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Mathematical and Computational Aspects of Machine Learning

The solution of a multiscale SK model

speaker: Emanuele Mingione (Dipartimento di Matematica, Università di Bologna)

abstract: We consider a mean field spin system with random interaction in a multiscale thermal equilbrium, namely when the thermodynamic equilibrium is reached through successive hierarchical thermalization. This model apperead in physical literature un the 90's as a possible framework describing thermodynamic properties of systems out of standard Gibbs equilibrium. We show how to construct a variational problem that gives a representation of the thermodynamic limit of the pressure density (generating functional). We present the main ideas behind the proof and discuss possible applications of the result.

Wed 9 Oct, 18:40 - 19:00, Aula Dini
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