Abstract
Reinforcement Learning with Verifiable Rewards (RLVR) and Reinforcement Learning from Internal Feedback (RLIF) often fail to benefit from test-time compute due to entropy collapse and the resulting loss of reasoning diversity. We show that this collapse is driven not by uniform entropy decay, but by premature overconfidence at a small number of structurally critical decision points. Based on a token-level analysis of GRPO-style policy optimization, we propose SCOPE (Structural Collapse-aware Optimization via Partial Entropy control), which assigns each generated token a redistribution score and applies selective KL regularization to only the top ∼ 5% of tokens under this score. Across model scales and architectures on math reasoning benchmarks, SCOPE consistently improves performance under both RLVR and RLIF settings, demonstrating that targeted entropy control at a vanishingly small subset of tokens is sufficient to sustain reasoning diversity and effective test-time scaling.
- Anthology ID:
- 2026.findings-acl.641
- Volume:
- Findings of the Association for Computational Linguistics: ACL 2026
- Month:
- July
- Year:
- 2026
- Address:
- San Diego, California, United States
- Editors:
- Maria Liakata, Viviane P. Moreira, Jiajun Zhang, David Jurgens
- Venue:
- Findings
- SIG:
- Publisher:
- Association for Computational Linguistics
- Note:
- Pages:
- 13134–13154
- Language:
- URL:
- https://aclanthology.org/2026.findings-acl.641/
- DOI:
- Bibkey:
- Cite (ACL):
- Jaeeun Jang, Hansle Lee, and Sangmin Kim. 2026. A Few Bad Apples Spoil the Bunch: Preventing Global Entropy Collapse Driven by a Small Set of Tokens in LLM Reasoning. In Findings of the Association for Computational Linguistics: ACL 2026, pages 13134–13154, San Diego, California, United States. Association for Computational Linguistics.
- Cite (Informal):
- A Few Bad Apples Spoil the Bunch: Preventing Global Entropy Collapse Driven by a Small Set of Tokens in LLM Reasoning (Jang et al., Findings 2026)
- Copy Citation:
- PDF:
- https://aclanthology.org/2026.findings-acl.641.pdf
- Checklist:
- 2026.findings-acl.641.checklist.pdf





















