Demystifying Entropy-based Selection for Chain-of-Thought Compression in Large Reasoning Models

Sara Candussio, Daniel Scalena, Elisabetta Fersini, Luca Bortolussi, Malvina Nissim, Gabriele Sarti


Abstract
Entropy-based pruning has been proposed as an effective method for compressing Chain-of-Thought (CoT) reasoning with negligible accuracy loss. We test the robustness of low- and high-entropy CoT step selection methods across various models and reasoning tasks, showing that entropy offers no advantage over random pruning in any evaluated setting. Moving from steps to tokens, we then show that retaining low-entropy tokens seems effective only on mathematical benchmarks. We find this is due to the inherently low-entropy nature of numeric tokens, which also convey semantic content in such problems. Finally, we demonstrate that patching a subset of a few CoT tokens with their original activations recovers near-perfect full-trace performance, providing causal evidence that task information is not concentrated in a small set of CoT tokens identifiable by heuristics, but rather distributed across the full reasoning chain.
Anthology ID:
2026.blackboxnlp-1.59
Volume:
Proceedings of the 9th BlackboxNLP Workshop: Analyzing and Interpreting Neural Networks for NLP
Month:
October
Year:
2026
Address:
Budapest, Hungary
Editors:
Dana Arad, Yonatan Belinkov, Hanjie Chen, Nils Feldhus, Aaron Mueller, Hosein Mohebbi, Gabriele Sarti, Martin Tutek
Venues:
BlackboxNLP | WS
SIG:
Publisher:
Association for Computational Linguistics
Note:
Pages:
1047–1066
Language:
URL:
https://aclanthology.org/2026.blackboxnlp-1.59/
DOI:
Bibkey:
Cite (ACL):
Sara Candussio, Daniel Scalena, Elisabetta Fersini, Luca Bortolussi, Malvina Nissim, and Gabriele Sarti. 2026. Demystifying Entropy-based Selection for Chain-of-Thought Compression in Large Reasoning Models. In Proceedings of the 9th BlackboxNLP Workshop: Analyzing and Interpreting Neural Networks for NLP, pages 1047–1066, Budapest, Hungary. Association for Computational Linguistics.
Cite (Informal):
Demystifying Entropy-based Selection for Chain-of-Thought Compression in Large Reasoning Models (Candussio et al., BlackboxNLP 2026)
Copy Citation:
PDF:
https://aclanthology.org/2026.blackboxnlp-1.59.pdf