The relativistic Hopfield network: Rigorous results

DOI10.1063/1.5077060zbMath1421.82027arXiv1810.12160OpenAlexW3098994624MaRDI QIDQ5379363

Matteo Notarnicola, Elena Agliari, Adriano Barra

Publication date: 28 May 2019

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

Full work available at URL: https://arxiv.org/abs/1810.12160

zbMATH Keywords

Hamiltonianfree energyHopfield networksrelativistic Hopfield networks

Mathematics Subject Classification ID

Neural networks for/in biological studies, artificial life and related topics (92B20) Hamilton's equations (70H05) Neural nets applied to problems in time-dependent statistical mechanics (82C32) Relativistic dynamics for problems in Hamiltonian and Lagrangian mechanics (70H40) Series expansions (e.g., Taylor, Lidstone series, but not Fourier series) (41A58)

Related Items (3)

Nonlinear PDEs approach to statistical mechanics of dense associative memories ⋮ Generalized Guerra's interpolation schemes for dense associative neural networks ⋮ The relativistic Hopfield model with correlated patterns

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