Calibrating LLM Judges: Linear Probes for Fast and Reliable Uncertainty Estimation

Bhaktipriya Radharapu, Eshika Saxena, Kenneth Li, Chenxi Whitehouse, Adina Williams, Nicola Cancedda


Abstract
As LLM-based judges become integral to industry applications, obtaining well-calibrated uncertainty estimates efficiently has become critical for production deployment. However, existing techniques, such as verbalized confidence and multi-generation methods, are often either poorly calibrated or computationally expensive. We introduce linear probes trained with a Brier score-based loss to provide calibrated uncertainty estimates from reasoning judges’ hidden states, requiring no additional model training. We evaluate our approach on both objective tasks (reasoning, mathematics, factuality, coding) and subjective human preference judgments. Our results demonstrate that probes achieve superior calibration compared to existing methods with x computational savings, generalize robustly to unseen evaluation domains, and deliver higher accuracy on high-confidence predictions. However, probes produce conservative estimates that underperform on easier datasets but may benefit safety-critical deployments prioritizing low false-positive rates. Overall, our work demonstrates that interpretability-based uncertainty estimation provides a practical and scalable plug-and-play solution for LLM judges in production.
Anthology ID:
2026.acl-industry.14
Volume:
Proceedings of the 64th Annual Meeting of the Association for Computational Linguistics (ACL 2026)
Month:
July
Year:
2026
Address:
San Diego, California, USA
Editors:
Yunyao Li, Georg Rehm, Mei Tu
Venue:
ACL
SIG:
Publisher:
Association for Computational Linguistics
Note:
Pages:
193–216
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URL:
https://preview.aclanthology.org/ingest-acl/2026.acl-industry.14/
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Cite (ACL):
Bhaktipriya Radharapu, Eshika Saxena, Kenneth Li, Chenxi Whitehouse, Adina Williams, and Nicola Cancedda. 2026. Calibrating LLM Judges: Linear Probes for Fast and Reliable Uncertainty Estimation. In Proceedings of the 64th Annual Meeting of the Association for Computational Linguistics (ACL 2026), pages 193–216, San Diego, California, USA. Association for Computational Linguistics.
Cite (Informal):
Calibrating LLM Judges: Linear Probes for Fast and Reliable Uncertainty Estimation (Radharapu et al., ACL 2026)
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https://preview.aclanthology.org/ingest-acl/2026.acl-industry.14.pdf