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The storage capacity of the Hopfield model and moderate deviations

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  • Löwe, Matthias
  • Vermet, Franck

Abstract

This note relates the storage capacity of the Hopfield model of neural networks with possibly correlated patterns to a moderate deviation upper bound for the empirical correlation of the patterns. Examples are, among others, independent patterns with spins that are correlated as in an Ising model or as in a Curie-Weiss model.

Suggested Citation

  • Löwe, Matthias & Vermet, Franck, 2005. "The storage capacity of the Hopfield model and moderate deviations," Statistics & Probability Letters, Elsevier, vol. 75(4), pages 237-248, December.
    • Handle: RePEc:eee:stapro:v:75:y:2005:i:4:p:237-248
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    Cited by:

    1. Löwe, Matthias & Vermet, Franck, 2009. "The swapping algorithm for the Hopfield model with two patterns," Stochastic Processes and their Applications, Elsevier, vol. 119(10), pages 3471-3493, October.
    2. Heusel, Judith & Löwe, Matthias & Vermet, Franck, 2015. "On the capacity of an associative memory model based on neural cliques," Statistics & Probability Letters, Elsevier, vol. 106(C), pages 256-261.

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