Optimizer rankings reverse across batch sizes; scaling rules fail

Extensive tuning across batch sizes shows that the best optimizer for language model pretraining changes with batch size, and no principled scaling rule for Muon works consistently.

Top University
Xingyu Dang · Kaiyue Wen · Sadhika Malladi

Princeton University · Stanford University · University of California, San Diego

Research Digest··3 min read
The authors compare Adam, Lion, Muon, SOAP, and Shampoo across batch sizes in language model pretraining, independently tuning each optimizer at every batch size.

The authors benchmarked Adam, Lion, Muon, SOAP, and Shampoo in the Modded-NanoGPT optimization benchmark, tuning each optimizer independently at every batch size using coordinate descent over hyperparameters.

Why this paper

From Princeton University and 2 others

In one line

The best optimizer for language model pretraining changes with batch size even after extensive hyperparameter tuning.

What we could check

  • ·No code link found
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  • ✓Limitations stated by the authors
  • ·No benchmark numbers found

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