The Hopfield model with superlinearly many patterns

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.

MoreLess

Year of publication:	2013
Authors:	Zhao, James Y.
Published in:	Statistics & Probability Letters. - Elsevier, ISSN 0167-7152. - Vol. 83.2013, 1, p. 350-356
Publisher:	Elsevier
Subject:	Hopfield model \| Free energy \| Mean field models

More details

Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://ebvufind01.dmz1.zbw.eu/10011040106