Conformal embedding analysis with local graph modeling on the unit hypersphere

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

Volumn , Issue , 2007, Pages

  Fu, Yun ^a   Liu, Ming ^a   Huang, Thomas S ^a  

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

Author keywords

[No Author keywords available]

Indexed keywords

CONFORMAL MAPPING; EMBEDDED SYSTEMS; FEATURE EXTRACTION; IMAGE CLASSIFICATION;

CONFORMAL EMBEDDING ANALYSIS (CEA); VISUAL CLASSIFICATION;

COMPUTER GRAPHICS;

EID: 35148870866     PISSN: 10636919     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/CVPR.2007.383410     Document Type: Conference Paper

References (28)

1. M. Belkin and P. Niyogi, "Laplacian Eigenmaps for Dimensionality Reduction and Data Representation," Neural Computation, vol. 15, no. 6, pp. 1373-1396, 2003. 1
2. R.O. Duda, E.H. Peter, and G.S. David, Pattern Classification (2nd ed.), Wiley Interscience, 2000. 1
3. Y. Fu and T.S. Huang, Locally Linear Embedded Eigenspace Analysis, www.ifp.uiuc.edu/~yunfu2/papers/LEA-Yun05.pdf, IFP-TR, UIUC, Jan. 1, 2005. 1
4. Y. Fu and T.S. Huang, "Unsupervised Locally Embedded Clustering For Automatic High-Dimensional Data Labeling," IEEE Conf. on ICASSP'07, pp. 1057-1060, 2007. 4
5. X.F. He, S.C. Yan, Y.X. Hu, P. Niyogi, and H.-J. Zhang, "Face Recognition Using Laplacianfaces," IEEE Trans, on PAMI, vol. 27, no. 3, pp. 328-340, 2005. 1, 5
6. X.F. He, D. Cai, S.C. Yan, and H.J. Zhang, "Neighborhood Preserving Embedding," IEEE Conf. on ICCV'05, vol. 2, pp. 1208-1213, 2005. 1
7. J. Ham, D.D. Lee, S. Mika, and B. Schölkopf, "A Kernel View of the Dimensionality Reduction of Manifolds," ICML'04, 2004. 1
8. M.A. Turk and A.P. Pentland, "Face Recognition Using Eigenfaces," IEEE Conf. on CVPR, pp. 586-591, 1991. 1, 5
9. P.N. Belhumeur, J.P. Hepanha, and D.J. Kriegman, "Eigen-faces vs. Fisherfaces: Recognition Using Class Specific Linear Projection," IEEE Trans, on PAMI, vol. 19, no. 7, pp. 711-720, 1997. 1, 5
10. S.T. Roweis and L.K. Saul, "Nonlinear Dimensionality Reduction by Locally Linear Embedding," Science, vol. 290, pp. 2323-2326, 2000. 1, 4
11. L.K. Saul and S.T. Roweis, "Think Globally, Fit Locally: Unsupervised Learning of Low Dimensional Manifolds," J. of Machine. Learning Research, vol. 4, pp. 119-155, 2003. 1
12. J.B. Tenenbaum, V.de Silva, and J.C. Langford, "A Global Geometric Framework for Nonlinear Dimensionality Reduction," Science, vol. 290, pp. 2319-2323, 2000. 1
13. K.Q. Weinberger and L.K. Saul, "Unsupervised Learning of Image Manifolds by Semidefinite Programming," IEEE Conf. on CVPR'04, vol. 2, pp. 988-995, 2004. 1, 2
14. S.C. Yan, D. Xu, B.Y Zhang, and H.J. Zhang, "Graph Embedding: A General Framework for Dimensionality Reduction," IEEE Conf. on CVPR'05, pp. 830-837, 2005. 1, 5
15. D.M.J. Tax and P. Juszczak, "Kernel Whitening for One-Class Classification,"Int'l Journal of Pattern Recognition and Artificial Intelligence, vol.17, no.3, pp. 333-347, 2003. 4
16. B. Moghaddam and A. Pentland, "Probabilistic Visual Learning for Object Representation," IEEE Trans. on PAMI, vol. 19, no. 7, pp. 696-710, 1997. 1
17. A. Weingessel and K. Hornik, "Local PCA Algorithms," IEEE Trans. on NN, vol. 11, no. 6, pp. 1242-1250, 2000. 1
18. D. Cai, X.F. He, J.W. Han, and H.-J. Zhang, "Orthogonal Laplacianfaces for Face Recognition," IEEE Trans. on Image Processing, vol. 15, no. 11, pp. 3608-3614, 2006. 2
19. H.-T. Chen, H.-W. Chang, and T.-L. Liu, "Local Discriminant Embedding and Its Variants," IEEE Conf. on CVPR'05, pp. 846-853, 2005. 1, 5
20. A.B.A. Graf, A.J. Smola, and S. Borer, "Classification in a Normalized Feature Space Using Support Vector Machines," IEEE Trans. on NN, vol. 14, no. 3, pp. 597 - 605, 2003. 2
21. A. Banerjee, I.S. Dhillon, J. Ghosh, and S. Sra, "Clustering on the Unit Hypersphere Using Von Mises-Fisher Distributions," J. of Mach. Learn. Res., vol.6, pp.1345-1382, 2005. 2
22. F. Samaria and A.C. Harter, "Parameterisation of a Stochastic Model for Human Face Identification," IEEE Workshop on Applications of Computer Vision, pp. 138-142, 1994. 5
23. M.-H. Yang, "Kernel Eigenfaces vs. Kernel Fisherfaces: Face Recognition Using Kernel Methods," IEEE Conf. on FG '02, pp. 215-220, 2002. 1, 2
24. M.-H. Yang, "Extended Isomap for Pattern Classification," AAAI '02, pp. 224-229, 2002. 2
25. S.C. Yan, H.J. Zhang, Y.X. Hu, B.Y Zhang, and Q.S. Cheng, "Discriminant Analysis on Embedded Manifold," ECCV'04, pp. 121-132, 2004. 2
26. Q.B. You, N.N. Zheng, S.Y. Du, and Y. Wu, "Neighborhood Discriminant Projection for Face Recognition," IEEE Conf. on ICPR'06, pp. 532-535, 2006. 2
27. D. Cai, X.F. He, K. Zhou, J.W. Han, and H.J. Bao, "Locality Sensitive Discriminant Analysis," Proc. Int. Joint Conf. on Artificial Intelligence (IJCAI'07), India, Jan. 2007. 1, 5
28. Y. Bengio, J.F. Paiement, P. Vincent, O. Delalleau, N. L. Roux, and M. Ouimet, "Out-of-Sample Extensions for LLE, Isomap, MDS, Eigenmaps, and Spectral Clustering," NIPS'04, 2004. 1