Retrieval Properties of Bidirectional Associative Memories |
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Authors: | D Gandolfo L Laanait |
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Institution: | (1) Centre de Physique Théorique, CNRS, Luminy, F-13288 Marseille Cedex 9, France;(2) PhyMat, Département de Mathématiques, UTV, F-83957 La Garde, France |
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Abstract: | We study a two-layer neural network made of N and M(N) neurons, producing a two-way association search for a family of p(N) patterns, where each pattern is a pair of two independent sub-categories of information having respectively N and M(N) components. In terms of the ratio =lim
N
M(N)/N, we study the retrieval capability of this network and show that there exists, at least, three regimes of association for which we determine the evolution of the threshold
c
() of the storage capacity =lim
N
p(N)/N. |
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Keywords: | bidirectionality storage capacity categorized patterns hamming distance |
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