A new discriminative collaborative representation-based classification method via l2 regularizations

Abstract

Collaborative representation-based classification (CRC) is one of the famous representation-based classification methods in pattern recognition. However, a testing sample in most of the CRC variants is collaboratively reconstructed by a linear combination of all the training samples from all the classes, the training samples from the class that the testing sample belongs to have no advantage in discriminatively and competitively representing and classifying the testing sample. Moreover, the incorrect classification can easily come into being when the training samples from the different classes are very similar. To address the issues, we propose a novel discriminative collaborative representation-based classification (DCRC) method via \(l_2\) regularizations to enhance the power of pattern discrimination. In the proposed model, we consider not only the discriminative decorrelations among all the classes, but also the similarities between the reconstructed representation of all the classes and the class-specific reconstructed representations in the \(l_2\) regularizations. The experiments on several public face databases have demonstrated that the proposed DCRC effectively and robustly outperforms the state-of-the-art representation-based classification methods.

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Notes

  1. 1.

    http://www.anefian.com/research/face_reco.htm.

  2. 2.

    http://www.imm.dtu.dk/~aam/datasets/datasets.html.

  3. 3.

    http://cvc.cs.yale.edu/cvc/projects/yalefaces/yalefaces.html.

  4. 4.

    http://pics.stir.ac.uk/.

  5. 5.

    http://fei.edu.br/~cet/facedatabase.html.

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Acknowledgements

This work was supported in part by National Natural Science Foundation of China (Grant Nos. 61502208, 61762021 and 61402122), Natural Science Foundation of Jiangsu Province of China (Grant No. BK20150522), International Postdoctoral Exchange Fellowship Program of China Postdoctoral Council (No. 20180051), Research Foundation for Talented Scholars of JiangSu University (Grant No. 14JDG037), China Postdoctoral Science Foundation (Grant No. 2015M570411), Open Foundation of Artificial Intelligence Key Laboratory of Sichuan Province (Grant No. 2017RYJ04), and Natural Science Foundation of Guizhou Province (Nos. [2017]1130 and [2017]5726-32). The authors would like to thank Jia Ke for some helpful suggestions and discussions for the revisions of this article. Furthermore, they thank the editors and reviewers for valuable comments to improve our article.

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Correspondence to Jianping Gou.

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Gou, J., Hou, B., Yuan, Y. et al. A new discriminative collaborative representation-based classification method via l2 regularizations. Neural Comput & Applic 32, 9479–9493 (2020). https://doi.org/10.1007/s00521-019-04460-x

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Keywords

  • Collaborative representation
  • Representation-based classification
  • Pattern recognition