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Paper · arXiv

Radial Tail Repair: Post-Training Correction for Diffusion and Flow Models

Diffusion and flow-matching models may struggle to accurately represent distributional tails, especially for heavy-tailed data. Existing approaches often use heavy-tailed noise or modify the generative dynamics, requiring dedicated retraining and more difficult estimation. We take a simpler approach: rather than relearning the full distribution, we correct only the model's behavior in the extreme regime. Our method builds on the radial-angular decomposition of multivariate heavy tails, where radius and direction become asymptotically independent. This allows us to preserve the directional structure learned by the pretrained model and correct only its radial tail. We estimate the tail onse...

AuthorsHamza Cherkaoui, Hélène Halconruy, Antonio Ocello
Primary categorycs.LG
Published12 October 2026
Last updated at source12 October 2026
cs.LGstat.ML
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