CE-GPPO: Coordinating Entropy via Gradient-Preserving Clipping Policy Optimization in Reinforcement Learning

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Hauptverfasser: Su, Zhenpeng, Pan, Leiyu, Lv, Minxuan, Li, Yuntao, Hu, Wenping, Zhang, Fuzheng, Gai, Kun, Zhou, Guorui
Format: Preprint
Veröffentlicht: 2025
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author Su, Zhenpeng
Pan, Leiyu
Lv, Minxuan
Li, Yuntao
Hu, Wenping
Zhang, Fuzheng
Gai, Kun
Zhou, Guorui
author_facet Su, Zhenpeng
Pan, Leiyu
Lv, Minxuan
Li, Yuntao
Hu, Wenping
Zhang, Fuzheng
Gai, Kun
Zhou, Guorui
contents Reinforcement learning (RL) has become a powerful paradigm for optimizing large language models (LLMs) to handle complex reasoning tasks. A core challenge in this process lies in managing policy entropy, which reflects the balance between exploration and exploitation during training. Existing methods, such as proximal policy optimization (PPO) and its variants, discard valuable gradient signals from low-probability tokens due to the clipping mechanism. We systematically analyze the entropy dynamics and reveal that these clipped tokens play a critical yet overlooked role in regulating entropy evolution. We propose \textbf{C}oordinating \textbf{E}ntropy via \textbf{G}radient-\textbf{P}reserving \textbf{P}olicy \textbf{O}ptimization (CE-GPPO), a novel algorithm that reintroduces gradients from clipped tokens in native PPO in a gentle and bounded manner. By controlling the magnitude of gradients from tokens outside the clipping interval, CE-GPPO is able to achieve an exploration-exploitation trade-off. We provide theoretical justification and empirical evidence showing that CE-GPPO effectively mitigates entropy instability. Extensive experiments on mathematical reasoning benchmarks show that CE-GPPO consistently outperforms strong baselines across different model scales.
format Preprint
id arxiv_https___arxiv_org_abs_2509_20712
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle CE-GPPO: Coordinating Entropy via Gradient-Preserving Clipping Policy Optimization in Reinforcement Learning
Su, Zhenpeng
Pan, Leiyu
Lv, Minxuan
Li, Yuntao
Hu, Wenping
Zhang, Fuzheng
Gai, Kun
Zhou, Guorui
Machine Learning
Computation and Language
Reinforcement learning (RL) has become a powerful paradigm for optimizing large language models (LLMs) to handle complex reasoning tasks. A core challenge in this process lies in managing policy entropy, which reflects the balance between exploration and exploitation during training. Existing methods, such as proximal policy optimization (PPO) and its variants, discard valuable gradient signals from low-probability tokens due to the clipping mechanism. We systematically analyze the entropy dynamics and reveal that these clipped tokens play a critical yet overlooked role in regulating entropy evolution. We propose \textbf{C}oordinating \textbf{E}ntropy via \textbf{G}radient-\textbf{P}reserving \textbf{P}olicy \textbf{O}ptimization (CE-GPPO), a novel algorithm that reintroduces gradients from clipped tokens in native PPO in a gentle and bounded manner. By controlling the magnitude of gradients from tokens outside the clipping interval, CE-GPPO is able to achieve an exploration-exploitation trade-off. We provide theoretical justification and empirical evidence showing that CE-GPPO effectively mitigates entropy instability. Extensive experiments on mathematical reasoning benchmarks show that CE-GPPO consistently outperforms strong baselines across different model scales.
title CE-GPPO: Coordinating Entropy via Gradient-Preserving Clipping Policy Optimization in Reinforcement Learning
topic Machine Learning
Computation and Language
url https://arxiv.org/abs/2509.20712