Abstract
Hopfield associative memories with alphan malfunctioning neurons are considered. Using some facts from exchangeable events theory, the asymptotic storage capacity of such a network is derived as a function of the parameter alpha under stability and attractivity requirements. It is shown that the asymptotic storage capacity is (1-alpha)(2)/n(4 log n) under stability and (1-alpha)(2)(1-2rho)(2)n/(4 log n) under attractivity requirements, respectively. Comparing these capacities with their maximum values corresponding to the case when there is no malfunctioning neurons, alpha=0, shows the robustness of the retrieval mechanism of Hopfield associative memories with respect to the existence of malfunctioning neurons. This result also supports the claim that neural networks are fault tolerant.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
