Asymptotic behavior of the magnetization for the perceptron model
Résumé
In this paper, we show that, in case of a perceptron model for which the number of outputs is a small proportion of the size of the system, the limiting behavior of the magnetization of a given spin, namely the random variable $\langle\si_k\rangle$, can be identified. In fact, we prove a $L^2$ convergence for a collection of those random variables.
Domaines
Probabilités [math.PR]
Origine : Fichiers produits par l'(les) auteur(s)
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