Fuzzy Mutual Information Based min-Redundancy and Max-Relevance Heterogeneous Feature Selection

Feature selection is an important preprocessing step in pattern classification and machine learning, and mutual information is widely used to measure relevance between features and decision. However, it is difficult to directly calculate relevance between continuous or fuzzy features using mutual in...

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Main Authors: Daren Yu, Shuang An, Qinghua Hu
Format: Article
Language:English
Published: Springer 2011-08-01
Series:International Journal of Computational Intelligence Systems
Subjects:
Online Access:https://www.atlantis-press.com/article/2353.pdf
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author Daren Yu
Shuang An
Qinghua Hu
author_facet Daren Yu
Shuang An
Qinghua Hu
author_sort Daren Yu
collection DOAJ
description Feature selection is an important preprocessing step in pattern classification and machine learning, and mutual information is widely used to measure relevance between features and decision. However, it is difficult to directly calculate relevance between continuous or fuzzy features using mutual information. In this paper we introduce the fuzzy information entropy and fuzzy mutual information for computing relevance between numerical or fuzzy features and decision. The relationship between fuzzy information entropy and differential entropy is also discussed. Moreover, we combine fuzzy mutual information with "min-Redundancy-Max-Relevance", "Max-Dependency" and min-Redundancy-Max-Dependency" algorithms. The performance and stability of the proposed algorithms are tested on benchmark data sets. Experimental results show the proposed algorithms are effective and stable.
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spelling doaj.art-c2ae99e8aef54eceb43c3b91787d6c592022-12-22T00:48:01ZengSpringerInternational Journal of Computational Intelligence Systems1875-68832011-08-014410.2991/ijcis.2011.4.4.18Fuzzy Mutual Information Based min-Redundancy and Max-Relevance Heterogeneous Feature SelectionDaren YuShuang AnQinghua HuFeature selection is an important preprocessing step in pattern classification and machine learning, and mutual information is widely used to measure relevance between features and decision. However, it is difficult to directly calculate relevance between continuous or fuzzy features using mutual information. In this paper we introduce the fuzzy information entropy and fuzzy mutual information for computing relevance between numerical or fuzzy features and decision. The relationship between fuzzy information entropy and differential entropy is also discussed. Moreover, we combine fuzzy mutual information with "min-Redundancy-Max-Relevance", "Max-Dependency" and min-Redundancy-Max-Dependency" algorithms. The performance and stability of the proposed algorithms are tested on benchmark data sets. Experimental results show the proposed algorithms are effective and stable.https://www.atlantis-press.com/article/2353.pdfFeature selection; fuzzy mutual information; redundancy; relevance; stability
spellingShingle Daren Yu
Shuang An
Qinghua Hu
Fuzzy Mutual Information Based min-Redundancy and Max-Relevance Heterogeneous Feature Selection
International Journal of Computational Intelligence Systems
Feature selection; fuzzy mutual information; redundancy; relevance; stability
title Fuzzy Mutual Information Based min-Redundancy and Max-Relevance Heterogeneous Feature Selection
title_full Fuzzy Mutual Information Based min-Redundancy and Max-Relevance Heterogeneous Feature Selection
title_fullStr Fuzzy Mutual Information Based min-Redundancy and Max-Relevance Heterogeneous Feature Selection
title_full_unstemmed Fuzzy Mutual Information Based min-Redundancy and Max-Relevance Heterogeneous Feature Selection
title_short Fuzzy Mutual Information Based min-Redundancy and Max-Relevance Heterogeneous Feature Selection
title_sort fuzzy mutual information based min redundancy and max relevance heterogeneous feature selection
topic Feature selection; fuzzy mutual information; redundancy; relevance; stability
url https://www.atlantis-press.com/article/2353.pdf
work_keys_str_mv AT darenyu fuzzymutualinformationbasedminredundancyandmaxrelevanceheterogeneousfeatureselection
AT shuangan fuzzymutualinformationbasedminredundancyandmaxrelevanceheterogeneousfeatureselection
AT qinghuahu fuzzymutualinformationbasedminredundancyandmaxrelevanceheterogeneousfeatureselection