Hessian metric via transport information geometry

DOI10.1063/5.0012605zbMath1469.53025arXiv2003.10526OpenAlexW3134669147MaRDI QIDQ5859137

Wuchen Li

Publication date: 15 April 2021

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.10526

zbMATH Keywords

Fisher informationBoltzmann-Shannon entropyWasserstein-2 metricHessian Hamiltonian flow

Mathematics Subject Classification ID

Differential geometric aspects of statistical manifolds and information geometry (53B12) Information geometry (statistical aspects) (62B11)

Related Items (6)

Computational mean-field information dynamics associated with reaction-diffusion equations ⋮ Tracial smooth functions of non-commuting variables and the free Wasserstein manifold ⋮ Stein Variational Gradient Descent on Infinite-Dimensional Space and Applications to Statistical Inverse Problems ⋮ Geometric thermodynamics for the Fokker-Planck equation: stochastic thermodynamic links between information geometry and optimal transport ⋮ Controlling conservation laws. I: entropy-entropy flux ⋮ Transport information Hessian distances

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