Rethinking Relative Policy Differences Transfer of On-Policy Distillation
We develop a unified view in which the log-probability ratio between a proxy expert and a proxy reference defines an implicit reward for KL-regularized policy optimization.

ProofPaper ↗
Key points
- On-policy distillation (OPD) trains a target policy on its own rollouts using token-level supervision from a stronger teacher, but typically relies on the teacher being substantially more capable than the target.
- Recent work relaxes this requirement by transferring the relative policy difference between an expert and a reference policy rather than the expert's absolute distribution.
- First, a stronger expert is not necessarily a better source of supervision: differences induced by task-specific training, including reinforcement learning and supervised fine-tuning, transfer consistently, whereas those arising from model scale alone transfer weakly or not at all.
- These results characterize when relative policy differences provide effective supervision for OPD.
Sources (2)
- [1]Rethinking Relative Policy Differences Transfer of On-Policy DistillationarXiv (AI, ML, NLP, CV, robotics, multi-agent) · Oct 9, 08:24 AM
We develop a unified view in which the log-probability ratio between a proxy expert and a proxy reference defines an implicit reward for KL-regularized policy optimization.
On-policy distillation (OPD) trains a target policy on its own rollouts using token-level supervision from a stronger teacher, but typically relies on the teacher being substantially more capable than the target.
- [2]Rethinking Relative Policy Differences Transfer of On-Policy DistillationHugging Face Daily Papers · Oct 9, 12:00 AM · same content
Extractive summary: sentences quoted from the sources.
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