Asynchronous Dynamics of Continuous Time Neural Networks

Abstract

Motivated by mathematical modeling, analog implementation and distributed simulation of neural networks, we present a definition of asynchronous dynamics of general CT dynamical systems defined by ordinary differential equations, based on notions of local times and communication times. We provide some preliminary results on globally asymptotical convergence of asynchronous dynamics for contractive and monotone CT dynamical systems. When ap(cid:173) plying the results to neural networks, we obtain some conditions that ensure additive-type neural networks to be asynchronizable.

Cite

Text

Wang et al. "Asynchronous Dynamics of Continuous Time Neural Networks." Neural Information Processing Systems, 1993.

Markdown

[Wang et al. "Asynchronous Dynamics of Continuous Time Neural Networks." Neural Information Processing Systems, 1993.](https://mlanthology.org/neurips/1993/wang1993neurips-asynchronous/)

BibTeX

@inproceedings{wang1993neurips-asynchronous,
  title     = {{Asynchronous Dynamics of Continuous Time Neural Networks}},
  author    = {Wang, Xin and Li, Qingnan and Blum, Edward K.},
  booktitle = {Neural Information Processing Systems},
  year      = {1993},
  pages     = {493-500},
  url       = {https://mlanthology.org/neurips/1993/wang1993neurips-asynchronous/}
}