Abstract
A new kernel discriminant analysis algorithm, called kernel-based enhanced maximum margin criterion (KEMMC), is presented for extracting features from high-dimensional data space. In EMMC, the local property is taken into account so that the data points of neighboring classes can be mapped far away. Moreover, the regularized technique is employed to deal with small sample size problem. It is extended to a nonlinear form by mapping the input space to a high-dimensional feature space that can make the mapped features linearly separable. Extensive experiments demonstrate the effectiveness of the proposed algorithm.
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References
Swets DL, Weng J (1996) Using discriminant eigenfeatures for image retrieval. IEEE Trans Pattern Anal Mach Intell 18(8):831–836
Belhumeur PN, Hespanha JP, Kriegman DJ (1997) Eigenfaces vs. fisherfaces: recognition using class specific linear projection. IEEE Trans Pattern Anal Mach Intell 19(7):711–720
Yu H, Yang J (2001) A direct LDA algorithm for high-dimensional data with application to face recognition. Pattern Recogn 34(10):2067–2070
Gashler M, Martinez T (2011) Temporal nonlinear dimension reduction. In: Proceedings of international joint conference on neural networks, San Jose, California, USA, 31 July–5 Aug 2011
Li HF, Jiang T, Zhang K (2006) Efficient and robust feature extraction by maximum margin criterion. IEEE Trans Neural Networks 17(1):157–165
Lu G-F, Lin Z, Jin Z (2010) Face recognition using discriminant locality preserving projections based on maximum margin criterion. Pattern Recogn 43(10):3572–3579
He X, Yan S, Hu Y, Niyogi P, Zhang H (2005) Face recognition using laplacianface. IEEE Trans Pattern Anal Mach Intell 27(3):328–340
Liu Q, Tang X, Lu H, Ma S (2006) Face recognition using kernel scatter-difference-based discriminant analysis. IEEE Trans Neural Networks 17(4):1081–1085
Lu J, Plataniotis KN, Venetsanopoulos AN (2003) Face recognition using kernel direct discriminant analysis algorithms. IEEE Trans Neural Networks 14(1):117–126
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Zhang, C., Hu, H. (2014). Kernel-Based Enhanced Maximum Margin Criterion Algorithm for High-Dimensional Feature Extraction. In: Long, S., Dhillon, B.S. (eds) Proceedings of the 13th International Conference on Man-Machine-Environment System Engineering. MMESE 2013. Lecture Notes in Electrical Engineering, vol 259. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-38968-9_22
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DOI: https://doi.org/10.1007/978-3-642-38968-9_22
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-38967-2
Online ISBN: 978-3-642-38968-9
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