A diluted version of the perceptron model

David Marquez-Carreras; Carles Rovira; Samy Tindel

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A diluted version of the perceptron model

David Marquez-Carreras·Carles Rovira·Samy Tindel

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Abstract

This note is concerned with a diluted version of the perceptron model. We establish a replica symmetric formula at high temperature, which is achieved by studying the asymptotic behavior of a given spin magnetization. Our main task will be to identify the order parameter of the system.

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David Marquez-Carreras, Carles Rovira, Samy Tindel. 2006-03-07. A diluted version of the perceptron model. https://arxiv.org/abs/math/0603162

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