Title: Mean-field theory for the Q-state Potts-glass neural network with biased patterns
Authors: Bollé, Désiré ×
Cools, Ronald
Dupont, Patrick
Huyghebaert, J #
Issue Date: Feb-1993
Publisher: Iop publishing ltd
Series Title: Journal of Physics A. Mathematical and General vol:26 issue:3 pages:549-562
Abstract: A systematic study of the Q-state Potts model of neural networks, extended to include biased patterns, is made for extensive loading alpha. Mean-field equations are written down within the replica symmetric approximation, for general Q and arbitrary temperature T. For the Q = 3 model and two classes of representative bias parameters, the storage capacity and retrieval quality at zero temperature are discussed as functions of the bias, taking into account the Mattis retrieval gate and the lowest symmetric states. The T-alpha diagram is obtained and the stability properties of the retrieval state are analysed at finite temperatures. A comparison is made with the biased Hopfield model.
ISSN: 0305-4470
Publication status: published
KU Leuven publication type: IT
Appears in Collections:Theoretical Physics Section
Numerical Analysis and Applied Mathematics Section
Nuclear Medicine & Molecular Imaging
Research Group Experimental Neurology
Laboratory for Cognitive Neurology
× corresponding author
# (joint) last author

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