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most citedNeural Sampling from Boltzmann Densities: Fisher-Rao Curves in the Wasserstein Geometry

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cs.LG2026

Generalized Wasserstein Flow Matching: Nested Couplings for Point Cloud Generation

Moritz Piening, Richard Duong, Gabriele Steidl

We formulate flow matching on probability measures over probability measures. Directly from the Wasserstein-on-Wasserstein (WoW) continuity equation, we show that admissible nested…