Finite size effects in neural networks

Laura Viana, Arnulfo Castellanos, A. C.C. Coolen

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

1 Scopus citations

Abstract

In this paper we give an overview of a recently developed theory [1, 2] which allows for calculating finite size corrections to the dynamical equations describing the dynamics of separable Neural Networks, away from saturation. According to this theory, finite size effects are described by a linear-noise Fokker Planck equation for the fluctuations (corresponding to an Ornstein-Uhlenbeck process), whose solution is characterized by the first two moments. The theory is applied to a particular problem in which detailed balance does not hold.

Original languageEnglish
Title of host publicationFoundations and Tools for Neural Modeling - International Work-Conference on Artificial and Natural Neural Networks, IWANN 1999, Proceedings
EditorsJosé Mira, Juan V. Sánchez-Andrés
PublisherSpringer Verlag
Pages393-400
Number of pages8
ISBN (Print)3540660690, 9783540660699
DOIs
StatePublished - 1999
Event5th International Work-Conference on Artificial and Natural Neural Networks, IWANN 1999 - Alicante, Spain
Duration: 2 Jun 19994 Jun 1999

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume1606
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

Conference5th International Work-Conference on Artificial and Natural Neural Networks, IWANN 1999
Country/TerritorySpain
CityAlicante
Period2/06/994/06/99

Bibliographical note

Publisher Copyright:
© Springer-Verlag Berlin Heidelberg 1999.

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