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Determining The Dynamic Landscape Of Hopfield Networks

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Disordered Systems and Biological Organization

Part of the book series: NATO ASI Series ((NATO ASI F,volume 20))

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Abstract

The purpose of this paper is to describe in a semi-quantitative manner the basins of attraction of the original Hopfield (1982) networks.

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References

  1. J.J. Hopfield (1982): Neural networks with emergent collective computational abilities. Proc.Nat.Acad.Sc. USA, 79, pp. 2554–2558.

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  2. G. Weisbuch, F. Fogelman-Soulie (1985): Scaling laws for the attractors of Hopfield networks. Lettres au Journal de Physique, 46, pp. 623–630.

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  3. D.J. Amit, H. Gutfreund and H. Sompolinsky (1985): Spin glass models of neural networks. Phys. Rev. A, 32, pp. 1007–1018.

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  4. D.J. Amit, H. Gutfreund and H. Sompolinsky (1985): Storing infinite number of patterns in a spin glass models of neural networks. Phys. Rev. Lett., 55, pp. 1530–1533.

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  5. W. Kinzel (1985) Learning and pattern recognition in spin glass models, Z. Phys. B 60, pp.205–213.

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Author information

Authors and Affiliations

  1. Laboratoire de Physique de l’Ecole Normale Supérieure, 24 rue Lhomond, 75231, Paris Cedex 5, France

    Gérard Weisbuch & Dominique D’humieres

Authors
  1. Gérard Weisbuch
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  2. Dominique D’humieres
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Editor information

Editors and Affiliations

  1. Laboratoire de Neurobiologie du Développement, Université de Paris XI, 91405, Orsay, France

    E. Bienenstock

  2. Laboratoire de Dynamique des Reseaux, L.D.R. CESTA, 1, rue Descartes, 75005, Paris, France

    F. Fogelman Soulié

  3. Groupe de Physique des Solides, École Normale Supérieure, 24, rue Lhomond, 75231, Paris, France

    G. Weisbuch

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© 1986 Springer-Verlag Berlin Heidelberg

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Weisbuch, G., D’humieres, D. (1986). Determining The Dynamic Landscape Of Hopfield Networks. In: Bienenstock, E., Soulié, F.F., Weisbuch, G. (eds) Disordered Systems and Biological Organization. NATO ASI Series, vol 20. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-82657-3_18

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  • DOI: https://doi.org/10.1007/978-3-642-82657-3_18

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-82659-7

  • Online ISBN: 978-3-642-82657-3

  • eBook Packages: Springer Book Archive

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