English

Forgetting Memories and their Attractiveness

Disordered Systems and Neural Networks 2018-06-01 v1 Statistical Mechanics Neural and Evolutionary Computing

Abstract

We study numerically the memory which forgets, introduced in 1986 by Parisi by bounding the synaptic strength, with a mechanism which avoid confusion, allows to remember the pattern learned more recently and has a physiologically very well defined meaning. We analyze a number of features of the learning at finite number of neurons and finite number of patterns. We discuss how the system behaves in the large but finite N limit. We analyze the basin of attraction of the patterns that have been learned, and we show that it is exponentially small in the age of the pattern. This is a clearly non physiological feature of the model.

Cite

@article{arxiv.1805.12368,
  title  = {Forgetting Memories and their Attractiveness},
  author = {Enzo Marinari},
  journal= {arXiv preprint arXiv:1805.12368},
  year   = {2018}
}
R2 v1 2026-06-23T02:14:25.764Z