mlsanityData to 14 Oct 2026

MOPD-Router: Rethinking Teacher Routing in Multi-Teacher On-Policy Distillation

arXiv 2609.30837 ↗First posted 25 Sep 2026cs.LG cs.AIcited by 0

On the map: Knowledge distillation → On-policy and self-distillation for LLMs

Abstract (arXiv)

Multi-teacher on-policy distillation (MOPD) integrates specialized capabilities into a single student, but existing practice typically hard-routes each prompt to a domain-matched teacher for the entire rollout. This dependence on prompt-level domain labels restricts using unlabeled training mixtures and leaves complementary signals from other teachers unused. We introduce MOPD-Router, a framework that routes supervision over the full teacher pool at each token, without domain labels or training a separate routing model. Its plug-in interface supports different metrics for selecting and weighting teacher-specific OPD signals. Within this interface, we propose ExpertAlign, which scores each teacher by whether its correction to the student at the current token expresses the specialization that teacher acquired during post-training, and compare it against two reference metrics built on teacher confidence (Entropy) and teacher-student discrepancy (Novelty). Experiments on unlabeled and domain-labeled training mixtures under strong-to-weak and same-size distillation scenarios show that ExpertAlign achieves the strongest overall performance in all four settings. On unlabeled data, it improves the overall score by 5.88 (+12.3%) points over Mean aggregation; on domain-labeled data, it outperforms standard MOPD by 3.95 (+7.8%) points without using available domain labels. These results demonstrate token-level routing can exploit cross-domain complementary supervision, and reduce exclusive reliance on prompt-level domain assignment. Code is available at: https://github.com/TURLEing/MOPD-Router.

Key facts. No citing papers in the map yet (data through 14 Oct 2026). Placed in On-policy and self-distillation for LLMs, one of 12 directions in Knowledge distillation. Builds on 28 of its 35 references that are in the map. First posted on arXiv 25 Sep 2026.

Builds on

28 of 35 references.

Closest ancestors · 10

Same direction, newest first

  1. 2026Open-MOPD: Diagnosing and Fixing Capability Imbalance in Multi-Teacher On-Policy Distillation19 Aug
  2. 2026Weak-to-Strong Generalization via Direct On-Policy Distillation6 Jul
  3. 2026MOPD: Multi-Teacher On-Policy Distillation for Capability Integration in LLM Post-Training29 Jun
  4. 2026Not All Disagreement Is Learnable: Token Teachability in On-Policy Distillation26 May
  5. 2026TIP: Token Importance in On-Policy Distillation15 Apr
  6. 2026Rethinking On-Policy Distillation of Large Language Models: Phenomenology, Mechanism, and Recipe14 Apr
  7. 2026Nemotron-Cascade 2: Post-Training LLMs with Cascade RL and Multi-Domain On-Policy Distillation19 Mar
  8. 2026Entropy-Aware On-Policy Distillation of Language Models7 Mar
  9. 2026Learning beyond Teacher: Generalized On-Policy Distillation with Reward Extrapolation12 Feb
  10. 2026Self-Distilled Reasoner: On-Policy Self-Distillation for Large Language Models26 Jan

Other references · 18

  1. 2022Training language models to follow instructions with human feedbackcited by 15,971
  2. 2017Proximal Policy Optimization Algorithmscited by 15,215
  3. 2024DeepSeekMath: Pushing the Limits of Mathematical Reasoning in Open Language Modelscited by 9,379
  4. 2025Qwen3 Technical Reportcited by 8,820
  5. 2024LiveCodeBench: Holistic and Contamination Free Evaluation of Large Language Models for Codecited by 2,004
  6. 2023Is Your Code Generated by ChatGPT Really Correct? Rigorous Evaluation of Large Language Models for Code Generationcited by 1,391
  7. 2026DeepSeek-V4: Towards Highly Efficient Million-Token Context Intelligencecited by 1,040
  8. 2023On-Policy Distillation of Language Models: Learning from Self-Generated Mistakescited by 939
  9. 2026GLM-5: from Vibe Coding to Agentic Engineeringcited by 587
  10. 2025Beyond the 80/20 Rule: High-Entropy Minority Tokens Drive Effective Reinforcement Learning for LLM Reasoningcited by 559
  11. 2025Process Reinforcement through Implicit Rewardscited by 504
  12. 2025DeepMath-103K: A Large-Scale, Challenging, Decontaminated, and Verifiable Mathematical Dataset for Advancing Reasoningcited by 280
6 more
  1. 2025Reinforcement Learning Optimization for Large-Scale Learning: An Efficient and User-Friendly Scaling Librarycited by 101
  2. 2025Maximizing Confidence Alone Improves Reasoningcited by 100
  3. 2025Nemotron-Cascade: Scaling Cascaded Reinforcement Learning for General-Purpose Reasoning Modelscited by 48
  4. 2026Nemotron 3 Ultra: Open, Efficient Mixture-of-Experts Hybrid Mamba-Transformer Model for Agentic Reasoningcited by 42
  5. 2026H-OPD: Confidence Aware Heterogeneous Multi-Teacher Multimodal On-policy Distillationcited by 9
  6. 2025Replay Failures as Successes: Sample-Efficient Reinforcement Learning for Instruction Followingcited by 8

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  3. 2026No Pain, More Gain: Iterative Merging for Effective Multi-Teacher On-Policy Distillation
  4. 2026Distill What You Trust: Reliability-Aware Multi-Teacher On-Policy Distillation
  5. 2026Rethinking Self-Distillation for Multi-Teacher Capability Merging
  6. 2026From Gradients to Capabilities: Understanding Multi-Teacher On-Policy Distillation
  7. 2026Latent-MOPD: Latent Multi-Teacher On-Policy Distillation
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