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Paper · arXiv

Multiscale Supervised Unbalanced Optimal Transport Flow Matching

Unbalanced optimal transport (UOT) provides a principled framework for modeling single-cell transitions and birth-death dynamics, but its high computational cost limits scalability to large-scale datasets. Although single-cell data often contain hierarchical annotations and known transition priors, existing UOT approximations rarely exploit this multiscale structure or prior knowledge. We introduce Multiscale Supervised Unbalanced Optimal Transport Flow Matching (MUST-FM), a simulation-free framework that scales UOT by leveraging hierarchical data structure. MUST-FM further supports an optional supervised formulation that incorporates transition priors, such as cell lineages, to guide the...

AuthorsQiangwei Peng, Lezhi Chen, Peijie Zhou
Primary categorycs.LG
Published15 May 2026
Last updated at source15 May 2026
cs.LGmath.OC
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