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Paper · arXiv

Global Transport Couplings for Classifier-Free Guided Flows

Optimal-transport couplings have been shown to reduce training variance in unconditional flow models, but their role in conditional generation remains unclear. A natural approach constructs separate couplings for each condition, but this is impractical for large or continuous conditioning spaces found in modern image foundation models. We introduce Global Transport (GT), a global class-agnostic optimal-transport coupling, computed without class labels. GT can associate different conditions with different regions of the source noise, and consequently worsens performance without guidance. However, when combined with classifier-free guidance (CFG), GT consistently improves generation across ...

AuthorsKatarina Petrović, Zander W. Blasingame, Danyal Rehman et al.
Primary categorycs.LG
Published6 October 2026
Last updated at source6 October 2026
cs.LG
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