Journal cover Journal topic
Nonlinear Processes in Geophysics An interactive open-access journal of the European Geosciences Union

Journal metrics

  • IF value: 1.329 IF 1.329
  • IF 5-year<br/> value: 1.394 IF 5-year
  • CiteScore<br/> value: 1.27 CiteScore
  • SNIP value: 0.903 SNIP 0.903
  • SJR value: 0.709 SJR 0.709
  • IPP value: 1.455 IPP 1.455
  • h5-index value: 20 h5-index 20
© Author(s) 2017. This work is distributed under
the Creative Commons Attribution 4.0 License.
Research article
07 Aug 2017
Review status
This discussion paper is a preprint. A revision of the manuscript is under review for the journal Nonlinear Processes in Geophysics (NPG).
Optimal Transport for Variational Data Assimilation
Nelson Feyeux, Arthur Vidard, and Maëlle Nodet Univ. Grenoble Alpes, Inria, CNRS, Grenoble INP, LJK, 38000 Grenoble, France
Abstract. Variational data assimilation methods are designed to estimate an unknown initial condition of a model using observations. To do so, one needs to compare model outputs and observations. This is generally performed using Euclidean distances. This paper investigates another distance choice: the Wasserstein distance, stemming from optimal transport theory. We develop a variational data assimilation method using this distance. We investigate the impact of the scalar product, the 5 gradient choice as well as the minimization algorithm. With appropriate choices, we show successful results on preliminary experiments. Optimal-transport-based optimization seems to be promising to preserve the geometrical properties of the estimated initial condition.

Citation: Feyeux, N., Vidard, A., and Nodet, M.: Optimal Transport for Variational Data Assimilation, Nonlin. Processes Geophys. Discuss.,, in review, 2017.
Nelson Feyeux et al.
Nelson Feyeux et al.
Nelson Feyeux et al.


Total article views: 194 (including HTML, PDF, and XML)

HTML PDF XML Total BibTeX EndNote
136 53 5 194 6 6

Views and downloads (calculated since 07 Aug 2017)

Cumulative views and downloads (calculated since 07 Aug 2017)

Viewed (geographical distribution)

Total article views: 194 (including HTML, PDF, and XML)

Thereof 192 with geography defined and 2 with unknown origin.

Country # Views %
  • 1



Latest update: 24 Nov 2017
Publications Copernicus