Parisi Phase in a Neuron

G. Györgyi, P. Reimann

Research output: Contribution to journalArticle

11 Citations (Scopus)

Abstract

Pattern storage by a single neuron is revisited. Generalizing Parisi’s framework for spin glasses, we obtain a variational free energy functional for the neuron. The solution is demonstrated at high temperature and large relative number of examples, where several phases are identified by thermodynamical stability analysis, two of them exhibiting spontaneous full replica symmetry breaking. We give analytically the curved segments of the order parameter function and, in representative cases, compute the free energy, the storage error, and the entropy.

Original languageEnglish
Pages (from-to)2746-2749
Number of pages4
JournalPhysical review letters
Volume79
Issue number14
DOIs
Publication statusPublished - Jan 1 1997

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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