Generalized mean field approximation for parallel dynamics of the Ising model


The dynamics of the non-equilibrium Ising model with parallel updates is investigated using a generalized mean field approximation that incorporates multiple two-site correlations at any two time steps, which can be obtained recursively. The proposed method shows significant improvement in predicting local system properties compared to other mean field approximation techniques, particularly in systems with symmetric interactions. Results are also evaluated against those obtained from Monte Carlo simulations. The method is also employed to obtain parameter values for the kinetic inverse Ising modeling problem, where couplings and local field values of a fully connected spin system are inferred from data. © 2014 IOP Publishing Ltd and SISSA Medialab srl.

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Divisions: College of Engineering & Physical Sciences > Systems analytics research institute (SARI)
College of Engineering & Physical Sciences > School of Informatics and Digital Engineering > Mathematics
Additional Information: © IOP
Uncontrolled Keywords: cavity and replica method,disordered systems (theory),spin glasses (theory),Statistics and Probability,Statistical and Nonlinear Physics,Statistics, Probability and Uncertainty
Publication ISSN: 1742-5468
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Related URLs: http://www.scop ... tnerID=8YFLogxK (Scopus URL)
PURE Output Type: Article
Published Date: 2014-07
Authors: Mahmoudi, Hamed
Saad, David (ORCID Profile 0000-0001-9821-2623)



Version: Accepted Version

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