Deprecated: $wgMWOAuthSharedUserIDs=false is deprecated, set $wgMWOAuthSharedUserIDs=true, $wgMWOAuthSharedUserSource='local' instead [Called from MediaWiki\HookContainer\HookContainer::run in /var/www/html/w/includes/HookContainer/HookContainer.php at line 135] in /var/www/html/w/includes/Debug/MWDebug.php on line 372
The swapping algorithm for the Hopfield model with two patterns - MaRDI portal

The swapping algorithm for the Hopfield model with two patterns (Q734648)

From MaRDI portal





scientific article; zbMATH DE number 5614625
Language Label Description Also known as
English
The swapping algorithm for the Hopfield model with two patterns
scientific article; zbMATH DE number 5614625

    Statements

    The swapping algorithm for the Hopfield model with two patterns (English)
    0 references
    0 references
    0 references
    13 October 2009
    0 references
    The swapping algorithm based on Metropolis - Hastings chain is introduced. The aim is to analyze the speed of convergence. The main result of the paper is that the swapping algorithm is rapidly mixing for a Hopfield network with two independent identical patterns. Some bounds for the spectral gap of the corresponding Markov chain are proved.
    0 references
    swapping algorithm
    0 references
    Metropolis algorithm
    0 references
    Hopfield model
    0 references
    Markov chain Monte Carlo method
    0 references
    spin glasses
    0 references

    Identifiers