annotate bin/spearman.py @ 31:e7c8e64c2fdd

get multi-ranking done right
author Henry S. Thompson <ht@inf.ed.ac.uk>
date Thu, 17 Nov 2022 13:51:19 +0000
parents c73ec9deabbe
children 91741bf3ab51
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50337cd1d16f framework for stats over results of rank correlations
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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
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5c5440e7854a a bit more
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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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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
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72 def first_diff(ranks):
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73 # first disagreement with baseline == {1,2,...}
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74 for i in range(len(ranks)):
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75 if ranks[i]!=i+1.0:
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76 return i
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77 return i+1
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78
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79 def ranks():
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80 # Combine segment measures:
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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)])
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98
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99 counts=loadtxt(sys.argv[1]+".csv",delimiter=',')
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100 # "If axis=0 (default), then each column represents a variable, with
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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
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104 corr=stats.spearmanr(counts,nan_policy='omit').correlation
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105
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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
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110 x=np.array([np.concatenate((corr[i][1:i],
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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)
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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
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121 ### I need to review rows, e.g. counts[0] is an array of 101 counts
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122 ### for the most common label in the complete crawl,
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123 ### from the complete crawl and all the segments
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124 ### versus columns, e.g. counts[:,0] is an array of 100 decreasing counts
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125 ### for all the labels in the complete crawl