Abstract
We focus on stable and attractive states in a network having two-state neuron-like elements. We calculate the connection matrix which guarantees the stability and the strongest attractivity of p memorized patterns. We present an analytical evaluation of the patterns' attractivity. These results are illustrated by some computer simulations.
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Amit DJ, Gutfreund H, Sompolinsky H (1985a) Phys Rev A 32:1007
Amit DJ, Gutfreund H, Sompolinsky H (1985b) Phys Rev Lett 55:1530
Caianiello ER (1961) J Theor Biol 1:204
Cooper LN, Liberman F, Oja E (1978) Biol Cybern 33:9
Hebb DO (1949) The organization of behavior. Wiley, New York
Hopfield J (1982) Proc Natl Acad Sci USA 79:2554
Kohonen T (1970) Helsinki University of Technical Report TKK-F-A130
Kohonen T (1972) IEEE Trans C-21:353–359
Kohonen T (1984) Self-organization and associative memory. Springer, Berlin Heidelberg New York
Kohonen T, Oja E (1976) Biol Cybern 21:85–95
Kohonen T, Lehtiö P, Rovamo J (1974) Annales Academiae Scientiarum Fennicae A: V Medica 167
Kohonen T, Lehtiö P, Rovamo J, Hyvärinen J, Bry K, Vainio L (1977) Neuroscience 2:1065–1076
Little WA (1974) Math Biosci 19:101
Nakano K (1972) IEEE Trans SMC-2:380–388
Peretto P (1984) Biol Cybern 50:51
Peretto P, Niez JJ (1985) Collective properties of neural networks. In: Proceedings of the winter school on “Disordered Systems and Biological Organization”
Personnaz L, Guyon I, Dreyfus G (1985) J Phys Lett 46:359
Personnaz L, Guyon I, Dreyfus G (1985) J Phys Lett 46:359
Rosenblatt F (1958) Psych Rev 65:386
Weichbuch G, Fogelman-Soulie F (1985) J Phys Lett 46:624
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Cottrell, M. Stability and attractivity in associative memory networks. Biol. Cybern. 58, 129–139 (1988). https://doi.org/10.1007/BF00364159
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DOI: https://doi.org/10.1007/BF00364159