Overlap synchronisation in multipartite random energy models

Abstract

In a multipartite random energy model, made of a number of coupled GREMs, we determine the joint law of the overlaps in terms of the ones of the single GREMs. This provides the simplest example of the so-called overlap synchronisation.

arXiv comment6 pages

References in corpus (5)

• Mean-field message-passing equations in the Hopfield model and its generalizations
• The free energy in a multi-species Sherrington-Kirkpatrick model
• Phase transitions in Restricted Boltzmann Machines with generic priors
• On a nonhierarchical version of the generalized random energy model
• On Small Perturbations of a Spin Glass System

Cited by in corpus (4)

• Non-Convex Multi-species Hopfield models
• Hopfield model with planted patterns: a teacher-student self-supervised learning model
• Modeling Structured Data Learning with Restricted Boltzmann Machines in the Teacher-Student Setting
• Finite size corrections to the Parisi overlap function in the GREM