Asymmetric On-Policy Distillation: Bridging Exploitation and Imitation at the Token Level

Nan Jia, Haojin Yang, Xing Ma, Jiesong Lian, Shuailiang Zhang, Weipeng Zhang, Ke Zeng, Xunliang Cai, Zequn Sun


Abstract
On-policy distillation (OPD) trains a student on its own trajectories with token-level teacher feedback and often outperforms off-policy distillation and reinforcement learning with verifiable rewards. However, we find that its standard advantage-weighted policy gradient suffers from three structural weaknesses, including high-variance updates, vanishing gradients in zero-advantage regions, and exploration bottlenecks for models with limited capability. We therefore propose asymmetric on-policy distillation (AOPD), which replaces ineffective policy gradient with localized divergence minimization in non-positive advantage regions while preserving positive reinforcement learning. Experiments on mathematical reasoning benchmarks show that AOPD consistently outperforms standard OPD, with average gains of 4.09 / 8.34 under strong / weak initialization, respectively. AOPD also maintains higher policy entropy during training and better capability retention during sequential tool-use adaptation. Our source code is available at [repository](https://github.com/stargazer319/AOPD).
Anthology ID:
2026.findings-emnlp.238
Volume:
Findings of the Association for Computational Linguistics: EMNLP 2026
Month:
October
Year:
2026
Address:
Budapest, Hungary
Editors:
Hung-Yi Lee, Sunipa Dev, Jessy Li, Desmond Elliott
Venue:
Findings
SIG:
SIGDAT
Publisher:
Association for Computational Linguistics
Note:
Pages:
5014–5028
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URL:
https://aclanthology.org/2026.findings-emnlp.238/
DOI:
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Cite (ACL):
Nan Jia, Haojin Yang, Xing Ma, Jiesong Lian, Shuailiang Zhang, Weipeng Zhang, Ke Zeng, Xunliang Cai, and Zequn Sun. 2026. Asymmetric On-Policy Distillation: Bridging Exploitation and Imitation at the Token Level. In Findings of the Association for Computational Linguistics: EMNLP 2026, pages 5014–5028, Budapest, Hungary. Association for Computational Linguistics.
Cite (Informal):
Asymmetric On-Policy Distillation: Bridging Exploitation and Imitation at the Token Level (Jia et al., Findings 2026)
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https://aclanthology.org/2026.findings-emnlp.238.pdf