LGAIOCMLJul 14, 2025

Through the River: Understanding the Benefit of Schedule-Free Methods for Language Model Training

arXiv:2507.09846v48 citationsh-index: 3
Originality Incremental advance
AI Analysis

This addresses the need for scalable and efficient training methods for large language models, offering a practical alternative to existing schedules, though it is incremental as it builds on prior SF work.

The paper tackled the problem of inadequate conventional pretraining strategies like cosine learning rate schedules for large-scale language model training by revisiting the Schedule-Free (SF) method, showing that SF-AdamW effectively navigates the loss landscape without decay phases or memory overhead, and proposing a refined variant that improves robustness to momentum and performance under large batch sizes.

As both model and dataset sizes continue to scale rapidly, conventional pretraining strategies with fixed compute budgets-such as cosine learning rate schedules-are increasingly inadequate for large-scale training. Recent alternatives, including warmup-stable-decay (WSD) schedules and weight averaging, offer greater flexibility. However, WSD relies on explicit decay phases to track progress, while weight averaging addresses this limitation at the cost of additional memory. In search of a more principled and scalable alternative, we revisit the Schedule-Free (SF) method [Defazio et al., 2024], which has shown strong empirical performance across diverse settings. We show that SF-AdamW effectively navigates the "river" structure of the loss landscape without decay phases or auxiliary averaging, making it particularly suitable for continuously scaling training workloads. To understand this behavior, we conduct a theoretical and empirical analysis of SF dynamics, revealing that it implicitly performs weight averaging without memory overhead. Guided by this analysis, we propose a refined variant of SF that improves robustness to momentum and performs better under large batch sizes, addressing key limitations of the original method. Together, these results establish SF as a practical, scalable, and theoretically grounded approach for language model training.

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