30 citations · 30 across the 3 of their papers we have counts for
6 papers
The Invariant Measure of Multiscale Markov Chains via Fast Arborescence Factorization
Diego Alberici, Davide Gabrielli, Giulia Pallotta
We consider a family of continuous-time Markov chains with finite strongly connected transition graph and rates depending on a parameter , so that, when…
Ferromagnetic Ising Model on multiregular random graphs
Diego Alberici, Pierluigi Contucci, Emanuele Mingione +1
A family of multispecies Ising models on generalized regular random graphs is investigated in the thermodynamic limit. The architecture is specified by class-dependent couplings an…
The solution of the deep Boltzmann machine on the Nishimori line
Diego Alberici, Francesco Camilli, Pierluigi Contucci +1
The deep Boltzmann machine on the Nishimori line with a finite number of layers is exactly solved by a theorem that expresses its pressure through a finite dimensional variational…
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…
Finite-size corrections for the attractive mean-field monomer-dimer model
Diego Alberici, Pierluigi Contucci, Rachele Luzi +1
The finite volume correction for a mean-field monomer-dimer system with an attractive interaction are computed for the pressure density, the monomer density and the susceptibility.…