The Ashkin-Teller neural network near saturation
Disordered Systems and Neural Networks
2009-10-31 v2 Statistical Mechanics
q-bio
Abstract
The thermodynamic and retrieval properties of the Ashkin-Teller neural network model storing an infinite number of patterns are examined in the replica-symmetric mean-field approximation. In particular, for linked patterns temperature-capacity phase diagrams are derived for different values of the two-neuron and four-neuron coupling strengths. This model can be considered as a particular non-trivial generalisation of the Hopfield model and exhibits a number of interesting new features. Some aspects of replica-symmetry breaking are discussed.
Cite
@article{arxiv.cond-mat/9906274,
title = {The Ashkin-Teller neural network near saturation},
author = {D. Bolle and P. Kozlowski},
journal= {arXiv preprint arXiv:cond-mat/9906274},
year = {2009}
}
Comments
Latex, 12 pages, 5 ps figures, minor changes: some comments added