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Nonlinear Sciences > Adaptation and Self-Organizing Systems

arXiv:nlin/0310033 (nlin)
[Submitted on 23 Oct 2003]

Title:Associative memory on a small-world neural network

Authors: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.
Comments: 5 pages, 4 figures (eps)
Subjects: Adaptation and Self-Organizing Systems (nlin.AO); Disordered Systems and Neural Networks (cond-mat.dis-nn); Neurons and Cognition (q-bio.NC)
Cite as: arXiv:nlin/0310033 [nlin.AO]
  (or arXiv:nlin/0310033v1 [nlin.AO] for this version)
  https://doi.org/10.48550/arXiv.nlin/0310033
Journal reference: Eur. Phys. J. B 38, 495-500 (2004)
Related DOI: https://doi.org/10.1140/epjb/e2004-00144-7

Submission history

From: Guillermo Abramson [view email]
[v1] Thu, 23 Oct 2003 09:22:59 UTC (131 KB)
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