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Open AccessArticle

Quadratic Mutual Information Feature Selection

University of Ljubljana, Faculty of Computer and Information Science, Ljubljana 1000, Slovenia
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Entropy 2017, 19(4), 157; https://doi.org/10.3390/e19040157
Received: 13 December 2016 / Revised: 27 March 2017 / Accepted: 30 March 2017 / Published: 1 April 2017
(This article belongs to the Collection Advances in Applied Statistical Mechanics)
We propose a novel feature selection method based on quadratic mutual information which has its roots in Cauchy–Schwarz divergence and Renyi entropy. The method uses the direct estimation of quadratic mutual information from data samples using Gaussian kernel functions, and can detect second order non-linear relations. Its main advantages are: (i) unified analysis of discrete and continuous data, excluding any discretization; and (ii) its parameter-free design. The effectiveness of the proposed method is demonstrated through an extensive comparison with mutual information feature selection (MIFS), minimum redundancy maximum relevance (MRMR), and joint mutual information (JMI) on classification and regression problem domains. The experiments show that proposed method performs comparably to the other methods when applied to classification problems, except it is considerably faster. In the case of regression, it compares favourably to the others, but is slower. View Full-Text
Keywords: feature selection; information-theoretic measures; quadratic mutual information; Cauchy–Schwarz divergence feature selection; information-theoretic measures; quadratic mutual information; Cauchy–Schwarz divergence
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Sluga, D.; Lotrič, U. Quadratic Mutual Information Feature Selection. Entropy 2017, 19, 157.

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