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Learning to Be Monitored: Causal Bounds and Intervention-Aware Post-Training Recipes for Chain-of-Thought Monitorability

Summary

The paper shows that the commonly used TPR_mc metric can overestimate how often a monitor detects target behaviors actually caused by an intervention, and proposes a causal upper/lower bound framework for tighter evaluation. It also constructs a paired control-intervention dataset and applies three training methods—off-policy self-distillation, reinforcement learning, and on-policy self-distillation—to improve chain-of-thought monitorability across various model-monitor configurations.

SourcearXiv Machine LearningAuthor: Qiang Fu, Xinyue Li, Andre Wibisono, Arman Cohan
Learning to Be Monitored: Causal Bounds and Intervention-Aware Post-Training Recipes for Chain-of-Thought Monitorability
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[Submitted on 22 Oct 2026]

Title:Learning to Be Monitored: Causal Bounds and Intervention-Aware Post-Training Recipes for Chain-of-Thought Monitorability

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Abstract:Chain-of-thought (CoT) monitoring aims to detect potentially harmful behaviors in large language models (LLMs) from their CoTs. Intervention-based evaluations measure this property by asking whether a monitor can detect the role of an intervention from the CoT when the targeted behavior occurs, typically using minimal-criterion sensitivity ($\mathsf{TPR_{mc}}$) proposed by~\citep{guan2025monitoring}. However, a target behavior observed under intervention is not necessarily caused by it, and we show that this metric can overestimate how often a monitor detects target behaviors actually caused by the intervention. Specifically, we establish $\mathsf{TPR_{mc}}$ as an upper bound on this causal detection rate and derive a complementary lower bound, which provides a tighter evaluation framework for CoT monitorability. With this framework, we study whether LLMs can be trained to make their CoTs easier to monitor. We first construct a training dataset of paired control--intervention tasks spanning multiple intervention types. Using the dataset, we design and apply three intervention-specific training methods based on off-policy self-distillation, reinforcement learning, and on-policy self-distillation to train separate variants of each base model. Across various model-monitor configurations, all three methods generally improve CoT monitorability over the corresponding base models under our extended evaluation framework. Our code is available at this https URL.

Subjects:

Machine Learning (cs.LG); Artificial Intelligence (cs.AI); Machine Learning (stat.ML)

Cite as: arXiv:2610.31733 [cs.LG]

(or arXiv:2610.31733v1 [cs.LG] for this version)

https://doi.org/10.48550/arXiv.2610.31733

arXiv-issued DOI via DataCite (pending registration)

Submission history

From: Qiang Fu [view email] [v1] Thu, 22 Oct 2026 16:00:17 UTC (137 KB)

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Key points

  • TPR_mc is an upper bound on the causal detection rate; a complementary lower bound yields a tighter evaluation framework.
  • A training dataset of paired control-intervention tasks spanning multiple intervention types is constructed.
  • Three intervention-specific training methods (off-policy self-distillation, RL, on-policy self-distillation) generally improve CoT monitorability over base models.
  • Code is available on GitHub for reproducibility.

Highlights and analysis are generated automatically and may contain errors. Check the original source.