titleTrust Region Policy Distillation
authorsZhengpeng Xie, Li Lyna Zhang, Zeke Xie, Mao Yang
date2026-07-06
venuearXiv (preprint, not peer reviewed)
idarXiv:2607.04751
affiliationHKUSTGZ
upvotes34 (Hugging Face Daily Papers, 2026-11-01)
linksabs pdf hf
abstractBig goals are hard to achieve all at once; breaking them into small steps is wiser. We present Trust Region Policy Distillation (TOP-D), which transforms the notoriously unstable, high-variance On-Policy Distillation (OPD) into a stable training paradigm by dynamically constructing a proximal teacher. Theoretically, we establish a rigorous framework demonstrating that TOP-D inherently controls gradient variance. By providing a formal global convergence analysis alongside a monotonic improvement bound, we mathematically formalize the reliability and stability of the overall training dynamics. Empirically, TOP-D dramatically enhances training stability, sample efficiency, and final performance on mathematical reasoning tasks. More importantly, TOP-D introduces zero additional computational overhead, positioning itself as a promising alternative to the well-established OPD paradigm.

cite

@misc{xie2026trust,
  title={Trust Region Policy Distillation},
  author={Zhengpeng Xie and Li Lyna Zhang and Zeke Xie and Mao Yang},
  year={2026},
  eprint={2607.04751},
  archivePrefix={arXiv},
  url={https://arxiv.org/abs/2607.04751}
}