Trace quotient problems revisited

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

Volumn 3952 LNCS, Issue , 2006, Pages 232-244

  Yan, Shuicheng ^a   Tang, Xiaoou ^a,b  

^a CHINESE UNIVERSITY OF HONG KONG   (Hong Kong)

^b MICROSOFT RESEARCH ASIA   (China)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; COMPUTER VISION; CONSTRAINT THEORY; EIGENVALUES AND EIGENFUNCTIONS; ITERATIVE METHODS; MATHEMATICAL TRANSFORMATIONS;

EIGENVALUE DECOMPOSITION APPROACH; GRASSMANN MANIFOLD; OPTIMAL PROJECTION PURSUING (OPP); TRACE QUOTIENT;

PROBLEM SOLVING;

EID: 33745829806     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/11744047_18     Document Type: Conference Paper

References (20)

1. P. Belhumeur, J. Hespanha and D. Kriegman. "Eigenfaces vs. Fisherfaces: Recognition Using Class Specific Linear Projection", IEEE Trans. Pattern Analysis and Machine Intelligence, vol. 19, No. 7, 1997, pp. 711-720.
2. M. Belkin and P. Niyogi. "Laplacian Eigenmaps and Spectral Techniques for Embedding and Clustering", Advances in Neural Information Processing System 15, Vancouver, British Columbia, Canada, 2001.
3. A. Edelman, T. A. Arias and S. T. Simth. "The Geometry of Algorithms with Orthogonality Constraints," SIAM J. Matrix Anal. Appl. Vol. 20, No. 2, pp.303-353.
4. K. Fukunaga, Statistical Pattern Recognition, Academic Press, 1990.
5. D. Hand. "Kernel Discriminant Analysis". Research Studies Press, Chichester, 1982
6. X. He, S. Van, Y. Hu, P. Niyogi, and H. Zhang. "Face Recognition using Laplacianfaces", IEEE Transactions on Pattern Analysis and Machine Intelligence, Vol. 27, No. 3, Mar. 2005.
7. I. Joliffe. "Principal Component Analysis". Springer-Verlag, New York, 1986.
8. H. Li, T. Jiang, K. Zhang. "Efficient and Robust Feature Extraction by Maximum Margin Criterion", Advances in Neural Information Processing Systems 16, 2004.
9. J. Lu, K. N. Plataniotis and N. Venetsanopoulos, "Face Recognition Using Kernel Direct Discriminant Analysis Algorithms", IEEE Trans. On Neural Networks, Aug. 2002.
10. J. Luettin and G. Maitre. "Evaluation Protocol for the Extended M2VTS Database (XM2VTS)," DMI for Perceptual Artificial Intelligence, 1998.
11. A. Martinez and R. Benavente. "The AR Face Database", http://rv11.ecn.purdue.edu/aleix/~aleix_faceDB.html, 2003.
12. A. Shashua and A. Levin. "Linear Image Coding for Regression and Classification using the Tensor-rank Principle", IEEE Conf. on Computer Vision and Pattern Recognition (CVPR), Dec. 2001, Hawaii.
13. T. Sim, S. Baker, and M. Bsat. "The CMU Pose, Illumination, and Expression (PIE) Database", Proceedings of the IEEE International Conference on Automatic Face and Gesture Recognition, May, 2002.
14. M. Turk and A. Pentland. "Face Recognition Using Eigenfaces", IEEE Conference on Computer Vision and Pattern Recognition, Maui, Hawaii, 1991.
15. M. Vasilescu and D. Terzopoulos, "Multilinear Subspace Analysis for Image Ensembles", Proc. Computer Vision and Pattern Recognition Conf. (CVPR '03), Vol.2, June, 2003, 93-99.
16. X. Wang and X. Tang. "A unified framework for subspace face recognition," IEEE Trans. Pattern Analysis and Machine Intelligence, vol. 26, No. 9, 2004, pp. 1222 - 1228.
17. W. Wilks. "Mathematical Statistics", Wiley, New York, 1963.
18. M. Yang, "Kernel Eigenfaces vs. Kernel Fisherfaces: Face Recognition Using Kernel Methods", in Proc. of the 5th Int. Conf. on Automatic Face and Gesture Recognition, Washington D. C., May 2002.
19. S. Yan, D. Xu, B. Zhang and H. Zhang. "Graph Embedding: A General Framework for Dimensionality Reduction", Proc. Computer Vision and Pattern Recognition Conf. 2005.
20. J. Ye, R. Janardan, C. Park, and H. Park. "An optimization criterion for generalized discriminant analysis on undersampled problems", IEEE Transactions on Pattern Analysis and Machine Intelligence, V. 26, pp. 982-994, 2004.