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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…
math.OC2024
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…