titleRISE: Recursive Improvement via Self-Extrapolating Policy Distillation
authorsYang Li, Semih Yavuz, Shafiq Joty
date2026-09-04
venuearXiv (preprint, not peer reviewed)
idarXiv:2609.05295
affiliationSalesforce AI Research
upvotes18 (Hugging Face Daily Papers, 2026-11-01)
linksabs pdf hf
abstractOn-policy distillation (OPD) provides dense, per-token supervision for language model post-training, but its effectiveness is bottlenecked by teacher quality: external teachers suffer from distribution mismatch, while self-distillation with privileged conditioning is limited by in-context learning capacity. We propose RISE (Recursive Improvement via Self-Extrapolating Policy Distillation), which constructs a synthetic teacher directly from the model's own RLVR training trajectory. By extrapolating the displacement between the current checkpoint and a trailing anchor---in parameter space or output logit space---RISE converts a sparse outcome-induced parameter update into a dense token-level target, without any external model or privileged conditioning. RISE combines RLVR and OPD in a complementary loop: outcome rewards ground the extrapolation toward correct reasoning, while the extrapolated teacher refines token-level decisions. Moreover, since the teacher is refreshed every iteration as the student improves, distillation becomes a recursive improvement mechanism rather than a one-shot compression step. Experiments spanning mathematical reasoning, multi-domain STEM, code generation, and multi-turn agentic tasks show that RISE outperforms RLVR-only training and on-policy self-distillation across all settings.

cite

@misc{li2026rise,
  title={RISE: Recursive Improvement via Self-Extrapolating Policy Distillation},
  author={Yang Li and Semih Yavuz and Shafiq Joty},
  year={2026},
  eprint={2609.05295},
  archivePrefix={arXiv},
  url={https://arxiv.org/abs/2609.05295}
}