Statistical mechanics of temporal association in neural networks with transmission delays
- 11 March 1991
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 66 (10) , 1370-1373
- https://doi.org/10.1103/physrevlett.66.1370
Abstract
We study the representation of static patterns and temporal sequences in neural networks with signal delays and a stochastic parallel dynamics. For a wide class of delay distributions, the asymptotic network behavior can be described by a generalized Gibbs distribution, generated by a novel Lyapunov functional for the determination dynamics. We extend techniques of equilibrium statistical mechanics so as to deal with time-dependent phenomena, derive analytic results for both retrieval quality and storage capacity, and compare them with numerical simulations.Keywords
This publication has 16 references indexed in Scilit:
- Statistical mechanics of neural networks near saturationPublished by Elsevier ,2004
- Synchronization in Neural AssembliesPhysica Scripta, 1990
- The Hebb Rule: Storing Static and Dynamic Objects in an Associative Neural NetworkEurophysics Letters, 1988
- Delays in Neural NetworksEurophysics Letters, 1988
- Temporal Association in Asymmetric Neural NetworksPhysical Review Letters, 1986
- Sequential state generation by model neural networks.Proceedings of the National Academy of Sciences, 1986
- Spin-glass models of neural networksPhysical Review A, 1985
- Collective properties of neural networks: A statistical physics approachBiological Cybernetics, 1984
- Neural networks and physical systems with emergent collective computational abilities.Proceedings of the National Academy of Sciences, 1982
- The existence of persistent states in the brainMathematical Biosciences, 1974