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Paper · arXiv

Self-Distillation with Verbal Regularization

On-policy self-distillation (OPSD) trains a large language model using supervision from a teacher instantiated from the same model as the student. The teacher is conditioned on privileged information (PI), such as verified solutions. The student, which does not observe PI, learns from the teacher's next-token distributions along its own sampled responses. However, PI can bias supervision toward shortcut reasoning with limited verification or reconsideration, accompanied by a sharp drop in the entropy of the output distribution. To address this challenge, we introduce self-distillation with verbal regularization (VRSD), which uses system prompts to regulate how the teacher uses PI, thereby...

AuthorsJiazheng Li, Yawei Li, Junru Lu et al.
Primary categorycs.CL
Published12 October 2026
Last updated at source12 October 2026
cs.CL
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