Abstract:Most common optimal transport (OT) solvers are currently based on an approximation of underlying measures by discrete measures. However, it is sometimes relevant to work only with moments of measures instead of the measure itself, and many common OT problems can be formulated as moment problems (the most relevant examples being $$L^p$$
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-Wasserstein distances, barycenters, and Gromov–Wasserstein discrepancies on Euclidean sp… Show more
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