Coupled Dynamics of Fast Neurons and Slow Interactions

Abstract

A simple model of coupled dynamics of fast neurons and slow inter(cid:173) actions, modelling self-organization in recurrent neural networks, leads naturally to an effective statistical mechanics characterized by a partition function which is an average over a replicated system. This is reminiscent of the replica trick used to study spin-glasses, but with the difference that the number of replicas has a physi(cid:173) cal meaning as the ratio of two temperatures and can be varied throughout the whole range of real values. The model has inter(cid:173) esting phase consequences as a function of varying this ratio and external stimuli, and can be extended to a range of other models.

Cite

Text

Coolen et al. "Coupled Dynamics of Fast Neurons and Slow Interactions." Neural Information Processing Systems, 1993.

Markdown

[Coolen et al. "Coupled Dynamics of Fast Neurons and Slow Interactions." Neural Information Processing Systems, 1993.](https://mlanthology.org/neurips/1993/coolen1993neurips-coupled/)

BibTeX

@inproceedings{coolen1993neurips-coupled,
  title     = {{Coupled Dynamics of Fast Neurons and Slow Interactions}},
  author    = {Coolen, A.C.C. and Penney, R. W. and Sherrington, D.},
  booktitle = {Neural Information Processing Systems},
  year      = {1993},
  pages     = {447-454},
  url       = {https://mlanthology.org/neurips/1993/coolen1993neurips-coupled/}
}