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Paper · arXiv

Unifying Distributional Training for One-Step Visual Generation

Distributional training provides collective supervision for one-step visual generation by matching real and generated features in frozen representation spaces. We introduce a unified theoretical framework that separates distribution modeling from matching discrepancy and connects global objectives to pointwise feature updates through Wasserstein gradient flow. Under this framework, FD-Loss and Gaussian-kernel Drifting are recovered through Gaussian optimal transport and kernel-density-based KL matching, respectively. The framework motivates MGFlow, which models feature distributions with Gaussian mixtures at an adjustable granularity between global moments and sample-based representations...

AuthorsChi Zhang, Shi Haoyang, Yueyi Liu et al.
Primary categorycs.LG
Published28 September 2026
Last updated at source2 October 2026
cs.LG
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