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Main Authors: Wu, Yongliang, Zhou, Yizhou, Ziheng, Zhou, Peng, Yingzhe, Ye, Xinyu, Hu, Xinting, Zhu, Wenbo, Qi, Lu, Yang, Ming-Hsuan, Yang, Xu
Format: Preprint
Published: 2025
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Online Access:https://arxiv.org/abs/2508.05629
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author Wu, Yongliang
Zhou, Yizhou
Ziheng, Zhou
Peng, Yingzhe
Ye, Xinyu
Hu, Xinting
Zhu, Wenbo
Qi, Lu
Yang, Ming-Hsuan
Yang, Xu
author_facet Wu, Yongliang
Zhou, Yizhou
Ziheng, Zhou
Peng, Yingzhe
Ye, Xinyu
Hu, Xinting
Zhu, Wenbo
Qi, Lu
Yang, Ming-Hsuan
Yang, Xu
contents In this work, we present a simple yet theoretically motivated improvement to Supervised Fine-Tuning (SFT) for the Large Language Model (LLM), addressing its limited generalization compared to reinforcement learning (RL). Through mathematical analysis, we reveal that standard SFT gradients implicitly encode a problematic reward structure that may severely restrict the generalization capabilities of model compared to RL. To rectify this, we propose Dynamic Fine-Tuning (\model), stabilizing gradient updates for each token by dynamically rescaling the objective function with the probability of this token. With just a single-line change, the method outperforms standard SFT on multiple difficult benchmarks and base models, from math reasoning to code generation and multi-modal tasks, demonstrating improved generalization. Additionally, \model~achieves competitive results in offline RL settings, providing an effective yet streamlined alternative. By bridging theoretical insights with practical solutions, this work advances the state of SFT. The source code will be available at https://github.com/yongliang-wu/DFT.
format Preprint
id arxiv_https___arxiv_org_abs_2508_05629
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle On the Generalization of SFT: A Reinforcement Learning Perspective with Reward Rectification
Wu, Yongliang
Zhou, Yizhou
Ziheng, Zhou
Peng, Yingzhe
Ye, Xinyu
Hu, Xinting
Zhu, Wenbo
Qi, Lu
Yang, Ming-Hsuan
Yang, Xu
Machine Learning
In this work, we present a simple yet theoretically motivated improvement to Supervised Fine-Tuning (SFT) for the Large Language Model (LLM), addressing its limited generalization compared to reinforcement learning (RL). Through mathematical analysis, we reveal that standard SFT gradients implicitly encode a problematic reward structure that may severely restrict the generalization capabilities of model compared to RL. To rectify this, we propose Dynamic Fine-Tuning (\model), stabilizing gradient updates for each token by dynamically rescaling the objective function with the probability of this token. With just a single-line change, the method outperforms standard SFT on multiple difficult benchmarks and base models, from math reasoning to code generation and multi-modal tasks, demonstrating improved generalization. Additionally, \model~achieves competitive results in offline RL settings, providing an effective yet streamlined alternative. By bridging theoretical insights with practical solutions, this work advances the state of SFT. The source code will be available at https://github.com/yongliang-wu/DFT.
title On the Generalization of SFT: A Reinforcement Learning Perspective with Reward Rectification
topic Machine Learning
url https://arxiv.org/abs/2508.05629