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Paper · arXiv

Rethinking Reverse KL as Adaptive Entropy Distillation

Knowledge distillation (KD) is widely used to transfer the capabilities of large language models (LLMs) to smaller students, but existing objectives often struggle to balance faithful imitation and robust generation. In particular, existing methods mainly combine FKL and RKL, overlooking that RKL itself provides a mechanism for adjusting the student's imitation strength. Motivated by this, we revisit on-policy Reverse Kullback-Leibler (RKL) distillation and decompose its objective into a teacher-fitting term and a student-entropy term, without introducing an explicit FKL branch. We show theoretically that the token-level optimal student distribution corresponds to a tempered variant of th...

AuthorsShizhen Li, Zhiyu Shen, Yuyin Lu et al.
Primary categorycs.LG
Published5 August 2026
Last updated at source24 August 2026
cs.LGstat.ML
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