{ "metadata": { "name": "" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "Both the outlink and inlink distributions have the vast majority of their mass near zero and decay very rapidly." ] }, { "cell_type": "code", "collapsed": false, "input": [ "import statsmodels.api as sm\n", "from scipy.io import loadmat\n", "from pandas import Series\n", "from numpy import array" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 58 }, { "cell_type": "code", "collapsed": false, "input": [ "A = loadmat('A.mat')['A'].astype('int32')" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 2 }, { "cell_type": "code", "collapsed": false, "input": [ "outlinks = Series(array(A.sum(1).flatten())[0])\n", "inlinks = Series(array(A.sum(0).flatten())[0])" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 26 }, { "cell_type": "markdown", "metadata": {}, "source": [ "###Outlink distribution" ] }, { "cell_type": "code", "collapsed": false, "input": [ "outlinks.describe()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 22, "text": [ "count 185314.000000\n", "mean 13.126801\n", "std 46.984216\n", "min 0.000000\n", "25% 1.000000\n", "50% 1.000000\n", "75% 3.000000\n", "max 2799.000000\n", "dtype: float64" ] } ], "prompt_number": 22 }, { "cell_type": "code", "collapsed": false, "input": [ "outlinks.hist(bins=20);" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 54 }, { "cell_type": "code", "collapsed": false, "input": [ "ecdf = sm.distributions.ECDF(outlinks)\n", "\n", "x = linspace(min(outlinks), max(outlinks))\n", "y = ecdf(x)\n", "step(log(x+1), y)\n", "ylim(.9,1);" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 62 }, { "cell_type": "markdown", "metadata": {}, "source": [ "###Inlink distribution\n", "\n", "Same story, but even more extreme." ] }, { "cell_type": "code", "collapsed": false, "input": [ "inlinks.describe()" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 29, "text": [ "count 185314.000000\n", "mean 13.126801\n", "std 138.280052\n", "min 0.000000\n", "25% 0.000000\n", "50% 0.000000\n", "75% 2.000000\n", "max 46769.000000\n", "dtype: float64" ] } ], "prompt_number": 29 }, { "cell_type": "code", "collapsed": false, "input": [ "inlinks.hist(bins=20)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 59, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 59 }, { "cell_type": "code", "collapsed": false, "input": [ "log(inlinks+1).hist(bins=20, log=True)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 40, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 40 }, { "cell_type": "code", "collapsed": false, "input": [ "ecdf = sm.distributions.ECDF(inlinks)\n", "x = linspace(min(inlinks), max(inlinks))\n", "y = ecdf(x)\n", "step(log(x+1), y)\n", "ylim(.95, 1);" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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"text": [ "" ] } ], "prompt_number": 65 } ], "metadata": {} } ] }