On rates of convergence for the overlap in the Hopfield model

Peter Eichelsbacher; Bastian Martschink

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arXiv · 1303.5252

On rates of convergence for the overlap in the Hopfield model

Peter Eichelsbacher·Bastian Martschink

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Abstract

We consider the Hopfield model with $n$ neurons and an increasing number $p=p(n)$ of randomly chosen patterns and use Stein's method to obtain rates of convergence for the central limit theorem of overlap parameters, which holds for every fixed choice of the overlap parameter for almost all realisations of the random patterns.

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Peter Eichelsbacher, Bastian Martschink. 2013-03-21. On rates of convergence for the overlap in the Hopfield model. https://arxiv.org/abs/1303.5252

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