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Sparsity preserving discriminative learning with applications to face recognition

[+] Author Affiliations
Yingchun Ren

Tongji University, Research Center of CAD, No. 4800, Cao’an Highway, Shanghai 201804, China

Jiaxing University, College of Mathematics, Physics and Information Engineering, No. 56, South Yuexiu Road, Zhejiang, Jiaxing 314001, China

Zhicheng Wang, Yufei Chen, Weidong Zhao

Tongji University, Research Center of CAD, No. 4800, Cao’an Highway, Shanghai 201804, China

Xiaoying Shan

Jiaxing University, Pinghu Campus, No . 888, Hongjian Road, Zhejiang, Jiaxing 314200, China

J. Electron. Imaging. 25(1), 013005 (Jan 11, 2016). doi:10.1117/1.JEI.25.1.013005
History: Received July 7, 2015; Accepted December 1, 2015
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Abstract.  The extraction of effective features is extremely important for understanding the intrinsic structure hidden in high-dimensional data. In recent years, sparse representation models have been widely used in feature extraction. A supervised learning method, called sparsity preserving discriminative learning (SPDL), is proposed. SPDL, which attempts to preserve the sparse representation structure of the data and simultaneously maximize the between-class separability, can be regarded as a combiner of manifold learning and sparse representation. More specifically, SPDL first creates a concatenated dictionary by class-wise principal component analysis decompositions and learns the sparse representation structure of each sample under the constructed dictionary using the least squares method. Second, a local between-class separability function is defined to characterize the scatter of the samples in the different submanifolds. Then, SPDL integrates the learned sparse representation information with the local between-class relationship to construct a discriminant function. Finally, the proposed method is transformed into a generalized eigenvalue problem. Extensive experimental results on several popular face databases demonstrate the effectiveness of the proposed approach.

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Citation

Yingchun Ren ; Zhicheng Wang ; Yufei Chen ; Xiaoying Shan and Weidong Zhao
"Sparsity preserving discriminative learning with applications to face recognition", J. Electron. Imaging. 25(1), 013005 (Jan 11, 2016). ; http://dx.doi.org/10.1117/1.JEI.25.1.013005


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