English

A replica approach to the state-dependent synapses neural network

Disordered Systems and Neural Networks 2009-10-31 v1 q-bio

Abstract

The replica method is applied to a neural network model with state-dependent synapses built from those patterns having a correlation with the state of the system greater than a certain threshold. Replica-symmetric and first-step replica-symmetry-breaking results are presented for the storage capacity at zero temperature as a function of this threshold value. A comparison is made with existing results based upon mean-field equations obtained by using a statistical method.

Keywords

Cite

@article{arxiv.cond-mat/9811244,
  title  = {A replica approach to the state-dependent synapses neural network},
  author = {D. Bollé and G. M. Shim and B. Van Mol},
  journal= {arXiv preprint arXiv:cond-mat/9811244},
  year   = {2009}
}

Comments

9 pages, including 2 figures

R2 v1 2026-07-22T12:07:50.597Z