Research map / Label-efficient and robust learning / Knowledge distillation
SEAD: Competence-Aware On-Policy Distillation via Entropy-Guided Supervision
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Proposes SEAD, an entropy-guided on-policy distillation method that skips or reweights tokens by joint teacher-student entropy, anneals forward-to-reverse KL, and uses a competence-gated easy-to-hard prompt curriculum, improving math reasoning of a 7B OLMo student.
Problem
On-policy distillation applies supervision uniformly across tokens, training phases and prompts, although teacher supervision quality depends on the student's competence, wasting compute and producing noisy gradients.
Approach
Uses entropy as a unified probe of student competence at three scales: joint teacher-student entropy zones (skip, RKL, FKL), a cosine FKL-to-RKL annealing schedule, and a competence-gated prompt curriculum, which are claimed to be mutually necessary.
Key results
- On OLMo 7B student with 32B teacher, full SEAD reaches 64.0 average vs 59.2 for vanilla OPD (RKL) and 58.2 for the student across six math benchmarks.
- Token Zones combined with KL annealing reaches 63.7 average, a +4.5 jump over either component alone per the paper.
- On Nemotron 8B/49B, SEAD component variants reach at most 69.5 average, below GRPO's 69.3 only marginally and not clearly above vanilla OPD's 68.8 gain margin.
Surprising findings
- On the Nemotron pair, the best SEAD variant (69.5) barely exceeds GRPO (69.3), and the full SEAD method was not reported there.
- Token selection alone (Token Zones) hurts AIME25 relative to vanilla OPD in the ablation, with gains depending on the curriculum.
Limitations
- Curriculum relies on static difficulty scores from the initial student rather than adaptive re-estimation.
- Evaluated only on mathematical reasoning and two model families; long reasoning chains not fully investigated.
- Theoretical assumptions (modulated PL condition, low-entropy agreement) are stated rather than empirically verified, and some proof steps are informal.
Experimental setup
Datasets: DAPO-Math-17K
Benchmarks: MATH-500 Minerva-Math OlympiadBench AMC23 AIME24 AIME25
Metrics: Pass@1 accuracy Pass@32 average pass rate average accuracy
Baselines: GRPO OPD (RKL k=1) OPSD EOPD TIP
Builds on: GKD GRPO EOPD TIP DAPO-Math-17K
Closest papers by meaning
- Your Teacher Can’t Help You Here: Combating Supervision Fidelity Decay in On-Policy Distillation (NeurIPS 2026 · similarity 0.92)
- The Many Faces of On-Policy Distillation: Pitfalls, Mechanisms, and Fixes (NeurIPS 2026 · similarity 0.92)
- When Are Teacher Tokens Reliable? Position-Weighted On-Policy Self-Distillation for Reasoning (NeurIPS 2026 · similarity 0.91)
- Entropy-Aware On-Policy Distillation of Language Models (ICML 2026 · similarity 0.90)
- SimCT: Recovering Lost Supervision for Cross-Tokenizer On-Policy Distillation (NeurIPS 2026 · similarity 0.90)
- Distilling What Matters: Confidence-Aware Selective Distillation for Large Language Models (NeurIPS 2026 · similarity 0.89)
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