{ "metadata": { "name": "text_analysis" }, "nbformat": 2, "worksheets": [ { "cells": [ { "cell_type": "markdown", "source": [ "
This notebook will analyze a plain text file treating it as a list of", "newline-separated sentences (e.g. a list of paper titles).
", "It computes word frequencies (after doing some naive normalization by", "lowercasing and throwing away a few overly common words). It also computes,", "from the most common words, a weighted graph of word co-occurrences and", "displays it, as well as summarizing the graph structure by ranking its nodes in", "descending order of eigenvector centrality.
", "This is meant as an illustration of text processing in Python, using matplotlib", "for visualization and NetworkX for graph-theoretical manipulation. It should", "not be considered production-strength code for serious text analysis.
", "Author: Fernando Perez
" ] }, { "cell_type": "code", "collapsed": true, "input": [ "%run text_analysis.py" ], "language": "python", "outputs": [], "prompt_number": 1 }, { "cell_type": "code", "collapsed": true, "input": [ "default_url = \"http://bibserver.berkeley.edu/tmp/titles.txt\"", "n_words = 15", "n_nodes = 15", "url = default_url", " " ], "language": "python", "outputs": [], "prompt_number": 2 }, { "cell_type": "markdown", "source": [ "Fetch text and do basic preprocessing." ] }, { "cell_type": "code", "collapsed": true, "input": [ "text = get_text_from_url(url).lower()", "lines = text.splitlines()", "words = text_cleanup(text)" ], "language": "python", "outputs": [], "prompt_number": 3 }, { "cell_type": "markdown", "source": [ "Compute frequency histogram." ] }, { "cell_type": "code", "collapsed": true, "input": [ "wf = word_freq(words)", "sorted_wf = sort_freqs(wf)" ], "language": "python", "outputs": [], "prompt_number": 4 }, { "cell_type": "markdown", "source": [ "Build a graph from the n_nodes most frequent words." ] }, { "cell_type": "code", "collapsed": true, "input": [ "popular = sorted_wf[-n_nodes:]", "pop_words = [wc[0] for wc in popular]", "co_occur = co_occurrences(lines, pop_words)", "wgraph = co_occurrences_graph(popular, co_occur, cutoff=1)", "centrality = nx.eigenvector_centrality_numpy(wgraph)" ], "language": "python", "outputs": [], "prompt_number": 5 }, { "cell_type": "markdown", "source": [ "Print summaries of single-word frequencies and graph structure." ] }, { "cell_type": "code", "collapsed": false, "input": [ "summarize_freq_hist(sorted_wf)", "summarize_centrality(centrality)" ], "language": "python", "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Number of unique words: 9265", "", "10 least frequent words:", " rosenhouse's -> 1", " reconstruction, -> 1", "parameterization -> 1", " benda) -> 1", " reconstruction: -> 1", " payoff -> 1", " electricity -> 1", " kalman-bucy -> 1", " clark--ocone -> 1", " m-estimators -> 1", "", "10 most frequent words:", " large -> 421", " process -> 428", " markov -> 440", " equations -> 471", " limit -> 518", " brownian -> 536", " model -> 542", "stochastic -> 1000", " processes -> 1087", " random -> 2356", "", "Graph centrality", " random: 0.474", " limit: 0.336", " stochastic: 0.312", " walks: 0.307", " process: 0.297", " processes: 0.259", " theorem: 0.251", " time: 0.232", " equations: 0.213", " model: 0.209", " markov: 0.197", " large: 0.19", " brownian: 0.125", " models: 0.107", " percolation: 0.0852" ] } ], "prompt_number": 6 }, { "cell_type": "markdown", "source": [ "Plot histogram and graph." ] }, { "cell_type": "code", "collapsed": false, "input": [ "plot_word_histogram(sorted_wf, n_words,\"Frequencies for %s most frequent words\" % n_words)" ], "language": "python", "outputs": [ { "output_type": "pyout", "prompt_number": 7, "text": [ "<matplotlib.axes.AxesSubplot at 0x334b250>" ] }, { "output_type": "display_data", "png": 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IyMrKiqZNm0Z2dnZka2tLU6dOpTFjxrxxnUREkyZNonHjxtHAgQNpxowZNHXqVDFPbm4u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\namrqUfzv2bNnjImJeWvaV1ZWxu3bt3P9+vVSHvS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} ], "prompt_number": 7 }, { "cell_type": "code", "collapsed": false, "input": [ "plot_word_histogram(sorted_wf, 1.0, \"Frequencies for entire word list\")" ], "language": "python", "outputs": [ { "output_type": "pyout", "prompt_number": 8, "text": [ "<matplotlib.axes.AxesSubplot at 0x3371e50>" ] }, { "output_type": "display_data", "png": 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} ], "prompt_number": 8 }, { "cell_type": "code", "collapsed": false, "input": [ "plot_graph(wgraph)" ], "language": "python", "outputs": [ { "output_type": "display_data", "png": 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96NKtDxUrVcGkQrDNjCYUKcCS24abIr4//vgjTz75JG63m6FDhzJ06FCmT58O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Mly5dipMnT+L69esQ4tfFHgqu1sNCpWh1z9fTbQjq6xuhVt0B0Ahd/R3jJhVLlizBW2+9ZWzv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\nrkJggg==\n" } ], "prompt_number": 9 } ] } ] }