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Main Authors: Dhakal, Manish, Jinadu, Uthman, Budathoki, Anjila, Sunderraman, Rajshekhar, Ding, Yi
Format: Preprint
Published: 2026
Subjects:
Online Access:https://arxiv.org/abs/2602.13567
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author Dhakal, Manish
Jinadu, Uthman
Budathoki, Anjila
Sunderraman, Rajshekhar
Ding, Yi
author_facet Dhakal, Manish
Jinadu, Uthman
Budathoki, Anjila
Sunderraman, Rajshekhar
Ding, Yi
contents Standard Knowledge Distillation (KD) compresses Large Language Models (LLMs) by optimizing final outputs, yet it typically treats the teacher's intermediate layer's thought process as a black box. While feature-based distillation attempts to bridge this gap, existing methods (e.g., MSE and asymmetric KL divergence) ignore the rich uncertainty profiles required for the final output. In this paper, we introduce DistillLens, a framework that symmetrically aligns the evolving thought processes of student and teacher models. By projecting intermediate hidden states into the vocabulary space via the Logit Lens, we enforce structural alignment using a symmetric divergence objective. Our analysis proves that this constraint imposes a dual-sided penalty, preventing both overconfidence and underconfidence while preserving the high-entropy information conduits essential for final deduction. Extensive experiments on GPT-2 and Llama architectures demonstrate that DistillLens consistently outperforms standard KD and feature-transfer baselines on diverse instruction-following benchmarks. The code is available at https://github.com/manishdhakal/DistillLens.
format Preprint
id arxiv_https___arxiv_org_abs_2602_13567
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle DistillLens: Symmetric Knowledge Distillation Through Logit Lens
Dhakal, Manish
Jinadu, Uthman
Budathoki, Anjila
Sunderraman, Rajshekhar
Ding, Yi
Computation and Language
Standard Knowledge Distillation (KD) compresses Large Language Models (LLMs) by optimizing final outputs, yet it typically treats the teacher's intermediate layer's thought process as a black box. While feature-based distillation attempts to bridge this gap, existing methods (e.g., MSE and asymmetric KL divergence) ignore the rich uncertainty profiles required for the final output. In this paper, we introduce DistillLens, a framework that symmetrically aligns the evolving thought processes of student and teacher models. By projecting intermediate hidden states into the vocabulary space via the Logit Lens, we enforce structural alignment using a symmetric divergence objective. Our analysis proves that this constraint imposes a dual-sided penalty, preventing both overconfidence and underconfidence while preserving the high-entropy information conduits essential for final deduction. Extensive experiments on GPT-2 and Llama architectures demonstrate that DistillLens consistently outperforms standard KD and feature-transfer baselines on diverse instruction-following benchmarks. The code is available at https://github.com/manishdhakal/DistillLens.
title DistillLens: Symmetric Knowledge Distillation Through Logit Lens
topic Computation and Language
url https://arxiv.org/abs/2602.13567