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Where Should Optimizer State Live? Tiered State Allocation for Memory-Efficient Mixture-of-Experts Training

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TL;DR - SkewAdam allocates different optimizer states to MoE backbones, experts, and routers, cutting optimizer-state memory to 1.29 GB while outperforming tested baselines. It enables a 6.78B-parameter MoE model to train within a 40 GB accelerator budget.

  • Reduces optimizer state from AdamW’s 50.6 GB to 1.29 GB and peak training memory from 81.4 GB to 31.3 GB.
  • Uses momentum plus factored second moments for the backbone, factored second moments for experts, and exact second moments for the router.
  • Reaches 108.4 validation perplexity versus 126.8 for AdamW, 120.2 for Muon, and 393.7 for Lion over 82M tokens.
  • Ablations indicate tiering provides memory savings without accuracy loss, while retained momentum drives the performance advantage.

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Where Should Optimizer State Live? Tiered State Allocation for Memory-Efficient Mixture-of-Experts Training

arXiv cs.LG Nuemaan Malik 2026-07-21 arXiv:2607.19058
Public signals Hugging Face upvotes 7
Providers: Hugging Face · Upvotes 7 OpenAlex · N/A Publisher · N/A Semantic Scholar · N/A X · N/A Fetched 2026-08-21 14:39:07.596100 UTC

TL;DR - SkewAdam allocates different optimizer states to MoE backbones, experts, and routers, cutting optimizer-state memory to 1.29 GB while outperforming tested baselines. It enables a 6.78B-parameter MoE model to train within a 40 GB accelerator budget.

  • Reduces optimizer state from AdamW’s 50.6 GB to 1.29 GB and peak training memory from 81.4 GB to 31.3 GB.
  • Uses momentum plus factored second moments for the backbone, factored second moments for experts, and exact second moments for the router.
  • Reaches 108.4 validation perplexity versus 126.8 for AdamW, 120.2 for Muon, and 393.7 for Lion over 82M tokens.
  • Ablations indicate tiering provides memory savings without accuracy loss, while retained momentum drives the performance advantage.
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