A class of self-stabilizing MCA learning algorithms

IEEE Transactions on Neural Networks

Volumn 17, Issue 6, 2006, Pages 1634-1638

  Ye, Mao ^a   Fan, Xu Qian ^b   Li, Xue ^c  

^a UNIVERSITY OF ELECTRONIC SCIENCE AND TECHNOLOGY OF CHINA   (China)

^b JINAN UNIVERSITY   (China)

^c UNIVERSITY OF QUEENSLAND   (Australia)

Author keywords

Eigenvector; Feature extraction; Global convergence; Minor component analysis; Neural networks

Indexed keywords

ARTIFICIAL INTELLIGENCE; COMPUTER SIMULATION; FEATURE EXTRACTION; INDEPENDENT COMPONENT ANALYSIS; LEARNING ALGORITHMS; NEURAL NETWORKS;

GLOBAL CONVERGENCE; MINOR COMPONENT ANALYSIS (MCA);

LEARNING SYSTEMS;

ALGORITHM; ARTIFICIAL INTELLIGENCE; AUTOMATED PATTERN RECOGNITION; INFORMATION RETRIEVAL; LETTER; METHODOLOGY; PRINCIPAL COMPONENT ANALYSIS;

ALGORITHMS; ARTIFICIAL INTELLIGENCE; INFORMATION STORAGE AND RETRIEVAL; PATTERN RECOGNITION, AUTOMATED; PRINCIPAL COMPONENT ANALYSIS;

EID: 34548332708     PISSN: 10459227     EISSN: None     Source Type: Journal    
DOI: 10.1109/TNN.2006.880979     Document Type: Article

References (12)

1. G. Cirrincione, M. Cirrincione, J. Herault, and S. Van Huffel, "The MCA EXIN neuron for the minor component analysis," IEEE Trans. Neural Netw., vol. 13, no. 1, pp. 160-187, Jan. 2002.
2. D.-Z. Feng, W.-X. Zheng, and Y. Jia, "Neural network learning algorithms for tracking minor subspace in high-dimensional data stream," IEEE Trans. Neural Netw., vol. 16, no. 3, pp. 513-521, May 2005.
3. G. H. Golub and C. F. Van Loan, Matrix Computation. Baltimore, MD: Johns Hopkins Univ. Press, 1996.
4. J. C. Lv,M. Ye, and Z. Yi, "Convergence analysis of OJA+ algorithm," in Proc. Int. Symp. Neural Netw. (ISNN2004), F. L. Yin, J.Wang, and C. G. Guo, Eds., 2004, vol. 3173, pp. 812-815, Lecture Notes in Computer Science.
5. R. Möller, "A self-stabilizing learning rule for minor component analysis," Int. J. Neural Syst., vol. 14, no. 1, pp. 1-8, Feb. 2004.
6. R. Möller and K. Axel, "Coupled principal component analysis," IEEE Trans. Neural Netw., vol. 15, no. 1, pp. 214-222, Jan. 2004.
7. E. Oja, "Principal components, minor components, and linear neural networks," Neural Netw., vol. 5, no. 6, pp. 927-935, Nov. 1992.
8. A. Taleb and G. Cirrincione, "Against the convergence of the minor component analysis neurons," IEEE Trans. Neural Netw., vol. 10, no. 1, pp. 207-210, Jan. 1999.
9. M. Ye and Z. Yi, F. L. Yin, J. Wang, and C. G. Guo, Eds., "On the discrete time dynamics of the MCA neural networks," in Proc. Int. Symp. Neural Netw. (ISNN2004), 2004, vol. 3173, pp. 815-821, Lecture Notes in Computer Science.
10. M. Ye, "Global convergence analysis of a self-stabilizing MCA learning algorithm," Neurocomput., vol. 67, pp. 321-327, Jul. 2005.
11. Z. Yi, M. Ye, J. C. Lv, and K. K. Tan, "Convergence analysis of a deterministic discrete time system of Oja's PCA learning algorithm," IEEE Trans. Neural Netw., vol. 16, no. 6, pp. 1318-1328, Nov. 2005.
12. P. J. Zufiria, "On the discrete-time dynamics of the basic Hebbian neural network node," IEEE Trans. Neural Netw., vol. 13, no. 6, pp. 1342-1352, Nov. 2002.