English

Bistable Gradient Networks II: Storage Capacity and Behaviour Near Saturation

Disordered Systems and Neural Networks 2009-11-07 v1

Abstract

We examine numerically the storage capacity and the behaviour near saturation of an attractor neural network consisting of bistable elements with an adjustable coupling strength, the Bistable Gradient Network (BGN). For strong coupling, we find evidence of a first-order "memory blackout" phase transition as in the Hopfield network. For weak coupling, on the other hand, there is no evidence of such a transition and memorized patterns can be stable even at high levels of loading. The enhanced storage capacity comes, however, at the cost of imperfect retrieval of the patterns from corrupted versions.

Keywords

Cite

@article{arxiv.cond-mat/0205465,
  title  = {Bistable Gradient Networks II: Storage Capacity and Behaviour Near Saturation},
  author = {Patrick N. McGraw and Michael Menzinger},
  journal= {arXiv preprint arXiv:cond-mat/0205465},
  year   = {2009}
}

Comments

15 pages, 12 eps figures. Submitted to Phys. Rev. E. Sequel to cond-mat/0203568