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Information-Theoretic Feature Selection in Microarray Data Using Variable Complementarity

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3 Author(s)
Patrick Emmanuel Meyer ; Comput. Sci. Dept., Univ. Libre de Bruxelles, Brussels ; Colas Schretter ; Gianluca Bontempi

The paper presents an original filter approach for effective feature selection in microarray data characterized by a large number of input variables and a few samples. The approach is based on the use of a new information-theoretic selection, the double input symmetrical relevance (DISR), which relies on a measure of variable complementarity. This measure evaluates the additional information that a set of variables provides about the output with respect to the sum of each single variable contribution. We show that a variable selection approach based on DISR can be formulated as a quadratic optimization problem: the dispersion sum problem (DSP). To solve this problem, we use a strategy based on backward elimination and sequential replacement (BESR). The combination of BESR and the DISR criterion is compared in theoretical and experimental terms to recently proposed information-theoretic criteria. Experimental results on a synthetic dataset as well as on a set of eleven microarray classification tasks show that the proposed technique is competitive with existing filter selection methods.

Published in:

IEEE Journal of Selected Topics in Signal Processing  (Volume:2 ,  Issue: 3 )