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Paper · arXiv

Structured Coupling for Flow Matching

Standard flow matching scales well but typically relies on an unstructured source distribution, limiting its ability to learn interpretable latent structure. Latent-variable models, by contrast, capture structure but often sacrifice generative quality. We bridge this gap by proposing Structured Coupling for Flow Matching (SCFM), a cooperative framework that augments flow matching with structured latent representation learning. By introducing structured latent variables and exogenous noise into the source, SCFM jointly learns a structured prior (via latent variable modeling) and a continuous transport map (via flow matching). It uses a shared time-dependent recognition network for both lat...

AuthorsXavier Sumba, Carles Balsells-Rodas, Yingzhen Li
Primary categorycs.LG
Published8 May 2026
Last updated at source8 May 2026
cs.LG
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