11 citations · 11 across the 3 of their papers we have counts for
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Random Field Ising Model in two dimensions: Bethe approximation, Cluster Variational Method and message passing algorithms
Eduardo Dominguez, Alejandro Lage-Castellanos, Roberto Mulet
We study two free energy approximations (Bethe and plaquette-CVM) for the Random Field Ising Model in two dimensions. We compare results obtained by these two methods in single ins…
A cavity approach to optimization and inverse dynamical problems
Alejandro Lage-Castellanos, Andrey Y. Lokhov, Riccardo Zecchina
In these two lectures we shall discuss how the cavity approach can be used efficiently to study optimization problems with global (topological) constraints and how the same techniq…
Message passing and Monte Carlo algorithms: connecting fixed points with metastable states
A. Lage-Castellanos, R. Mulet, F. Ricci-Tersenghi
Mean field-like approximations (including naive mean field, Bethe and Kikuchi and more general Cluster Variational Methods) are known to stabilize ordered phases at temperatures hi…