Sparse Representation Classification Beyond L1 Minimization and the Subspace Assumption
arXiv:1502.01368 · doi:10.1109/TIT.2020.2981309
Abstract
The sparse representation classifier (SRC) has been utilized in various classification problems, which makes use of L1 minimization and works well for image recognition satisfying a subspace assumption. In this paper we propose a new implementation of SRC via screening, establish its equivalence to the original SRC under regularity conditions, and prove its classification consistency under a latent subspace model and contamination. The results are demonstrated via simulations and real data experiments, where the new algorithm achieves comparable numerical performance and significantly faster.
15 pages, 4 figures, 3 tables