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Optimal Stepsize for Diffusion Sampling

27 March 2025
Jianning Pei
Han Hu
Shuyang Gu
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Abstract

Diffusion models achieve remarkable generation quality but suffer from computational intensive sampling due to suboptimal step discretization. While existing works focus on optimizing denoising directions, we address the principled design of stepsize schedules. This paper proposes Optimal Stepsize Distillation, a dynamic programming framework that extracts theoretically optimal schedules by distilling knowledge from reference trajectories. By reformulating stepsize optimization as recursive error minimization, our method guarantees global discretization bounds through optimal substructure exploitation. Crucially, the distilled schedules demonstrate strong robustness across architectures, ODE solvers, and noise schedules. Experiments show 10x accelerated text-to-image generation while preserving 99.4% performance on GenEval. Our code is available atthis https URL.

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@article{pei2025_2503.21774,
  title={ Optimal Stepsize for Diffusion Sampling },
  author={ Jianning Pei and Han Hu and Shuyang Gu },
  journal={arXiv preprint arXiv:2503.21774},
  year={ 2025 }
}
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