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Mean-Field Theory of Spin Glasses and Neural Networks with Finite Coordination Number

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Computational Systems — Natural and Artificial

Part of the book series: Springer Series in Synergetics ((SSSYN,volume 38))

Abstract

The mean-field theory of dilute spin glasses and neural networks is studied in the limit where the average coordination number is finite (i.e., the average number of neighbors connected to each site). The zero-temperature phase diagram is calculated. Comparison between the properties of dilute neural networks and fully connected nets is presented. The relationship between the different phases and the percolation transition is discussed.

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References

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Author information

Authors and Affiliations

  1. Department of Physics, Bar-Ilan University, Ramat-Gan, 52100, Israel

    I. Kanter

Authors
  1. I. Kanter
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Editor information

Editors and Affiliations

  1. Institut für Theoretische Physik, Universität Stuttgart, Pfaffenwaldring 57/IV, D-7000, Stuttgart 80, Fed. Rep. of Germany

    Hermann Haken

  2. Center for Complex Systems, Florida Atlantic University, 33431, Boca Raton, FL, USA

    Hermann Haken

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© 1987 Springer-Verlag Berlin Heidelberg

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Kanter, I. (1987). Mean-Field Theory of Spin Glasses and Neural Networks with Finite Coordination Number. In: Haken, H. (eds) Computational Systems — Natural and Artificial. Springer Series in Synergetics, vol 38. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-73089-4_11

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  • DOI: https://doi.org/10.1007/978-3-642-73089-4_11

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-73091-7

  • Online ISBN: 978-3-642-73089-4

  • eBook Packages: Springer Book Archive

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