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Predicting Privileged Information Effectiveness for On-Policy Self-Distillation

On-policy self-distillation (OPSD) enables large language models (LLMs) to learn from privileged information (PI) without a separate teacher model. However, prior work largely treats PI as a fixed design choice, leaving the effects of its content and construction poorly understood. This challenge is particularly important in multi-turn agentic settings, where trajectories contain actions, observations, and reasoning that can be transformed into PI in many ways. We systematically evaluate 16 PI configurations across three multi-turn agentic benchmarks and three student models that vary in scale and reasoning mode. We find that PI effectiveness depends on its content, generation source, and...

AuthorsKaijian Zou, Emiliano Penaloza, MohammadHossein Rezaei et al.
Primary categorycs.LG
Published15 October 2026
Last updated at source15 October 2026
cs.LG
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