Mean Field Theory for Nonequilibrium Network Reconstruction

Yasser Roudi; John Hertz

Mean Field Theory for Nonequilibrium Network Reconstruction

87 Citationer (Scopus)

Abstract

There has been recent progress on the problem of inferring the structure of
interactions in complex networks when they are in stationary states satisfying
detailed balance, but little has been done for non-equilibrium 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 SK model. We derive an exact iterative inversion
algorithm and develop efficient approximations based on dynamical
mean-field and TAP equations that express the interactions in terms
of equal-time and one time step-delayed correlation functions.

Originalsprog	Engelsk
Tidsskrift	Physical Review Letters
Vol/bind	106
Udgave nummer	4
Sider (fra-til)	048701
Antal sider	4
ISSN	0031-9007
Status	Udgivet - 27 jan. 2011

Citationsformater

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title = "Mean Field Theory for Nonequilibrium Network Reconstruction",

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.",

author = "Yasser Roudi and John Hertz",

year = "2011",

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T1 - Mean Field Theory for Nonequilibrium Network Reconstruction

AU - Roudi, Yasser

AU - Hertz, John

PY - 2011/1/27

Y1 - 2011/1/27

N2 - 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.

AB - 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.

M3 - Journal article

SN - 0031-9007

VL - 106

SP - 048701

JO - Physical Review Letters

JF - Physical Review Letters

IS - 4

ER -

Mean Field Theory for Nonequilibrium Network Reconstruction

Abstract

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