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Multilingual Chain-of-Thought Compression via Cross-Lingual Distillation

Paper · 2026 · Jiarui Wan, Songming Zhang and Yufeng Chen

Summary

Chain-of-thought (CoT) reasoning models often produce long, redundant traces. Existing compression techniques are tuned mostly on English. In other languages they either shorten outputs very little or cost accuracy, and low-resource languages suffer most. The authors propose MCD (Multilingual Chain-of-thought Compression via Cross-lingual Distillation), which addresses both data and training. They build a corpus from DeepMath-103K in German, French, Japanese, Russian and Chinese. Qwen3.5-27B translates each problem while solving it, and only items whose answer matches the ground truth are kept. Stratified sampling preserves the AoPS difficulty profile per language. The same model then rewrites traces into shorter versions that must still lead to the correct answer. Qwen3 student models are first fine-tuned on these compressed traces (SFT) and then trained with DPO to favour brief over verbose reasoning. On MGSM and MMATH, MCD cuts output length while keeping accuracy close to the original. It is notably more stable for Bengali, Swahili and Telugu, which supports cheaper and more equitable multilingual reasoning.

Key points

  • Motivating gap. The SFT-based SEER baseline on Qwen3-4B (MGSM) shows how unevenly English-centric compression transfers:
    • English: average tokens fall from 2126 to 1660.
    • Bengali: tokens fall only from 2645 to 2486, with an accuracy drop of 3.20 points.
    • Swahili: tokens fall only from 4371 to 4194.
  • Data pipeline. Translation-with-verification uses rejection sampling against the ground truth, and difficulty-aware stratified sampling follows the AoPS levels. Each final record holds the problem, difficulty, compressed trace, original trace, answer and ground truth.
  • Setup. The backbones are Qwen3-1.7B, Qwen3-4B and Qwen3-8B. SEER is the baseline, and SFT-Only and DPO-Only serve as ablations. Evaluation covers MGSM and MMATH.
  • Ablations.
    • SFT-Only compresses strongly but loses accuracy, especially in Swahili, Telugu and Bengali.
    • DPO-Only keeps accuracy but barely shortens outputs.
    • Combining the two stages recovers most of the accuracy while retaining compression.
  • Adaptive behaviour. Savings are largest on easy problems and shrink as difficulty rises. At the hardest AoPS levels, MCD can match or slightly exceed the original token count, indicating it keeps reasoning depth where the problem requires it.

Our summary of the paper, in our own words — not its text. The work belongs to its authors; read it at the links above.

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Cite

Cite as Jiarui Wan, Songming Zhang and Yufeng Chen. 2026. Multilingual Chain-of-Thought Compression via Cross-Lingual Distillation. Proceedings of the 1st Workshop on Multilinguality in the Era of Large Language Models (MeLLM 2026).

The paper itself, not this page. BibTeX from the library's record of the work. DOI 10.18653/v1/2026.mellm-1.8

@inproceedings{wan2026multilingual,
  title = {{Multilingual Chain-of-Thought Compression via Cross-Lingual Distillation}},
  author = {Jiarui Wan, Songming Zhang and Yufeng Chen},
  booktitle = {Proceedings of the 1st Workshop on Multilinguality in the Era of Large Language Models (MeLLM 2026)},
  year = {2026},
  doi = {10.18653/v1/2026.mellm-1.8},
  url = {https://doi.org/10.18653/v1/2026.mellm-1.8}
}

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