144 citations · 1k across the 90 of their papers we have counts for
3 papers · 1 filter
Antiferromagnetic Potts model on the Erdos-Renyi random graph
Pierluigi Contucci, Sander Dommers, Cristian Giardina' +1
We study the antiferromagnetic Potts model on the Poissonian Erdös-Rényi random graph. By identifying a suitable interpolation structure and an extended variational principle, toge…
On the equivalence of Hopfield Networks and Boltzmann Machines
Adriano Barra, Alberto Bernacchia, Enrica Santucci +1
A specific type of neural network, the Restricted Boltzmann Machine (RBM), is implemented for classification and feature detection in machine learning. RBM is characterized by sepa…
Stability of the Spin Glass Phase under Perturbations
Pierluigi Contucci, Cristian Giardina', Claudio Giberti
We introduce and prove a novel linear response stability theory for spin glasses. The new stability under suitable perturbation of the equilibrium state implies the whole set of st…