Statistical Neurodynamics for sequence processing neural networks with finite dilution

Details Statistical Neurodynamics for sequence processing neural networks with finite dilution Statistical Neurodynamics for sequence processing neural networks with finite dilution

2006-11-13

arxiv.org/abs/cond-mat/0611313v2

Lect. Notes Comput. Sci. 4491, Part I, pp. 1148-1156, 2007. (ISNN 2007)

Physics

Condensed Matter

Disordered Systems and Neural Networks

9 pages, 3 figures

Scientific paper

We 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.

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