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SEAD: Competence-Aware On-Policy Distillation via Entropy-Guided Supervision

NeurIPS 2026 · Label-efficient and robust learning › Knowledge distillation · approach: Rethinking distillation objectives · 0 citations (OpenAlex)

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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

Surprising findings

Limitations

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

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