titleDiffGate: Difficulty-Gated Teacher Guidance for On-Policy Distillation
authorsKarn Tiwari, Varnith Chordia, Prathosh A P
date2026-10-03
venuearXiv (preprint, not peer reviewed)
idarXiv:2610.04596
affiliationSnapchat Inc.
upvotes20 (Hugging Face Daily Papers, 2026-11-01)
linksabs pdf hf
abstractOn-policy distillation (OPD) has emerged as a widely used paradigm for post-training large language models, reducing the train--test mismatch of conventional distillation by supervising the student on its own generated trajectories. However, existing OPD objectives remain largely token-local and outcome-agnostic, optimizing teacher--student agreement at each prefix despite reasoning quality being determined at the trajectory level. Reinforcement learning with verifiable rewards (RLVR), particularly Group Relative Policy Optimization (GRPO), provides complementary outcome-level supervision but suffers from sparse rewards and coarse credit assignment. We show that OPD and RLVR exhibit complementary blind spots: teacher signals provide dense local guidance but are weakly aligned with rollout correctness, whereas group-relative rewards capture task success but provide coarse token-level credit and vanish on all-failure groups. We introduce DiffGate, an outcome-gated objective that combines GRPO with selective, bounded teacher guidance. Teacher supervision is applied only to failed trajectories, scaled by group difficulty, and smoothly bounded to prevent extreme teacher--student discrepancies from dominating optimization. The verifier therefore determines which trajectories receive teacher guidance, while the teacher provides dense token-level update directions within those trajectories. Across Qwen3-0.6B and Qwen3-1.7B students, DiffGate improves code avg@8 over matched GRPO by +1.7 and +1.8 points and pass@8 by +1.6 and +5.7 points, respectively. On mathematics, avg@8 remains within 0.5 points of GRPO while pass@8 improves by +1.1 and +3.9 points. Overall, DiffGate improves pass@8 across all four model--domain settings, demonstrating improved solution coverage under our evaluation protocol.

cite

@misc{tiwari2026diffgate,
  title={DiffGate: Difficulty-Gated Teacher Guidance for On-Policy Distillation},
  author={Karn Tiwari and Varnith Chordia and Prathosh A P},
  year={2026},
  eprint={2610.04596},
  archivePrefix={arXiv},
  url={https://arxiv.org/abs/2610.04596}
}