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This research introduces On-Policy Delta Distillation (OPD²), a refined post-training technique that leverages probability gaps between teacher and base models to enhance mathematical reasoning across English, Korean, and Japanese. By analyzing Qwen3 experiments, the study demonstrates that OPD² significantly narrows performance disparities in multilingual settings while preventing response drift toward English when using monolingual training data. The findings highlight critical strategies for maintaining linguistic fidelity during LLM fine-tuning without relying on reinforcement learning.
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On-Policy Delta Distillation for Multilingual Math Reasoning

arXiv2 min read

arXiv:2608.05802v1 Announce Type: new Abstract: On-Policy Distillation (OPD) is emerging as a promising alternative to reinforcement learning for LLM post-training, yet its effectiveness in multilingual settings remains underexplored. We study OPD and its advanced variant, On-Policy Delta Distillation (OPD$^2$), for mathematical reasoning in English, Korean, and Japanese. OPD$^2$ improves OPD by using the probability gap between a post-trained teacher and its base model as the learning signal. Experiments with Qwen3 show that OPD$^2$ consistently outperforms the original OPD, with particularly strong improvements in Korean and Japanese, and generally narrows the English-Korean performance gap. We further find that English-only OPD can also increase performance for Korean and Japanese, but often shifts the responses toward English, highlighting the importance of multilingual data to preserving target-language responses.

Abstract:On-Policy Distillation (OPD) is emerging as a promising alternative to reinforcement learning for LLM post-training, yet its effectiveness in multilingual settings remains underexplored. We study OPD and its advanced variant, On-Policy Delta Distillation (OPD$^2$), for mathematical reasoning in English, Korean, and Japanese. OPD$^2$ improves OPD by using the probability gap between a post-trained teacher and its base model as the learning signal. Experiments with Qwen3 show that OPD$^2$ consistently outperforms the original OPD, with particularly strong improvements in Korean and Japanese, and generally narrows the English-Korean performance gap. We further find that English-only OPD can also increase performance for Korean and Japanese, but often shifts the responses toward English, highlighting the importance of multilingual data to preserving target-language responses.

Computation and Language (cs.CL); Machine Learning (cs.LG)

arXiv:2608.05802 [cs.CL]

(or arXiv:2608.05802v1 [cs.CL] for this version)

https://doi.org/10.48550/arXiv.2608.05802 Focus to learn more arXiv-issued DOI via DataCite (pending registration)

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