Statistical mechanics of temporal association in neural networks with 
transmission delays

Herz, AVM; Li, Z; van Hemmen, JL

doi:10.1103/PhysRevLett.66.1370

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Statistical mechanics of temporal association in neural networks with transmission delays

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https://journals.aps.org/prl/pdf/10.1103/PhysRevLett.66.1370
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Herz, A., Li, Z., & van Hemmen, J. (1991). Statistical mechanics of temporal association in neural networks with transmission delays. Physical Review Letters, 66(10), 1370-1373. doi:10.1103/PhysRevLett.66.1370.

Cite as: https://hdl.handle.net/21.11116/0000-0002-DE36-8

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.