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Constructing Free Energy Approximations and Generalized Belief Propagation Algorithms

by Jonathan S. Yedidia, William T. Freeman, Yair Weiss - IEEE Transactions on Information Theory , 2005
"... Important inference problems in statistical physics, computer vision, error-correcting coding theory, and artificial intelligence can all be reformulated as the computation of marginal probabilities on factor graphs. The belief propagation (BP) algorithm is an efficient way to solve these problems t ..."
Abstract - Cited by 585 (13 self) - Add to MetaCart
that is exact when the factor graph is a tree, but only approximate when the factor graph has cycles. We show that BP fixed points correspond to the stationary points of the Bethe approximation of the free energy for a factor graph. We explain how to obtain regionbased free energy approximations that improve

Automated docking using a Lamarckian genetic algorithm and an empirical binding free energy function

by Garrett M. Morris, David S. Goodsell, Robert S. Halliday, Ruth Huey, William E. Hart, Richard K. Belew, Arthur J. Olson - J. Comput. Chem , 1998
"... ABSTRACT: A novel and robust automated docking method that predicts the bound conformations of flexible ligands to macromolecular targets has been developed and tested, in combination with a new scoring function that estimates the free energy change upon binding. Interestingly, this method applies a ..."
Abstract - Cited by 380 (4 self) - Add to MetaCart
ABSTRACT: A novel and robust automated docking method that predicts the bound conformations of flexible ligands to macromolecular targets has been developed and tested, in combination with a new scoring function that estimates the free energy change upon binding. Interestingly, this method applies

A nonequilibrium equality for free energy differences

by C. Jarzynski , 2008
"... ..."
Abstract - Cited by 266 (0 self) - Add to MetaCart
Abstract not found

Exchange free-energy

by unknown authors
"... Non-interacting orbital-free free-energy ..."
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Non-interacting orbital-free free-energy

Free energy

by Hugo Touchette, Dynamical Systems, I Carnot, First Law, Q T ∆s, F E Ts , 2006
"... What is thermodynamics? Science of heat I how heat is transformed, stored, converted I how heat flows I science of heat engines (and fridges) I based on thermodynamics laws The actors: ..."
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What is thermodynamics? Science of heat I how heat is transformed, stored, converted I how heat flows I science of heat engines (and fridges) I based on thermodynamics laws The actors:

Fast Folding and Comparison of RNA Secondary Structures (The Vienna RNA Package)

by Ivo L. Hofacker, Walter Fontana, Peter F. Stadler, L. Sebastian Bonhoeffer, Manfred Tacker, Peter Schuster
"... Computer codes for computation and comparison of RNA secondary structures, the Vienna RNA package, are presented, that are based on dynamic programming algorithms and aim at predictions of structures with minimum free energies as well as at computations of the equilibrium partition functions and bas ..."
Abstract - Cited by 809 (117 self) - Add to MetaCart
Computer codes for computation and comparison of RNA secondary structures, the Vienna RNA package, are presented, that are based on dynamic programming algorithms and aim at predictions of structures with minimum free energies as well as at computations of the equilibrium partition functions

Convexifying the bethe free energy

by Ofer Meshi, Ariel Jaimovich, Amir Globerson, Nir Friedman - in Conference on Uncertainty in Artifical Intelligence (UAI , 2009
"... The introduction of loopy belief propagation (LBP) revitalized the application of graphical models in many domains. Many recent works present improvements on the basic LBP algorithm in an attempt to overcome convergence and local optima problems. Notable among these are convexified free energy appro ..."
Abstract - Cited by 17 (2 self) - Add to MetaCart
The introduction of loopy belief propagation (LBP) revitalized the application of graphical models in many domains. Many recent works present improvements on the basic LBP algorithm in an attempt to overcome convergence and local optima problems. Notable among these are convexified free energy

A View Of The Em Algorithm That Justifies Incremental, Sparse, And Other Variants

by Radford Neal, Geoffrey E. Hinton - Learning in Graphical Models , 1998
"... . The EM algorithm performs maximum likelihood estimation for data in which some variables are unobserved. We present a function that resembles negative free energy and show that the M step maximizes this function with respect to the model parameters and the E step maximizes it with respect to the d ..."
Abstract - Cited by 993 (18 self) - Add to MetaCart
. The EM algorithm performs maximum likelihood estimation for data in which some variables are unobserved. We present a function that resembles negative free energy and show that the M step maximizes this function with respect to the model parameters and the E step maximizes it with respect

The Free Energy Formula

by Yury M. Zinoviev , 1999
"... Abstract. The Onsager formula for the free energy of the two dimensional Ising model with periodic boundary conditions is proved. 1 ..."
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Abstract. The Onsager formula for the free energy of the two dimensional Ising model with periodic boundary conditions is proved. 1

Interface Free Energy *

by C.-E Pfister
"... "Interface free energy is the contribution to the free energy of a system due to the presence of an interface separating two coexisting phases at equilibrium". It is also called interfacial free energy or surface tension. The content of the article is 1) the definition of the interface fr ..."
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"Interface free energy is the contribution to the free energy of a system due to the presence of an interface separating two coexisting phases at equilibrium". It is also called interfacial free energy or surface tension. The content of the article is 1) the definition of the interface
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