Binary Autoassociative Morphological Memories Derived from the Kernel Method and the Dual Kernel Method

Proceedings of the International Joint Conference on Neural Networks

Volumn 1, Issue , 2003, Pages 236-241

  Sussner, Peter ^a  

^a UNIVERSITY OF CAMPINAS   (Brazil)

Author keywords

Associative memory; Autoassociative morphological memory; Dual kernel; Error correction capability; Fixed point; Kernel; Morphological neural network; Spurious memory

Indexed keywords

ALGEBRA; ERROR CORRECTION; NEURAL NETWORKS; THEOREM PROVING;

SPURIOUS MEMORY;

ASSOCIATIVE PROCESSING;

EID: 0141461724     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (25)

1. J.A. Anderson, "A Simple Neural Network Generating Interactive Memory," Mathematical Biosciences, vol. 14, pp. 197-220, 1972.
2. G. Birkhoff, Lattice theory, 3rd edition, American Mathematical Society, Providence, RI, 1993.
3. R. Cuninghame-Green, "Minimax algebra and applications," Advances in Electronics and Electron Physics, P. Hawkes ed., vol. 90, pp. 1-121, Academic Press, New York, NY, 1995.
4. P. D. Gader, M. Khabou, and A. Koldobsky, "Morphological Regularization Neural Networks," Pattern Recognition, Special Issue on Mathematical Morphology and Its Applications, vol. 30, no. 6, pp. 935-945, June 2000.
5. M. Graña, and B. Raducanu, "On the application of morphological heteroassociative neural networks," In Proc. Int. Conf. on Image Processing (ICIP), I. Pitas (ed.), pp.501-504, Thessaloniki, Greece, October 2001.
6. M. H. Hassoun, "Dynamic associative neural memories," In Associative Neural Memories: Theory and Implementation, M. H. Hassoun ed.. Oxford University Press, Oxford University Press, 1993.
7. J.J. Hopfield, "Neural networks and physical systems with emergent collective computational abilities," Proceedings of the National Academy of Sciences, vol. 79, pp.2554-2558, 1982.
8. T. Kohonen, "Correlation matrix memory," IEEE Transactions on Computes, 21:353-359, 1972.
9. B. Kosko, "Bidirectional associative memories," IEEE Transactions on Systems, Man, and Cybernetics, vol. 18, pp. 49-60, 1988.
10. R. J. McEliece, E. C. Posner, E. R. Rodemich and S.S. Venkatesh, "The capacity of the Hopfield associative memory," IEEE Transactions on Information Theory, vol. 1, pp. 33-45, 1987.
11. K. Nakano, "Association: a model of associative memory," IEEE Transactions on Systems, Man, Cybernetics, SMC-2:380-388, 1972.
12. G. Palm, "On associative memory," Biological Cybernetics, vol. 36, pp. 19-31, 1980.
13. L.F.C. Pessoa, and P. Maragos, "Morphological regularization neural networks," Pattern Recognition, Special Issue on Mathematical Morphology and Its Applications, vol. 30, no. 6, pp. 945-960, June 2000.
14. B. Raducanu, and M. Graña, "Morphological neural networks for robust visual processing in mobile robotics," Proceedings of the International Joint Conference on Neural Networks, Como, Italy, July 2000.
15. B. Raducanu, M. Graña, and P. Sussner, "Morphological neural networks for vision based self-localization," Proc. of ICRA2001, Int. Conf. on Robotics and Automation, pp. 2059-2064, Seoul, Korea, May 2001.
16. G. X. Ritter, and P. Sussner, "An introduction to morphological neural networks," Proceedings of the 13th International Conference on Pattern Recognition, pp. 709-717, Viena, Austria, 1996.
17. G. X. Ritter, P. Sussner, and J. L. Diaz-de-Leon, "Morphological associative memories," IEEE Transactions on Neural Networks, 9(2):281-292, 1998.
18. G. X. Ritter, J. L. Diaz-de-Leon, and P. Sussner, "Morphological bidirectional associative memories," Neural Networks, Volume 12, pages 851-867, 1999.
19. P. Sussner, "Fixed points of autoassociative morphological memories," In Proceedings of the International Joint Conference on Neural Networks, Como, Italy, July 2000.
20. P. Sussner, "Observations on morphological associative memories and the kernel method," Neurocomputing, vol. 31, pp. 167-183, March 2000.
21. P. Sussner, "Generalizing operations of binary morphological autoassociative memories using fuzzy set theory," accepted for publication in Journal of Mathematical Imaging and Vision, Special Issue on Morphological Neural Networks, September 2002.
22. P. Sussner, "Associative morphological memories based on variations of the kernel and dual kernel methods," accepted for publication in Neural Networks, Special Issue on the International Joint Conference of Neural Networks 2003, March 2003.
23. Y. Won, P. D. Gader, and P.C. Coffield, "Morphological shared-weight neural network with applications to automatic target detection," IEEE Transactions on Neural Networks, 8(5): 1195-1203, 1997.
24. Y. Wu, and D.A. Pados, "A feedforward bidirectional associative memory" IEEE Transactions on Neural Networks, 11(4): 859-866, 2000.
25. Y. Wu, and S.N. Batalama, "An efficient learning algorithm for associative memories," IEEE Transactions on Neural Networks, 11(5): 1058-1066, 2000.