English

Structured Information in Metric Neural Networks

Adaptation and Self-Organizing Systems 2016-08-16 v1 Exactly Solvable and Integrable Systems

Abstract

The retrieval abilities of spatially uniform attractor networks can be measured by the average overlap between patterns and neural states. We found that metric networks, with local connections, however, can carry information structured in blocks without any global overlap. and blocks attractors. We propose a way to measure the block information, related to the fluctuation of the overlap. The phase-diagram with the transition from local to global information, shows that the stability of blocks grows with dilution, but decreases with the storage rate and disappears for random topologies.

Keywords

Cite

@article{arxiv.nlin/0507066,
  title  = {Structured Information in Metric Neural Networks},
  author = {David Dominguez and Kostadin Koroutchev and Eduardo Serrano and Francisco B. Rodríguez},
  journal= {arXiv preprint arXiv:nlin/0507066},
  year   = {2016}
}

Comments

4 pages, 4 figures

R2 v1 2026-07-22T18:14:12.293Z