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

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scientific article; zbMATH DE number 5614625
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The swapping algorithm for the Hopfield model with two patterns
scientific article; zbMATH DE number 5614625

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    The swapping algorithm for the Hopfield model with two patterns (English)
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    13 October 2009
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    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.
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    swapping algorithm
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    Metropolis algorithm
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    Hopfield model
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    Markov chain Monte Carlo method
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    spin glasses
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