The Hopfield model on a sparse Erdös-Renyi graph
type: Item
instance of: scholarly article
title: The Hopfield model on a sparse Erdös-Renyi graph
zbMATH Open document ID: 1221.82054
author: Franck Vermet
author: M. Löwe
published in: Journal of Statistical Physics
publication date: 2011-05-23T00:00:00Z
review text: The storage capacity of the Hopfield model on a sparse \(G(N,p)\) random graph is analyzed. The Hopfield model is well known to be a spin glass on the one hand, but also to model a neural network, on the other. It is proved that the storage capacity is proportional to \(\alpha p N\) (with \(\alpha\leq \alpha_c=0.03\)) in the entire regime where the corresponding random graph is asymptotically connected.
Mathematics Subject Classification ID: 82B41
zbMATH DE Number: 5898924
zbMATH Keywords: Hopfield model
zbMATH Keywords: Erdös-Renyi graph
zbMATH Keywords: random matrix
zbMATH Keywords: spectral theory
zbMATH Keywords: statistical mechanics
reviewed by: U. A. Rozikov
MaRDI profile type: Publication
full work available at URL: s10955-011-0167-1
OpenAlex ID: W2002679292
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DOI: 10.1007/S10955-011-0167-1
description: scientific article; zbMATH DE number 5898924