WSM: Decay-Free Learning Rate Schedule via Checkpoint Merging for LLM Pre-training

Fuente: arXiv
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Autores principales: Tian, Changxin, Wang, Jiapeng, Zhao, Qian, Chen, Kunlong, Liu, Jia, Liu, Ziqi, Mao, Jiaxin, Zhao, Wayne Xin, Zhang, Zhiqiang, Zhou, Jun
Formato: Preprint
Publicado: 2025
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author Tian, Changxin
Wang, Jiapeng
Zhao, Qian
Chen, Kunlong
Liu, Jia
Liu, Ziqi
Mao, Jiaxin
Zhao, Wayne Xin
Zhang, Zhiqiang
Zhou, Jun
author_facet Tian, Changxin
Wang, Jiapeng
Zhao, Qian
Chen, Kunlong
Liu, Jia
Liu, Ziqi
Mao, Jiaxin
Zhao, Wayne Xin
Zhang, Zhiqiang
Zhou, Jun
contents Recent advances in learning rate (LR) scheduling have demonstrated the effectiveness of decay-free approaches that eliminate the traditional decay phase while maintaining competitive performance. Model merging techniques have emerged as particularly promising solutions in this domain. We present Warmup-Stable and Merge (WSM), a general framework that establishes a formal connection between learning rate decay and model merging. WSM provides a unified theoretical foundation for emulating various decay strategies-including cosine decay, linear decay and inverse square root decay-as principled model averaging schemes, while remaining fully compatible with diverse optimization methods. Through extensive experiments, we identify merge duration-the training window for checkpoint aggregation-as the most critical factor influencing model performance, surpassing the importance of both checkpoint interval and merge quantity. Our framework consistently outperforms the widely-adopted Warmup-Stable-Decay (WSD) approach across multiple benchmarks, achieving significant improvements of +3.5% on MATH, +2.9% on HumanEval, and +5.5% on MMLU-Pro. The performance advantages extend to supervised fine-tuning scenarios, highlighting WSM's potential for long-term model refinement.
format Preprint
id arxiv_https___arxiv_org_abs_2507_17634
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle WSM: Decay-Free Learning Rate Schedule via Checkpoint Merging for LLM Pre-training
Tian, Changxin
Wang, Jiapeng
Zhao, Qian
Chen, Kunlong
Liu, Jia
Liu, Ziqi
Mao, Jiaxin
Zhao, Wayne Xin
Zhang, Zhiqiang
Zhou, Jun
Computation and Language
Machine Learning
I.2.7
Recent advances in learning rate (LR) scheduling have demonstrated the effectiveness of decay-free approaches that eliminate the traditional decay phase while maintaining competitive performance. Model merging techniques have emerged as particularly promising solutions in this domain. We present Warmup-Stable and Merge (WSM), a general framework that establishes a formal connection between learning rate decay and model merging. WSM provides a unified theoretical foundation for emulating various decay strategies-including cosine decay, linear decay and inverse square root decay-as principled model averaging schemes, while remaining fully compatible with diverse optimization methods. Through extensive experiments, we identify merge duration-the training window for checkpoint aggregation-as the most critical factor influencing model performance, surpassing the importance of both checkpoint interval and merge quantity. Our framework consistently outperforms the widely-adopted Warmup-Stable-Decay (WSD) approach across multiple benchmarks, achieving significant improvements of +3.5% on MATH, +2.9% on HumanEval, and +5.5% on MMLU-Pro. The performance advantages extend to supervised fine-tuning scenarios, highlighting WSM's potential for long-term model refinement.
title WSM: Decay-Free Learning Rate Schedule via Checkpoint Merging for LLM Pre-training
topic Computation and Language
Machine Learning
I.2.7
url https://arxiv.org/abs/2507.17634