Discontinuous Recall Transitions Induced by Competition Between Short- and Long-Range Interactions in Recurrent Networks

Abstract

We present exact analytical equilibrium solutions for a class of recur(cid:173) rent neural network models, with both sequential and parallel neuronal dynamics, in which there is a tunable competition between nearest(cid:173) neighbour and long-range synaptic interactions. This competition is found to induce novel coexistence phenomena as well as discontinuous transitions between pattern recall states, 2-cycles and non-recall states.

Cite

Text

Skantzos et al. "Discontinuous Recall Transitions Induced by Competition Between Short- and Long-Range Interactions in Recurrent Networks." Neural Information Processing Systems, 1998.

Markdown

[Skantzos et al. "Discontinuous Recall Transitions Induced by Competition Between Short- and Long-Range Interactions in Recurrent Networks." Neural Information Processing Systems, 1998.](https://mlanthology.org/neurips/1998/skantzos1998neurips-discontinuous/)

BibTeX

@inproceedings{skantzos1998neurips-discontinuous,
  title     = {{Discontinuous Recall Transitions Induced by Competition Between Short- and Long-Range Interactions in Recurrent Networks}},
  author    = {Skantzos, N. S. and Beckmann, C. F. and Coolen, Anthony C. C.},
  booktitle = {Neural Information Processing Systems},
  year      = {1998},
  pages     = {337-345},
  url       = {https://mlanthology.org/neurips/1998/skantzos1998neurips-discontinuous/}
}