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Strong Teacher Not Needed? On Distillation in LLM Pretraining
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Systematically studies logit-level knowledge distillation during LLM pretraining across teacher-student pairs varying in architecture size and training tokens, finding weak teachers can help and stronger teachers can saturate or reverse gains.
Problem
Knowledge distillation is assumed to require a strong-to-weak teacher-student relationship where stronger teachers yield better students; this has not been systematically tested for LLM pretraining across architecture sizes and token budgets.
Approach
Vary teacher architecture size (0.7B to 8.0B) and training tokens (10B to 300B) against a fixed student budget to create strong-to-weak, same-level, and weak-to-strong relationships, and tune the mixing coefficient between LM and forward-KL distillation losses to measure distillation gains.
Key results
- Even teachers weaker than the student help: the 0.7B teacher at 30B tokens yields +1.3% downstream accuracy for a 1.7B student trained on 50B tokens.
- At 300B tokens, the 1.7B teacher gives +4.3% downstream accuracy vs +3.5% for 3.8B and +2.8% for 8.0B teachers, so stronger teachers can underperform.
- The 8.0B teacher's downstream gain peaks at 30B tokens (+4.3%) and declines to +2.8% at 300B tokens.
Surprising findings
- Same-level distillation (same architecture and tokens, different seed) improves the student across all metrics (+1.0% in-domain ppl, +3.5% OOD ppl, +1.5% downstream acc).
- Teacher train loss is a misleading proxy: smaller teachers with higher train loss can yield better OOD and downstream improvements than larger teachers with lower loss.
Limitations
- Single model family (Llama3-style architectures) and a single pretraining corpus (FineWeb-Edu).
- Student fixed at 50B tokens in main experiments; gains measured relative to a single baseline per student size.
- Downstream accuracy is noisier than perplexity trends, and improvements are small in absolute terms (often a few percent).
Experimental setup
Datasets: FineWeb-Edu Wikitext-103 C4 GSM8K DM Mathematics HumanEval CodeSearchNet arXiv CNN-DailyMail ECHR PubMedQA XQuAD
Benchmarks: FineWeb-Edu held-out perplexity 11 OOD corpora perplexity MMLU ARC-Easy SciQ OpenBookQA MathQA TruthfulQA ANLI-R1 CommonsenseQA HellaSwag PIQA
Metrics: perplexity accuracy percentage improvement over baseline
Baselines: standard LM pretraining baseline (alpha=0) pure distillation (alpha=1.0)
Builds on: knowledge distillation (Hinton et al.) Born-Again Networks Llama 3
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