Abstract
In order to efficiently use the intrinsic data information, in this study a Discriminative Sparse Subspace Learning (DSSL) model has been investigated for unsupervised feature selection. First, the feature selection problem is formulated as a subspace learning problem. In order to efficiently learn the discriminative subspace, we investigate the discriminative information in the subspace learning process. Second, a two-step TDSSL algorithm and a joint modeling JDSSL algorithm are developed to incorporate the clusters׳ assignment as the discriminative information. Then, a convergence analysis of these two algorithms is provided. A kernelized discriminative sparse subspace learning (KDSSL) method is proposed to handle the nonlinear subspace learning problem. Finally, extensive experiments are conducted on real-world datasets to show the superiority of the proposed approaches over several state-of-the-art approaches.
•We proposed a novel unsupervised feature selection model by sparse subspace learning.•We proposed a two-step method for discriminative sparse subspace learning.•We proposed a joint-model for discriminative sparse subspace learning.•We proposed a kernelized discriminative sparse subspace learning method.•We conduct extensive experimental studies about the proposed algorithms.