Associative memory on a small-world neural network

Details Associative memory on a small-world neural network Associative memory on a small-world neural network

2003-10-23

arxiv.org/abs/nlin/0310033v1

Eur. Phys. J. B 38, 495-500 (2004)

Nonlinear Sciences

Adaptation and Self-Organizing Systems

5 pages, 4 figures (eps)

Scientific paper

10.1140/epjb/e2004-00144-7

We study a model of associative memory based on a neural network with small-world structure. The efficacy of the network to retrieve one of the stored patterns exhibits a phase transition at a finite value of the disorder. The more ordered networks are unable to recover the patterns, and are always attracted to mixture states. Besides, for a range of the number of stored patterns, the efficacy has a maximum at an intermediate value of the disorder. We also give a statistical characterization of the attractors for all values of the disorder of the network.

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