Transactions of the Institute of Systems, Control and Information Engineers
Online ISSN : 2185-811X
Print ISSN : 1342-5668
ISSN-L : 1342-5668
The Effect of Synaptic Disconnection on the Performance of Hopfield Associative Memories
Mehdi NOURI SHIRAZIMahdad NOURI SHIRAZISadao MAEKAWA
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1994 Volume 7 Issue 1 Pages 26-31

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Abstract

Hopfield associative memories (HAMs) consisting of n (-1, +1) -binary neurons are considered. Each synaptic connection is assumed to be disconnected with probability q. Using the Galambos Poison limit theorem of order statistics, it is shown rigorously that HAMs with up to n2q randomly scattered synaptic disconnections have, with high probability, region of attractions of size ρnn-error-correction capability) provided that they are not loaded with more than (1-2ρ) 2 (1-q) n/2log (1-q) n2 encoded patterns.

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