The Hopfield model with superlinearly many patterns

James Y. Zhao

Statistics & Probability Letters, 2013, vol. 83, issue 1, 350-356

Abstract: We study the Hopfield model where the ratio α of patterns to sites grows large. We prove that the free energy with inverse temperature β and external field B behaves like βα+γ, where γ=P(2β,B) is the limiting free energy of the Sherrington–Kirkpatrick model with inverse temperature 2β and external field B.

Keywords: Hopfield model; Free energy; Mean field models (search for similar items in EconPapers)
Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:eee:stapro:v:83:y:2013:i:1:p:350-356

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DOI: 10.1016/j.spl.2012.09.026

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