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Verify Before You Distill: Prompt-Level Teacher Gating for On-Policy Distillation

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Papers
arxiv:2609.02998

Verify Before You Distill: Prompt-Level Teacher Gating for On-Policy Distillation

Published on Sep 2
· Submitted by
Fei Zhao
on Sep 8
Authors:
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Abstract

Teacher-Gated On-Policy Distillation verifies teacher reliability per prompt via verifier-scored probes, routing to dense distillation or verifier-grounded reinforcement learning to improve training efficiency and accuracy.

On-policy distillation (OPD) accelerates post-training by providing dense token-level supervision from a frozen teacher on the student's own rollouts. Vanilla OPD applies this supervision uniformly across prompts, without checking whether the teacher is reliable for each prompt. Because reverse KL is mode-seeking, a confidently wrong teacher can induce a strong yet misleading update. Distributional proxies, such as entropy or teacher-student likelihood agreement, measure uncertainty or agreement but do not directly verify outcome correctness. We introduce Teacher-Gated On-Policy Distillation (TGOPD), built on the principle that teacher reliability should be verified at the prompt level before dense supervision is admitted. TGOPD estimates reliability from a small set of verifier-scored teacher probes and routes each prompt exclusively to dense OPD when the reliability check passes or to verifier-grounded GRPO otherwise. Across 4B and 35B students in mathematics, code, and instruction following, TGOPD outperforms Vanilla OPD in all six single-domain settings and achieves higher seven-benchmark averages at both scales under multi-domain training. By using otherwise-idle teacher capacity for reliability estimation, TGOPD also reduces teacher-side compute waste in asynchronous OPD, increasing teacher-node GPU utilization from 9.8% to 78.9% in the measured 4B single-domain run.

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