Uncertainty Quantification for LLMs through Minimum Bayes Risk: Bridging Confidence and Consistency
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Abstract (arXiv)
Uncertainty quantification (UQ) methods for Large Language Models (LLMs) encompass a variety of approaches, with two major types being particularly prominent: information-based, which focus on model confidence expressed as token probabilities, and consistency-based, which assess the semantic relationship between multiple outputs generated using repeated sampling. Several recent methods have combined these two approaches to boost UQ performance. However, they sometimes fail to outperform much simpler baseline methods. Our work discusses the fundamental approach to constructing uncertainty measures that directly links uncertainty with the minimum Bayes risks achieved by LLM decoding. Building on these findings, we propose a novel approach to integrating model confidence with output consistency, resulting in a family of efficient and robust UQ methods. Our investigation reveals distinctive characteristics of LLMs as probabilistic models, which help to explain why these UQ methods underperform in certain tasks. Based on these findings, we propose a new way of synthesizing model confidence and output consistency, leading to a family of efficient and robust UQ methods. We evaluate our approach across various tasks such as question answering, abstractive summarization, and machine translation, demonstrating sizable improvements over state-of-the-art UQ approaches.
Key facts. Cited by 30 papers in the map (data through 14 Oct 2026). Builds on 30 of its 45 references that are in the map. First posted on arXiv 7 Feb 2025.
Builds on
30 of 45 references.
References · 30
- 2019RoBERTa: A Robustly Optimized BERT Pretraining Approachcited by 13,372
- 2023Llama 2: Open Foundation and Fine-Tuned Chat Modelscited by 13,028
- 2021Training Verifiers to Solve Math Word Problemscited by 10,109
- 2019Sentence-BERT: Sentence Embeddings using Siamese BERT-Networkscited by 9,170
- 2020Measuring Massive Multitask Language Understandingcited by 7,963
- 2023Mistral 7Bcited by 3,164
- 2017TriviaQA: A Large Scale Distantly Supervised Challenge Dataset for Reading Comprehensioncited by 2,955
- 2020DeBERTa: Decoding-enhanced BERT with Disentangled Attentioncited by 2,181
- 2022Language Models (Mostly) Know What They Knowcited by 1,856
- 2018Don't Give Me the Details, Just the Summary! Topic-Aware Convolutional Neural Networks for Extreme Summarizationcited by 1,317
- 2020COMET: A Neural Framework for MT Evaluationcited by 1,033
- 2023Semantic Uncertainty: Linguistic Invariances for Uncertainty Estimation in Natural Language Generationcited by 819
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- 2018CoQA: A Conversational Question Answering Challengecited by 683
- 2023Large Language Models Are State-of-the-Art Evaluators of Translation Qualitycited by 420
- 2023Large Language Models for Information Retrieval: A Surveycited by 331
- 2024INSIDE: LLMs' Internal States Retain the Power of Hallucination Detectioncited by 323
- 2023Generating with Confidence: Uncertainty Quantification for Black-box Large Language Modelscited by 293
- 2023AlignScore: Evaluating Factual Consistency with a Unified Alignment Functioncited by 288
- 2024Semantic Entropy Probes: Robust and Cheap Hallucination Detection in LLMscited by 259
- 2020Unsupervised Quality Estimation for Neural Machine Translationcited by 211
- 2023Shifting Attention to Relevance: Towards the Predictive Uncertainty Quantification of Free-Form Large Language Modelscited by 150
- 2023LM-Polygraph: Uncertainty Estimation for Language Modelscited by 131
- 2023Quantifying Uncertainty in Answers from any Language Model and Enhancing their Trustworthinesscited by 122
- 2024Benchmarking Uncertainty Quantification Methods for Large Language Models with LM-Polygraphcited by 105
- 2024MetricX-24: The Google Submission to the WMT 2024 Metrics Shared Taskcited by 93
- 2022Nonparametric Uncertainty Quantification for Single Deterministic Neural Networkcited by 36
- 2020Minimum Excess Risk in Bayesian Learningcited by 35
- 2024From Risk to Uncertainty: Generating Predictive Uncertainty Measures via Bayesian Estimationcited by 28
- 2024Rethinking Uncertainty Estimation in LLMs: A Principled Single-Sequence Measurecited by 18
- 2024On Subjective Uncertainty Quantification and Calibration in Natural Language Generationcited by 16
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- 2026When Do Supervised UQ Ensembles Improve LLM Hallucination Detection? A Robustness Study25 Aug 2026
- 2026Failing to See or Failing to Know? Attributing Errors in Vision-Language Models6 Jul 2026
- 2026Uncertainty Quantification for Computer-Use Agents: A Benchmark across Vision-Language Models and GUI Grounding Datasets24 Jun 2026
- 2026The Role of Ambiguity in Error Prediction via Uncertainty Quantification1 Jun 2026
- 2026Functional Entropy: Predicting Functional Correctness in LLM-Generated Code with Uncertainty Quantification27 May 2026
- 2026Localizing Input Uncertainty Quantification for Large Language Models via Shapley Values27 May 2026
- 2026How Do Uncertainty Estimators Align with Hallucination Occurrence in LLMs?26 May 2026
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- 2026Position: Uncertainty Quantification in LLMs is Just Unsupervised Clustering19 May 2026
- 2026Uncertainty Quantification for Large Language Diffusion Models14 May 2026
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- 2026HIVE: Hidden-Evidence Verification for Hallucination Detection in Diffusion Large Language Models28 Apr 2026
- 2026MADE: A Living Benchmark for Multi-Label Text Classification with Uncertainty Quantification of Medical Device Adverse Events16 Apr 2026
- 2026Calibration-Aware Policy Optimization for Reasoning LLMs14 Apr 2026
- 2026ReDAct: Uncertainty-Aware Deferral for LLM Agents8 Apr 2026
- 2026The Alignment Tax: Response Homogenization in Aligned LLMs and Its Implications for Uncertainty Estimation25 Mar 2026
- 2026Task-Awareness Improves LLM Generations and Uncertainty29 Jan 2026
- 2025Don't Throw Away Your Beams: Improving Consistency-based Uncertainties in LLMs via Beam Search10 Dec 2025
- 2025Systematic Evaluation of Uncertainty Estimation Methods in Large Language Models23 Oct 2025
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- 2025Towards Label-Free Biological Reasoning Synthetic Dataset Creation via Uncertainty Filtering7 Oct 2025
- 2025Don't Pass@k: A Bayesian Framework for Large Language Model Evaluation5 Oct 2025
- 2025Multidimensional Uncertainty Quantification via Optimal Transport26 Sep 2025
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- 2025UQLM: A Python Package for Uncertainty Quantification in Large Language Models8 Jul 2025
- 2025Uncertainty Quantification for Language Models: A Suite of Black-Box, White-Box, LLM Judge, and Ensemble Scorers27 Apr 2025
- 2025Token-Level Density-Based Uncertainty Quantification Methods for Eliciting Truthfulness of Large Language Models20 Feb 2025
- 2025Don't Pass@k: A Bayesian Framework for Large Language Model Evaluationcited by 15
- 2025Towards Agents That Know When They Don't Know: Uncertainty as a Control Signal for Structured Reasoningcited by 10
- 2025EAGer: Entropy-Aware GEneRation for Adaptive Inference-Time Scalingcited by 10
- 2026Calibration-Aware Policy Optimization for Reasoning LLMscited by 5
- 2025Towards Label-Free Biological Reasoning Synthetic Dataset Creation via Uncertainty Filteringcited by 3
- 2026SABER: Stability-Aware Early Exit for LLM Reasoning via Adversarial Branch Probingcited by 1
- 2026SABER: Stability-Aware Early Exit for LLM Reasoning via Adversarial Branch Probing28 Aug 2026
- 2026Calibration-Aware Policy Optimization for Reasoning LLMs14 Apr 2026
- 2025EAGer: Entropy-Aware GEneRation for Adaptive Inference-Time Scaling13 Oct 2025
- 2025Towards Label-Free Biological Reasoning Synthetic Dataset Creation via Uncertainty Filtering7 Oct 2025
- 2025Don't Pass@k: A Bayesian Framework for Large Language Model Evaluation5 Oct 2025
- 2025Towards Agents That Know When They Don't Know: Uncertainty as a Control Signal for Structured Reasoning2 Sep 2025
- 2025Token-Level Density-Based Uncertainty Quantification Methods for Eliciting Truthfulness of Large Language Modelscited by 18
- 2025Uncertainty Quantification for Language Models: A Suite of Black-Box, White-Box, LLM Judge, and Ensemble Scorerscited by 18
- 2025UQLM: A Python Package for Uncertainty Quantification in Large Language Modelscited by 9
- 2025Systematic Evaluation of Uncertainty Estimation Methods in Large Language Modelscited by 3
- 2025Don't Throw Away Your Beams: Improving Consistency-based Uncertainties in LLMs via Beam Searchcited by 3
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- 2026Hallucination as Commitment Failure: Larger LLMs Misfire Despite Knowing the Answercited by 2
- 2025Multidimensional Uncertainty Quantification via Optimal Transportcited by 1
- 2026MADE: A Living Benchmark for Multi-Label Text Classification with Uncertainty Quantification of Medical Device Adverse Eventscited by 1
- 2026HIVE: Hidden-Evidence Verification for Hallucination Detection in Diffusion Large Language Modelscited by 1
12 most cited of 18 All 18 (JSON)
- 2026When Do Supervised UQ Ensembles Improve LLM Hallucination Detection? A Robustness Study25 Aug 2026
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- 2026Functional Entropy: Predicting Functional Correctness in LLM-Generated Code with Uncertainty Quantification27 May 2026
- 2026Localizing Input Uncertainty Quantification for Large Language Models via Shapley Values27 May 2026
- 2026How Do Uncertainty Estimators Align with Hallucination Occurrence in LLMs?26 May 2026
- 2026Hallucination as Commitment Failure: Larger LLMs Misfire Despite Knowing the Answer21 May 2026
- 2026Position: Uncertainty Quantification in LLMs is Just Unsupervised Clustering19 May 2026
- 2026Towards Generation-Efficient Uncertainty Estimation in Large Language Models7 May 2026
- 2026Estimating the Black-box LLM Uncertainty with Distribution-Aligned Adversarial Distillation7 May 2026
- 2026HIVE: Hidden-Evidence Verification for Hallucination Detection in Diffusion Large Language Models28 Apr 2026
- 2026MADE: A Living Benchmark for Multi-Label Text Classification with Uncertainty Quantification of Medical Device Adverse Events16 Apr 2026
- 2026Task-Awareness Improves LLM Generations and Uncertainty29 Jan 2026
12 newest of 18 All 18 (JSON)