A discriminative multi-class feature selection method via weighted l2,1 -norm and Extended Elastic Net

Feature selection has playing an important role in many pattern recognition and machine learning applications, where meaningful features are desired to be extracted from high dimensional raw data and noisy ones are expected to be eliminated. l(2,1)-norm regularization based Robust Feature Selection (RFS) has extracted a lot of attention due to its efficiency and high performance of joint sparsity. In this paper, we propose a more general framework for robust and discriminative multi-class feature selection. Four types of weighting, which are based on correlation information between features and labels, are adopted to strengthen the discriminative performance of l(2,1)-norm joint sparsity. F-norm regularization, which is extended from multi-class Elastic Net, is added to improve the stability of the method. An efficient algorithm and its corresponding convergence proof are provided. Experimental results on several twoclass and multi-class datasets are performed to verify the effectiveness of the proposed feature selection method. (C) 2017 Elsevier B.V. All rights reserved.