30 citations · 30 across the 1 of their papers we have counts for
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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…
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…