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Adaptive Moments are Surprisingly Effective for Plug-and-Play Diffusion Sampling

arXiv cs.LG / 3/18/2026

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Key Points

  • The authors propose using adaptive moment estimation to stabilize noisy likelihood scores during guided diffusion sampling.
  • The approach is plug-and-play and simple, yet achieves state-of-the-art results on image restoration and class-conditional generation, outperforming more complex and costly methods.
  • Empirical analysis on synthetic and real data shows that mitigating gradient noise via adaptive moments improves sampling alignment.
  • The work suggests broader applicability and potential efficiency gains for diffusion-based sampling pipelines in practical AI tasks.

Abstract

Guided diffusion sampling relies on approximating often intractable likelihood scores, which introduces significant noise into the sampling dynamics. We propose using adaptive moment estimation to stabilize these noisy likelihood scores during sampling. Despite its simplicity, our approach achieves state-of-the-art results on image restoration and class-conditional generation tasks, outperforming more complicated methods, which are often computationally more expensive. We provide empirical analysis of our method on both synthetic and real data, demonstrating that mitigating gradient noise through adaptive moments offers an effective way to improve alignment.