Optimal transport for data assimilation

Nelson Feyeux 1 Arthur Vidard 1 Maëlle Nodet 1
1 AIRSEA - Mathematics and computing applied to oceanic and atmospheric flows
Grenoble INP - Institut polytechnique de Grenoble - Grenoble Institute of Technology, UGA - Université Grenoble Alpes, LJK - Laboratoire Jean Kuntzmann, Inria Grenoble - Rhône-Alpes
Abstract : Applying optimal transport to data assimilation can be natural in the case where data are images for example. Indeed, optimal transport theory introduces the so-called Wasserstein distance which can be useful to compare images, and it may be more natural than using classical euclidean distances. The interesting points, as well as the methodology, the technical difficulties and some results of applying optimal transport to data assimilation are presented here.
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Submitted on : Tuesday, January 12, 2016 - 9:31:08 AM
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Nelson Feyeux, Arthur Vidard, Maëlle Nodet. Optimal transport for data assimilation. Workshop transport optimal : théorie et applications, Oct 2015, Bordeaux, France. ⟨hal-01251809⟩

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