Lower bounds on the restitution error in the Hopfield model

DOI10.1007/S004400050081zbMath0870.60021OpenAlexW2082662184MaRDI QIDQ679160

Daria Loukianova

Publication date: 1 September 1997

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s004400050081

zbMATH Keywords

storage capacityHopfield modellocal minima of the Hamiltonian

Mathematics Subject Classification ID

Neural networks for/in biological studies, artificial life and related topics (92B20) Pattern recognition, speech recognition (68T10) Large deviations (60F10) Sample path properties (60G17)

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On a model of associative memory with huge storage capacity ⋮ On the capacity of an associative memory model based on neural cliques ⋮ Graph Degree Sequence Solely Determines the Expected Hopfield Network Pattern Stability ⋮ The capacity of \(q\)-state Potts neural networks with parallel retrieval dynamics ⋮ The Hopfield model on a sparse Erdös-Renyi graph ⋮ Fluctuations of the free energy in the high temperature Hopfield model ⋮ Moderate deviations for the overlap parameter in the Hopfield model ⋮ The storage capacity of the Hopfield model and moderate deviations ⋮ Opinion formation in a heterogeneous population --- a new approach to the Hopfield model ⋮ On the storage capacity of Hopfield models with correlated patterns

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