Mercurial > hg > cc > cirrus_work
annotate bin/spearman.py @ 31:e7c8e64c2fdd
get multi-ranking done right
author | Henry S. Thompson <ht@inf.ed.ac.uk> |
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date | Thu, 17 Nov 2022 13:51:19 +0000 |
parents | c73ec9deabbe |
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1 #!/usr/bin/env python3 |
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2 '''Rank correlation processing for a csv tabulation of counts by segment |
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3 First column is for whole crawl, then 100 columns for segs 0-99 |
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4 Each row is counts for some property, e.g. mime-detected or tld |
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5 |
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6 For example, assuming all.tsv has the whole-crawl warc-only counts |
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7 and s...tsv have the segment counts, all with counts in column 1, |
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8 |
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9 tr -d ',' <all.tsv |head -100 | while read n m; do printf "%s%s\n" $n $(for i in {0..99}; do printf ",%s" $({ grep -w "w $m\$" s${i}.tsv || echo NaN ;} | cut -f 1 ) ; done ) ; done > all_100.csv |
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10 |
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11 will produce such a file with |
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12 * 100 rows, one for each of the top 100 counts |
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13 * 101 columns, 0 for all and 1--100 for segs 0--99 |
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14 |
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15 Usage: python3 -i spearman.py name |
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16 where name.csv has the input |
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17 ''' |
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18 |
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19 import numpy as np |
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20 from numpy import loadtxt |
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21 from scipy import stats |
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22 import statsmodels.api as sm |
26 | 23 import matplotlib.pyplot as plt |
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24 import pylab |
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25 |
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26 import sys |
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27 |
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28 def qqa(): |
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29 # q-q plot for the whole crawl |
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30 sm.qqplot(all, line='s') |
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31 plt.gca().set_title('Rank correlation per segment wrt whole crawl (warc results only)') |
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32 plt.show() |
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33 |
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34 def qqs(): |
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35 # q-q plots for the best and worst (by variance) segments |
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36 global xv, xworst, xbest |
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37 xv=[d.variance for d in xd] |
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38 xworst=xv.index(max(xv)) |
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39 xbest=xv.index(min(xv)) |
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40 print(xbest,xworst) |
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41 sm.qqplot(x[xbest], line='s') |
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42 plt.gca().set_title('Best segment (least variance): %s'%xbest) |
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43 plt.show() |
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44 sm.qqplot(x[xworst], line='s') |
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45 plt.gca().set_title('Worst segment (most variance): %s'%xworst) |
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46 plt.show() |
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47 |
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48 def plot_x(block=True): |
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49 plt.plot([xd[i].mean for i in range(100)],'bx',label='Mean of rank correlation of each segment x all other segments') |
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50 plt.plot([0,99],[xm,xm],'b',label='Mean of segment x segment means') |
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51 plt.plot(all,'rx',label='Rank correlation of segment x whole crawl') |
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52 plt.plot([0,99],[all_m,all_m],'r',label='Mean of segment x whole crawl') |
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53 plt.axis([0,99,0.8,1.0]) |
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54 plt.legend(loc='best') |
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55 plt.grid(True) |
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56 plt.show(block=block) |
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57 |
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58 def hist(): |
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59 sdd=[(i,xm-(i*xsd)) for i in range(-2,3)] |
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60 fig,hax=plt.subplots() # Thanks to https://stackoverflow.com/a/7769497 |
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61 sdax=hax.twiny() |
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62 hax.hist([xd[i].mean for i in range(100)],color='lightblue') |
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63 hax.set_title('Mean of rank correlation of each segment x all other segments') |
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64 for s,v in sdd: |
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65 sdax.plot([v,v],[0,18],'b') |
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66 sdax.set_xlim(hax.get_xlim()) |
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67 sdax.set_ylim(hax.get_ylim()) |
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68 sdax.set_xticks([v for s,v in sdd]) |
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69 sdax.set_xticklabels([str(s) for s,v in sdd]) |
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70 plt.show() |
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71 |
29 | 72 def first_diff(ranks): |
73 # first disagreement with baseline == {1,2,...} | |
74 for i in range(len(ranks)): | |
75 if ranks[i]!=i+1.0: | |
76 return i | |
77 return i+1 | |
78 | |
79 def ranks(): | |
80 # Combine segment measures: | |
81 # segID,rank corr. wrt all,inverse variance, mean cross rank corr.,first disagreement | |
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82 # convert to ranks, smallest value == highest rank |
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83 all_ranked=stats.rankdata(-all,method='average') # invert since |
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84 # large corr is good |
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85 x_variance_ranked=stats.rankdata([xd[i].variance for i in range(100)]) |
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86 # small corr variance is good |
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87 x_mean_ranked=stats.rankdata([-(xd[i].mean) for i in range(100)]) |
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88 # invert since |
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89 # large mean corr is good |
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90 fd_ranked=stats.rankdata([-first_diff(x_ranks[i]) for i in range(100)]) |
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91 # invert since |
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92 # large first diff is good |
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93 return np.array([[i, |
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94 all_ranked[i], |
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95 x_variance_ranked[i], |
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96 x_mean_ranked[i], |
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97 fd_ranked[i]] for i in range(100)]) |
29 | 98 |
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99 counts=loadtxt(sys.argv[1]+".csv",delimiter=',') |
29 | 100 # "If axis=0 (default), then each column represents a variable, with |
101 # observations in the rows" | |
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102 # So each column is a sequence of counts, for whole crawl in column 0 |
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103 # and for segments 0--99 in columns 1--100 |
29 | 104 corr=stats.spearmanr(counts,nan_policy='omit').correlation |
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105 |
29 | 106 all=corr[0][1:] |
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107 all_s=stats.describe(all) |
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108 all_m=all_s.mean |
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109 |
29 | 110 x=np.array([np.concatenate((corr[i][1:i], |
111 corr[i][i+1:])) for i in range(1,101)]) | |
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112 # The above, although transposed, works because the correlation matrix |
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113 # is symmetric |
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114 xd=[stats.describe(x[i]) for i in range(100)] |
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115 xs=stats.describe(np.array([xd[i].mean for i in range(100)])) |
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116 xm=xs.mean |
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117 xsd=np.sqrt(xs.variance) |
29 | 118 |
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119 x_ranks=[stats.rankdata(-counts[:,i],method='average') for i in range(1,101)] |
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120 |
29 | 121 ### I need to review rows, e.g. counts[0] is an array of 101 counts |
122 ### for the most common label in the complete crawl, | |
123 ### from the complete crawl and all the segments | |
124 ### versus columns, e.g. counts[:,0] is an array of 100 decreasing counts | |
125 ### for all the labels in the complete crawl |