Based on Locality Regularized Generalization Error Bound
XUE Hui1,2, CHEN Song-Can2
1.School of Computer Science Engineering,Southeast University,Nanjing 210096 2.College of Computer Science Technology,Nanjing University of Aeronautics and Astronautics,Nanjing 210016
Abstract:Feature selection is a hot topic in current pattern recognition. Filter and wrapper approaches are two of the most important policies to evaluate feature subsets in feature selection algorithms. However, they both can not guarantee the generalization performance of the following designed classifier. To solve these problems in the two approaches, a locality regularized generalization error bound is firstly introduced which embeds the manifold structure information hidden in the input samples. Furthermore, a hybrid filter-wrapper feature selection algorithm is proposed, which uses the locality regularized generalization error bound as the evaluation function as well as the locality regularization method as the classifier. As a result, the proposed algorithm can not only keep high computational efficiency, but also guarantee the good generalization performance of the following classifier. Experimental results validate the superiority of the algorithm.
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