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Wasserstein interpolation with constraints and application to a parking problem

hal.structure.identifierDipartimento di Matematica [Pisa]
dc.contributor.authorButtazzo, Giuseppe
hal.structure.identifierCEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
dc.contributor.authorCarlier, Guillaume
hal.structure.identifierCEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
dc.contributor.authorEichinger, Katharina
dc.date.accessioned2023-01-11T13:32:40Z
dc.date.available2023-01-11T13:32:40Z
dc.date.issued2022
dc.identifier.urihttps://basepub.dauphine.psl.eu/handle/123456789/23682
dc.language.isoenen
dc.subjectoptimal transporten
dc.subjectWasserstein distanceen
dc.subjectmeasure interpolationen
dc.subjectoptimal parking regionsen
dc.subject.ddc510en
dc.titleWasserstein interpolation with constraints and application to a parking problemen
dc.typeDocument de travail / Working paper
dc.description.abstractenWe consider optimal transport problems where the cost for transporting a given probability measure μ0 to another one μ1 consists of two parts: the first one measures the transportation from μ0 to an intermediate (pivot) measure μ to be determined (and subject to various constraints), and the second one measures the transportation from μ to μ1. This leads to Wasserstein interpolation problems under constraints for which we establish various properties of the optimal pivot measures μ. Considering the more general situation where only some part of the mass uses the intermediate stop leads to a mathematical model for the optimal location of a parking region around a city. Numerical simulations, based on entropic regularization, are presented both for the optimal parking regions and for Wasserstein constrained interpolation problems.en
dc.publisher.cityParisen
dc.identifier.citationpages30en
dc.relation.ispartofseriestitleCahier de recherche CEREMADE, Université Paris Dauphine-PSLen
dc.subject.ddclabelMathématiquesen
dc.identifier.citationdate2022
dc.description.ssrncandidatenon
dc.description.halcandidatenonen
dc.description.readershiprechercheen
dc.description.audienceInternationalen
dc.date.updated2023-01-11T13:28:41Z
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