BiG-SURE - Bipartite Graph for Semantic Uncertainty and Reliability Estimation of LLMs

Debarpan Bhattacharya, Malay Phadke, Sriram Ganapathy


Abstract
Reliable uncertainty estimation is a crucial requirement for deploying large language models (LLMs) and vision-language models (VLMs) in safety-critical settings, especially when the model parameters are not accessible (black-box). We propose BiG-SURE, an uncertainty estimator based on cross-temperature semantic agreement. The method samples low-temperature responses as stable semantic anchors and high-temperature responses as probes under meaning-preserving input transformations. It then constructs an anchor-probe Bipartite Graph (BiG) using NLI-based entailment scores and defines confidence through the normalized squared spectral energy of this matrix, with uncertainty given by its complement. This bipartite graph-based Semantic Uncertainty and Reliability Estimation (SURE) score measures whether high-temperature probes remain semantically aligned with the model’s stable low-temperature belief or not. We evaluate BiG-SURE on text QA, multilingual QA, and multimodal QA tasks across multiple model families. In these experiments, BiG-SURE improves average abstention AUROC over prior black-box uncertainty estimators, while remaining simple, unsupervised, and applicable to black-box model settings.
Anthology ID:
2026.emnlp-main.1075
Volume:
Proceedings of the 2026 Conference on Empirical Methods in Natural Language Processing
Month:
October
Year:
2026
Address:
Budapest, Hungary
Editors:
Hung-Yi Lee, Sunipa Dev, Jessy Li, Desmond Elliott
Venue:
EMNLP
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SIGDAT
Publisher:
Association for Computational Linguistics
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Pages:
24713–24734
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URL:
https://aclanthology.org/2026.emnlp-main.1075/
DOI:
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Cite (ACL):
Debarpan Bhattacharya, Malay Phadke, and Sriram Ganapathy. 2026. BiG-SURE - Bipartite Graph for Semantic Uncertainty and Reliability Estimation of LLMs. In Proceedings of the 2026 Conference on Empirical Methods in Natural Language Processing, pages 24713–24734, Budapest, Hungary. Association for Computational Linguistics.
Cite (Informal):
BiG-SURE - Bipartite Graph for Semantic Uncertainty and Reliability Estimation of LLMs (Bhattacharya et al., EMNLP 2026)
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https://aclanthology.org/2026.emnlp-main.1075.pdf