Trace ratio vs. ratio trace for dimensionality reduction

Proceedings of the IEEE Computer Society Conference on Computer Vision and Pattern Recognition

Volumn , Issue , 2007, Pages

  Wang, Huan ^a   Yan, Shuicheng ^b   Xu, Dong ^c   Tang, Xiaoou ^a,d   Huang, Thomas ^d  

^a CHINESE UNIVERSITY OF HONG KONG   (Hong Kong)

^b UNIVERSITY OF ILLINOIS AT URBANA CHAMPAIGN   (United States)

^c Columbia University ^*  (United States)

^d MICROSOFT RESEARCH ASIA   (China)

Author keywords

[No Author keywords available]

Indexed keywords

CLASSIFICATION (OF INFORMATION); CONSTRAINT THEORY; MATRIX ALGEBRA; PROBLEM SOLVING;

KERNEL-BASED SUBSPACE LEARNING; TRACE DIFFERENCE PROBLEM; TRACE RATIO PROBLEMS;

ALGORITHMS;

EID: 35148823228     PISSN: 10636919     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/CVPR.2007.382983     Document Type: Conference Paper

References (13)

1. P. Belhumeur, J. Hespanha, and D. Kriegman. Eigenfaces vs. fisherfaces: Recognition using class specific linear projection. IEEE Transactions on Pattern Analysis and Machine Intelligence, 19(7):711-720, 1997. 1, 2, 6, 7
2. H. Chen, H. Chang and T. Liu, Local discriminant embedding and its variants, Proc. IEEE Computer Vision and Pattern Recognition, vol. 2, pp. 846-852, 2005. 2
3. K. Fukunaga. Introduction to statistical pattern recognition. Academic Press, second edition, 1991. 1, 2
4. Y. Guo, S. Li, J. Yang, T. Shu, and L. Wu. A generalized Foley-Sammon transform based on generalized fisher discriminant criterion and its application to face recognition. Pattern Recognition Letter, 24:147-158, 2003. 4, 5
5. W. Hogan. Point-to-set maps in mathematical programming. SIAM Rev., 15(3):591-603, 1973. 4
6. R. Horn and C. Johnson. Matrix analysis. Cambridge University Press, New York, 1985. 3, 4
7. R. Meyer. Sufficient conditions for the convergence of monotonic mathematical programming algorithms. J. Comp. Sys. Sci., 12:108-121, 1976. 4
8. M. Turk and A. Pentland. Face recognition using eigenfaces. Proceedings of Conference on Computer Vision and Pattern Recognition, pages 586-591, 1991. 1, 2, 3
9. S. Yan and X. Tang. Trace Quotient Problems Revisited. Proceedings of the European Conference on Computer Vision, v. 2, pp. 232-244, 2006. 5
10. S. Yan, D. Xu, B. Zhang, and H. Zhang. Graph embedding: A general framework for dimensionality reduction. Proceedings of Conference on Computer Vision and Pattern Recognition, pp. 830-837, 2005. 1, 2, 5
11. X. Wang and X. Tang. Dual-space linear discriminant analysis for face recognition. Proc. IEEE Conf. Computer Vision and Pattern Recognition, pp. 564-569, June 2004. 2
12. X. Wang and X. Tang. A unified framework for subspace face recognition. IEEE Trans. Pattern Analysis and Machine Intelligence, vol. 26, no. 9, pp. 1222-1228, Sep. 2004. 7
13. X. Wang and X. Tang. Random sampling for subspace face recognition. International Journal of Computer Vision, Vol. 70, No. 1, pp. 91-104, Oct. 2006. 7