arXiv — Machine Learning · · 3 min read

K2P: Label-Free Knowledge to Prompt Distillation

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Computer Science > Machine Learning

arXiv:2609.38898 (cs)
[Submitted on 30 Sep 2026]

Title:K2P: Label-Free Knowledge to Prompt Distillation

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Abstract:Knowledge distillation can transfer reasoning from stronger teachers to frozen students through reusable prompts, but avoiding weight updates does not eliminate supervision. Without ground-truth answers, teacher solutions are unverified, and agreement with the teacher can reward shared mistakes. We introduce Knowledge-to-Prompt (K2P) for label-free knowledge distillation to prompts. K2P synthesizes reusable instructions from teacher solutions, refines them using paired teacher and student responses, and guides search and selection with answer agreement. It retains candidates that adaptive search may undervalue and selects on reserved questions. Deployment uses only the frozen student and selected prompt. Our theory separates generation and selection gaps and gives conditions under which agreement-guided construction yields accuracy guarantees despite imperfect teacher references. Across reasoning tasks and students, K2P outperforms label-free alternatives overall and remains competitive with supervised prompt optimization. Ablations and archive diagnostics assess the contributions of teacher solutions and refinement, while revealing the limits of agreement-guided selection.
Comments: 66 pages, 5 figures
Subjects: Machine Learning (cs.LG); Computation and Language (cs.CL)
Cite as: arXiv:2609.38898 [cs.LG]
  (or arXiv:2609.38898v1 [cs.LG] for this version)
  https://doi.org/10.48550/arXiv.2609.38898
arXiv-issued DOI via DataCite (pending registration)

Submission history

From: Yingchuan Zhang [view email]
[v1] Wed, 30 Sep 2026 03:45:19 UTC (2,803 KB)
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