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A diluted version of the perceptron model. (English) Zbl 1206.82128

Summary: 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.

MSC:

82D30 Statistical mechanics of random media, disordered materials (including liquid crystals and spin glasses)
60G15 Gaussian processes
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References:

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