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Paper · arXiv

Teacher Should Think Ahead: Adaptive Continuations for Reliable On-Policy Distillation

On-policy distillation (OPD) is a promising approach for transferring knowledge between language models, where a student receives dense token-level supervision along its own generated trajectories. However, teacher supervision can be unreliable when conditioned on incomplete or low-quality student prefixes. We identify Teacher Uncertainty Contraction (TUC), a systematic phenomenon whereby the teacher's predictive uncertainty decreases as it continues from a student-generated prefix. We theoretically characterize this trade-off through a variance-bias decomposition of teacher-branch gradients, showing that uncertainty contraction reduces variance while teacher-student path divergence incre...

AuthorsJingang Zhou, Yuyi Zhou, Haiyang Guo et al.
Primary categorycs.LG
Published6 September 2026
Last updated at source6 September 2026
cs.LGcs.AI
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