Sparse two-dimensional discriminant locality-preserving projection (S2DDLPP) for feature extraction

Two-dimensional locality-preserving projection (2DLPP) is an unsupervised method, so it can't use the discrimination information of the sample in the sparse data; elastic net regression can obtain a sparse results of the feature extraction. So, this paper presents a new method for image feature extraction, namely the sparse two-dimensional discriminant locality-preserving projection (S2DDLPP) based on the 2D discriminant locality-preserving projection (2DDLPP) and elastic net regression. By adding the between-class scatter and discrimination information into the objective function of 2DLPP, S2DDLPP uses elastic net regression to obtain an optimal sparse projection matrix with minimizing the within-class scatter and maximizing the between-class scatter. Compared with other methods (2DPCA, 2DPCA-L1, 2DLDA, 2DLPP, 2DDLPP, and 2DDLPP-L1), the experimental results on the ORL, Yale, AR and FERET face database show the effectiveness of the proposed algorithm.