Reproduce “Asymmetric On-Policy Distillation: Bridging Exploitation and Imitation at the Token Level” on OpenResearch

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About this paper

Nan Jia, Haojin Yang, Xing Ma, Jiesong Lian, Shuailiang Zhang, Weipeng Zhang, Ke Zeng, Xunliang Cai and 1 more

AOPD extends on-policy distillation by reinforcing student-sampled tokens that a teacher favors and matching the teacher’s top-32 next-token distribution when feedback is non-positive. On Qwen3-8B-Base after 1,000 supervised fine-tuning steps, it reaches 43.13% average Pass@1 versus 34.79% for OPD across three math benchmarks. This is an aggregate result, not every metric.

Key insights

  • The method assigns different learning mechanisms to different token states: policy gradients exploit favorable student behavior, while forward KL repairs weak, ambiguous, or teacher-disfavored choices.
  • Probability-gap-based guidance avoids the heavy-tailed updates associated with log-probability advantages and helps prevent entropy collapse while preserving exploration.
  • Localized teacher correction can address an exploration black hole that global suppression methods leave unresolved, especially when the student has weak initialization.

Summary by alphaXiv.

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