On the convergence of kikuchi's natural iteration method

DOI10.1007/s10955-005-4426-xzbMath1170.82316arXivcond-mat/0404654OpenAlexW1968352210MaRDI QIDQ2570824

Marco Pretti

Publication date: 28 October 2005

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/cond-mat/0404654

zbMATH Keywords

constrained optimizationstatistical inferenceCluster variation methodnatural iteration method

Mathematics Subject Classification ID

Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items (2)

Generalized belief propagation for the magnetization of the simple cubic Ising model ⋮ A general method of solution for the cluster variation method in ionic solids, with application to diffusionless transitions in yttria-stabilized zirconia

Cites Work

• A note on cactus trees: variational vs. recursive approach
• A note on the cluster variation method.
• CCCP Algorithms to Minimize the Bethe and Kikuchi Free Energies: Convergent Alternatives to Belief Propagation
• Stable propagation algorithm for the minimization of the Bethe free energy
• Factor graphs and the sum-product algorithm
• Probabilistic image processing by means of the Bethe approximation for theQ-Ising model
• A Theory of Cooperative Phenomena

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