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Pretraining Data Scale Reverses the Muon-AdamW Fine-Tuning Gap

Muon’s pretraining advantage may not carry through fine-tuning: at larger data budgets, AdamW performs better downstream. Optimizer choice may depend on both training scale and model size.

arXiv · Nov 2, 2026
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Source Summary

The study finds that **Muon** does better after fine-tuning at smaller pretraining data budgets, while **AdamW** takes the lead beyond a threshold. As model size grows, AdamW takes over at smaller pretraining token-to-parameter ratios.

Practical Implication

If you train models, evaluate optimizers on downstream fine-tuning outcomes as well as pretraining loss, and account for both data budget and model size.

Agent-Ready Context
The study finds that **Muon** does better after fine-tuning at smaller pretraining data budgets, while **AdamW** takes the lead beyond a threshold. As model size grows, AdamW takes over at smaller pretraining token-to-parameter ratios.

If you train models, evaluate optimizers on downstream fine-tuning outcomes as well as pretraining loss, and account for both data budget and model size.

The paper explains the shift using a margin-to-spread measure and proves a related result in a linear associative memory. The supplied material gives no threshold values for practical model sizes or training setups.
Context Map
modelresearch#model-selection#open-models
Uncertainty
The paper explains the shift using a margin-to-spread measure and proves a related result in a linear associative memory. The supplied material gives no threshold values for practical model sizes or training setups.