Transport information Hessian distances

DOI10.1007/978-3-030-80209-7_87zbMath1485.94037arXiv2102.04413OpenAlexW3183492335MaRDI QIDQ2117950

Wuchen Li

Publication date: 22 March 2022

Full work available at URL: https://arxiv.org/abs/2102.04413

zbMATH Keywords

information geometryoptimal transportHessian distances

Mathematics Subject Classification ID

Exact distribution theory in statistics (62E15) Probability distributions: general theory (60E05) Measures of information, entropy (94A17) Optimal transportation (49Q22)

Cites Work

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• Computational Optimal Transport: With Applications to Data Science
• Optimal transport for seismic full waveform inversion
• Information geometry and its applications
• A computational fluid mechanics solution to the Monge-Kantorovich mass transfer problem
• Semi-invariant Riemannian metrics in hydrodynamics
• The Density Manifold and Configuration Space Quantization
• Divergence Function, Duality, and Convex Analysis
• Information Geometry
• Hessian metric via transport information geometry
• Optimal Transport

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