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Results 1 - 10
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87,101
OF THE CLUSTER VARIATION METHOD
, 1992
"... The half filled Hubbard model is studied in the pair approximation of the Cluster Variation Method. The use of the SO(4) symmetry of the model makes possible to give a complete analytical characterization of the ground state, by means of explicit expressions for the double occupancy and the nearest ..."
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The half filled Hubbard model is studied in the pair approximation of the Cluster Variation Method. The use of the SO(4) symmetry of the model makes possible to give a complete analytical characterization of the ground state, by means of explicit expressions for the double occupancy and the nearest
Novel iteration schemes for the Cluster Variation Method
- Advances in Neural Information Processing Systems 14
, 2001
"... The Cluster Variation method is a class of approximation methods containing the Bethe and Kikuchi approximations as special cases. We derive two novel iteration schemes for the Cluster Variation Method. One is a fixed point iteration scheme which gives a significant improvement over loopy BP, mean f ..."
Abstract
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Cited by 22 (2 self)
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The Cluster Variation method is a class of approximation methods containing the Bethe and Kikuchi approximations as special cases. We derive two novel iteration schemes for the Cluster Variation Method. One is a fixed point iteration scheme which gives a significant improvement over loopy BP, mean
Application of Cluster Variation Method to Genetic Linkage Analysis
"... In this paper we discuss the application of the Cluster Variation Method to the problem of genetic linkage analysis. The objective of genetic linkage analysis is to link an observed affection status (phenotype) of all individuals in a pedigree to the inheritance pattern observed certain locations on ..."
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In this paper we discuss the application of the Cluster Variation Method to the problem of genetic linkage analysis. The objective of genetic linkage analysis is to link an observed affection status (phenotype) of all individuals in a pedigree to the inheritance pattern observed certain locations
The Cluster Variation Method For Approximate Reasoning In Medical Diagnosis
- In Modeling Bio-medical signals
, 2002
"... this paper, we discuss the rule based and probabilistic approaches to computer aided medical diagnosis. We conclude that the probabilistic approach is superior to the rule based approach, but due to its intractability, it requires approximations for large scale applications. Subsequently, we revi ..."
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Cited by 3 (1 self)
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review the Cluster Variation Method and derive a message passing scheme that is ecient for large directed and undirected graphical models. When the method converges, it gives close to optimal results
Correlation functions by Cluster Variation Method for Ising
, 1998
"... We consider the procedure for calculating the pair correlation function in the context of the Cluster Variation Methods. As specific cases, we study the pair correlation function in the paramagnetic phase of the Ising model with nearest neighbors, next to the nearest neighbors and plaquette interact ..."
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We consider the procedure for calculating the pair correlation function in the context of the Cluster Variation Methods. As specific cases, we study the pair correlation function in the paramagnetic phase of the Ising model with nearest neighbors, next to the nearest neighbors and plaquette
Continuous Displacement Cluster Variation Method in Fourier Space * 1
, 2002
"... The diffuse scattering spectra originated from both short range order and local atomic displacements for a binary alloy in a two dimensional square lattice are calculated within the realm of Continuous Displacement Cluster Variation Method (CDCVM). The key ingredient of the present scheme is to reg ..."
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The diffuse scattering spectra originated from both short range order and local atomic displacements for a binary alloy in a two dimensional square lattice are calculated within the realm of Continuous Displacement Cluster Variation Method (CDCVM). The key ingredient of the present scheme
An Approximation Scheme of the Cluster Variation Method for Quantum Lattice Gases
, 1994
"... A new scheme of approximations is proposed in the "cluster variation method", by which we can discuss the properties of quantum lattice gases which have interactions, near zero temperature as well as at high temperatures, including the transition temperature. The site and the pair approxim ..."
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A new scheme of approximations is proposed in the "cluster variation method", by which we can discuss the properties of quantum lattice gases which have interactions, near zero temperature as well as at high temperatures, including the transition temperature. The site and the pair
TOPICAL REVIEW Cluster Variation Method in Statistical Physics and Probabilistic Graphical Models
, 2005
"... The cluster variation method (CVM) is a hierarchy of approximate variational techniques for discrete (Ising–like) models in equilibrium statistical mechanics, improving on the mean–field approximation and the Bethe–Peierls approximation, which can be regarded as the lowest level of the CVM. In recen ..."
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The cluster variation method (CVM) is a hierarchy of approximate variational techniques for discrete (Ising–like) models in equilibrium statistical mechanics, improving on the mean–field approximation and the Bethe–Peierls approximation, which can be regarded as the lowest level of the CVM
Approximation Scheme for Information Ising Model with S = 1 by Cluster Variation Method
"... When we consider application of Ising models to some problems for information processing, we have a random Ising model with S = 1. For example, in some problems of the statistical inference, we have ”yes ” or ”no ” for the answer to a question but there also exists a case in which we can not reply t ..."
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, namely, a mean field approximation and a Bethe approximation for the random Ising model with S = 1 by using correlation functions within the framework of the cluster variation method.
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