A central limit theorem for the overlap in the Hopfield model
type: Item
instance of: scholarly article
title: A central limit theorem for the overlap in the Hopfield model
zbMATH Open document ID: 0872.60015
author: Barbara Gentz
published in: The Annals of Probability
publication date: 1997-10-01T00:00:00Z
Mathematics Subject Classification ID: 60F05
Mathematics Subject Classification ID: 60K35
Mathematics Subject Classification ID: 82B44
Mathematics Subject Classification ID: 82C32
zbMATH DE Number: 986787
zbMATH Keywords: fluctuations
zbMATH Keywords: Hopfield model
zbMATH Keywords: overlap
zbMATH Keywords: neural networks
zbMATH Keywords: Laplace's method
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1214/aop/1041903207
OpenAlex ID: W3117263368
cites work: Gibbs states of the Hopfield model in the regime of perfect memory
cites work: An almost sure large deviation principle for the Hopfield model
cites work: The retrieval phase of the Hopfield model: A rigorous analysis of the overlap distribution
cites work: Q3681702
cites work: An almost sure central limit theorem for the overlap parameters in the Hopfield model
cites work: Neural networks and physical systems with emergent collective computational abilities.
cites work: Q3997990
cites work: Concentration of measure and isoperimetric inequalities in product spaces
DOI: 10.1214/AOP/1041903207
description: scientific article; zbMATH DE number 986787