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Text::NSP::Measures::3D::MI::tmi.3pm
Langue: en
Version: 2006-06-21 (mandriva - 01/05/08)
Section: 3 (Bibliothèques de fonctions)
NAME
Text::NSP::Measures::3D::MI::tmi - Perl implementation for True MutualInformation for trigrams.
SYNOPSIS
Basic Usageuse Text::NSP::Measures::3D::MI::tmi;
$tmi_value = calculateStatistic( n111=>10, n1pp=>40, np1p=>45, npp1=>42, n11p=>20, n1p1=>23, np11=>21, nppp=>100);
if( ($errorCode = getErrorCode())) { print STDERR $erroCode." - ".getErrorMessage()."\n"; } else { print getStatisticName."value for bigram is ".$tmi_value."\n"; }
DESCRIPTION
True Mutual Information (tmi) is defined as the weighted average of the pointwise mutual informations for all the observed and expected value pairs.tmi = [n111/nppp * log(n111/m111) + n112/nppp * log(n112/m112) + n121/nppp * log(n121/m121) + n122/nppp * log(n122/m122) + n211/nppp * log(n211/m211) + n212/nppp * log(n212/m212) + n221/nppp * log(n221/m221) + n222/nppp * log(n222/m222)]
PMI = log (n111/m111)
Here n111 represents the observed value for the cell (1,1,1) and m111 represents the expected value for that cell. The expected values for the internal cells are calculated by taking the product of their associated marginals and dividing by the sample size, for example:
n1pp * np1p * npp1 m111= -------------------- nppp
Methods
- calculateStatistic($count_values) - This method calculates the tmi value
- INPUT PARAMS : $count_values .. Reference of an hash containing
the count values computed by the
count.pl program.RETURN VALUES : $tmi .. TMI value for this trigram.
- getStatisticName() - Returns the name of this statistic
- INPUT PARAMS : none
RETURN VALUES : $name .. Name of the measure.
AUTHOR
Ted Pedersen, University of Minnesota Duluth<tpederse@d.umn.edu>
Satanjeev Banerjee, Carnegie Mellon University
<satanjeev@cmu.edu>
Amruta Purandare, University of Pittsburgh
<amruta@cs.pitt.edu>
Bridget Thomson-McInnes, University of Minnesota Twin Cities
<bthompson@d.umn.edu>
Saiyam Kohli, University of Minnesota Duluth
<kohli003@d.umn.edu>
HISTORY
Last updated: $Id: tmi.pm,v 1.10 2006/06/21 11:10:53 saiyam_kohli Exp $BUGS
SEE ALSO
@inproceedings{moore:2004:EMNLP, author = {Moore, Robert C.}, title = {On Log-Likelihood-Ratios and the Significance of Rare Events }, booktitle = {Proceedings of EMNLP 2004}, editor = {Dekang Lin and Dekai Wu}, year = 2004, month = {July}, address = {Barcelona, Spain}, publisher = {Association for Computational Linguistics}, pages = {333--340} url = L<http://acl.ldc.upenn.edu/acl2004/emnlp/pdf/Moore.pdf>}
<http://groups.yahoo.com/group/ngram/>
<http://www.d.umn.edu/~tpederse/nsp.html>
COPYRIGHT
Copyright (C) 2000-2006, Ted Pedersen, Satanjeev Banerjee, Amruta Purandare, Bridget Thomson-McInnes and Saiyam KohliThis program is free software; you can redistribute it and/or modify it under the terms of the GNU General Public License as published by the Free Software Foundation; either version 2 of the License, or (at your option) any later version.
This program is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for more details.
You should have received a copy of the GNU General Public License along with this program; if not, write to
The Free Software Foundation, Inc., 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA.
Note: a copy of the GNU General Public License is available on the web at <http://www.gnu.org/licenses/gpl.txt> and is included in this distribution as GPL.txt.
Contenus ©2006-2024 Benjamin Poulain
Design ©2006-2024 Maxime Vantorre