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Paper · arXiv

StraightDP: Geometry-Aware Differential Privacy for Rectified-Flow Transformers

Differentially private (DP) training of text-conditioned generative models suffers a utility cliff at strong privacy. We revisit this problem through the geometry of rectified flows: along the straight interpolation between noise and data, the Bayes-optimal velocity is governed to leading order at the noise end by a few class-conditional moments, and increasingly sample-specific structure matters toward the data end. StraightDP exploits this heterogeneity end to end. A small budget share releases whitened class-conditional moments once, to be distilled into the weights or injected at sampling time. The rest is spent by pre-declared DP-SGD toward the data end, beyond the moments' reach. At...

AuthorsXujun Che, Depeng Xu, Xintao Wu
Primary categorycs.LG
Published31 July 2026
Last updated at source31 July 2026
cs.LGcs.CRcs.CV
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