Extracting the optimal dimensionality for local tensor discriminant analysis

Pattern Recognition

Volumn 42, Issue 1, 2009, Pages 105-114

  Nie, Feiping ^a   Xiang, Shiming ^a   Song, Yangqiu ^a   Zhang, Changshui ^a  

^a TSINGHUA UNIVERSITY   (China)

Author keywords

Alternating optimization; Local scatter; Optimal dimensionality; Tensor discriminant analysis

Indexed keywords

DISCRIMINANT ANALYSIS;

ALTERNATING OPTIMIZATION; LOCAL SCATTER; OPTIMAL DIMENSIONALITY; TENSOR DISCRIMINANT ANALYSIS;

PROBLEM SOLVING;

EID: 51649131593     PISSN: 00313203     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.patcog.2008.03.012     Document Type: Article

References (26)

1. Fukunaga K. Introduction to Statistical Pattern Recognition. second ed. (1990), Academic Press, Boston, MA
2. Belhumeur P.N., Hespanha J.P., and Kriegman D.J. Eigenfaces vs fisherfaces: recognition using class specific linear projection. IEEE Trans. Pattern Anal. Mach. Intell. 19 7 (1997) 711-720
3. Chen L., Liao H., Ko M., Lin J., and Yu G. A new LDA based face recognition system which can solve the small sample size problem. Pattern Recognition 33 10 (2000) 1713-1726
4. Yu H., and Yang J. A direct LDA algorithm for high-dimensional data-with application to face recognition. Pattern Recognition 34 (2001) 2067-2070
5. Liu J., and Chen S. Discriminant common vectors versus neighbourhood components analysis and laplacianfaces: a comparative study in small sample size problem. Image Vision Comput. 24 3 (2006) 249-262
6. Liu J., Chen S., and Tan X. A study on three linear discriminant analysis based methods in small sample size problem. Pattern Recognition 41 1 (2008) 102-116
7. J. Ye, R. Janardan, Q. Li, Two-dimensional linear discriminant analysis, NIPS, 2004.
8. J. Ye, Generalized low rank approximations of matrices, ICML, 2004.
9. S. Yan, D. Xu, Q. Yang, L. Zhang, X. Tang, H. Zhang, Discriminant analysis with tensor representation, CVPR, 2005, pp. 526-532.
10. X. He, D. Cai, P. Niyogi, Tensor subspace analysis, NIPS, 2005.
11. Tao D., Li X., Wu X., and Maybank S.J. General tensor discriminant analysis and gabor features for gait recognition. IEEE Trans. Pattern Anal. Mach. Intell. 29 10 (2007) 1700-1715
12. Bressan M., and Vitrià J. Nonparametric discriminant analysis and nearest neighbor classification. Pattern Recognition Lett. 24 15 (2003) 2743-2749
13. S. Yan, D. Xu, B. Zhang, H. Zhang, Graph embedding: a general framework for dimensionality reduction, CVPR, 2005, pp. 830-837.
14. M. Sugiyama, Local Fisher discriminant analysis for supervised dimensionality reduction, ICML, 2006, pp. 905-912.
15. H.-T. Chen, H.-W. Chang, T.-L. Liu, Local discriminant embedding and its variants, CVPR, 2005, pp. 846-853.
16. F. Nie, S. Xiang, C. Zhang, Neighborhood minmax projections, IJCAI, 2007, pp. 993-998.
17. W. Zhang, X. Xue, Z. Sun, Y.-F. Guo, H. Lu, Optimal dimensionality of metric space for classification, ICML, 2007, pp. 1135-1142.
18. F. Nie, S. Xiang, Y. Song, C. Zhang, Optimal dimensionality discriminant analysis and its application to image recognition, CVPR, 2007.
19. L.D. Lathauwer, Signal processing based on multilinear algebra, Ph.D. Thesis, Faculteit der Toegepaste Wetenschappen, Katholieke Universiteit Leuven, 1997.
20. He X.F., Yan S.C., Hu Y.X., Niyogi P., and Zhang H.J. Face recognition using laplacianfaces. IEEE Trans. Pattern Anal. Mach. Intell. 27 3 (2005) 328-340
21. Golub G.H., and van Loan C.F. Matrix Computations. third ed. (1996), The Johns Hopkins University Press, Baltimore, MD, USA
22. H. Li, T. Jiang, K. Zhang, Efficient and robust feature extraction by maximum margin criterion, NIPS, 2003.
23. D.B. Graham, N.M. Allinson, Characterizing virtual eigensignatures for general purpose face recognition, in: Face Recognition: From Theory to Applications, NATO ASI Series F, Computer and Systems Sciences.
24. S.A. Nene, S.K. Nayar, H. Murase, Columbia object image library (COIL-20), Technical Report CUCS-005-96, Columbia University, 1996.
25. ISMIR audio description contest 〈http://ismir2004.ismir.net/genre_contest/index.htm〉, 2004.
26. E. Pampalk, A matlab toolbox to compute similarity from audio, ISMIR, 2004.