On the Wasserstein distance between mutually singular measures
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Publication:2174610
DOI10.1515/acv-2017-0036zbMath1446.49010OpenAlexW2767439835MaRDI QIDQ2174610
Maxime Laborde, Guillaume Carlier, Giusseppe Buttazzo
Publication date: 21 April 2020
Published in: Advances in Calculus of Variations (Search for Journal in Brave)
Full work available at URL: https://basepub.dauphine.fr/handle/123456789/16916
Probability measures on topological spaces (60B05) Numerical methods involving duality (49M29) Variational problems in a geometric measure-theoretic setting (49Q20) Methods involving semicontinuity and convergence; relaxation (49J45)
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Reweighting samples under covariate shift using a Wasserstein distance criterion ⋮ Existence and stability results for an isoperimetric problem with a non-local interaction of Wasserstein type ⋮ Minimizing optimal transport for functions with fixed-size nodal sets ⋮ The existence of minimizers for an isoperimetric problem with Wasserstein penalty term in unbounded domains ⋮ The five gradients inequality for non quadratic costs ⋮ Least Wasserstein distance between disjoint shapes with perimeter regularization
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