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Two-Dimensional Soft Linear Discriminant Projection for Robust Image Feature Extraction and Recognition

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Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 9950))

Abstract

In this study, we propose a Robust Soft Linear Discriminant Projection (RS-LDP) algorithm for extracting two-dimensional (2D) image features for recognition. RS-LDP is based on the soft label linear discriminant analysis (SL-LDA) that is shown to be effective for semi-supervised feature learning, but SLDA works in the vector space and thus extract one-dimensional (1D) features directly, so it has to convert the two-dimensional (2D) image matrices into the 1D vectorized representations in a high-dimensional space when dealing with images. But such transformation usually destroys the intrinsic topology structures of the images pixels and thus loses certain important information, which may result in degraded performance. Compared with SL-LDA for representation, our RS-LDP can effectively preserve the topology structures among image pixels, and more importantly it would be more efficient due to the matrix representations. Extensive simulations on real-world image datasets show that our proposed RS-LDP can deliver enhanced performance over other state-of-the-arts for recognition.

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References

  1. Jolliffe, I.: Principal Component Analysis. Wiley, Hoboken (2002)

    MATH  Google Scholar 

  2. Niyogi, X.: Locality preserving projections. Neural Inf. Process. Syst. 16, 153 (2014)

    Google Scholar 

  3. Yu, H., Yang, J.: A direct LDA algorithm for high-dimensional data-with application to face recognition. Pattern Recogn. 34(10), 2067–2070 (2001)

    Article  MATH  Google Scholar 

  4. Sugiyama, M.: Local fisher discriminant analysis for supervised dimensionality reduction. In: Proceedings of the 23rd International Conference on Machine Learning (ICML), pp. 905–912 (2006)

    Google Scholar 

  5. Zhang, Z., Chow, T.W.: Robust linearly optimized discriminant analysis. Neurocomputing 79, 140–157 (2012)

    Article  Google Scholar 

  6. Zhao, M., Zhang, Z., Zhang, H.: A soft label based linear discriminant analysis for semi-supervised dimensionality reduction. In: Proceedings of the 2013 International Joint Conference on Neural Networks (IJCNN), pp. 1–8. IEEE (2013)

    Google Scholar 

  7. Wang, X., Zhang, Z., Tang, Y., et al.: L1-Norm driven semi-supervised local discriminant projection for robust image representation. In: Proceedings of the 27th IEEE International Conference on Tools with Artificial Intelligence (ICTAI), pp. 391–397. IEEE (2015)

    Google Scholar 

  8. Song, Y., Nie, F., Zhang, C., et al.: A unified framework for semi-supervised dimensionality reduction. Pattern Recogn. 41(9), 2789–2799 (2008)

    Article  MATH  Google Scholar 

  9. Yang, J., Zhang, D., Frangi, A.F., Yang, J.Y.: Two-dimensional PCA: a new approach to appearance-based face representation and recognition. IEEE Trans. Pattern Anal. Mach. Intell. 26(1), 131–137 (2004)

    Article  Google Scholar 

  10. Chen, S., Zhao, H., Kong, M., et al.: 2D-LPP: a two-dimensional extension of locality preserving projections. Zeurocomputing 70(4), 912–921 (2007)

    Article  Google Scholar 

  11. Zhang, Z., Chow, T.W.: Maximum margin multisurface support tensor machines with application to image classification and segmentation. Expert Syst. Appl. 39(1), 850–861 (2012)

    Google Scholar 

  12. Zhang, Z., Zhang, L., Zhao, M., et al.: Semi-supervised image classification by nonnegative sparse neighborhood propagation. In: Proceedings of the 5th ACM on International Conference on Multimedia Retrieval, pp. 139–146 (2015)

    Google Scholar 

  13. Hastie, T., Tibshirani, R.: Discriminant adaptive nearest neighbor classification. IEEE Trans. Pattern Anal. Mach. Intell. 18(6), 607–616 (1996)

    Article  Google Scholar 

  14. Nene, S.A., Nayar, S.K, et al.: Columbia object image library (COIL-20). Technical report CUCS-005-96 (1996)

    Google Scholar 

  15. Nefian, A.V.: Georgia tech face database (2013)

    Google Scholar 

  16. Sim, T., Kanade, T.: Combining models and exemplars for face recognition: an illuminating example. In: Proceedings of the CVPR 2001 Workshop on Models versus Exemplars in Computer Vision, vol. 1 (2001)

    Google Scholar 

  17. Zhu, X., Ghahramani, Z, et al.: Semi-supervised learning using Gaussian fields and harmonic functions. In: Proceedings of the International Conference on Machine Learning (ICML) (2003)

    Google Scholar 

  18. Cai, D., He, X., Han, J.: Semi-supervised discriminant analysis. In: Proceedings of ICCV (2007)

    Google Scholar 

  19. Zhang, Z., Chow, W.S.: Tensor locally linear discriminative analysis. IEEE Sig. Process. Lett. 18(11), 843–846 (2011)

    Google Scholar 

  20. Wang, Z., Chen, S., Liu, J., et al.: Pattern representation in feature extraction and classifier design: matrix versus vector. IEEE Trans. Neural Netw. 19(5), 758–769 (2008)

    Article  Google Scholar 

Download references

Acknowledgment

This work is partially supported by the National Natural Science Foundation of China (61402310, 61373093), Major Program of Natural Science Foundation of Jiangsu Higher Education Institutions of China (15KJA520002), Special Funding of China Postdoctoral Science Foundation (2016T90494), Postdoctoral Science Foundation of China (2015M580462), Postdoctoral Science Foundation of Jiangsu Province of China (1501091B), and the Natural Science Foundation of Jiangsu Province of China (BK20140008 and BK20141195).

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Correspondence to Zhao Zhang .

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Tang, Y., Zhang, Z., Jiang, W. (2016). Two-Dimensional Soft Linear Discriminant Projection for Robust Image Feature Extraction and Recognition. In: Hirose, A., Ozawa, S., Doya, K., Ikeda, K., Lee, M., Liu, D. (eds) Neural Information Processing. ICONIP 2016. Lecture Notes in Computer Science(), vol 9950. Springer, Cham. https://doi.org/10.1007/978-3-319-46681-1_61

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  • DOI: https://doi.org/10.1007/978-3-319-46681-1_61

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-46680-4

  • Online ISBN: 978-3-319-46681-1

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