751 citations · 3.2k across the 102 of their papers we have counts for
12 papers · 1 filter
The mighty force: statistical inference and high-dimensional statistics
Erik Aurell, Jean Barbier, Aurelien Decelle +1
This is a review to appear as a contribution to the edited volume "Spin Glass Theory & Far Beyond - Replica Symmetry Breaking after 40 Years", World Scientific. It showcases a sele…
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…
On one-step replica symmetry breaking in the Edwards-Anderson spin glass model
Gino Del Ferraro, Chuang Wang, Hai-Jun Zhou +1
We consider a one-step replica symmetry breaking description of the Edwards-Anderson spin glass model in 2D. The ingredients of this description are a Kikuchi approximation to the…
Dynamic message-passing approach for kinetic spin models with reversible dynamics
Gino Del Ferraro, Erik Aurell
A method to approximately close the dynamic cavity equations for synchronous reversible dynamics on a locally tree-like topology is presented. The method builds on a graph ex…
Dynamic mean-field and cavity methods for diluted Ising systems
Erik Aurell, Hamed Mahmoudi
We compare dynamic mean-field and dynamic cavity as methods to describe the stationary states of dilute kinetic Ising models. We compute dynamic mean-field theory by expanding in i…