Logarithmic divergences: geometry and interpretation of curvature

DOI10.1007/978-3-030-26980-7_43zbMath1458.53029arXiv1906.09103OpenAlexW2969514515MaRDI QIDQ2305251

Ting-Kam Leonard Wong, Jiaowen Yang

Publication date: 10 March 2020

Full work available at URL: https://arxiv.org/abs/1906.09103

zbMATH Keywords

affine immersionconstant sectional curvatureBregman divergenceoptimal transportlogarithmic divergenceconformal divergence

Mathematics Subject Classification ID

Variational problems in a geometric measure-theoretic setting (49Q20) Statistical aspects of information-theoretic topics (62B10) Methods of local Riemannian geometry (53B21) Information geometry (statistical aspects) (62B11)

Related Items (6)

Pseudo-Riemannian geometry encodes information geometry in optimal transport ⋮ Hierarchy of deformations in concavity ⋮ Conformal mirror descent with logarithmic divergences ⋮ A certain ODE-system defining the geometric divergence ⋮ Legendre duality: from thermodynamics to information geometry ⋮ Projections with logarithmic divergences

This page was built for publication: Logarithmic divergences: geometry and interpretation of curvature