Kernel collaboration representation-based manifold regularized model for unconstrained face recognition

Most recent researches have demonstrated the effectiveness of using kernel function into sparse representation and collaborative representation, which can overcome the problem of ignoring the nonlinear relationship of samples in face recognition and other classification problems. Considering the fact that space structure information (i.e., manifold structure or spatial consistence) can help a lot in robust sparse coding by nonlinear kernel metrics. In our paper, we present a kernel collaborative representation-based manifold regularized method, where we apply kernel collaborative representation with ℓ2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${{\ell }_{2}}$$\end{document}-regularization-based classifier and add spatial similarity structure to collaborative representation for benefiting classification accuracy. Meanwhile, the local binary patterns feature is used to increase discrimination of classifier and reduce the sensitivity to unconstrained case (i.e., occlusion or noise). So our method is a joint model of linear and nonlinear, local feature and distance metrics, kernel subspace structure and manifold structure. Experiments show that the proposed method outperforms several similar state-of-the-art methods in terms of accuracy and time cost.