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Paper · arXiv

Revisiting the Adam-SGD Gap in LLM Pre-Training: The Role of Large Effective Learning Rates

It is widely believed that stochastic gradient descent (SGD) performs significantly worse than adaptive optimizers such as Adam in pre-training Large Language Models (LLMs). Yet the underlying reason for this gap remains unclear. In this work, we attribute a large part of the discrepancy to SGD's inability to sustain learning rates comparable to Adam's much larger effective learning rates. Through empirical and theoretical analysis of LLM pre-training dynamics, we identify that training is characterized by small gradient norms and large weight-to-gradient ratios, an effect that becomes more pronounced with larger batch sizes typical in pre-training, necessitating such large effective lear...

AuthorsAthanasios Glentis, Dawei Li, Chung-Yiu Yau et al.
Primary categorycs.LG
Published18 May 2026
Last updated at source18 May 2026
cs.LG
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