Optimal transportation plans with escort entropy regularization

DOI10.1007/s41884-021-00058-2zbMath1493.62028OpenAlexW3213742899MaRDI QIDQ2154655

Takashi Kurose, Shintaro Yoshizawa, Shun-ichi Amari

Publication date: 20 July 2022

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

Full work available at URL: https://doi.org/10.1007/s41884-021-00058-2

zbMATH Keywords

Wasserstein geometrydeformed exponential familydually flat manifoldgeneralized entropy regularization

Mathematics Subject Classification ID

Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Differential geometric aspects of statistical manifolds and information geometry (53B12) Information geometry (statistical aspects) (62B11)

Related Items (1)

When optimal transport meets information geometry

Cites Work

• Unnamed Item
• Unnamed Item
• Computational Optimal Transport: With Applications to Data Science
• Information geometry and its applications
• Information geometry connecting Wasserstein distance and Kullback-Leibler divergence via the entropy-relaxed transportation problem
• Logarithmic divergences from optimal transport and Rényi geometry
• Rho-tau embedding and gauge freedom in information geometry
• Optimal transport for applied mathematicians. Calculus of variations, PDEs, and modeling
• Generalised Thermostatistics
• Introduction to Nonextensive Statistical Mechanics
• Information Geometry for Regularized Optimal Transport and Barycenters of Patterns
• A Smoothed Dual Approach for Variational Wasserstein Problems
• Information Geometry
• Optimal Transport

This page was built for publication: Optimal transportation plans with escort entropy regularization