ResearchResearch paperReinforcement Learning2 sources · Oct 9, 2026

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.

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)

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