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On rates of convergence for the overlap in the Hopfield model

  • We consider the Hopfield model with n neurons and an increasing number p=p(n) of randomly chosen patterns and use Stein's method to obtain rates of convergence for the central limit theorem of overlap parameters, which holds for every fixed choice of the overlap parameter for almost all realisations of the random patterns.

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Metadaten
Document Type:Article
Language:English
Author:Peter Eichelsbacher, Bastian Martschink
Parent Title (German):Münster Journal of Mathematics
Volume:7
Issue:2
First Page:731
Last Page:752
ISSN:1867-5778
DOI:https://doi.org/10.17879/58269754868
ArXiv Id:http://arxiv.org/abs/1303.5252
Date of first publication:2013/03/21
Departments, institutes and facilities:Fachbereich Ingenieurwissenschaften und Kommunikation
Dewey Decimal Classification (DDC):5 Naturwissenschaften und Mathematik / 51 Mathematik / 519 Wahrscheinlichkeiten, angewandte Mathematik
Entry in this database:2015/04/02