Mean Field Theory for Nonequilibrium Network Reconstruction
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Mean Field Theory for Nonequilibrium Network Reconstruction. / Roudi, Yasser; Hertz, John.
I: Physical Review Letters, Bind 106, Nr. 4, 28.01.2011, s. 048701.Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt
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TY - JOUR
T1 - Mean Field Theory for Nonequilibrium Network Reconstruction
AU - Roudi, Yasser
AU - Hertz, John
PY - 2011/1/28
Y1 - 2011/1/28
N2 - 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.
AB - 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.
M3 - Journal article
VL - 106
SP - 048701
JO - Physical Review Letters
JF - Physical Review Letters
SN - 0031-9007
IS - 4
ER -
ID: 37388265