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Divergence-Suppressing Couplings for Rectified Flow

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Divergence-Suppressing Couplings for Rectified Flow
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The paper discusses divergence-suppressing couplings for Rectified Flow, aimed at improving trajectory generation. It identifies issues with trajectory entanglement caused by nonzero divergence in the learned velocity field. The proposed method offers a correction that enhances performance without increasing computational costs during deployment.

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arXiv cs.AI
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Computer Science > Artificial Intelligence arXiv:2605.17733 (cs) [Submitted on 18 May 2026] Title:Divergence-Suppressing Couplings for Rectified Flow Authors:Yimeng Min, Carla P. Gomes View a PDF of the paper titled Divergence-Suppressing Couplings for Rectified Flow, by Yimeng Min and 1 other authors View PDF HTML (experimental) Abstract:The promise of Rectified Flow rests on producing self-generated couplings whose trajectories are straight, or nearly so. In practice, trajectories generated by the base flow model can bend and intertwine, and the resulting coupling inherits this distortion.

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