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Dynamic message-passing approach for kinetic spin models with reversible dynamics
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A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä
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Authors
Del Ferraro, Gino
Aurell, Erik
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en
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Physical Review E, Volume 92, issue 1, pp. 1-7
Abstract
A method to approximately close the dynamic cavity equations for synchronous reversible dynamics on a locally treelike topology is presented. The method builds on (a) a graph expansion to eliminate loops from the normalizations of each step in the dynamics and (b) an assumption that a set of auxilary probability distributions on histories of pairs of spins mainly have dependencies that are local in time. The closure is then effectuated by projecting these probability distributions on n-step Markov processes. The method is shown in detail on the level of ordinary Markov processes (n=1) and outlined for higher-order approximations (n>1). Numerical validations of the technique are provided for the reconstruction of the transient and equilibrium dynamics of the kinetic Ising model on a random graph with arbitrary connectivity symmetry.
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VK: Orponen, P.; COIN
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Del Ferraro, G & Aurell, E 2015, 'Dynamic message-passing approach for kinetic spin models with reversible dynamics', Physical Review E, vol. 92, no. 1, 010102, pp. 1-7. https://doi.org/10.1103/PhysRevE.92.010102