A bidirectional heteroassociative memory for binary and grey-level patterns

IEEE Transactions on Neural Networks

Volumn 17, Issue 2, 2006, Pages 385-396

  Chartier, Sylvain ^a   Boukadoum, Mounir ^a  

^a UNIVERSITÉ DU QUÉBEC À MONTRÉAL   (Canada)

Author keywords

Associative memories; Bidirectional associative memories (BAM); Learning; Neural networks

Indexed keywords

ASSOCIATIVE STORAGE; COMPUTER SIMULATION; ITERATIVE METHODS; KNOWLEDGE BASED SYSTEMS; LEARNING SYSTEMS; MATHEMATICAL MODELS; SPURIOUS SIGNAL NOISE;

ASSOCIATIVE MEMORIES; BIDIRECTIONAL ASSOCIATIVE MEMORIES (BAM); LEARNING RULE; SELF-CONVERGENT ITERATIVE LEARNING;

NEURAL NETWORKS;

ALGORITHM; ARTICLE; ARTIFICIAL INTELLIGENCE; ARTIFICIAL NEURAL NETWORK; AUTOMATED PATTERN RECOGNITION; COMPUTER ASSISTED DIAGNOSIS; COMPUTER SIMULATION; DECISION SUPPORT SYSTEM; EVALUATION; MATHEMATICAL COMPUTING; METHODOLOGY; THEORETICAL MODEL;

ALGORITHMS; ARTIFICIAL INTELLIGENCE; COMPUTER SIMULATION; DECISION SUPPORT TECHNIQUES; IMAGE INTERPRETATION, COMPUTER-ASSISTED; MODELS, THEORETICAL; NEURAL NETWORKS (COMPUTER); NUMERICAL ANALYSIS, COMPUTER-ASSISTED; PATTERN RECOGNITION, AUTOMATED;

EID: 33644920648     PISSN: 10459227     EISSN: None     Source Type: Journal    
DOI: 10.1109/TNN.2005.863420     Document Type: Article

References (31)

1. T. Kohonen, "Correlation matrix memories," IEEE Trans. Comput., vol. C-21, pp. 353-359, Dec. 1972.
2. S.-I. Amari, "Neural theory of association and concept-formation," Biol. Cybern., vol. 26, pp. 175-185, 1977.
3. J. A. Anderson, J. W. Silverstein, S. A. Ritz, and R. S. Jones, "Distinctive features, categorical perception, and probability learning: Some applications of neural model," Psychol. Rev., vol. 84, pp. 413-451, 1977.
4. B. Kosko, "Bidirectional associative memories," IEEE Trans. Syst., Man, Cybern., vol. 18, no. 1, pp. 49-60, Jan.-Feb. 1988.
5. J. J. Hopfield, "Neural networks and physical systems with emergent collective computational abilities," Proc. Nat. Acad. Sci., vol. 79, pp. 2554-2558, 1982.
6. L. Personnaz, I. Guyon, and G. Dreyfus, "Information storage and retrieval in spin-glass like neural networks," J. Physique Letter, vol. 46, pp. L359-365, 1985.
7. Y. F. Wang, J. B. Cruz Jr, and J. H. Mulligan Jr, "Two coding strategies for bidirectional associative memory," IEEE Trans. Neural Netw., vol. 1, no. 1, pp. 81-92, Mar. 1990.
8. D. Shen and J. B. Cruz Jr, "Encoding strategy for maximum noise tolerance bidirectional associative memory," IEEE Trans. Neural Netw., vol. 16, no. Mar., pp. 293-300, 2005.
9. S. Du, Z. Chen, Z. Yuan, and X. Zhang, "Sensitivity to noise in bidirectional associative memory (BAM)," IEEE Trans. Neural Netw., vol. 16, no. 4, pp. 887-898, Jul. 2005.
10. C.-S. Leung, "Optimum learning for bidirectional associative memory in the sense of capacity," IEEE Trans. Syst., Man, Cybern., vol. 24, no. 5, pp. 791-795, May 1994.
11. H. Oh and S. C. Kothari, "Adaptation of the relaxation method for learning in bidirectional associative memory," IEEE Trans. Neural Netw., vol. 5, no. 4, pp. 576-583, Jul. 1994.
12. T. Wang, X. Zhuang, and X. Xing, "Weighted learning of bidirectional associative memories by global minimization," IEEE Trans. Neural Netw., vol. 3, no. 6, pp. 1010-1018, Nov. 1992.
13. S. Arik, "Global asymptotic stability analysis of bidirectional associative memory neural networks with time delays," IEEE Trans. Neural Netw., vol. 16, no. 3, pp. 580-586, May 2005.
14. L. Wang and Z. Zou, "Capacity of stable periodic solutions in discrete-time bidirectional associative memory neural networks," IEEE Trans. Circuits Syst. II, Exp. Briefs, vol. 51, no. Jun., pp. 315-319, 2004.
15. X. Zhuang, Y. Huang, and S. Chen, "Better learning for bidirectional associative memory," Neural Netw., vol. 6, pp. 1131-1146, 1993.
16. Z. Wang, "A bidirectional associative memory based on optimal linear associative memory," IEEE Trans. Comput., vol. 10, pp. 1171-1179, Oct. 1996.
17. Z. B. Xu, Y. Leung, and X. W. He, "Asymmetric bidirectional associative memories," IEEE Trans. Syst., Man, Cybern., vol. 24, no. 10, pp. 1558-1564, Oct. 1994.
18. Y. Wu and D. A. Pados, "A feedforward bidirectional associative memory," IEEE Trans. Neural Netw., vol. 11, no. 4, Jul. 2000.
19. T. Eom, C. Choi, and J. Lee, "Generalized asymmetrical bidirectional associative memory for multiple association," Appl. Math. Comput., vol. 127, pp. 221-233, 2002.
20. H. Shi, Y. Zhao, and X. Zhuang, "A general model for bidirectional associative memories," IEEE Trans. Syst., Man, Cybern. B, Cybern., vol. 28, no. 4, pp. 511-519, Aug. 1998.
21. Koronovskii, D. I. Trubetskov, and A. E. Khramov, "A discrete population dynamics as a process obeying the nonlinear diffusion equation," Doklady Earth Sci., vol. 372, no. 4, pp. 755-758, 2000.
22. D. Kaplan and L. Glass, Understanding Nonlinear Dynamics. NewYork: Springer-Verlag, 1998.
23. J. M. Zurada, I. Cloete, and E. van der Poel, "Generalized Hopfield networks for associative memories with multi-valued stable states," Neurocomput., vol. 13, pp. 135-149, 1996.
24. J. Storkey and R. Valabregue, "The basins of attraction of a new Hopfield learning rule," Neural Netw, vol. 12, pp. 869-876, 1999.
25. R. S. Sutton, "Learning to predict by the methods of temporal differences," Mach. Learn., vol. 3, pp. 9-44, 1988.
26. J. Bégin and R. Proulx, "Categorization in unsupervised neural networks: The Eidos model," IEEE Trans. Neural Netw., vol. 7, no. 1, pp. 147-154, Jan. 1996.
27. S. Chartier and R. Proulx, "NDRAM: Nonlinear dynamic recurrent associative memory for learning bipolar and nonbipolar correlated patterns," IEEE Trans. Neural Netw., vol. 16, no. 6, pp. 1393-1400, Nov. 2005, to be published.
28. S. Grossberg, "Nonlinear neural networks: Principle, mechanisms, and Architecture," Neural Netw., vol. 1, pp. 17-61, 1989.
29. K. Mehrotra, C. K. Mohan, and S. Ranka, Elements of Artificial Neural Networks. Cambridge, MA: MIT Press, 2000.
30. D.-L. Lee, "A discrete sequential bidirectional associative memory for multistep pattern recognition," Pattern Recognit. Lett., vol. 19, pp. 1087-1102, 1998.
31. W. Gerstner and W. Kistler, Spiking Neuron Models: Single Neurons, Populations, Plasticity. Cambridge, U.K.: Cambridge Univ. Press, 2002.