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25 April 2024
 
  » arxiv » cond-mat/9611027

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Finite size scaling in neural networks
Walter Nadler ; Wolfgang Fink ;
Date 5 Nov 1996
Subject Disordered Systems and Neural Networks; Adaptation and Self-Organizing Systems | cond-mat.dis-nn adap-org nlin.AO
AffiliationInstitut fuer Theoretische Chemie, Universitaet Tuebingen) and Wolfgang Fink (Institut fuer Theoretische Physik, Universitaet Tuebingen
AbstractWe demonstrate that the fraction of pattern sets that can be stored in single- and hidden-layer perceptrons exhibits finite size scaling. This feature allows to estimate the critical storage capacity alpha_c from simulations of relatively small systems. We illustrate this approach by determining alpha_c, together with the finite size scaling exponent u, for storing Gaussian patterns in committee and parity machines with binary couplings and up to K=5 hidden units.
Source arXiv, cond-mat/9611027
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