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arXiv · 1011.5686

A quenched large deviation principle and a Parisi formula for a Perceptron version of the GREM

E. Bolthausen·N. Kistler
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Abstract

We introduce a perceptron version of the Generalized Random Energy Model, and prove a quenched Sanov type large deviation principle for the empirical distribution of the random energies. The dual of the rate function has a representation through a variational formula which is closely related to the Parisi variational formula for the SK-model.

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E. Bolthausen, N. Kistler. 2010-11-25. A quenched large deviation principle and a Parisi formula for a Perceptron version of the GREM. https://arxiv.org/abs/1011.5686

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