Increased storage capacity in hopfield networks by small-world topology

  • Authors:

  • Karsten Kube;Andreas Herzog;Bernd Michaelis

  • Affiliations:

  • Institute of Electronics, Signal Processing and Communications, Otto-von-Guericke University Magdeburg, Magdeburg, Germany;Institute of Electronics, Signal Processing and Communications, Otto-von-Guericke University Magdeburg, Magdeburg, Germany;Institute of Electronics, Signal Processing and Communications, Otto-von-Guericke University Magdeburg, Magdeburg, Germany

  • Venue:
  • ICNC'06 Proceedings of the Second international conference on Advances in Natural Computation - Volume Part I
  • Year:
  • 2006

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Abstract

We found via numerical simulations, that connectivity structure in sparsely connected hopfield networks for random bit patterns affects the storage capacity. Not only the number of local connections is important, but also, and in contrast, the recently found small-world-topology will increase the quality of recalled patterns. Here, we propose and investigate the impact from network network architecture to pattern storage capacity capabilities.