30 citations · 30 across the 1 of their papers we have counts for
4 papers
The multi-species mean-field spin-glass on the Nishimori line
Diego Alberici, Francesco Camilli, Pierluigi Contucci +1
In this paper we study a multi-species disordered model on the Nishimori line. The typical properties of this line, a set of identities and inequalities among correlation functions…
Annealing and replica-symmetry in Deep Boltzmann Machines
Diego Alberici, Adriano Barra, Pierluigi Contucci +1
In this paper we study the properties of the quenched pressure of a multi-layer spin-glass model (a deep Boltzmann Machine in artificial intelligence jargon) whose pairwise interac…
Equilibrium and Dynamics of a Multi-Bath Sherrington-Kirkpatrick Model
Pierluigi Contucci, Jorge Kurchan, Emanuele Mingione
In this paper we study the equilibrium statistical mechanical as well as the dynamical properties of a Sherrington and Kirkpatrick model in a multi-bath setting introduced in [4].…
A Multi-Scale Spin-Glass Mean-Field Model
Pierluigi Contucci, Emanuele Mingione
In this paper a multi-scale version of the Sherrington and Kirkpatrick model is introduced and studied. The pressure per particle in the thermodynamical limit is proved to obey a v…