Open-MOPD: Diagnosing and Fixing Capability Imbalance in Multi-Teacher On-Policy Distillation
Summary
The paper introduces Open-MOPD, a framework that diagnoses and fixes capability imbalance in multi-teacher on-policy distillation by balancing token-level budgets, improving headroom recovery from 35.6% to 83.4% through dynamic allocation and reward refresh.
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Paper page - Open-MOPD: Diagnosing and Fixing Capability Imbalance in Multi-Teacher On-Policy Distillation
Source: https://huggingface.co/papers/2608.19098
Abstract
Multi-teacher on-policy distillation suffers from token-level budget misallocation across domains, which is addressed by balancing, dynamic allocation, and reward refresh to recover most of the oracle ensemble’s capability.
Multi-teacher on-policy distillation(M-OPD) has emerged as a promising paradigm for consolidating domain-specializedreinforcement learning(RL) experts into a single generalist student via dense,token-level reward supervision. Despite its practical success, the optimization dynamics governing multi-teachercapability integrationremain poorly understood, and open, rigorously reproducible recipes are conspicuously lacking. In this work, we establish a controlled M-OPD benchmark on SmolLM3-3B-Base with oracle routing, isolatingcapability integrationfrom routing ambiguity. Our investigation reveals a pronouncedcapability integrationgap: standard M-OPD captures only 35.6% of the available headroom relative to a domain-routed oracle ensemble, with concise tasks such as instruction following suffering severe degradation and premature stagnation. Crucially, we show that this failure stems not fromgradient conflict, but from a severe misallocation of the token-level optimization budget. This pathology is driven by three orthogonal factors: structural sequence-length disparities across domains, dynamic convergence drift due to non-uniform learning rates, and multi-step reward staleness from asynchronous policy updates. To resolve these imbalances, we introduce Open-MOPD, a principled framework incorporatingtoken-share balancing,gap-aware dynamic budget allocation, andstudent reward refresh. Together, these mechanisms systematically restore cross-domain balance, elevating headroom recovery from 35.6% to 83.4% in a single deployable student. We fully open-source our end-to-end post-training recipe, training trajectories, and evaluation suites on an academically accessible hardware budget.
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