On the free energy of the Hopfield model

DOI10.1007/BF02181491zbMath0937.82041MaRDI QIDQ1285047

Guido A. Raggio, Gustavo Guerberoff

Publication date: 6 June 2000

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

Mathematics Subject Classification ID

Neural nets applied to problems in time-dependent statistical mechanics (82C32) Classical dynamic and nonequilibrium statistical mechanics (general) (82C05)

Cites Work

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• Some rigorous results on the Hopfield neural network model
• Large deviation estimates for a conditional probability distribution. Applications to random interaction Gibbs measures
• Rigorous results for the free energy in the Hopfield model
• Gibbs states of the Hopfield model in the regime of perfect memory
• Rigorous bounds on the storage capacity of the dilute Hopfield model
• Gibbs states of the Hopfield model with extensively many patterns.
• Large deviation principles for the Hopfield model and the Kac-Hopfield model
• The free energy of a class of Hopfield models
• Modeling Brain Function
• A free energy bound for the Hopfield model
• Self-averaging in a class of generalized Hopfield models
• Neural networks and physical systems with emergent collective computational abilities.

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