The Experts below are selected from a list of 1341540 Experts worldwide ranked by ideXlab platform
Michael I. Jordan - One of the best experts on this subject based on the ideXlab platform.
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Mean field Theory for sigmoid belief networks
Journal of Artificial Intelligence Research, 1996Co-Authors: Lawrence K. Saul, Tommi S. Jaakkola, Michael I. JordanAbstract:We develop a mean field Theory for sigmoid belief networks based on ideas from statistical mechanics. Our mean field Theory provides a tractable approximation to the true probability distribution in these networks; it also yields a lower bound on the likelihood of evidence. We demonstrate the utility of this framework on a benchmark problem in statistical pattern recognition-the classification of handwritten digits.
I Jordanmichael - One of the best experts on this subject based on the ideXlab platform.
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Mean field Theory for sigmoid belief networks
Journal of Artificial Intelligence Research, 1996Co-Authors: K Saullawrence, Jaakkolatommi, I JordanmichaelAbstract:We develop a mean field Theory for sigmoid belief networks based on ideas from statistical mechanics. Our mean field Theory provides a tractable approximation to the true probability distribution i...
Lawrence K. Saul - One of the best experts on this subject based on the ideXlab platform.
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Mean field Theory for sigmoid belief networks
Journal of Artificial Intelligence Research, 1996Co-Authors: Lawrence K. Saul, Tommi S. Jaakkola, Michael I. JordanAbstract:We develop a mean field Theory for sigmoid belief networks based on ideas from statistical mechanics. Our mean field Theory provides a tractable approximation to the true probability distribution in these networks; it also yields a lower bound on the likelihood of evidence. We demonstrate the utility of this framework on a benchmark problem in statistical pattern recognition-the classification of handwritten digits.
Francesco Zamponi - One of the best experts on this subject based on the ideXlab platform.
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A microscopic Mean-Field Theory of the jamming transition
Physical Review Letters, 2011Co-Authors: Hugo Jacquin, Ludovic Berthier, Francesco ZamponiAbstract:Dense particle packings acquire rigidity through a nonequilibrium jamming transition commonly observed in materials from emulsions to sandpiles. We describe athermal packings and their observed geometric phase transitions using fully equilibrium statistical mechanics and develop a microscopic many-body Mean-Field Theory of the jamming transition for soft repulsive spherical particles. We derive analytically some of the scaling laws and exponents characterizing the transition and obtain predictions for microscopic correlation functions of jammed states that are amenable to experimental verifications, and whose accuracy we confirm using computer simulations.
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Mean field Theory of spin glasses.
arXiv: Statistical Mechanics, 2010Co-Authors: Francesco ZamponiAbstract:These lecture notes focus on the mean field Theory of spin glasses, with particular emphasis on the presence of a very large number of metastable states in these systems. This phenomenon, and some of its physical consequences, will be discussed in details for fully-connected models and for models defined on random lattices. This will be done using the replica and cavity methods. These notes have been prepared for a course of the PhD program in Statistical Mechanics at SISSA, Trieste and at the University of Rome "Sapienza". Part of the material is reprinted from other lecture notes, and when this is done a reference is obviously provided to the original.
Philipp Werner - One of the best experts on this subject based on the ideXlab platform.
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Nonequilibrium Dynamical Mean-Field Theory for Bosonic Lattice Models
Physical Review X, 2015Co-Authors: Hugo U. R. Strand, Martin Eckstein, Philipp WernerAbstract:We develop the nonequilibrium extension of bosonic dynamical Mean-Field Theory and a Nambu real-time strong-coupling perturbative impurity solver. In contrast to Gutzwiller Mean-Field Theory and strong-coupling perturbative approaches, nonequilibrium bosonic dynamical Mean-Field Theory captures not only dynamical transitions but also damping and thermalization effects at finite temperature. We apply the formalism to quenches in the Bose-Hubbard model, starting from both the normal and the Bosecondensed phases. Depending on the parameter regime, one observes qualitatively different dynamical properties, such as rapid thermalization, trapping in metastable superfluid or normal states, as well as long-lived or strongly damped amplitude oscillations. We summarize our results in nonequilibrium “phase diagrams” that map out the different dynamical regimes.
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dielectric breakdown of mott insulators in dynamical mean field Theory
Physical Review Letters, 2010Co-Authors: Martin Eckstein, Takashi Oka, Philipp WernerAbstract:Using nonequilibrium dynamical Mean-Field Theory, we compute the time evolution of the current in a Mott insulator after a strong electric field is turned on. We observe the formation of a quasistationary state in which the current is almost time independent although the system is constantly excited. At moderately strong fields this state is stable for quite long times. The stationary current exhibits a threshold behavior as a function of the field, in which the threshold increases with the Coulomb interaction and vanishes as the metal-insulator transition is approached.
