On a nonhierarchical generalization of the Perceptron GREM

Nicola Kistler and Giulia Sebastiani

Stochastic Processes and their Applications, 2023, vol. 163, issue C, 1-24

Abstract: We introduce a nonlinear, nonhierarchical generalization of Derrida’s GREM and establish through a Sanov-type large deviation analysis both a Boltzmann–Gibbs principle as well as a Parisi formula for the limiting free energy. In line with the predictions of the Parisi theory, the free energy is given by the minimal value over all Parisi functionals/hierarchical structures in which the original model can be coarse grained.

Keywords: Mean field spin glasses; Large deviations; Gibbs–Boltzmann and Parisi variational principles (search for similar items in EconPapers)
Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:eee:spapps:v:163:y:2023:i:c:p:1-24

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DOI: 10.1016/j.spa.2023.05.008

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