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=head1 NAME |
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Text::NSP::Measures::2D::Dice::jaccard - Perl module that implements |
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the jaccard coefficient. |
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=head1 SYNOPSIS |
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=head3 Basic Usage |
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use Text::NSP::Measures::2D::Dice::jaccard; |
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my $npp = 60; my $n1p = 20; my $np1 = 20; my $n11 = 10; |
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$jaccard_value = calculateStatistic( n11=>$n11, |
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n1p=>$n1p, |
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np1=>$np1, |
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npp=>$npp); |
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if( ($errorCode = getErrorCode())) |
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{ |
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print STDERR $errorCode." - ".getErrorMessage()."\n""; |
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} |
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else |
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{ |
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print getStatisticName."value for bigram is ".$jaccard_value."\n""; |
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} |
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=head1 DESCRIPTION |
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Assume that the frequency count data associated with a bigram |
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is stored in a 2x2 contingency table: |
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word2 ~word2 |
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word1 n11 n12 | n1p |
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~word1 n21 n22 | n2p |
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-------------- |
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np1 np2 npp |
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where n11 is the number of times occur together, and |
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n12 is the number of times occurs with some word other than |
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word2, and n1p is the number of times in total that word1 occurs as |
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the first word in a bigram. |
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The Jaccard Coefficient is the ratio of number of times the words |
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occur together to the number of times atleast any one of the words |
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occur. It is defined as: |
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n11 |
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--------------- |
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n11 + n12 + n21 |
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The Jaccard coefficient can also be computed by applying a |
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transformation to the dice coefficient: |
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$jaccard = $dice/(2-$dice) |
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We use this computation of jaccard in our implementation. |
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=head2 Methods |
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=over |
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=cut |
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package Text::NSP::Measures::2D::Dice::jaccard; |
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use Text::NSP::Measures::2D::Dice; |
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use strict; |
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use Carp; |
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use warnings; |
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no warnings 'redefine'; |
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require Exporter; |
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our ($VERSION, @EXPORT, @ISA); |
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@ISA = qw(Exporter); |
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@EXPORT = qw(initializeStatistic calculateStatistic |
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getErrorCode getErrorMessage getStatisticName); |
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$VERSION = '0.97'; |
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=item calculateStatistic() - method to calculate the jaccard coefficient value |
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INPUT PARAMS : $count_values .. Reference of an hash containing |
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the count values computed by the |
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count.pl program. |
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RETURN VALUES : $jaccard .. Jaccard Coefficient value for this bigram. |
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=cut |
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sub calculateStatistic |
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{ |
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my %values = @_; |
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my $dice; |
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my $jaccard; |
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#compute the dice coefficient |
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if( !($dice = Text::NSP::Measures::2D::Dice::computeVal(\%values)) ) |
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{ |
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return; |
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} |
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#compute the jaccard coefficient from the dice coefficient |
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$jaccard = $dice/(2-$dice); |
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return ($jaccard); |
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} |
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=item getStatisticName() - Returns the name of this statistic |
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INPUT PARAMS : none |
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RETURN VALUES : $name .. Name of the measure. |
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=cut |
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sub getStatisticName |
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{ |
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return "Jaccard Coefficient"; |
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} |
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1; |
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__END__ |