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

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.

Mots clés: Optimal transport; data assimilation; inverse problem

Domaines: Optimisation et contrôle [math.OC]

Nelson Feyeux, Arthur Vidard, Maëlle Nodet. Optimal transport for data assimilation. Workshop transport optimal : théorie et applications, Oct 2015, Bordeaux, France. ⟨hal-01251809⟩