Wasserstein statistics in one-dimensional location-scale models

DOI10.1007/978-3-030-80209-7_54OpenAlexW3184377348MaRDI QIDQ2117890

Takeru Matsuda, Shun-ichi Amari

Publication date: 22 March 2022

Full work available at URL: https://doi.org/10.1007/978-3-030-80209-7_54

zbMATH Keywords

information geometryWasserstein distanceoptimal transportlocation-scale model

Mathematics Subject Classification ID

Statistics (62-XX) Differential geometry (53-XX)

Related Items (1)

Wasserstein statistics in one-dimensional location-scale models

Uses Software

• Wasserstein GAN

Cites Work

• 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
• Ricci curvature for parametric statistics via optimal transport
• Wasserstein statistics in one-dimensional location-scale models
• Predictive density estimation under the Wasserstein loss
• Optimal transport for applied mathematicians. Calculus of variations, PDEs, and modeling
• On minimum Kantorovich distance estimators
• Asymptotic Statistics
• Information Geometry for Regularized Optimal Transport and Barycenters of Patterns
• Approximate Bayesian Computation with the Wasserstein Distance
• Optimal Transport

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