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TECHPULSE TAKE: This research introduces STEPS, a selective on-policy self-distillation framework that optimizes reasoning training by targeting only critical token spans rather than applying uniform guidance. By dynamically switching between forward and reverse KL divergence based on error locations before transitioning to pure GRPO, the method achieves significant accuracy gains on math benchmarks while reducing unnecessary constraints on non-critical tokens. The approach demonstrates that brief, targeted self-distillation serves as an efficient complement to reward-driven training pipelines for advanced language models.
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STEPS: Selective On-Policy Self-Distillation for Reasoning

arXiv2 min read

arXiv:2605.10194v2 Announce Type: replace Abstract: On-policy self-distillation (OPSD) uses a model as its own teacher under privileged context, providing token-level supervision on the model's own reasoning trajectories. However, persistent all-token guidance can degrade training in our math RL setting. Such guidance may unnecessarily constrain non-critical tokens and reinforce biases induced by privileged information unavailable at inference. Motivated by these risks, we propose STEPS, a selective OPSD framework that controls the location, direction, and duration of distillation. STEPS identifies critical spans in student rollouts, applies forward KL to key spans or reverse KL to error spans, and gradually transitions to pure GRPO after a short distillation phase. Across four models from three families, STEPS improves mean accuracy over GRPO. On Qwen3-8B, it raises average accuracy across four math benchmarks and GPQA-Diamond by an absolute 2.76% with a strong annotator. Using the training policy as its own annotator yields an absolute mean gain of 1.90%, with an estimated 2.7% training-time overhead amortized over 300 steps. Controlled ablations support semantic span selection, class-specific KL directions, and the hand-off to GRPO. Together, these results support brief, targeted self-distillation as an efficient complement to reward-driven reasoning training.

Abstract:On-policy self-distillation (OPSD) uses a model as its own teacher under privileged context, providing token-level supervision on the model's own reasoning trajectories. However, persistent all-token guidance can degrade training in our math RL setting. Such guidance may unnecessarily constrain non-critical tokens and reinforce biases induced by privileged information unavailable at inference. Motivated by these risks, we propose STEPS, a selective OPSD framework that controls the location, direction, and duration of distillation. STEPS identifies critical spans in student rollouts, applies forward KL to key spans or reverse KL to error spans, and gradually transitions to pure GRPO after a short distillation phase. Across four models from three families, STEPS improves mean accuracy over GRPO. On Qwen3-8B, it raises average accuracy across four math benchmarks and GPQA-Diamond by an absolute 2.76% with a strong annotator. Using the training policy as its own annotator yields an absolute mean gain of 1.90%, with an estimated 2.7% training-time overhead amortized over 300 steps. Controlled ablations support semantic span selection, class-specific KL directions, and the hand-off to GRPO. Together, these results support brief, targeted self-distillation as an efficient complement to reward-driven reasoning training.

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

arXiv:2605.10194 [cs.AI]

(or arXiv:2605.10194v2 [cs.AI] for this version)

https://doi.org/10.48550/arXiv.2605.10194 Focus to learn more arXiv-issued DOI via DataCite

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Full text under the publisher's open licence · 282 words

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