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Paper · arXiv

On the Stability and Convergence of Flow Map Training

Flow maps are a recent method of probabilistic generation that amortize diffusion trajectories into one-step samplers, unlocking efficient generation. While progress has been made in improving their empirical performance, there is still a lack of understanding behind the mechanisms underlying their success. Specifically, many flow map learning methods employ stop gradient operators as a crucial part of their training target. Adaptive weighting also drastically improves the generation capabilities of flow maps. Although many interpretations have been proposed to support the inclusion of these heuristics, none have analyzed the impact of these assumptions on the training dynamics of flow ma...

AuthorsIshan Nath, Tom Stanic, Avishek Joey Bose et al.
Primary categorystat.ML
Published14 October 2026
Last updated at source14 October 2026
stat.MLcs.LG
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