWVhXAt1/j4OOLxOAAgHo9jfDzz3j1x4gQSicTM7xKJBEZHR+eV\nL8v603XigGHCzPuqBUDGIr+GUrBDrBeMaro8sghqMVoJ5urKQnh6wRiGAcMQe3fyHWMfOcP4RwzA\nStVCICMHyYA+uxiLRceariPLI4vrVQsgwLUij8fjOHnyJABgbGwMFRUVAICqqioMD88GDo2MjKCq\nqmpeeQ4/dAe/9Bg3pAEMqRYCmU0ljlEKllyCMDglcY4sjyw0CGXPi2tF3t7eju7ubgBAd3c3Nm3a\nNPP93r17kUwmMTQ0hMHBQaxevXpe+YXIZEZjnMETw4wbYgA08ECgBBBb1jac2mmKXa5vqM+yE7Q7\n2KkhZ2scd3R04MiRI5iYmEB1dTW+/e1v49FHH8XmzZvx3HPPoaamBi+++CIAoLGxEZs3b0ZjYyNK\nS0uxZ8+evK4V0vZPDMM4QheL3AAtffiyzwLGy4KDGigPa+IxhmD85U4NOcM0zcCMPsMwZrahUn1P\ndN0NWwZRvjamMJ+A+s10liCTPtxt3pfBR4HVXfkzOO5YCez4nXfZwsglAHaqOvCVnUk4C6fJh0x/\ncb4mMeDP0MlLnZRrZiUuphjmHHTw414AMR/5mkwu87xoNrnml/Kk1Bu4Ip8CXZH7raBM+BPb7qVO\nVspyKYb23B1wVrp8L0fLR+521eNbd9uUaXMpmA+UYNbg88u1QqmX93hgmAhRAuCxgLexyfdyXLUU\neOV296seb/3lI1gg+sEbrkWTjrUyXbfFjErS2Koe3ro9v51rxIqLz/5NLOcc+Ro5+7gf7pzsVXWq\n2zub3HahyibquLmjb1nXLuNBMXL+pSLqT9b3lI10ZO9r/IePgJ1vuy9XOnBYnL1Rg44cVNyM20tV\n4iNXjdvhtd3bN98bOp1zjnw3P/u4H2/37HbWyZ2Q2y5U2UQPVK4Sk3XtMh5gM+dfKqL+lEamL1E8\nK1R3p4gJAAcpBVtOi5Nt6WYG+4jbPhK4IueVnQzjLxpsbQmAqHcX/9VMZNs8NNj52M/pBy/KWIki\nZxjGP3RYEHQ1MuGHrvl6F86Ijt2rJvnAQswaoH4qTC+jvsAVuZfhNKMXxTZTruJ63Z7TAPAHPwQp\ncM5cPgZwkliZcEQxqiaI3Npn2ETw61+cGr6B903ORx4dnFgQUVL2KhaIuz2nicyCILfIHimTN1/e\n1SwOF3+RLI40gu7PTnUl+8gZX1GfHaP4oGyl6MW4ylfWBNFXf+gtVIqOzU/dFDi69me2yG1w8sIJ\nw0spDDKGAZ3bMVs2Dba2xCSIaQI+ZbOzUFgUhwKUxJELA/41w0m/CUPfCoOMYUDndrRkMwDh5sVB\nUopMvhXXrPpnNIuOvUYWRxq6ugoDl8vp1kVMNNDZio0qY6oFmIa00G1wD94RHbudLoss2LUyTRr6\nNgYjH52t2ChiAmhSLQQyzzgpwuPR98Q+ftUpHaHv9pS6jhQYhiFyXLUAyLhVPkkpuBTiyc6GwsXz\nuW1zUyOQI2oQfAJGbcMPGYbxhxgyFqMOo6ALAAipVoBTNor83cLF80305qZGSIO+SDRot7C24YeM\nPrD/OlpYbkvSJKNkUiAqy7PA+6JjwiWfwaGrWzhwRa7rm0OznPUz+NleFMtNVx+hDqh6MVp918rC\n+UdFcmSzEMTomW/ZxMHXkcWRhqzn0Y8FWIGi6xtNVqIh2Tco6PYq1CGKKAGda1S5NKy+GwMQB5BQ\nJEc25CX6h4BFomOU3ZwlI+t5lN1XdDWQQ4sO/kkv6PqilU0UVxinAIzCxjURIFcB4iyGduz+G3Gq\na4GpbimxIO5n0ArT6fmUKfLs4aAlSHaGsezPbm9QvnKiOih1uz3upYPpuro095xeO5LX++C2vNsV\nxpRE/7I3zXCCAZvJwjDw9I/E7juBz8gyPsJuROXDqWGlTJFbw8HsmWTr4UrnfHZ7g/KVE9VBqdvt\ncdl5LGTWTyX3nF4tea/3IYj9XN3gx6YZTjDhKErPd8pAtMgf/hFuFhz6+DhZHGnoOorjJfoMEzEG\nVQsA4CKAAUrBH39d6Bpa0EqXRxa6uh6VbPWmw3ZvDBNVrlctAGZH1q4Z/kgcZVhDlUYeurpvbBX5\ntm3bEI/H0dQ0u+h3x44dSCQSaG1tRWtrK1566aWZY7t27UJdXR0aGhpw6NChvHWWQ4+OxjBRRYNw\naxgghvR+IY1y0TENlujrGh1iK9d9992H3t7eOd8ZhoGHH34Y/f396O/vx4YNGwAAAwMD2LdvHwYG\nBtDb24sHHngA6fT8d/I5AB/Jk59hmBwuqhYAHpbBP2gT4qqBIg+la2Xt2rUoL5//fjTN+QOMnp4e\ndHR0oKysDDU1NaitrUVfX9+8301Bn81hGf/RdXIoqsQAfNZDeVn3Kw1iXvRnPiOOI/80WZzIQxop\nfO9730NzczO2b9+Os2fPAgBOnDiBRGJ2KUIikcDo6Oi8spYin4S6xSXWCji746oVkK5DODdkh+CJ\nrkdGO9vdy9wwQK/3Vvf7kgZthyALWT7gqwBUUAom3xDnI3+PLE7oSGE25beT/C6u++XXvvY1DA0N\n4ejRo6isrMQ3vvEN4W8NY/4jc9X0XxncL/fOzWJGxYT9S0SHXYx0HcK5ITtlseh6ZLSz3b3MDQO0\n7i21D+W7DhXx4nZc61O9bkgBOE8pOFGK+eP4aUgVhpMSZHSk9VcI132poqIChmHAMAzcf//9M+6T\nqqoqDA8Pz/xuZGQEVVVV88p7UZK5WcwY/dHdgpWBinhxO173qV63kF5wx9NiA0+DXCtXqRZAgOvn\nbGxsdv+Rn/70pzMRLe3t7di7dy+SySSGhoYwODiI1avn75aqg7XLBIeuI4so98G4agGQschJk66f\nSQvDkyd66PLIQtfdzWwjhDo6OnDkyBFMTEyguroajz/+OA4fPoyjR4/CMAzcfPPN+MEPfgAAaGxs\nxObNm9HY2IjS0lLs2bMnr2uFYRh/0SEqbAEyPvIP3BZc/udYhIM4l+fQDX8JYK9XybxhQE8jwDDz\nhaD4dTLDEM9IMwzjCWsi93MAXlUsSykyyQrdvlQGtwItz+e35nfcBOw44V22MHIJ+aMFLYrBhckw\nRYMJb1ErskiD6CPfZLMhxdVkcaShq8IMXC4v4V8yHTWiC4/Sxgmq29nKYskEgzX/pMPKToC4Q9A5\n4BrRMQ18GpYIujmNA3/OSuEsnCYfMu+jaBIuShsneI0O8kp2+CFDx63S0CVKj9SPJjNuhLwIA8yZ\nwBX5JDhpFsO4wa1CJC3EkYwJYoTH4sVoFB37PVkcaVgvVQ0GB3PgkS/DKMKv4fmNPtXrBnLSrOsX\niJf230YWRxq6jjBD5SNnmCjhl1U35FO9bjBA3Hdg9xmx4e06lrF4CFyRF+MEWLFdb5A4MQqC2oZO\ntYFSiszKQ1LWQR8gJce71yY4ZYQuS9QJXMekEK0JRSfoOhyLAk6s2qC2oVPtN7WS0emwjLwENtEn\ndmxcJnat8EYGQthYZJiIYLktT6kWBJmAhglKwT2nxS/erKGG6tFPPlTKxIpcc2R0Dqc3WceHg3GO\ntb3a7aoFQcYiX0wp+Lm0WJFnxSWqHv3kw0tWTa+wItccGR3WqWtBx4eDcc+vVQuAjCIn+er/r1n8\nAriOLI40CilMVc8QR60wTMT49w7vdViKIY7Z6JNcF7X1m3yTk2TXyrJ3xAuaNJhc03W+K3BFvgD6\nzKozTBT5hxe812EprD9idsu23KX/1m8u5ylvgKhcjsXFUStRyp8hGSVRK7xnJ8P4h3CJOwGqq2Ah\ngD+hFLz3BJYKDn1wmChMEaBkiT5l6S67YxhZRLkvxQChIgySKRCzMP6PWD9Ua3Bhuvad0Ex28kQc\nI4so96U0gAHVQsDDEv2T4heAsYIujyx07Ts82ckwEaNctQDIWOSkdLr3PiLeqo60d1xxELgi5z07\nGcZfdJiDKgXxhbJmN86Kjh0jiyMNXV0YbJEXAdzexYUOyiYJYJxSsMsmn/rnyOJIQ0b4oR/3R4d7\nzvgMj4CKi9OqBYCHXCv/AQhd4boGcbvEj8tg1wrDRAwNgjvoNIqz1X7UH6gkedF1dMsWOcNEDB02\nlrgKwA2UgnFgmeDQUlKFctHVCGVFzjARo0a1APCwRD9ts4Dz87y0U4SSlZ1MBm6LWbgtZvHaFm9K\nkcIbaQBXKAU//69zfMhz2uJoRJzkPqDER87DgAzcLWfhtpjFS1vEADTIEsQjpOv4xBP4SFiHescG\n+8insXImMwwjnzSAD1ULgUwcOW3S9bJ4RKLBnp3qXyX5YeOYYSJGUrUAyLhESMm7jpwUL+3/U7I4\nkccwTTOwl4xh6DowYRiG0Rs7VU3Ka0MlwHcGwzBM0cCuFYZhmJDDipxhGCbksCJnGIYJOYEq8t7e\nXjQ0NKCurg67d+8O8tRK2LZtG+LxOJqamma+O3PmDNra2lBfX4/169fj7NnZpJ27du1CXV0dGhoa\ncOjQIRUi+8Lw8DDuvPNO3HrrrbjtttvwzDPPACjOtrhy5QrWrFmDlpYWNDY24rHHHgNQnG1hkUql\n0Nraio0bNwIo7rYgYwbE1NSUuXz5cnNoaMhMJpNmc3OzOTAwENTplfDqq6+av/nNb8zbbrtt5rtv\nfvOb5u7du03TNM2uri7zkUceMU3TNN99912zubnZTCaT5tDQkLl8+XIzlUopkVs2Y2NjZn9/v2ma\npnn+/Hmzvr7eHBgYKMq2ME3TvHjxommapjk5OWmuWbPGfO2114q2LUzTNJ966inzK1/5irlx40bT\nNIvzGfFKYBZ5X18famtrUVNTg7KyMmzZsgU9PT1BnV4Ja9euRXn53PT6Bw4cQGdnJwCgs7MT+/fv\nBwD09PSgo6MDZWVlqKmpQW1tLfr6+gKX2Q9uvPFGtLS0AACuueYarFy5EqOjo0XZFgCwaNEiAEAy\nmUQqlUJ5eXnRtsXIyAgOHjyI+++/fyaqrVjbwguBKfLR0VFUV1fPfE4kEhgdHQ3q9NowPj6OeDyz\nmVU8Hsf4eCb9/okTJ5BIJGZ+F9X2OX78OPr7+7FmzZqibYt0Oo2WlhbE4/EZl1OxtsVDDz2EJ598\nErHYrCoq1rbwQmCKnBcDzccwDNt2iVqbXbhwAffccw+efvppLFmyZM6xYmqLWCyGo0ePYmRkBK++\n+ipeeeWVOceLpS1+9rOfoaKiAq2trcI1JsXSFl4JTJFXVVVheHh45vPw8PCct2uxEI/HcfLkSQDA\n2NgYKioqAMxvn5GREVRVVSmR0Q8mJydxzz33YOvWrdi0aROA4m0Li6VLl+LLX/4y3nzzzaJsizfe\neAMHDhzAzTffjI6ODrz88svYunVrUbaFVwJT5KtWrcLg4CCOHz+OZDKJffv2ob29PajTa0N7ezu6\nu7sBAN3d3TNKrb29HXv37kUymcTQ0BAGBwexevVqlaJKwzRNbN++HY2NjXjwwQdnvi/GtpiYmJiJ\nwrh8+TJ+/vOfo7W1tSjbYufOnRgeHsbQ0BD27t2LL37xi3j++eeLsi08E+TM6sGDB836+npz+fLl\n5s6dO4M8tRK2bNliVlZWmmVlZWYikTB/+MMfmqdPnzbXrVtn1tXVmW1tbeaHH3448/snnnjCXL58\nublixQqzt7dXoeRyee2110zDMMzm5mazpaXFbGlpMV966aWibIu3337bbG1tNZubm82mpibzO9/5\njmmaZlG2RTaHDx+eiVop9ragEGjSLIZhGEY+vLKTYRgm5LAiZxiGCTmsyBmGYUIOK3KGYZiQw4qc\nYRgm5LAiZxiGCTn/DwKzmR9+MJSkAAAAAElFTkSuQmCC\n" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "imshow(A[:200,:500].todense(),cmap=cm.hot)" ] }, { "cell_type": "code", "execution_count": 108, "id": "d9af2a31", "metadata": { "collapsed": false }, "outputs": [], "source": [ "B = dot(A,A.T)" ] }, { "cell_type": "code", "execution_count": 109, "id": "78810156", "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 109, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAQMAAAD9CAYAAAC4PhIWAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "imshow(log(1+B.todense()),cmap=cm.hot)" ] }, { "cell_type": "code", "execution_count": 110, "id": "d422ca29", "metadata": { "collapsed": false }, "outputs": [], "source": [ "As = A\n", "A = array(As.todense())" ] }, { "cell_type": "code", "execution_count": 111, "id": "1551f4e0", "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "(500, 43259)" ] }, "execution_count": 111, "metadata": {}, "output_type": "execute_result" } ], "source": [ "A.shape" ] }, { "cell_type": "markdown", "id": "9dff6f6c", "metadata": {}, "source": [ "## TF-IDF" ] }, { "cell_type": "code", "execution_count": 114, "id": "dadc77cc", "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 114, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAXIAAACjCAYAAACXMZU3AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nYII=\n" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "tf = log(1+A)\n", "imshow(tf[:200,:500],cmap=cm.hot)" ] }, { "cell_type": "code", "execution_count": 119, "id": "25d5b45a", "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 119, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAXYAAAD9CAYAAACoXlzKAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "idf = log(len(A)/(1.0+sum(A>0,axis=0)))\n", "plot(idf[:500])" ] }, { "cell_type": "code", "execution_count": 121, "id": "74bf3643", "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 121, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAXIAAACjCAYAAACXMZU3AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "tfidf = tf * idf[newaxis,:]\n", "imshow(tfidf[:200,:500],cmap=cm.hot)" ] }, { "cell_type": "markdown", "id": "c0a65577", "metadata": {}, "source": [ "## Vector Space Retrieval with Weight Vector" ] }, { "cell_type": "markdown", "id": "b0a92fe5", "metadata": {}, "source": [ "Once we have an array of term frequencies or TF-IDF scores, we can use it to perform scoring using dot products.\n", "\n", "This isn't just idle experimentation; the representation as vectors and dot products opens up a number of possibilities:\n", "\n", "- we can use efficient sparse matrix packages for representing documents and queries\n", "- we can take advantage of efficient numerical codes\n", "- we can perform linear algebraic operation on the data\n", "- we can use this data as input to pattern recognition algorithms\n", "\n", "We construct a query vector like this. Here, the query uses equal weights for the terms, but we could use different weights for each term." ] }, { "cell_type": "code", "execution_count": 131, "id": "b3054f04", "metadata": { "collapsed": false }, "outputs": [], "source": [ "weights = zeros(A.shape[1])\n", "weights[wids[\"operation\"]] = 1\n", "weights[wids[\"degree\"]] = 1\n", "weights[wids[\"find\"]] = 1" ] }, { "cell_type": "markdown", "id": "baf2a71a", "metadata": {}, "source": [ "### Boolean Queries with Dot Products" ] }, { "cell_type": "markdown", "id": "942f7839", "metadata": {}, "source": [ "Now to find the total number of query terms in each document, we compute this dot product.\n", "Note that we threshold the term frequency matrix `A>0` because we only want to add\n", "a score of `1` for each term occurrence." ] }, { "cell_type": "code", "execution_count": 139, "id": "d7c44d68", "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "array([ 3., 3., 3., 3., 3., 3., 3., 3., 3., 3.])" ] }, "execution_count": 139, "metadata": {}, "output_type": "execute_result" } ], "source": [ "scores = dot(A>0,weights)\n", "-sort(-scores)[:10]" ] }, { "cell_type": "code", "execution_count": 140, "id": "e9689bf2", "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "array([366, 153, 329, 482, 104, 409, 111, 269, 124, 281])" ] }, "execution_count": 140, "metadata": {}, "output_type": "execute_result" } ], "source": [ "argsort(-scores)[:10]" ] }, { "cell_type": "markdown", "id": "ffa009aa", "metadata": {}, "source": [ "We can actually use this for a conjunctive query; this is the list of documents in which all three query terms occur." ] }, { "cell_type": "code", "execution_count": 141, "id": "a7e452f5", "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "array([ 66, 104, 111, 124, 125, 153, 269, 281, 329, 353, 366, 409, 482])" ] }, "execution_count": 141, "metadata": {}, "output_type": "execute_result" } ], "source": [ "find(scores==3)" ] }, { "cell_type": "markdown", "id": "bdd41929", "metadata": {}, "source": [ "### Term Frequencies as Scores" ] }, { "cell_type": "markdown", "id": "91e2faf5", "metadata": {}, "source": [ "We can perform the same computation using the term frequency matrix for scoring." ] }, { "cell_type": "code", "execution_count": 135, "id": "0cef8708", "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "array([ 10., 10., 10., 9., 8., 8., 8., 7., 7., 7.])" ] }, "execution_count": 135, "metadata": {}, "output_type": "execute_result" } ], "source": [ "scores = dot(A,weights)\n", "-sort(-scores)[:10]" ] }, { "cell_type": "code", "execution_count": 136, "id": "8fd94bb1", "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "array([267, 372, 286, 25, 232, 311, 134, 179, 467, 133])" ] }, "execution_count": 136, "metadata": {}, "output_type": "execute_result" } ], "source": [ "argsort(-scores)[:10]" ] }, { "cell_type": "markdown", "id": "d03eed4a", "metadata": {}, "source": [ "As noted before, this is not such a good idea, because terms like \"the\" or \"have\" get too much weight." ] }, { "cell_type": "markdown", "id": "eaa6c2ce", "metadata": {}, "source": [ "### TF-IDF Vectors" ] }, { "cell_type": "code", "execution_count": 123, "id": "830ac9e9", "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[(34798, 'she'), (1, '!'), (18802, 'her'), (43145, 'you'), (2274, '?'), (25820, 'mr.'), (24575, 'me'), (26046, 'my'), (43160, 'your'), (2876, 'af'), (36717, 'state'), (30599, 'program'), (33500, 'said'), (33913, 'school'), (27801, 'our'), (19033, 'him'), (17444, 'government'), (453, '1'), (41985, 'water'), (38016, 'system')]\n" ] } ], "source": [ "print [(x,dictionary[x]) for x in argsort(-sum(tfidf,axis=0))[:20]]" ] }, { "cell_type": "code", "execution_count": 124, "id": "4dffc291", "metadata": { "collapsed": false }, "outputs": [], "source": [ "weights = zeros(A.shape[1])\n", "weights[wids[\"operation\"]] = 1\n", "weights[wids[\"degree\"]] = 1\n", "weights[wids[\"find\"]] = 1" ] }, { "cell_type": "code", "execution_count": 125, "id": "ab371742", "metadata": { "collapsed": false }, "outputs": [], "source": [ "scores = dot(A,weights)" ] }, { "cell_type": "code", "execution_count": 126, "id": "892a99ed", "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[ 2. 4. 0. 2. 1. 3. 1. 1. 1. 0. 1. 1. 0. 1. 0. 0. 0. 1.\n", " 4. 0. 1. 1. 2. 2. 0. 9. 1. 1. 0. 1. 2. 1. 0. 1. 2. 0.\n", " 1. 0. 0. 0. 1. 0. 6. 2. 0. 3. 0. 2. 0. 0. 1. 2. 1. 1.\n", " 2. 1. 1. 3. 1. 0. 2. 3. 0. 0. 0. 2. 3. 0. 2. 3. 2. 2.\n", " 0. 1. 0. 1. 2. 1. 0. 0. 0. 0. 1. 2. 0. 3. 0. 4. 4. 0.\n", " 2. 1. 3. 0. 2. 2. 3. 1. 4. 2.]\n" ] } ], "source": [ "print scores[:100]" ] }, { "cell_type": "code", "execution_count": 127, "id": "1d724cd3", "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "array([499, 419, 149, 150, 151, 157, 159, 406, 165, 403])" ] }, "execution_count": 127, "metadata": {}, "output_type": "execute_result" } ], "source": [ "argsort(scores)[:10]" ] }, { "cell_type": "markdown", "id": "55f9d391", "metadata": {}, "source": [ "## Document Similarity and Dot Products" ] }, { "cell_type": "markdown", "id": "6c30132b", "metadata": {}, "source": [ "The above considerations have been motivated by the idea of \"querying\" a database: looking for documents containing terms.\n", "\n", "We can also view documents as objects whose similarity we want to determine." ] }, { "cell_type": "markdown", "id": "051b9d8e", "metadata": {}, "source": [ "In principle, we might try to say something like: documents are similar if their term vectors $v$ and $w$ are similar.\n", "\n", "We usually measure vector similarity as Euclidean distance $||v-w||$\n", "\n", "This turns out not to be such a good idea in general, since the TF-IDF scores are not normalized vectors; if one document is a lot longer than the other, it gets a larger score, even though they may both be basically \"the same\" text.\n" ] }, { "cell_type": "code", "execution_count": 130, "id": "c0b07265", "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "(0.093446482673695874, 41.327106487837028)" ] }, "execution_count": 130, "metadata": {}, "output_type": "execute_result" } ], "source": [ "lengths = sum(tfidf**2,axis=0)**.5\n", "amin(lengths),amax(lengths)" ] }, { "cell_type": "markdown", "id": "de115d72", "metadata": {}, "source": [ "A more common form of determining similarity is therefore the normalized dot product or \"correlation\"." ] }, { "cell_type": "code", "execution_count": 150, "id": "4b9cdd36", "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "array([ 1., 1., 1., 1., 1., 1., 1., 1., 1., 1.])" ] }, "execution_count": 150, "metadata": {}, "output_type": "execute_result" } ], "source": [ "norm_tfidf = tfidf/(sum(tfidf**2,axis=1)**.5)[:,newaxis]\n", "sum(norm_tfidf**2,axis=1)[:10]" ] }, { "cell_type": "code", "execution_count": 152, "id": "8cf68e3e", "metadata": { "collapsed": false }, "outputs": [], "source": [ "similarities = dot(norm_tfidf,norm_tfidf.T)" ] }, { "cell_type": "code", "execution_count": 156, "id": "63599588", "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 156, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAQMAAAD9CAYAAAC4PhIWAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n4FDFf1UKW4z+bOfRAAAAAElFTkSuQmCC\n" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "imshow(similarities,cmap=cm.hot)" ] }, { "cell_type": "code", "execution_count": 157, "id": "88c5179b", "metadata": { "collapsed": false }, "outputs": [], "source": [ "fill_diagonal(similarities,0)" ] }, { "cell_type": "code", "execution_count": 158, "id": "503ec191", "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 158, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAQMAAAD9CAYAAAC4PhIWAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n8WdkB0LcogAAAABJRU5ErkJggg==\n" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "imshow(similarities,cmap=cm.hot)" ] }, { "cell_type": "markdown", "id": "7a166e3e", "metadata": {}, "source": [ "Once we view dot products as determining document similarity, we can return and ask what our \"weighted queries\" mean. We can think of them in one of two ways:\n", "\n", "- a query is a small document that is a \"sample\" from the same distribution as the original document\n", "\n", "- a query represents a large document, but we perform the dot product in a subspace corresponding to relevant terms\n", "\n", "The second view is usually the better one." ] }, { "cell_type": "markdown", "id": "afd74fe1", "metadata": {}, "source": [ "Note again the dimensionalities of vectors and documents:" ] }, { "cell_type": "code", "execution_count": 181, "id": "2a154be5", "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "(500, 43259)" ] }, "execution_count": 181, "metadata": {}, "output_type": "execute_result" } ], "source": [ "tfidf.shape" ] }, { "cell_type": "markdown", "id": "0a89e220", "metadata": {}, "source": [ "We are dealing with a very high dimensional space and a small number of samples.\n", "This problem is similar to what we have in kernel-based learning methods.\n", "\n", "Generally, we can make operations more efficient by \"kernelizing\" out dot products and performing all the operations in document space instead of the original feature space." ] }, { "cell_type": "code", "execution_count": null, "id": "286e6131", "metadata": { "collapsed": false }, "outputs": [], "source": [] } ], "metadata": {}, "nbformat": 4, "nbformat_minor": 5 }