Measuring Mechanistic Uncertainty in Large Language Models via Causal Robustness

Aneesh Komanduri, Majid Afshar, Timothy A. Miller, Yanjun Gao

University of Colorado Anschutz Medical Campus · University of Wisconsin-Madison · Harvard Medical School · Boston Children’s Hospital

Published October 15, 2026 · on the feed October 20, 2026 · ▲ 3 · arXiv 2610.22636

Interpretability & analysis No code arXiv ↗Hugging Face ↗

The abstract

Large language models (LLMs) are increasingly used in critical domains, where their susceptibility to hallucinations makes reliable and interpretable uncertainty quantification essential. We introduce the concept of mechanistic uncertainty, which characterizes uncertainty through the stability of the internal mechanisms supporting a model's response. We propose the causal robustness margin, defined as the minimum internal intervention required to deviate the model's output, and operationalize it using Jacobian Lens (Jlens) concept steering vectors. Across three open-source models and five question-answering datasets, we show incorrect and uncertain responses exhibit smaller margins, indicating greater sensitivity to internal interventions, and the causal robustness margin complements conventional output-based uncertainty methods. Finally, in a controlled knowledge injection experiment, correctly learned facts show increased margins after training, suggesting that causal robustness provides a mechanistically grounded signal of uncertainty.

The Brief

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Transcript

Measuring Mechanistic Uncertainty in Large Language Models via Causal Robustness. By Aneesh Komanduri and three others, from the University of Colorado Anschutz Medical Campus, the University of Wisconsin–Madison, and two other institutions. Published on the fifteenth of October. No code repository is linked to it.

Large language models are increasingly used in critical domains. Because they are susceptible to hallucination, those domains need uncertainty estimates that are both reliable and interpretable. The conventional methods judge uncertainty from the output. This work looks underneath it instead, at the machinery inside the model that produces a response, and asks how easily that machinery can be moved.

The authors introduce mechanistic uncertainty: uncertainty characterized by how stable the internal mechanisms supporting a response are. To measure it, they propose the causal robustness margin, defined as the minimum internal intervention needed to make the model's output deviate.

The margin is operationalized with Jacobian Lens concept steering vectors, known as Jlens, which supply the internal interventions. Read plainly, a small margin means a small push inside the model changes what it says. A large margin means the answer holds under a larger push.

Across three open-source models and five question-answering datasets, incorrect and uncertain responses show smaller margins, which indicates greater sensitivity to internal interventions. The margin also complements conventional output-based uncertainty methods. Last, in a controlled knowledge injection experiment, facts that were correctly learned show increased margins after training. Wrong answers sit on fragile mechanisms, and learning a fact makes its mechanism sturdier.

That final experiment ties the measure to learning itself. If acquiring a fact makes the mechanism behind it harder to disturb, then robustness to intervention is an uncertainty signal grounded in the mechanism, not only in the surface of the output. That is the case the authors make for causal robustness.

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