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News/Generalized Wasserstein Flow Matching: Nested Couplings for Point Cloud Generation
arxiv
PublishedOctober 28, 2026 at 4:00 AM

Generalized Wasserstein Flow Matching: Nested Couplings for Point Cloud Generation

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arXiv:2605.08424v3 Announce Type: replace Abstract: We formulate flow matching on probability measures over probability measures. Directly from the Wasserstein-on-Wasserstein (WoW) continuity equation, we show that admissible nested outer and inner couplings induce a valid metameasure flow and non-l

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