On-Policy Distillation Teaches New Skills but Not New Knowledge
On-policy distillation (OPD) strengthens language-model reasoning, yet whether students acquire new factual knowledge or compositional skill for multi-step reasoning remains unknown.
ProofPaper ↗
Key points
- We separate these capabilities using a controlled synthetic framework that measures the student's initial capabilities and independently controls the teacher's additional facts, compositional skill, or both.
- Across four models from three families, reverse-KL OPD reliably transfers compositional skill across unseen reasoning structures, but transfers minimal factual knowledge.
- Decoupling the distillation recipe reveals the source of this asymmetry: replacing reverse KL with forward KL restores factual transfer, whereas student rollouts specifically improve the execution of multi-step reasoning.
- Experiments on recent factual QA and competition mathematics show a similar asymmetry under reverse-KL OPD, yielding notable reasoning gains without factual memory expansion.
Sources (2)
- [1]On-Policy Distillation Teaches New Skills but Not New KnowledgeHugging Face Daily Papers · Oct 7, 12:00 AM
On-policy distillation (OPD) strengthens language-model reasoning, yet whether students acquire new factual knowledge or compositional skill for multi-step reasoning remains unknown.
We separate these capabilities using a controlled synthetic framework that measures the student's initial capabilities and independently controls the teacher's additional facts, compositional skill, or both.
- [2]On-Policy Distillation Teaches New Skills but Not New KnowledgearXiv (AI, ML, NLP, CV, robotics, multi-agent) · Oct 7, 08:15 AM · same content
Extractive summary: sentences quoted from the sources.
Before this
- Oct 6, 2026Self-Retrospection Distillation: Turning Post-hoc Experiences into Prior Foresight
- Oct 6, 2026VisionWeave: Weaving Elastic Visual Representations as a Native Capability of MLLMs
- Oct 6, 2026RISED: Rubrics for Agentic Multi-Environment Selection and Self-Distillation
- Oct 6, 2026Consistent Distribution Matching for Data-Free Diffusion Distillation
- Sep 29, 2026[AINews] AMD buys World Labs for $8.2B, as Atlas solves sparse reconstruction problem for robotics, design and more
- Aug 10, 2026huggingface/transformers v5.15.0: Release: v5.15.0