Geometry of Rainfall Ensemble Means: From Arithmetic Averages to Gaussian-Hellinger Barycenters in Unbalanced Optimal Transport

Author:

DUC Le1ORCID,SAWADA Yohei1

Affiliation:

1. Institute of Engineering Innovation, The University of Tokyo, Tokyo, Japan

Publisher

Meteorological Society of Japan

Subject

Atmospheric Science

Reference31 articles.

1. Benamou, J.-D., G. Carlier, M. Cuturi, L. Nenna, and G. Peyré, 2015: Iterative Bregman projections for regularized transportation problems. SIAM J. Sci. Comput., 37, A1111–A1138.

2. Blondel, M., V. Seguy, and A. Rolet, 2018: Smooth and sparse optimal transport. Proceeding of International Conference on Artificial Intelligence and Statistics, 880–889.

3. Chapel, L., R. Flamary, H. Wu, C. Févotte, and G. Gasso, 2021: Unbalanced optimal transport through non-negative penalized linear regression. Proceeding of 35th Conference on Neural Information Processing Systems, 18 pp. [Available at https://arxiv.org/abs/2106.04145.]

4. Chizat, L., G. Peyré, B. Schmitzer, and F. X. Vialard, 2018a: Unbalanced optimal transport: geometry and Kantorovich formulation. J. Functional Anal., 274, 3090–3123.

5. Chizat, L., G. Peyré, B. Schmitzer, and F. X. Vialard, 2018b: Scaling algorithms for unbalanced transport problems. Math. Comput., 87, 2563–2609.

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