ResearchResearch paperLarge Language Models1 source · Oct 16, 2026

Large Diffusion Models Need More Than EMA

Large-scale diffusion models are commonly trained with a constant learning rate (LR) and exponential moving average (EMA), despite the strong performance of LR decay and Schedule-Free optimization in training large language models.

Key points

  • We study whether EMA is uniquely suited to diffusion training, or whether stronger alternatives have been underexplored.
  • Our theory shows that averaging a constant-step trajectory has an inherent optimization limitation, whereas LR decay and Schedule-Free optimization admit vanishing stationarity guarantees under standard nonconvex assumptions.
  • Our analysis further shows that all three strategies substantially reduce parameter variability, yet stronger stabilization is not always better: EMA with a constant LR retains comparatively higher parameter variability, while aggressive decay combined with EMA achieves the lowest checkpoint variability but also weakens continued optimization.
  • Overall, our results suggest that large diffusion models need more than parameter averaging alone: effective optimization requires balancing variance reduction with continued optimization.

Sources (1)

  • [1]Large Diffusion Models Need More Than EMA
    arXiv (AI, ML, NLP, CV, robotics, multi-agent) · Oct 16, 05:13 AM
    Large-scale diffusion models are commonly trained with a constant learning rate (LR) and exponential moving average (EMA), despite the strong performance of LR decay and Schedule-Free optimization in training large language models.
    We study whether EMA is uniquely suited to diffusion training, or whether stronger alternatives have been underexplored.

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