1 citations · 2 across the 5 of their papers we have counts for
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Toland duality and particle approximations for signed Wasserstein barycenters
Thomas Gallouët, Andrea Natale, Gabriele Todeschi
We study the problem of minimizing a weighted sum of squared Wasserstein distances with signed coefficients. In the case of a single positive coefficient, we derive two convex dual…
Debiasing optimal transport: classical and entropic
Pierre-Cyril Aubin-Frankowski, Virginie Ehrlacher, Gabriele Todeschi
We study the notion of debiasability for cost functions arising in optimal transport. We call a symmetric cost function …
Metric extrapolation in the Wasserstein space
Thomas O. Gallouët, Andrea Natale, Gabriele Todeschi
In this article we study a variational problem providing a way to extend for all times minimizing geodesics connecting two given probability measures, in the Wasserstein space. Thi…
Unbalanced L1 optimal transport for vector valued measures and application to Full Waveform Inversion
Gabriele Todeschi, Ludovic Métivier, Jean-Marie Mirebeau
Optimal transport has recently started to be successfully employed to define misfit or loss functions in inverse problems. However, it is a problem intrinsically defined for positi…