Influence of noise on the function of a ''physiological'' neural network
type: Item
instance of: scholarly article
title: Influence of noise on the function of a ''physiological'' neural network
zbMATH Open document ID: 0616.92004
DOI: 10.1007/BF00319512
published in: Biological Cybernetics
publication date: 1987-01-01T00:00:00Z
review text: A model neural network with stochastic elements in its millisecond dynamics is investigated. The network consists of neuronal units which are modelled in close analogy to physiological neurons. Dynamical variables of the network are the cellular potentials, axonic currents and synaptic efficacies. The dynamics of the synapses obeys a modified Hebbian rule and, as proposed by \textit{C. v.d. Malsburg} [see Nervous structures with dynamical links. Ber. Bunsenges. Phys. Chemie 6, 703-710 (1985)], develop on a time scale of a tenth of a second. In a previous publication [ibid. 54, 319- 335 (1986; Zbl 0591.92010)] we have confirmed that the resulting noiseless auto-associative network is capable of the well-known computational tasks of formal associative networks. In the present paper we demonstrate that random fluctuations of the membrane potential improve the performance of the network. In comparison to a deterministic network a noisy neural network can learn at lower input frequencies and with lower average neural firing rates. The electrical activity of a noisy network is very reminiscent of that observed by physiological recordings. We demonstrate furthermore that associative storage reduces the effective dimension of the phase space in which the electrical activity of the network develops.
Mathematics Subject Classification ID: 92Cxx
Mathematics Subject Classification ID: 94C99
zbMATH DE Number: 3999724
zbMATH Keywords: synaptic plasticity
zbMATH Keywords: stochastic neural network
zbMATH Keywords: model neural network
zbMATH Keywords: physiological neurons
zbMATH Keywords: cellular potentials
zbMATH Keywords: axonic currents
zbMATH Keywords: synaptic efficacies
zbMATH Keywords: noiseless auto-associative network
zbMATH Keywords: random fluctuations of the membrane potential
zbMATH Keywords: associative storage
Wikidata QID: Q52258366
author: Joachim M. Buhmann
author: Klaus Schulten
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 3999724