A diluted version of the perceptron model

Details A diluted version of the perceptron model A diluted version of the perceptron model

2006-03-07

arxiv.org/abs/math/0603162v1

Mathematics

Probability

39 pages

Scientific paper

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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