@inproceedings{liu-etal-2026-heterogeneous,
title = "Heterogeneous Adaptive Policy Optimization: Tailoring Optimization to Every Token{'}s Nature",
author = "Liu, Zheng and
Liu, Mengjie and
Wen, Siwei and
Cai, Mengzhang and
Cui, Bin and
He, Conghui and
Zhang, Wentao",
editor = "Liakata, Maria and
Moreira, Viviane P. and
Zhang, Jiajun and
Jurgens, David",
booktitle = "Proceedings of the 64th Annual Meeting of the {A}ssociation for {C}omputational {L}inguistics (Volume 1: Long Papers)",
month = jul,
year = "2026",
address = "San Diego, California, United States",
publisher = "Association for Computational Linguistics",
url = "https://aclanthology.org/2026.acl-long.272/",
pages = "6023--6045",
ISBN = "979-8-89176-390-6",
abstract = "Using entropy as a measure of heterogeneity to guide optimization has emerged as a crucial research direction in Reinforcement Learning for LLMs. However, existing methods typically treat it as a discrete filter or post-hoc regulator rather than a core optimization driver. To fully leverage the potential of entropy and achieve fine-grained regulation, we introduce **H**eterogeneous **A**daptive **P**olicy **O**ptimization (HAPO), a token-aware algorithm that continuously adapts optimization dynamics based on token-level entropy throughout the entire training process. Our algorithm includes four key components: (1) **Adaptive Temperature Sampling** that adjusts sampling temperature in real time, promoting exploration at high-entropy tokens. (2) **Token-Level Group Average Advantage Estimation** that estimates advantages at token level, accounting for sequence-length effects while preserving non-biased treatment.(3) **Differential Advantage Redistribution** that leverages entropy and importance ratios to adjust advantages for tokens with clear signals. (4) **Asymmetric Adaptive Clipping** that dynamically adjusts clipping boundaries based on token-level entropy. Through systematic investigation of entropy, we embed token-level treatment into every stage. Extensive experiments on mathematical reasoning, code, and logic tasks across multiple models demonstrate HAPO{'}s consistent superiority over DAPO."
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<abstract>Using entropy as a measure of heterogeneity to guide optimization has emerged as a crucial research direction in Reinforcement Learning for LLMs. However, existing methods typically treat it as a discrete filter or post-hoc regulator rather than a core optimization driver. To fully leverage the potential of entropy and achieve fine-grained regulation, we introduce **H**eterogeneous **A**daptive **P**olicy **O**ptimization (HAPO), a token-aware algorithm that continuously adapts optimization dynamics based on token-level entropy throughout the entire training process. Our algorithm includes four key components: (1) **Adaptive Temperature Sampling** that adjusts sampling temperature in real time, promoting exploration at high-entropy tokens. (2) **Token-Level Group Average Advantage Estimation** that estimates advantages at token level, accounting for sequence-length effects while preserving non-biased treatment.(3) **Differential Advantage Redistribution** that leverages entropy and importance ratios to adjust advantages for tokens with clear signals. (4) **Asymmetric Adaptive Clipping** that dynamically adjusts clipping boundaries based on token-level entropy. Through systematic investigation of entropy, we embed token-level treatment into every stage. Extensive experiments on mathematical reasoning, code, and logic tasks across multiple models demonstrate HAPO’s consistent superiority over DAPO.</abstract>
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%0 Conference Proceedings
%T Heterogeneous Adaptive Policy Optimization: Tailoring Optimization to Every Token’s Nature
%A Liu, Zheng
%A Liu, Mengjie
%A Wen, Siwei
%A Cai, Mengzhang
%A Cui, Bin
%A He, Conghui
%A Zhang, Wentao
%Y Liakata, Maria
%Y Moreira, Viviane P.
%Y Zhang, Jiajun
%Y Jurgens, David
%S Proceedings of the 64th Annual Meeting of the Association for Computational Linguistics (Volume 1: Long Papers)
%D 2026
%8 July
%I Association for Computational Linguistics
%C San Diego, California, United States
%@ 979-8-89176-390-6
%F liu-etal-2026-heterogeneous
%X Using entropy as a measure of heterogeneity to guide optimization has emerged as a crucial research direction in Reinforcement Learning for LLMs. However, existing methods typically treat it as a discrete filter or post-hoc regulator rather than a core optimization driver. To fully leverage the potential of entropy and achieve fine-grained regulation, we introduce **H**eterogeneous **A**daptive **P**olicy **O**ptimization (HAPO), a token-aware algorithm that continuously adapts optimization dynamics based on token-level entropy throughout the entire training process. Our algorithm includes four key components: (1) **Adaptive Temperature Sampling** that adjusts sampling temperature in real time, promoting exploration at high-entropy tokens. (2) **Token-Level Group Average Advantage Estimation** that estimates advantages at token level, accounting for sequence-length effects while preserving non-biased treatment.(3) **Differential Advantage Redistribution** that leverages entropy and importance ratios to adjust advantages for tokens with clear signals. (4) **Asymmetric Adaptive Clipping** that dynamically adjusts clipping boundaries based on token-level entropy. Through systematic investigation of entropy, we embed token-level treatment into every stage. Extensive experiments on mathematical reasoning, code, and logic tasks across multiple models demonstrate HAPO’s consistent superiority over DAPO.
%U https://aclanthology.org/2026.acl-long.272/
%P 6023-6045
Markdown (Informal)
[Heterogeneous Adaptive Policy Optimization: Tailoring Optimization to Every Token’s Nature](https://aclanthology.org/2026.acl-long.272/) (Liu et al., ACL 2026)
ACL
- Zheng Liu, Mengjie Liu, Siwei Wen, Mengzhang Cai, Bin Cui, Conghui He, and Wentao Zhang. 2026. Heterogeneous Adaptive Policy Optimization: Tailoring Optimization to Every Token’s Nature. In Proceedings of the 64th Annual Meeting of the Association for Computational Linguistics (Volume 1: Long Papers), pages 6023–6045, San Diego, California, United States. Association for Computational Linguistics.