Nonexistence of Optimal Transport Maps for the Multimarginal Repulsive Harmonic Cost
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Publication:5231311
DOI10.1137/18M1186514zbMath1431.49054arXiv1805.00417OpenAlexW2963057295WikidataQ109997953 ScholiaQ109997953MaRDI QIDQ5231311
Augusto Gerolin, Anna Kausamo, Tapio Rajala
Publication date: 26 August 2019
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1805.00417
multimarginal optimal transportattractive harmonic costmultimarginal Monge-Kantorovich problemrepulsive harmonic cost
Related Items (6)
The GenCol Algorithm for High-Dimensional Optimal Transport: General Formulation and Application to Barycenters and Wasserstein Splines ⋮ Duality theory for multi-marginal optimal transport with repulsive costs in metric spaces ⋮ Geometry of Kantorovich polytopes and support of optimizers for repulsive multi-marginal optimal transport on finite state spaces ⋮ Continuity of Multimarginal Optimal Transport with Repulsive Cost ⋮ A Simple Counterexample to the Monge Ansatz in Multimarginal Optimal Transport, Convex Geometry of the Set of Kantorovich Plans, and the Frenkel--Kontorova Model ⋮ Multi-Marginal Optimal Transportation Problem for Cyclic Costs
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