mlsanityData to 14 Oct 2026

Uncertainty Quantification for LLMs through Minimum Bayes Risk: Bridging Confidence and Consistency

arXiv 2502.04964 ↗First posted 7 Feb 2025cs.CLcited by 30

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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.

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30 of 45 references.

References · 30

  1. 2019RoBERTa: A Robustly Optimized BERT Pretraining Approachcited by 13,372
  2. 2023Llama 2: Open Foundation and Fine-Tuned Chat Modelscited by 13,028
  3. 2021Training Verifiers to Solve Math Word Problemscited by 10,109
  4. 2019Sentence-BERT: Sentence Embeddings using Siamese BERT-Networkscited by 9,170
  5. 2020Measuring Massive Multitask Language Understandingcited by 7,963
  6. 2023Mistral 7Bcited by 3,164
  7. 2017TriviaQA: A Large Scale Distantly Supervised Challenge Dataset for Reading Comprehensioncited by 2,955
  8. 2020DeBERTa: Decoding-enhanced BERT with Disentangled Attentioncited by 2,181
  9. 2022Language Models (Mostly) Know What They Knowcited by 1,856
  10. 2018Don't Give Me the Details, Just the Summary! Topic-Aware Convolutional Neural Networks for Extreme Summarizationcited by 1,317
  11. 2020COMET: A Neural Framework for MT Evaluationcited by 1,033
  12. 2023Semantic Uncertainty: Linguistic Invariances for Uncertainty Estimation in Natural Language Generationcited by 819
18 more
  1. 2018CoQA: A Conversational Question Answering Challengecited by 683
  2. 2023Large Language Models Are State-of-the-Art Evaluators of Translation Qualitycited by 420
  3. 2023Large Language Models for Information Retrieval: A Surveycited by 331
  4. 2024INSIDE: LLMs' Internal States Retain the Power of Hallucination Detectioncited by 323
  5. 2023Generating with Confidence: Uncertainty Quantification for Black-box Large Language Modelscited by 293
  6. 2023AlignScore: Evaluating Factual Consistency with a Unified Alignment Functioncited by 288
  7. 2024Semantic Entropy Probes: Robust and Cheap Hallucination Detection in LLMscited by 259
  8. 2020Unsupervised Quality Estimation for Neural Machine Translationcited by 211
  9. 2023Shifting Attention to Relevance: Towards the Predictive Uncertainty Quantification of Free-Form Large Language Modelscited by 150
  10. 2023LM-Polygraph: Uncertainty Estimation for Language Modelscited by 131
  11. 2023Quantifying Uncertainty in Answers from any Language Model and Enhancing their Trustworthinesscited by 122
  12. 2024Benchmarking Uncertainty Quantification Methods for Large Language Models with LM-Polygraphcited by 105
  13. 2024MetricX-24: The Google Submission to the WMT 2024 Metrics Shared Taskcited by 93
  14. 2022Nonparametric Uncertainty Quantification for Single Deterministic Neural Networkcited by 36
  15. 2020Minimum Excess Risk in Bayesian Learningcited by 35
  16. 2024From Risk to Uncertainty: Generating Predictive Uncertainty Measures via Bayesian Estimationcited by 28
  17. 2024Rethinking Uncertainty Estimation in LLMs: A Principled Single-Sequence Measurecited by 18
  18. 2024On Subjective Uncertainty Quantification and Calibration in Natural Language Generationcited by 16

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Citing papers per year: 2025: 10; 2026: 20.

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  1. 2025Token-Level Density-Based Uncertainty Quantification Methods for Eliciting Truthfulness of Large Language Modelscited by 18
  2. 2025Uncertainty Quantification for Language Models: A Suite of Black-Box, White-Box, LLM Judge, and Ensemble Scorerscited by 18
  3. 2025Don't Pass@k: A Bayesian Framework for Large Language Model Evaluationcited by 15
  4. 2025Towards Agents That Know When They Don't Know: Uncertainty as a Control Signal for Structured Reasoningcited by 10
  5. 2025EAGer: Entropy-Aware GEneRation for Adaptive Inference-Time Scalingcited by 10
  6. 2025UQLM: A Python Package for Uncertainty Quantification in Large Language Modelscited by 9
  7. 2026ReDAct: Uncertainty-Aware Deferral for LLM Agentscited by 7
  8. 2026Calibration-Aware Policy Optimization for Reasoning LLMscited by 5
  9. 2026The Alignment Tax: Response Homogenization in Aligned LLMs and Its Implications for Uncertainty Estimationcited by 4
  10. 2025Towards Label-Free Biological Reasoning Synthetic Dataset Creation via Uncertainty Filteringcited by 3
  11. 2025Systematic Evaluation of Uncertainty Estimation Methods in Large Language Modelscited by 3
  12. 2025Don't Throw Away Your Beams: Improving Consistency-based Uncertainties in LLMs via Beam Searchcited by 3
18 more
  1. 2026Task-Awareness Improves LLM Generations and Uncertaintycited by 3
  2. 2026Functional Entropy: Predicting Functional Correctness in LLM-Generated Code with Uncertainty Quantificationcited by 3
  3. 2026Towards Generation-Efficient Uncertainty Estimation in Large Language Modelscited by 2
  4. 2026Hallucination as Commitment Failure: Larger LLMs Misfire Despite Knowing the Answercited by 2
  5. 2026Uncertainty Quantification for Computer-Use Agents: A Benchmark across Vision-Language Models and GUI Grounding Datasetscited by 2
  6. 2025Multidimensional Uncertainty Quantification via Optimal Transportcited by 1
  7. 2026MADE: A Living Benchmark for Multi-Label Text Classification with Uncertainty Quantification of Medical Device Adverse Eventscited by 1
  8. 2026HIVE: Hidden-Evidence Verification for Hallucination Detection in Diffusion Large Language Modelscited by 1
  9. 2026Failing to See or Failing to Know? Attributing Errors in Vision-Language Modelscited by 1
  10. 2026SABER: Stability-Aware Early Exit for LLM Reasoning via Adversarial Branch Probingcited by 1
  11. 2026Estimating the Black-box LLM Uncertainty with Distribution-Aligned Adversarial Distillationcited by 0
  12. 2026Uncertainty Quantification for Large Language Diffusion Modelscited by 0
  13. 2026Position: Uncertainty Quantification in LLMs is Just Unsupervised Clusteringcited by 0
  14. 2026How Do Uncertainty Estimators Align with Hallucination Occurrence in LLMs?cited by 0
  15. 2026Localizing Input Uncertainty Quantification for Large Language Models via Shapley Valuescited by 0
  16. 2026The Role of Ambiguity in Error Prediction via Uncertainty Quantificationcited by 0
  17. 2026When Do Supervised UQ Ensembles Improve LLM Hallucination Detection? A Robustness Studycited by 0
  18. 2026Uncertainty Quantification for LLM Agents: A Taxonomy, an Evaluation Protocol, and an Empirical Studycited by 0