Articles with "geometric variational" as a keyword



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The spectrum of the torus profile to a geometric variational problem with long range interaction

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Published in 2017 at "Physica D: Nonlinear Phenomena"

DOI: 10.1016/j.physd.2017.01.001

Abstract: Abstract The profile problem for the Ohta–Kawasaki diblock copolymer theory is a geometric variational problem. The energy functional is defined on sets in R 3 of prescribed volume and the energy of an admissible set… read more here.

Keywords: profile; variational problem; geometric variational; torus profile ... See more keywords
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A Geometric Variational Approach to Bayesian Inference

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Published in 2020 at "Journal of the American Statistical Association"

DOI: 10.1080/01621459.2019.1585253

Abstract: Abstract We propose a novel Riemannian geometric framework for variational inference in Bayesian models based on the nonparametric Fisher–Rao metric on the manifold of probability density functions. Under the square-root density representation, the manifold can… read more here.

Keywords: bayesian inference; geometric variational; geometry; variational approach ... See more keywords