arXiv Computation and Language By Siyang Lyu, Xinghao Chen, Zhijing Sun, Tong Liu, Dawei Zhu, Xiaoyu Shen

When Compression Helps and When It Hurts: Condition-Aware Analysis of Chain-of-Thought Distillation

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The paper studies how to compress Chain-of-Thought (CoT) reasoning traces for smaller models. It examines three compression dimensions—importance criterion, restructuring level, and compression budget—across Math and General domains and Long/Short CoT regimes. Findings show that step-level pruning works best for shared reasoning backbones, token-level pruning needs symbol-aware signals, domain-specific restructuring effects differ, and training-time compression may not reduce inference cost, especially for Long-CoT students.

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arXiv AI
3d ago

Zipping the Thought: When and How Compressed Reasoning Data Works in LLM Post-Training

The paper investigates how different forms of compressed chain‑of‑thought (CoT) reasoning—Explicit, Composed, and Implicit—affect large language model (LLM) performance after supervised fine‑tuning (SFT). Using a synthetic compositional reasoning task, the authors show that coarser CoT requires more SFT data, that Composed and Implicit CoT benefit more from data scaling (with Composed also benefiting from repetition), and that reinforcement learning with verifiable rewards (RLVR) can decompose compressed steps learned during SFT. Additionally, unidirectional CoT ordering improves generalization on longer sequential tasks.

By Kohsei Matsutani, Gouki Minegishi, Takeshi Kojima, Yusuke Iwasawa, Yutaka Matsuo