Loop calculus in statistical physics and information science
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Publication:2903729
DOI10.1103/PhysRevE.73.065102zbMath1244.82058arXivcond-mat/0601487WikidataQ80104685 ScholiaQ80104685MaRDI QIDQ2903729
Vladimir Y. Chernyak, Michael Chertkov
Publication date: 12 August 2012
Published in: Physical Review E (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/cond-mat/0601487
Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Information theory (general) (94A15)
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Belief propagation and loop series on planar graphs ⋮ Loop series for discrete statistical models on graphs ⋮ Evaluations of Tutte polynomials of regular graphs ⋮ Counting degree-constrained subgraphs and orientations ⋮ Random cluster model on regular graphs ⋮ Anomalous finite size corrections in random field models ⋮ Random field Ising model in two dimensions: Bethe approximation, cluster variational method and message passing algorithms ⋮ Loop expansion around the Bethe approximation through theM-layer construction ⋮ New Graph Polynomials from the Bethe Approximation of the Ising Partition Function ⋮ Fermions and loops on graphs: I. Loop calculus for determinants ⋮ Fermions and loops on graphs: II. A monomer–dimer model as a series of determinants ⋮ Gauging variational inference ⋮ Gauges, loops, and polynomials for partition functions of graphical models ⋮ On forest expansions for two-body partition functions on tree-like interaction graphs
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