Block-Diagonal Constrained Low-Rank and Sparse Graph for Discriminant Analysis of Image Data
AbstractRecently, low-rank and sparse model-based dimensionality reduction (DR) methods have aroused lots of interest. In this paper, we propose an effective supervised DR technique named block-diagonal constrained low-rank and sparse-based embedding (BLSE). BLSE has two steps, i.e., block-diagonal constrained low-rank and sparse representation (BLSR) and block-diagonal constrained low-rank and sparse graph embedding (BLSGE). Firstly, the BLSR model is developed to reveal the intrinsic intra-class and inter-class adjacent relationships as well as the local neighborhood relations and global structure of data. Particularly, there are mainly three items considered in BLSR. First, a sparse constraint is required to discover the local data structure. Second, a low-rank criterion is incorporated to capture the global structure in data. Third, a block-diagonal regularization is imposed on the representation to promote discrimination between different classes. Based on BLSR, informative and discriminative intra-class and inter-class graphs are constructed. With the graphs, BLSGE seeks a low-dimensional embedding subspace by simultaneously minimizing the intra-class scatter and maximizing the inter-class scatter. Experiments on public benchmark face and object image datasets demonstrate the effectiveness of the proposed approach. View Full-Text
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Guo, T.; Tan, X.; Zhang, L.; Xie, C.; Deng, L. Block-Diagonal Constrained Low-Rank and Sparse Graph for Discriminant Analysis of Image Data. Sensors 2017, 17, 1475.
Guo T, Tan X, Zhang L, Xie C, Deng L. Block-Diagonal Constrained Low-Rank and Sparse Graph for Discriminant Analysis of Image Data. Sensors. 2017; 17(7):1475.Chicago/Turabian Style
Guo, Tan; Tan, Xiaoheng; Zhang, Lei; Xie, Chaochen; Deng, Lu. 2017. "Block-Diagonal Constrained Low-Rank and Sparse Graph for Discriminant Analysis of Image Data." Sensors 17, no. 7: 1475.
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