80 citations · 645 across the 38 of their papers we have counts for
5 papers · 1 filter
On the phase diagram of the multiscale mean-field spin-glass
Francesco Camilli, Pierluigi Contucci, Emanuele Mingione +1
In this paper we study the phase diagram of a Sherrington-Kirkpatrick (SK) model where the couplings are forced to thermalize at different time scales. Besides being a challenging…
Neural Networks retrieving Boolean patterns in a sea of Gaussian ones
Elena Agliari, Adriano Barra, Chiara Longo +1
Restricted Boltzmann Machines are key tools in Machine Learning and are described by the energy function of bipartite spin-glasses. From a statistical mechanical perspective, they…
Non-Convex Multipartite Ferromagnets
Giuseppe Genovese, Daniele Tantari
We investigate a multipartite ferromagnetic model without self-interactions between spins of the same party, so that the Hamiltonian is not a definite quadratic form of the magneti…
Multi-species mean-field spin-glasses. Rigorous results
Adriano Barra, Pierluigi Contucci, Emanuele Mingione +1
We study a multi-species spin glass system where the density of each species is kept fixed at increasing volumes. The model reduces to the Sherrington-Kirkpatrick one for the singl…
A Solvable Mean Field Model of a Gaussian Spin Glass
Adriano Barra, Giuseppe Genovese, Francesco Guerra +1
We introduce a mean field spin glass model with gaussian distribuited spins and pairwise interactions, whose couplings are drawn randomly from a normal gaussian distribution too. W…