Retrieval process of an associative memory with a general input-output function

Hidetoshi Nishimori, Ioan Opriş

Research output: Contribution to journalArticlepeer-review

27 Scopus citations

Abstract

The retrieval process of an associative memory with a general input-output function is studied by means of a signal-to-noise ratio analysis. We derive a set of recursion relations for macroscopic variables to describe the time development of the network. By taking the equilibrium limit of the recursion relations, we find that a certain type of nonmonotonic input-output relation of a single neuron yields an enhanced memory capacity of the network compared with the conventional monotonic relation. This behavior is in agreement with the prediction of Morita et al. who used numerical simulations as well as geometrical arguments to reach their conclusion. Our method reveals the relation between the type of the input-output function and the memory capacity in a generic associative memory.

Original languageEnglish (US)
Pages (from-to)1061-1067
Number of pages7
JournalNeural Networks
Volume6
Issue number8
DOIs
StatePublished - Jan 1 1993
Externally publishedYes

Keywords

  • Amari-Maginu theory
  • Associative memory
  • Gaussian noise
  • Input-output function
  • Macrovariables
  • Monte Carlo simulation
  • Retrieval dynamics
  • Signal-to-noise ratio analysis

ASJC Scopus subject areas

  • Cognitive Neuroscience
  • Artificial Intelligence

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