Transport information geometry: Riemannian calculus on probability simplex

DOI10.1007/s41884-021-00059-1zbMath1493.49047arXiv1803.06360OpenAlexW3212574796WikidataQ115371023 ScholiaQ115371023MaRDI QIDQ2154659

Wuchen Li

Publication date: 20 July 2022

Published in: Information Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1803.06360

zbMATH Keywords

graphinformation geometryoptimal transportlinear weighted Laplacianprobability manifold

Mathematics Subject Classification ID

Transportation, logistics and supply chain management (90B06) Information theory (general) (94A15) Optimal transportation (49Q22)

Related Items (5)

When optimal transport meets information geometry ⋮ Tracial smooth functions of non-commuting variables and the free Wasserstein manifold ⋮ Exponential entropy dissipation for weakly self-consistent Vlasov-Fokker-Planck equations ⋮ Geometric thermodynamics for the Fokker-Planck equation: stochastic thermodynamic links between information geometry and optimal transport ⋮ Wasserstein information matrix

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