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This research introduces DualOPSD, an adaptive framework for on-policy self-distillation that dynamically aligns the privileged teacher with the evolving student distribution during training. By eliminating the need for external rollouts to update supervision, the method significantly boosts mathematical reasoning performance on benchmarks like AIME and HMMT across various model scales. The findings highlight a critical dependency on model size for accuracy gains while demonstrating consistent reductions in output truncation.
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DualOPSD: Adaptive Privileged Teachers for On-Policy Self-Distillation

arXiv2 min read

arXiv:2608.26019v1 Announce Type: cross Abstract: On-policy self-distillation (OPSD) uses a privileged copy of the student model to provide dense supervision without an external teacher. OPSD keeps this privileged teacher fixed, even though the student distribution and output style change during training. We propose DualOPSD, an asymmetric alternating framework that adapts both policies. The student first learns from the privileged teacher. The teacher then moves toward the updated student distribution on the same student trajectory. This update makes later supervision responsive to the learner and does not require another rollout. On Qwen3-8B in non-thinking mode, DualOPSD improves avg@12 over OPSD by 23.61, 13.89, and 10.00 points on AIME 2024, AIME 2025, and HMMT 2025. Results at 1.7B and 4B show that the accuracy gain depends on model scale. Across all three scales, DualOPSD reduces truncation. The 4B diagnostic also shows lower KL in both directions between the teacher and student.

Abstract:On-policy self-distillation (OPSD) uses a privileged copy of the student model to provide dense supervision without an external teacher. OPSD keeps this privileged teacher fixed, even though the student distribution and output style change during training. We propose DualOPSD, an asymmetric alternating framework that adapts both policies. The student first learns from the privileged teacher. The teacher then moves toward the updated student distribution on the same student trajectory. This update makes later supervision responsive to the learner and does not require another rollout. On Qwen3-8B in non-thinking mode, DualOPSD improves avg@12 over OPSD by 23.61, 13.89, and 10.00 points on AIME 2024, AIME 2025, and HMMT 2025. Results at 1.7B and 4B show that the accuracy gain depends on model scale. Across all three scales, DualOPSD reduces truncation. The 4B diagnostic also shows lower KL in both directions between the teacher and student.

Machine Learning (cs.LG); Artificial Intelligence (cs.AI)

arXiv:2608.26019 [cs.LG]

(or arXiv:2608.26019v1 [cs.LG] for this version)

https://doi.org/10.48550/arXiv.2608.26019 Focus to learn more arXiv-issued DOI via DataCite (pending registration)

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