Ensemble Riemannian data assimilation over the Wasserstein space
<p>In this paper, we present an ensemble data assimilation paradigm over a Riemannian manifold equipped with the Wasserstein metric. Unlike the Euclidean distance used in classic data assimilation methodologies, the Wasserstein metric can capture the translation and difference between the shap...
Main Authors: | S. K. Tamang, A. Ebtehaj, P. J. van Leeuwen, D. Zou, G. Lerman |
---|---|
Format: | Article |
Language: | English |
Published: |
Copernicus Publications
2021-07-01
|
Series: | Nonlinear Processes in Geophysics |
Online Access: | https://npg.copernicus.org/articles/28/295/2021/npg-28-295-2021.pdf |
Similar Items
-
Variational data assimilation via sparse regularisation
by: Ardeshir M. Ebtehaj, et al.
Published: (2014-02-01) -
Comparative Studies of Some Topological Properties on Hyperspaces of Convex Bodies and Wasserstein Hyperspace Associated with Riemannian Manifold
by: M. A. Morawo, et al.
Published: (2024-12-01) -
Comparative Studies of Some Topological Properties on Hyperspaces of Convex Bodies and Wasserstein Hyperspace Associated with Riemannian Manifold
by: M. A. Morawo, et al.
Published: (2024-12-01) -
Statistical data analysis in the Wasserstein space*
by: Bigot Jérémie
Published: (2020-01-01) -
Hydrological objective functions and ensemble averaging with the Wasserstein distance
by: J. C. Magyar, et al.
Published: (2023-03-01)