arXiv Machine Learning By Mingyu Yang, Sharath Turuvekere Sreenivas, Adithyakrishna Venkatesh Hanasoge, Nima Tajbakhsh, Ashwath Aithal, Pavlo Molchanov

CSD: Common-Support Distillation for Cross-Tokenizer Knowledge Transfer

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The paper introduces Common‑Support Distillation (CSD), a logits‑based framework for transferring knowledge across different tokenizers by constructing a shared support between teacher and student distributions. CSD handles both one‑to‑one alignments using explicit common‑token pairs and other alignments by creating a virtual support via the autoregressive chain rule, while a residual event ensures normalization. Experiments on Llama‑3.2‑1B, Gemma3‑1B‑PT, Qwen, and Phi models show that CSD consistently outperforms existing cross‑tokenizer methods, achieving up to 1.8‑point gains over the best alternative and surpassing both continued pretraining and same‑tokenizer distillation.

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