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Paper · arXiv

Not Every Rollout Needs Distillation: Correctness-Filtered On-Policy Self-Distillation

On-policy self-distillation (OPSD) supervises student-generated trajectories with a reference-conditioned version of the same base model. We ask whether every trajectory supplies distinct supervision that warrants its distillation cost. Gradient measurements on Qwen3-1.7B at initialization reveal that correct and incorrect responses have similar individual gradient magnitudes, but incorrect responses have approximately three times the coherent gradient share. Their estimated population-mean directions also largely overlap. A signal--noise model fitted at a small group size tracks alignment at larger group sizes without refitting. Motivated by these measurements, we introduce correctness-f...

AuthorsHarrison Zhao, Lei Huang, Fei Liu et al.
Primary categorycs.AI
Published19 October 2026
Last updated at source19 October 2026
cs.AI
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