Statistical Neurodynamics for sequence processing neural networks with finite dilution
Disordered Systems and Neural Networks
2007-05-23 v2 Statistical Mechanics
Abstract
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.
Cite
@article{arxiv.cond-mat/0611313,
title = {Statistical Neurodynamics for sequence processing neural networks with finite dilution},
author = {Pan Zhang and Yong Chen},
journal= {arXiv preprint arXiv:cond-mat/0611313},
year = {2007}
}
Comments
9 pages, 3 figures