Associative memory on a small-world neural network

Luis G. Morelli; Guillermo Abramson; Marcelo N. Kuperman

doi:10.1140/epjb/e2004-00144-7

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arXiv · nlin/0310033

Associative memory on a small-world neural network

Luis G. Morelli·Guillermo Abramson·Marcelo N. Kuperman

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Abstract

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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Luis G. Morelli, Guillermo Abramson, Marcelo N. Kuperman. 2003-10-23. Associative memory on a small-world neural network. https://doi.org/10.1140/epjb%2Fe2004-00144-7

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