arXiv Machine Learning By Usman Anwar, Tim Bakker, Dana Kianfar, Cristina Pinneri, Christos Louizos

Analyzing and Improving Chain-of-Thought Monitorability Through Information Theory

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The paper investigates the monitorability of chain-of-thought (CoT) reasoning in large language models, showing that non-zero mutual information between CoT and output is necessary but not sufficient for effective monitoring. It identifies two approximation errors—information gap and elicitation error—that can degrade monitor performance, and demonstrates that CoT obfuscation can occur even without optimization pressure. The authors propose a label‑free mutual‑information‑based training objective that mitigates CoT obfuscation and reward hacking across multiple environments, outperforming an oracle‑based method.

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