Associative memory on a small-world neural network
Adaptation and Self-Organizing Systems
2009-11-10 v1 Disordered Systems and Neural Networks
Neurons and Cognition
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.
Cite
@article{arxiv.nlin/0310033,
title = {Associative memory on a small-world neural network},
author = {Luis G. Morelli and Guillermo Abramson and Marcelo N. Kuperman},
journal= {arXiv preprint arXiv:nlin/0310033},
year = {2009}
}
Comments
5 pages, 4 figures (eps)