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Multiplication fusion of sparse and collaborative representation for robust face recognition

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Abstract

Sparse representation based classification (SRC) and collaborative representation based classification (CRC) are two well-known methods in representation-based classification for face recognition. SRC emphasizes on the role of sparsity in coding, while CRC obtains an enhanced sparse representation with collaborative contributions from all classes. Previous studies show that sparsity of representation coefficients of SRC and CRC is significant for robust classification that may amplify the nonlocal contribution from other classes. However, the parameters are closely associated with the sparsity and it is very difficult to solve the optimal solutions. This paper proposed a novel representation-based image classification method that integrates SRC with CRC by a multiplication operation on the solutions to obtain enhanced sparse representation. We conducted experiments on several benchmark face databases and the experimental results showed that our algorithm produces higher accuracy on classification than both SRC and CRC.

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Acknowledgments

This work was supported in part by National Natural Science Foundation of China (Grant No.61502208), Natural Science Foundation of Jiangsu Province of China (Grant No. BK20150522), Natural Science Foundation of the Jiangsu Higher Education Institutions of China (Grant No. 14KJB520007), China Postdoctoral Science Foundation (Grant No. 2015M570411), Research Foundation of Education Bureau of Guangdong Province of China (Grant No. A314.0116), Scientific Research Starting Foundation for Ph.D. in Huizhou University (Grant No. C510.0210), and the Scientific and Technical Program of City of Huizhou (Grant No. 2012-21).

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Correspondence to Shaoning Zeng.

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Zeng, S., Yang, X. & Gou, J. Multiplication fusion of sparse and collaborative representation for robust face recognition. Multimed Tools Appl 76, 20889–20907 (2017). https://doi.org/10.1007/s11042-016-4035-5

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