Rényi entropy and cauchy-schwartz mutual information applied to mifs-u variable selection algorithm: a comparative study

This paper approaches the algorithm of selection of variables named MIFS-U and presents an alternative method for estimating entropy and mutual information, "measures" that constitute the base of this selection algorithm. This method has, for foundation, the Cauchy-Schwartz quadratic mutual information and the Rényi quadratic entropy, combined, in the case of continuous variables, with Parzen Window density estimation. Experiments were accomplished with public domain data, being such method compared with the original MIFS-U algorithm, broadly used, that adopts the Shannon entropy definition and makes use, in the case of continuous variables, of the histogram density estimator. The results show small variations between the two methods, what suggest a future investigation using a classifier, such as Neural Networks, to qualitatively evaluate these results, in the light of the final objective which is greater accuracy of classification.

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Main Authors: Gonçalves,Leonardo Barroso, Macrini,José Leonardo Ribeiro
Format: Digital revista
Language:English
Published: Sociedade Brasileira de Pesquisa Operacional 2011
Online Access:http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0101-74382011000300006
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spelling oai:scielo:S0101-743820110003000062011-11-03Rényi entropy and cauchy-schwartz mutual information applied to mifs-u variable selection algorithm: a comparative studyGonçalves,Leonardo BarrosoMacrini,José Leonardo Ribeiro variable selection MIFS-U entropy mutual information Shannon Rényi Parzen Window Information-Theoretic Learning ITL This paper approaches the algorithm of selection of variables named MIFS-U and presents an alternative method for estimating entropy and mutual information, "measures" that constitute the base of this selection algorithm. This method has, for foundation, the Cauchy-Schwartz quadratic mutual information and the Rényi quadratic entropy, combined, in the case of continuous variables, with Parzen Window density estimation. Experiments were accomplished with public domain data, being such method compared with the original MIFS-U algorithm, broadly used, that adopts the Shannon entropy definition and makes use, in the case of continuous variables, of the histogram density estimator. The results show small variations between the two methods, what suggest a future investigation using a classifier, such as Neural Networks, to qualitatively evaluate these results, in the light of the final objective which is greater accuracy of classification.info:eu-repo/semantics/openAccessSociedade Brasileira de Pesquisa OperacionalPesquisa Operacional v.31 n.3 20112011-12-01info:eu-repo/semantics/articletext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S0101-74382011000300006en10.1590/S0101-74382011000300006
institution SCIELO
collection OJS
country Brasil
countrycode BR
component Revista
access En linea
databasecode rev-scielo-br
tag revista
region America del Sur
libraryname SciELO
language English
format Digital
author Gonçalves,Leonardo Barroso
Macrini,José Leonardo Ribeiro
spellingShingle Gonçalves,Leonardo Barroso
Macrini,José Leonardo Ribeiro
Rényi entropy and cauchy-schwartz mutual information applied to mifs-u variable selection algorithm: a comparative study
author_facet Gonçalves,Leonardo Barroso
Macrini,José Leonardo Ribeiro
author_sort Gonçalves,Leonardo Barroso
title Rényi entropy and cauchy-schwartz mutual information applied to mifs-u variable selection algorithm: a comparative study
title_short Rényi entropy and cauchy-schwartz mutual information applied to mifs-u variable selection algorithm: a comparative study
title_full Rényi entropy and cauchy-schwartz mutual information applied to mifs-u variable selection algorithm: a comparative study
title_fullStr Rényi entropy and cauchy-schwartz mutual information applied to mifs-u variable selection algorithm: a comparative study
title_full_unstemmed Rényi entropy and cauchy-schwartz mutual information applied to mifs-u variable selection algorithm: a comparative study
title_sort rényi entropy and cauchy-schwartz mutual information applied to mifs-u variable selection algorithm: a comparative study
description This paper approaches the algorithm of selection of variables named MIFS-U and presents an alternative method for estimating entropy and mutual information, "measures" that constitute the base of this selection algorithm. This method has, for foundation, the Cauchy-Schwartz quadratic mutual information and the Rényi quadratic entropy, combined, in the case of continuous variables, with Parzen Window density estimation. Experiments were accomplished with public domain data, being such method compared with the original MIFS-U algorithm, broadly used, that adopts the Shannon entropy definition and makes use, in the case of continuous variables, of the histogram density estimator. The results show small variations between the two methods, what suggest a future investigation using a classifier, such as Neural Networks, to qualitatively evaluate these results, in the light of the final objective which is greater accuracy of classification.
publisher Sociedade Brasileira de Pesquisa Operacional
publishDate 2011
url http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0101-74382011000300006
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AT macrinijoseleonardoribeiro renyientropyandcauchyschwartzmutualinformationappliedtomifsuvariableselectionalgorithmacomparativestudy
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