On the parallel dynamics of the \(Q\)-state Potts and \(Q\)-Ising neural networks

DOI10.1007/BF01049424zbMath1081.82607MaRDI QIDQ1280414

V. A. Zagrebonov, D. Bollé, Bart Vinck

Publication date: 1993

Published in: Journal of Statistical Physics (Search for Journal in Brave)

zbMATH Keywords

parallel dynamicsprobabilistic approachextreme dilutionmultistate networks

Mathematics Subject Classification ID

Neural networks for/in biological studies, artificial life and related topics (92B20) Neural nets applied to problems in time-dependent statistical mechanics (82C32)

Related Items (3)

Reducing a cortical network to a Potts model yields storage capacity estimates ⋮ Parallel dynamics of the fully connected Blume-Emery-Griffiths neural network ⋮ Retrieval and chaos in extremely diluted non-monotonic neural networks

Cites Work

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• Thermodynamic limit of the \(q\)-state Potts-Hopfield model with infinitely many patterns
• Two-state representations of three-state neural networks
• Stability properties of Potts neural networks with biased patterns and low loading
• Image evolution in Potts-glass neural networks
• Main overlap dynamics for multistate neural networks
• Learning grey-toned patterns in neural networks
• On the overlap dynamics of multi-state neural networks with a finite number of patterns
• Invariant recognition in Potts glass neural networks

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