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Paper · arXiv

ReSFlow: Rectifying Categorical Flows on Statistical Manifolds for One-Step Generation

Generative modeling for discrete data has been significantly advanced by learning continuous vector fields on the statistical manifolds to transport simple priors to target discrete distributions. However, because these continuous-time flows are not constrained to follow geodesics on the statistical manifold, thereby requiring multi-step numerical integration for simulation and leading to substantial computational costs during inference. In this work, drawing inspiration from the "straight and fast" properties of Rectified Flow in continuous Euclidean space, we propose the Rectified Statistical Flow (ReSFlow) model, which enables one-step categorical generation on statistical manifolds by...

AuthorsXiaohuan Jia, Renzhe Xu, Xiao Wang et al.
Primary categorycs.LG
Published9 October 2026
Last updated at source13 October 2026
cs.LGcs.AI
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