Reconstructing discrete measures from projections. Consequences on the empirical sliced Wasserstein distance

DOI10.5802/crmath.601MaRDI QIDQ6633604

Eloi Tanguy, Julie Delon, Rémi Flamary

Publication date: 6 November 2024

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

zbMATH Keywords

inverse problemsreconstructiondiscrete measures

Mathematics Subject Classification ID

Inverse problems in linear algebra (15A29) Miscellaneous topics in measure theory (28E99)

Cites Work

• Title not available (Why is that?)
• Computational Optimal Transport: With Applications to Data Science
• Parametric families of multivariate distributions with given margins
• Probability distributions with given multivariate marginals and given dependence structure
• On multistochastic Monge-Kantorovich problem, bitwise operations, and fractals
• Sliced and Radon Wasserstein barycenters of measures
• On the determination of probability distributions of more dimensions by their projections
• On a construction of multivariate distributions given some multidimensional marginals
• Verteilungsfunktionen mit gegebenen Marginalverteilungen
• Some Theorems on Distribution Functions
• On projections of probability distributions
• Numerical solution of coupled 1D Burgers' equation by Non-Uniform Algebraic-Hyperbolic B-spline Differential Quadrature Method

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