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News/Beyond Straightness: Non-Crossing Flow Matching via Quantile AlignTree Coupling
arxiv
PublishedSeptember 4, 2026 at 4:00 AM
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Beyond Straightness: Non-Crossing Flow Matching via Quantile AlignTree Coupling

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arXiv:2609.03443v1 Announce Type: new Abstract: The performance of Flow Matching largely depends on the quality of the coupling between the source and target distributions. However, independent coupling often leads to path crossings and local velocity ambiguity, while OT-based couplings typically in

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