arXiv — Machine Learning · · 3 min read

REOPD: Reliability-Adaptive Reward Extrapolation for On-Policy Distillation

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Computer Science > Machine Learning

arXiv:2608.11698 (cs)
[Submitted on 12 Aug 2026]

Title:REOPD: Reliability-Adaptive Reward Extrapolation for On-Policy Distillation

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Abstract:On-policy distillation (OPD) trains a student on its own trajectories under dense token-level supervision from a teacher. Reward-extrapolation methods such as ExOPD amplify the teacher-reference log-likelihood ratio to move beyond direct imitation, but apply a single global coefficient $\lambda$ to every token. This can drive the student to fit extreme peaks in the implicit reward, causing reward hacking and unstable training, and the optimal $\lambda$ varies across domains, requiring costly sweeps. We propose REOPD, a reliability-adaptive reward extrapolation framework for OPD. REOPD combines a token-level compatibility weight with a batch-level adaptive budget, yielding a token-wise coefficient $\lambda_{b,t}=1+\gamma_b q_t$ that preserves teacher alignment while selectively extrapolating along reliable teacher-reference directions. It requires no verifier, reward model, value model, or extra rollout beyond standard OPD. REOPD outperforms G-OPD on single-teacher mathematics and on both domains in the multi-teacher setting, while matching G-OPD on single-teacher code, demonstrating effective fine-grained reliability adaptation across domains and teacher configurations.
Subjects: Machine Learning (cs.LG); Artificial Intelligence (cs.AI)
Cite as: arXiv:2608.11698 [cs.LG]
  (or arXiv:2608.11698v1 [cs.LG] for this version)
  https://doi.org/10.48550/arXiv.2608.11698
arXiv-issued DOI via DataCite (pending registration)

Submission history

From: Yang Sun [view email]
[v1] Wed, 12 Aug 2026 06:15:33 UTC (429 KB)
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