Statistical mechanics of temporal association in neural networks with transmission delays

Herz, Andreas V. M. ; Li, Z. und Hemmen, Jan Leo van (1991): Statistical mechanics of temporal association in neural networks with transmission delays. In: Physical review letters, Bd. 66, Nr. 10: S. 1370-1373

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.

• Dokumententyp: Zeitschriftenartikel
• Publikationsform: Publisher's Version
• Fakultät: Biologie > Department Biologie II > Neurobiologie
• Themengebiete: 500 Naturwissenschaften und Mathematik > 570 Biowissenschaften; Biologie
• ISSN: 0031-9007
• Sprache: Englisch