Statistical Neurodynamics for sequence processing neural networks with finite dilution

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dc.creatorZhang, Pan
dc.creatorChen, Yong
dc.date2006-11-13
dc.date2007-04-20
dc.date.accessioned2026-07-07T07:57:22Z
dc.date.available2026-07-07T07:57:22Z
dc.descriptionWe extend the statistical neurodynamics to study transient dynamics of sequence processing neural networks with finite dilution, and the theoretical results is supported by the extensive numerical simulations. It is found that the order parameter equations are completely equivalent to those of the Generating Functional Method, which means that crosstalk noise is normal distribution even in the case of failure in retrieval process. In order to verify the gaussian assumption of crosstalk noise, we numerically obtain the cumulants of crosstalk noise, and third- and fourth-order cumulants are found to be indeed zero even in non-retrieval case.
dc.description9 pages, 3 figures
dc.identifierhttps://arxiv.org/abs/cond-mat/0611313
dc.identifierhttp://arxiv.org/abs/cond-mat/0611313
dc.identifierLect. Notes Comput. Sci. 4491, Part I, pp. 1148-1156, 2007. (ISNN 2007)
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/127627
dc.subjectDisordered Systems and Neural Networks
dc.subjectStatistical Mechanics
dc.titleStatistical Neurodynamics for sequence processing neural networks with finite dilution
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