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

Fuente: arXiv
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Autori principali: Song, Minhak, Baek, Beomhan, Ahn, Kwangjun, Yun, Chulhee
Natura: Preprint
Pubblicazione: 2025
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author Song, Minhak
Baek, Beomhan
Ahn, Kwangjun
Yun, Chulhee
author_facet Song, Minhak
Baek, Beomhan
Ahn, Kwangjun
Yun, Chulhee
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2507_09846
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Through the River: Understanding the Benefit of Schedule-Free Methods for Language Model Training
Song, Minhak
Baek, Beomhan
Ahn, Kwangjun
Yun, Chulhee
Machine Learning
Artificial Intelligence
Optimization and Control
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.
title Through the River: Understanding the Benefit of Schedule-Free Methods for Language Model Training
topic Machine Learning
Artificial Intelligence
Optimization and Control
url https://arxiv.org/abs/2507.09846