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.
@article{arxiv.math/0603162,
title = {A diluted version of the perceptron model},
author = {David Marquez-Carreras and Carles Rovira and Samy Tindel},
journal= {arXiv preprint arXiv:math/0603162},
year = {2007}
}