20 citations · 75 across the 10 of their papers we have counts for
10 papers
Efficient inference in the transverse field Ising model
E. Domínguez, H. J. Kappen
In this paper we introduce an approximate method to solve the quantum cavity equations for transverse field Ising models. The method relies on a projective approximation of the exa…
The Quantum Cluster Variational Method and the Phase Diagram of the quantum ferromagnetic - model
Eduardo Dominguez, Roberto Mulet, Carlos Lopetegui
We exploit the Quantum Cluster Variational Method (QCVM) to study the - model for quantum Ising spins. We first describe the QCVM and discuss how it is related to other M…
The Cavity Master Equation: average and fixed point of the ferromagnetic model in random graphs
E. Domínguez, D. Machado, R. Mulet
The Cavity Master Equation (CME) is a closure scheme to the usual Master Equation representing the dynamics of discrete variables in continuous time. In this work we explore the CM…
A theory of non-equilibrium local search on random satisfaction problems
Erik Aurell, Eduardo Domínguez, David Machado +1
We study local search algorithms to solve instances of the random -satisfiabi lity problem, equivalent to finding (if they exist) zero-energy ground states of statistical models…
Exploring the diluted ferromagnetic p-spin model with a Cavity Master Equation
Erik Aurell, Eduardo Domínguez, David Machado +1
We introduce a new solution to Glauber multi-spin dynamics on random graphs. The solution is based on the recently introduced Cavity Master Equation (CME), a time-closure turning t…
Quantum Cluster Variational Method and Message Passing Algorithms Revisited
Eduardo Dominguez, Roberto Mulet
We present a general framework to study quantum disordered systems in the context of the Kikuchi's Cluster Variational Method (CVM). The method relies in the solution of message pa…
Gauge-free cluster variational method by maximal messages and moment matching
Eduardo Dominguez, Alejandro Lage-Castellanos, Roberto Mulet +1
We present a new implementation of the Cluster Variational Method (CVM) as a message passing algorithm. The kind of message passing algorithms used for CVM, usually named Generaliz…
A Cavity Master Equation for the continuous time dynamics of discrete spins models
Erik Aurell, Gino Del Ferraro, Eduardo Dominguez +1
We present a new method to close the Master Equation representing the continuous time dynamics of Ising interacting spins. The method makes use of the the theory of Random Point Pr…
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…
Characterizing and Improving Generalized Belief Propagation Algorithms on the 2D Edwards-Anderson Model
E. Dominguez, A. Lage-Castellanos, R. Mulet +2
We study the performance of different message passing algorithms in the two dimensional Edwards Anderson model. We show that the standard Belief Propagation (BP) algorithm converge…