39 citations · 159 across the 7 of their papers we have counts for
7 papers
Generalized mean field approximation for parallel dynamics of the Ising model
Hamed Mahmoudi, David Saad
The dynamics of non-equilibrium Ising model with parallel updates is investigated using a generalized mean field approximation that incorporates multiple two-site correlations at a…
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…
Three lemmas on the dynamic cavity method
Erik Aurell, Hamed Mahmoudi
We study the dynamic cavity method for dilute kinetic Ising models with synchronous update rules. For the parallel update rule we find for fully asymmetric models that the dynamic…
A message-passing scheme for non-equilibrium stationary states
Erik Aurell, Hamed Mahmoudi
We study stationary states in a diluted asymmetric (kinetic) Ising model. We apply the recently introduced dynamic cavity method to compute magnetizations of these stationary state…
Network inference using asynchronously updated kinetic Ising Model
Hong-Li Zeng, Erik Aurell, Mikko Alava +1
Network structures are reconstructed from dynamical data by respectively naive mean field (nMF) and Thouless-Anderson-Palmer (TAP) approximations. For TAP approximation, we use two…
Aligning graphs and finding substructures by a cavity approach
S. Bradde, A. Braunstein, H. Mahmoudi +3
We introduce a new distributed algorithm for aligning graphs or finding substructures within a given graph. It is based on the cavity method and is used to study the maximum-clique…