Diagnosing LLM Fragility: An Empirical Study on Reasoning Entropy and Malicious Outputs

Fabio Mercorio, Daniele Potertì, Andrea Seveso


Abstract
Chain-of-Thought prompting is increasingly relied upon as a safety monitoring surface: if a model reasons before acting, its trace can be inspected before harm occurs. Yet reasoning is a stochastic branching process rather than a deterministic, auditable path. We introduce Bifurcation Entropy (HBE), a step-level diagnostic metric that extends Kernel Language Entropy to intermediate reasoning steps, measuring the semantic breadth of a model’s next-step distribution at each point in the Chain-of-Thought. We deploy HBE via In-Distribution Attacks, a controlled probing instrument that injects the model’s own high-entropy continuations to test whether HBE predicts exploitability. Across five reasoning models in high-stakes blackmail scenarios, phrases in the top HBE quartile are exploited 6.2× more often than the lowest, with HBE-targeted probing inducing significantly more alignment failures than random selection. These results establish HBE as a principled probing signal that concentrates safety monitoring effort on the minority of reasoning steps that carry the majority of alignment risk.
Anthology ID:
2026.emnlp-main.1324
Volume:
Proceedings of the 2026 Conference on Empirical Methods in Natural Language Processing
Month:
October
Year:
2026
Address:
Budapest, Hungary
Editors:
Hung-Yi Lee, Sunipa Dev, Jessy Li, Desmond Elliott
Venue:
EMNLP
SIG:
SIGDAT
Publisher:
Association for Computational Linguistics
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Pages:
30166–30184
Language:
URL:
https://aclanthology.org/2026.emnlp-main.1324/
DOI:
Bibkey:
Cite (ACL):
Fabio Mercorio, Daniele Potertì, and Andrea Seveso. 2026. Diagnosing LLM Fragility: An Empirical Study on Reasoning Entropy and Malicious Outputs. In Proceedings of the 2026 Conference on Empirical Methods in Natural Language Processing, pages 30166–30184, Budapest, Hungary. Association for Computational Linguistics.
Cite (Informal):
Diagnosing LLM Fragility: An Empirical Study on Reasoning Entropy and Malicious Outputs (Mercorio et al., EMNLP 2026)
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https://aclanthology.org/2026.emnlp-main.1324.pdf