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arxiv: math/0603162 · v1 · submitted 2006-03-07 · 🧮 math.PR

A diluted version of the perceptron model

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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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