Memory capacity in neural networks with spatial correlations between attractors

D. Gandolfo, L. Laanait, A. Messager and J. Ruiz

Physica A: Statistical Mechanics and its Applications, 1999, vol. 264, issue 1, 305-317

Abstract: We consider the neural network model (Miyashita, 1988. Griniasty et al., 1993) proposed to describe neurophysiological experiments in which structurally uncorrelated patterns are converted into spatially correlated attractors. For such a network of N neurons and for values of the coupling constant a between succeeding patterns, taken in the interval [0,12), we prove the existence of a threshold storage capacity αc(a) such that there exists a local minima (in the energy function) near each of the M(N)(<αc(a)N) stimuli patterns.

Date: 1999
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:264:y:1999:i:1:p:305-317

DOI: 10.1016/S0378-4371(98)00449-X

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