Nonlinear multiclass discriminant analysis

IEEE Signal Processing Letters

Volumn 10, Issue 7, 2003, Pages 196-199

  Ma, Junshui ^a   Sancho Gómez, José L ^b   Ahalt, Stanley C ^a  

^a The Ohio State University   (United States)

^b UNIVERSIDAD CARLOS III DE MADRID   (Spain)

Author keywords

Discriminant analysis; Feature extraction; Kernel method

Indexed keywords

ALGORITHMS; COMPUTATIONAL COMPLEXITY; FEATURE EXTRACTION; MATRIX ALGEBRA; NEURAL NETWORKS;

DISCRIMINANT ANALYSIS; KERNEL FUNCTION;

SIGNAL PROCESSING;

EID: 0038610904     PISSN: 10709908     EISSN: None     Source Type: Journal    
DOI: 10.1109/LSP.2003.813680     Document Type: Letter

References (11)

1. R. A. Fisher, "The used of multiple measurements in taxonomic problems," Ann. Eugenics, vol. 7, pp. 179-188, 1936.
2. K. Fukunaga, Introduction to Statistical Pattern Recognition, 2nd ed. New York: Academic, 1990.
3. C. M. Bishop, Neural Networks for Pattern Recognition, New York: Oxford Univ. Press, 1995.
4. S. Mika, G. Rätsch, J. Weston, B. Schölkopf, and K.-R. Muller, "Fisher discriminant analysis with kernels," in Proc. Neural Networks for Signal Processing IX, Y.-H, Hu, J. Larsen, E. Wilson, and S. Douglas, Eds: IEEE 1999, pp. 41-48.
5. V. Roth and V. Steinhage, "Nonlinear discriminant analysis using kernel functions," in Advances in Neural Information Processing Systems, S. A. Solla, T. K. Leen, and K.-R. Müller, Eds. Cambridge, MA: MIT Press, 1999, vol. 12, pp. 568-574.
6. G. Baudat and F. Anouar, "Generalized discriminant analysis using a kernel approach," Neural Comput., vol. 12, no. 10, pp. 2382-2404, 2000.
7. M. A. Aizerman, E. M. Braverman, and L. I. Rozonoér, "Theoretical foundations of the potential function method in pattern recognition learning," Automat. Remote Contr., vol. 25, pp. 821-837, 1964.
8. S. Saitoh, Theory of Reproducing Kernels and Its Applications, Harlow, U.K.: Longman Scientific and Technical, 1988.
9. C. J. C. Burges, "A tutorial on support vector machines for pattern recognition," Data Mining Knowl. Discov., vol. 2, no. 2, pp. 121-167, 1998.
10. A. Ruiz and P. E. Lopez-de-Teruel, "Nonlinear kernel-based statistical pattern analysis," IEEE Trans. Neural Networks, vol. 12, pp. 16-32, Jan. 2001.
11. J. Ma, J. Theiler, and S. Perkins, "Two realizations of a general feature extraction framework," Los Alamos Lab., Los Alamos, NM, Los Alamos Lab. Directed Research and Development (LDRD) Program Tech. Rep., 2002.