Self-Distillation with Verbal Regularization

Hugging Face Daily Papers Papers

Summary

论文提出VRSD(verbal regularization self-distillation),通过系统提示调节teacher对特权信息的使用,抑制on-policy自蒸馏中的捷径推理与熵坍缩,在11/12个模型-任务设置上平均提升Pass@1达3.9个百分点。

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 encouraging rethinking and exploration to counteract premature commitment. Theoretically, we model prompting as attenuating the influence of PI on the teacher distribution and derive conditions for entropy preservation. Across three models and four tasks, VRSD improves Pass@1 over OPSD in 11 of 12 model-task settings, by 3.9 percentage points on average, while generally maintaining higher token entropy.
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Paper page - Self-Distillation with Verbal Regularization

Source: https://huggingface.co/papers/2610.16354 Published on Oct 12

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Submitted byhttps://huggingface.co/jiazhengli

J Lion Oct 14

Abstract

On-policyself-distillation(OPSD)trainsalargelanguagemodelusingsupervisionfromateacherinstantiatedfromthesamemodelasthestudent.Theteacherisconditionedonprivilegedinformation(PI),suchasverifiedsolutions.Thestudent,whichdoesnotobservePI,learnsfromtheteacher’snext-tokendistributionsalongitsownsampledresponses.However,PIcanbiassupervisiontowardshortcutreasoningwithlimitedverificationorreconsideration,accompaniedbyasharpdropintheentropyoftheoutputdistribution.Toaddressthischallenge,weintroduceself-distillationwithverbalregularization(VRSD),whichusessystempromptstoregulatehowtheteacherusesPI,therebyencouragingrethinkingandexplorationtocounteractprematurecommitment.Theoretically,wemodelpromptingasattenuatingtheinfluenceofPIontheteacherdistributionandderiveconditionsforentropypreservation.Acrossthreemodelsandfourtasks,VRSDimprovesPass@1overOPSDin11of12model-tasksettings,by3.9percentagepointsonaverage,whilegenerallymaintaininghighertokenentropy.

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