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Hessian transport gradient flows (Q2336045)

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Language	Label	Description	Also known as
English	Hessian transport gradient flows	scientific article

Statements

scholarly article

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Hessian transport gradient flows (English)

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Research in the Mathematical Sciences

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publication date

18 November 2019

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full work available at URL

https://arxiv.org/abs/1905.04556

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zbMATH Keywords

optimal transport

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information/Hessian geometry

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Hessian transport

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Hessian transport stochastic differential equations

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generalized de Bruijn identity

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MaRDI profile type

MaRDI publication profile

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Information geometry and its applications

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Information geometry connecting Wasserstein distance and Kullback-Leibler divergence via the entropy-relaxed transportation problem

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ON CONVEX SOBOLEV INEQUALITIES AND THE RATE OF CONVERGENCE TO EQUILIBRIUM FOR FOKKER-PLANCK TYPE EQUATIONS

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Information Geometry

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Diffeomorphic Density Matching by Optimal Information Transport

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Semi-invariant Riemannian metrics in hydrodynamics

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Exponential decay of Rényi divergence under Fokker-Planck equations

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Nonlinear mobility continuity equations and generalized displacement convexity

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An interpolating distance between optimal transport and Fisher-Rao metrics

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Entropy dissipation of Fokker-Planck equations on graphs

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Information Theory and Statistics: A Tutorial

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A new class of transport distances between measures

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The Variational Formulation of the Fokker--Planck Equation

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The Density Manifold and Configuration Space Quantization

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Affine natural proximal learning

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Natural gradient via optimal transport

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Ricci curvature for parametric statistics via optimal transport

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Optimal entropy-transport problems and a new Hellinger-Kantorovich distance between positive measures

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Wasserstein proximal of GANs

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Asymmetry in crystal facet dynamics of homoepitaxy by a continuum model

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Scaling Limit of the Stein Variational Gradient Descent: The Mean Field Regime

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Wasserstein Riemannian geometry of Gaussian densities

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A unified formulation for the Bures-Wasserstein and log-Euclidean/log-Hilbert-Schmidt distances between positive definite operators

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THE GEOMETRY OF DISSIPATIVE EVOLUTION EQUATIONS: THE POROUS MEDIUM EQUATION

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Stochastic Processes and Applications

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Free Fisher information for non-tracial states.

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Possible generalization of Boltzmann-Gibbs statistics.

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Optimal Transport

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deBruijn identities: From Shannon, Kullback-Leibler and Fisher to generalized φ-entropies, φ-divergences and φ-Fisher informations

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Identifiers

zbMATH Open document ID

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10.1007/s40687-019-0198-9

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:2336045

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