Publication: An almost sure central limit theorem for the overlap parameters in the Hopfield model
An almost sure central limit theorem for the overlap parameters in the Hopfield model
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Gentz, B. (1996). An almost sure central limit theorem for the overlap parameters in the Hopfield model. Stochastic Processes and Their Applications, 62, 243–262. https://doi.org/10.1016/0304-4149(96)00055-5
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We consider the Hopfield model with a finite number of randomly chosen patterns above and below the critical temperature and prove an almost sure conditional central limit theorem for the vector of overlap parameters. For this purpose we analyse the almost sure asymptotic behaviour of the partition function.
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- Gentz, B
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Gentz, B. (1996). An almost sure central limit theorem for the overlap parameters in the Hopfield model. Stochastic Processes and Their Applications, 62, 243–262. https://doi.org/10.1016/0304-4149(96)00055-5