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Conditions for the emergence of spatially asymmetric retrieval states in an attractor neural network

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Central European Journal of Physics

Abstract

In this paper we show that during the retrieval process in a binary symmetric Hebb neural network, spatially localized states can be observed when the connectivity of the network is distance-dependent and a constraint on the activity of the network is imposed, which forces different levels of activity in the retrieval and learning states. This asymmetry in the activity during retrieval and learning is found to be a sufficient condition to observe spatially localized retrieval states. The result is confirmed analytically and by simulation.

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Authors and Affiliations

  1. Departamento de Ingeniería Informática, Universidad Autónoma de Madrid, 28049, Madrid, Spain

    Kostadin Koroutchev

  2. Institute for Computer Systems, Bulgarian Academy of Sciences, 1113, Sofia, Bulgaria

    Kostadin Koroutchev

  3. Departamento de Física Fundamental, Universidad Nacional de Educación a Distancia, c/Senda del Rey, No 9, 28080, Madrid, Spain

    Elka Korutcheva

  4. G. Nadjakov Institute of Solid State Physics, Bulgarian Academy of Sciences, 1784, Sofia, Bulgaria

    Elka Korutcheva

Authors
  1. Kostadin Koroutchev
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  2. Elka Korutcheva
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Koroutchev, K., Korutcheva, E. Conditions for the emergence of spatially asymmetric retrieval states in an attractor neural network. centr.eur.j.phys. 3, 409–419 (2005). https://doi.org/10.2478/BF02475647

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  • DOI: https://doi.org/10.2478/BF02475647

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