Distillation Traps and Guards: A Calibration Knob for LLM Distillability

Fuente: arXiv
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Main Authors: Zhan, Weixiao, Jing, Yongcheng, Rutkowski, Leszek, Tao, Dacheng
Format: Preprint
Published: 2026
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author Zhan, Weixiao
Jing, Yongcheng
Rutkowski, Leszek
Tao, Dacheng
author_facet Zhan, Weixiao
Jing, Yongcheng
Rutkowski, Leszek
Tao, Dacheng
contents Knowledge distillation (KD) transfers capabilities from large language models (LLMs) to smaller students, yet it can fail unpredictably and also underpins model leakage risks. Our analysis revealed several distillation traps: tail noise, off-policy instability, and, most fundamentally, the teacher-student gap, that distort training signals. These traps manifest as overconfident hallucinations, self-correction collapse, and local decoding degradation, causing distillation to fail. Motivated by these findings, we propose a post-hoc calibration method that, to the best of our knowledge, for the first time enables control over a teacher's distillability via reinforcement fine-tuning (RFT). Our objective combines task utility, KL anchor, and across-tokenizer calibration reward. This makes distillability a practical safety lever for foundation models, connecting robust teacher-student transfer with deployment-aware model protection. Experiments across math, knowledge QA, and instruction-following tasks show that students distilled from distillable calibrated teachers outperform SFT and KD baselines, while undistillable calibrated teachers retain their task performance but cause distilled students to collapse, offering a practical knob for both better KD and model IP protection.
format Preprint
id arxiv_https___arxiv_org_abs_2604_18963
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Distillation Traps and Guards: A Calibration Knob for LLM Distillability
Zhan, Weixiao
Jing, Yongcheng
Rutkowski, Leszek
Tao, Dacheng
Machine Learning
Artificial Intelligence
Knowledge distillation (KD) transfers capabilities from large language models (LLMs) to smaller students, yet it can fail unpredictably and also underpins model leakage risks. Our analysis revealed several distillation traps: tail noise, off-policy instability, and, most fundamentally, the teacher-student gap, that distort training signals. These traps manifest as overconfident hallucinations, self-correction collapse, and local decoding degradation, causing distillation to fail. Motivated by these findings, we propose a post-hoc calibration method that, to the best of our knowledge, for the first time enables control over a teacher's distillability via reinforcement fine-tuning (RFT). Our objective combines task utility, KL anchor, and across-tokenizer calibration reward. This makes distillability a practical safety lever for foundation models, connecting robust teacher-student transfer with deployment-aware model protection. Experiments across math, knowledge QA, and instruction-following tasks show that students distilled from distillable calibrated teachers outperform SFT and KD baselines, while undistillable calibrated teachers retain their task performance but cause distilled students to collapse, offering a practical knob for both better KD and model IP protection.
title Distillation Traps and Guards: A Calibration Knob for LLM Distillability
topic Machine Learning
Artificial Intelligence
url https://arxiv.org/abs/2604.18963