Stochastic Dynamics of Three-State Neural Networks

Abstract

We present here an analysis of the stochastic neurodynamics of a neural network composed of three-state neurons described by a master equation. An outer-product representation of the mas(cid:173) ter equation is employed. In this representation, an extension of the analysis from two to three-state neurons is easily performed. We apply this formalism with approximation schemes to a sim(cid:173) ple three-state network and compare the results with Monte Carlo simulations.

Cite

Text

Ohira and Cowan. "Stochastic Dynamics of Three-State Neural Networks." Neural Information Processing Systems, 1994.

Markdown

[Ohira and Cowan. "Stochastic Dynamics of Three-State Neural Networks." Neural Information Processing Systems, 1994.](https://mlanthology.org/neurips/1994/ohira1994neurips-stochastic/)

BibTeX

@inproceedings{ohira1994neurips-stochastic,
  title     = {{Stochastic Dynamics of Three-State Neural Networks}},
  author    = {Ohira, Toru and Cowan, Jack D.},
  booktitle = {Neural Information Processing Systems},
  year      = {1994},
  pages     = {271-278},
  url       = {https://mlanthology.org/neurips/1994/ohira1994neurips-stochastic/}
}