Mean Field Theory for Nonequilibrium Network Reconstruction

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Mean Field Theory for Nonequilibrium Network Reconstruction

Yasser Roudi and John Hertz

Phys. Rev. Lett. 106, 048702 – Published 27 January 2011

Abstract

There has been recent progress on inferring the structure of interactions in complex networks when they are in stationary states satisfying detailed balance, but little has been done for nonequilibrium systems. Here we introduce an approach to this problem, considering, as an example, the question of recovering the interactions in an asymmetrically coupled, synchronously updated Sherrington-Kirkpatrick model. We derive an exact iterative inversion algorithm and develop efficient approximations based on dynamical mean-field and Thouless-Anderson-Palmer equations that express the interactions in terms of equal-time and one-time-step-delayed correlation functions.

Received 29 September 2010

DOI:https://doi.org/10.1103/PhysRevLett.106.048702

Authors & Affiliations

Yasser Roudi¹ and John Hertz^1,2

¹NORDITA, 10691 Stockholm, Sweden
²The Niels Bohr Institute, 2100 Copenhagen, Denmark

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Issue

Vol. 106, Iss. 4 — 28 January 2011

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