J. Phys. I France
Volume 4, Number 11, November 1994
Page(s) 1627 - 1639
DOI: 10.1051/jp1:1994211
J. Phys. I France 4 (1994) 1627-1639

A statistical investigation of bidirectional associative memories (BAM)

J. Kurchan1, L. Peliti2 and M. Saber3

1  Dipartimento di Fisica and Sezione INFN, Università di Roma " La Sapienza ", P.le Aldo Moro 2, I-00185 Roma, Italy
2  Institut Curie, Section de Physique et Chimie, Laboratoire Curie, 11 rue Pierre et Marie Curie, F-75231 Paris Cedex 05, France
3  Département de Physique, Faculté des Sciences, Université " Moulay Ismaïl ", B.P. 4010, Beni M'hamed, Meknès, Morocco

(Received 12 April 1994, received in final form 18 July 1994, accepted 21 July 1994)

We investigate by statistical mechanical methods a stochastic analogue of the bidirectional associative memories introduced by B. Kosko. We derive its storage capacity as a function of the total number of synapses and of the asymmetry of the network.

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