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Main Authors: Wang, Guanghui, Kacuila, Kaiwen Lv, Yang, Zhiyong, Wang, Zitai, Wu, Jin-Wen, Huang, Longtao, Xu, Qianqian, Huang, Qingming
Format: Preprint
Published: 2026
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Online Access:https://arxiv.org/abs/2605.26246
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author Wang, Guanghui
Kacuila, Kaiwen Lv
Yang, Zhiyong
Wang, Zitai
Wu, Jin-Wen
Huang, Longtao
Xu, Qianqian
Huang, Qingming
author_facet Wang, Guanghui
Kacuila, Kaiwen Lv
Yang, Zhiyong
Wang, Zitai
Wu, Jin-Wen
Huang, Longtao
Xu, Qianqian
Huang, Qingming
contents Knowledge distillation (KD) transfers knowledge from a large teacher model to a smaller student. In language modeling, the student is trained either on tokens sampled from the teacher (hard labels) or the teacher's full next-token distribution (soft labels). Despite soft labels appear strictly richer, we find that mixing hard and soft labels consistently yields better results. Crucially, we show that this gain cannot be explained by closer teacher matching during training. Instead, it comes from reduced exposure bias, the mismatch between training and inference distributions. To explain this phenomenon, we introduce the Bridge-Garden Decomposition theory, which categorizes generation steps into two types: Bridges, where the next token must be exact, and Gardens, where it can be flexible. We show that hard-only KD excels in Bridges by avoiding risky deviations, while soft-only KD preserves diversity in Gardens. A hybrid strategy handles both cases and, as a result, reduces exposure bias across the sequence. Guided by this theory, we develop a family of Bridge-Garden hybrid supervision methods that adaptively balance hard and soft labels. Across a primary suite of seven teacher-student pairs (including Qwen, Llama, Gemma, and DeepSeek) and benchmarks in reasoning and coding, our approach outperforms divergence-based and on-policy KD baselines while reducing training cost by 9.7x, enabling efficient model compression. Code is available at https://github.com/ghwang-s/bridge_garden_hybrid_kd_release.
format Preprint
id arxiv_https___arxiv_org_abs_2605_26246
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle The Bridge-Garden Dilemma in LLM Distillation: Why Mixing Hard and Soft Labels Works
Wang, Guanghui
Kacuila, Kaiwen Lv
Yang, Zhiyong
Wang, Zitai
Wu, Jin-Wen
Huang, Longtao
Xu, Qianqian
Huang, Qingming
Machine Learning
Knowledge distillation (KD) transfers knowledge from a large teacher model to a smaller student. In language modeling, the student is trained either on tokens sampled from the teacher (hard labels) or the teacher's full next-token distribution (soft labels). Despite soft labels appear strictly richer, we find that mixing hard and soft labels consistently yields better results. Crucially, we show that this gain cannot be explained by closer teacher matching during training. Instead, it comes from reduced exposure bias, the mismatch between training and inference distributions. To explain this phenomenon, we introduce the Bridge-Garden Decomposition theory, which categorizes generation steps into two types: Bridges, where the next token must be exact, and Gardens, where it can be flexible. We show that hard-only KD excels in Bridges by avoiding risky deviations, while soft-only KD preserves diversity in Gardens. A hybrid strategy handles both cases and, as a result, reduces exposure bias across the sequence. Guided by this theory, we develop a family of Bridge-Garden hybrid supervision methods that adaptively balance hard and soft labels. Across a primary suite of seven teacher-student pairs (including Qwen, Llama, Gemma, and DeepSeek) and benchmarks in reasoning and coding, our approach outperforms divergence-based and on-policy KD baselines while reducing training cost by 9.7x, enabling efficient model compression. Code is available at https://github.com/ghwang-s/bridge_garden_hybrid_kd_release.
title The Bridge-Garden Dilemma in LLM Distillation: Why Mixing Hard and Soft Labels Works
topic Machine Learning
url https://arxiv.org/abs/2605.26246