Generalised Probabilistic Modelling and Improved Uncertainty Estimation in Comparative LLM-as-a-judge
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Abstract (arXiv)
This paper explores generalised probabilistic modelling and uncertainty estimation in comparative LLM-as-a-judge frameworks. We show that existing Product-of-Experts methods are specific cases of a broader framework, enabling diverse modelling options. Furthermore, we propose improved uncertainty estimates for individual comparisons, enabling more efficient selection and achieving strong performance with fewer evaluations. We also introduce a method for estimating overall ranking uncertainty. Finally, we demonstrate that combining absolute and comparative scoring improves performance. Experiments show that the specific expert model has a limited impact on final rankings but our proposed uncertainty estimates, especially the probability of reordering, significantly improve the efficiency of systems reducing the number of needed comparisons by ~50%. Furthermore, ranking-level uncertainty metrics can be used to identify low-performing predictions, where the nature of the probabilistic model has a notable impact on the quality of the overall uncertainty.
Key facts. Cited by 4 papers in the map (data through 14 Oct 2026). Builds on 29 of its 47 references that are in the map. First posted on arXiv 21 May 2025.
Builds on
29 of 47 references.
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17 more
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Built on by
Citing papers per year: 2026: 4.
4 papers.
- 2026A Judge-Aware Ranking Framework for Evaluating Large Language Models without Ground Truthcited by 7
- 2026Who can we trust? LLM-as-a-jury for Comparative Assessmentcited by 7
- 2026CIExplainer++: Generating Causal and Interpretable Explanations for Graph Neural Networkscited by 0
- 2026OSCAR: Order-aware Sensitivity Correction for AI Rankingscited by 0
- 2026OSCAR: Order-aware Sensitivity Correction for AI Rankings21 Sep 2026
- 2026CIExplainer++: Generating Causal and Interpretable Explanations for Graph Neural Networks17 Jun 2026
- 2026Who can we trust? LLM-as-a-jury for Comparative Assessment18 Feb 2026
- 2026A Judge-Aware Ranking Framework for Evaluating Large Language Models without Ground Truth29 Jan 2026