The three-state layered neural network with finite dilution

W.k Theumann and R Erichsen

Physica A: Statistical Mechanics and its Applications, 2004, vol. 341, issue C, 262-272

Abstract: The dynamics and the stationary states of an exactly solvable three-state layered feed-forward neural network model with asymmetric synaptic connections, finite dilution and low pattern activity are studied in extension of a recent work on a recurrent network. Detailed phase diagrams are obtained for the stationary states and for the time evolution of the retrieval overlap with a single pattern. It is shown that in spite of instabilities for low thresholds there is a gradual improvement in network performance with increasing threshold up to an optimal stage. The robustness to synaptic noise is checked and the effects of dilution and of variable threshold on the information content of the network are also established.

Keywords: Layered neural networks; Dynamics; Mutual information (search for similar items in EconPapers)
Date: 2004
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:341:y:2004:i:c:p:262-272

DOI: 10.1016/j.physa.2004.04.130

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