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As large language models (LLMs) are increasingly deployed in high-stakes applications, robust uncertainty estimation is essential for ensuring the safe and trustworthy deployment of LLMs. We present the most comprehensive study to date of…

Computation and Language · Computer Science 2025-06-02 Linwei Tao , Yi-Fan Yeh , Minjing Dong , Tao Huang , Philip Torr , Chang Xu

Consistency-based methods have emerged as an effective approach to uncertainty quantification (UQ) in large language models. These methods typically rely on several generations obtained via multinomial sampling, measuring their agreement…

Uncertainty Quantification (UQ) in Language Models (LMs) is key to improving their safety and reliability. Evaluations often use metrics like AUROC to assess how well UQ methods (e.g., negative sequence probabilities) correlate with task…

Computation and Language · Computer Science 2025-08-11 Andrea Santilli , Adam Golinski , Michael Kirchhof , Federico Danieli , Arno Blaas , Miao Xiong , Luca Zappella , Sinead Williamson

Treating uncertainties in models is essential in many fields of science and engineering. Uncertainty quantification (UQ) on complex and computationally costly numerical models necessitates a combination of efficient model solvers, advanced…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-04-28 Linus Seelinger , Anne Reinarz , Jean Benezech , Mikkel Bue Lykkegaard , Lorenzo Tamellini , Robert Scheichl

Deep learning models are extensively used in various safety critical applications. Hence these models along with being accurate need to be highly reliable. One way of achieving this is by quantifying uncertainty. Bayesian methods for UQ…

Computer Vision and Pattern Recognition · Computer Science 2020-07-06 Swaroop Bhandary K , Nico Hochgeschwender , Paul Plöger , Frank Kirchner , Matias Valdenegro-Toro

We have recently proposed a rigorous framework for Uncertainty Quantification (UQ) in which UQ objectives and assumption/information set are brought into the forefront, providing a framework for the communication and comparison of UQ…

Discrete Mathematics · Computer Science 2012-02-07 M. McKerns , H. Owhadi , C. Scovel , T. J. Sullivan , M. Ortiz

Uncertainty quantification (UQ) is a crucial but challenging task in many high-dimensional regression or learning problems to increase the confidence of a given predictor. We develop a new data-driven approach for UQ in regression that…

Machine Learning · Computer Science 2024-07-19 Frederik Hoppe , Claudio Mayrink Verdun , Hannah Laus , Felix Krahmer , Holger Rauhut

Vision-language models (VLMs) have great potential for medical image understanding, particularly in Visual Report Generation (VRG) and Visual Question Answering (VQA), but they may generate hallucinated responses that contradict visual…

Computer Vision and Pattern Recognition · Computer Science 2026-02-05 Zehui Liao , Shishuai Hu , Ke Zou , Mengyuan Jin , Yanning Zhang , Huazhu Fu , Liangli Zhen , Yong Xia

Reasoning language models have set state-of-the-art (SOTA) records on many challenging benchmarks, enabled by multi-step reasoning induced using reinforcement learning. However, like previous language models, reasoning models are prone to…

Artificial Intelligence · Computer Science 2025-07-21 Zhiting Mei , Christina Zhang , Tenny Yin , Justin Lidard , Ola Shorinwa , Anirudha Majumdar

Large language models (LLMs) have achieved significant advancements in reasoning capabilities through reinforcement learning (RL) via environmental exploration. As the intrinsic properties of the environment determine the abilities that…

Computation and Language · Computer Science 2026-05-04 Peng Yu , Zeyuan Zhao , Shao Zhang , Luoyi Fu , Xinbing Wang , Ying Wen

This study investigates semantic uncertainty in large language model (LLM) outputs across different decoding methods, focusing on emerging techniques like speculative sampling and chain-of-thought (CoT) decoding. Through experiments on…

Computation and Language · Computer Science 2025-06-24 Darius Foodeei , Simin Fan , Martin Jaggi

Large Language Models (LLMs) have the tendency to hallucinate, i.e., to sporadically generate false or fabricated information. This presents a major challenge, as hallucinations often appear highly convincing and users generally lack the…

As large language models (LLMs) are increasingly used for factual question-answering, it becomes more important for LLMs to have the capability to communicate the likelihood that their answer is correct. For these verbalized expressions of…

Computation and Language · Computer Science 2025-12-15 Sophia Hager , David Mueller , Kevin Duh , Nicholas Andrews

Complex multi-step reasoning tasks, such as solving mathematical problems, remain challenging for large language models (LLMs). While outcome supervision is commonly used, process supervision via process reward models (PRMs) provides…

Computation and Language · Computer Science 2025-02-18 Zihuiwen Ye , Luckeciano Carvalho Melo , Younesse Kaddar , Phil Blunsom , Sam Staton , Yarin Gal

Understanding the uncertainty in large language model (LLM) explanations is important for evaluating their faithfulness and reasoning consistency, and thus provides insights into the reliability of LLM's output regarding a question. In this…

Computation and Language · Computer Science 2025-09-16 Longchao Da , Xiaoou Liu , Jiaxin Dai , Lu Cheng , Yaqing Wang , Hua Wei

Large Language Models (LLMs) have demonstrated impressive capabilities in long-form generation, yet their application is hindered by the hallucination problem. While Uncertainty Quantification (UQ) is essential for assessing reliability,…

Computation and Language · Computer Science 2026-04-15 Guanran Luo , Wentao Qiu , Wanru Zhao , Wenhan Lv , Zhongquan Jian , Meihong Wang , Qingqiang Wu

With the advancement of GPS, remote sensing, and computational simulations, large amounts of geospatial and spatiotemporal data are being collected at an increasing speed. Such emerging spatiotemporal big data assets, together with the…

Machine Learning · Computer Science 2024-06-24 Wenchong He , Zhe Jiang

Methods for interpreting machine learning black-box models increase the outcomes' transparency and in turn generates insight into the reliability and fairness of the algorithms. However, the interpretations themselves could contain…

Machine Learning · Computer Science 2019-06-05 Yujia Zhang , Kuangyan Song , Yiming Sun , Sarah Tan , Madeleine Udell

Uncertainty Quantification (UQ) is a key discipline for computational modeling of complex systems, enhancing reliability of engineering simulations. In crashworthiness, having an accurate assessment of the behavior of the model uncertainty…

Methodology · Statistics 2021-09-17 Marc Rocas , Alberto García-González , Sergio Zlotnik , Xabier Larráyoz , Pedro Díez

Large language models (LLMs) demonstrate advanced reasoning abilities, enabling robots to understand natural language instructions and generate high-level plans with appropriate grounding. However, LLM hallucinations present a significant…

Robotics · Computer Science 2025-10-10 Shiyuan Yin , Chenjia Bai , Zihao Zhang , Junwei Jin , Xinxin Zhang , Chi Zhang , Xuelong Li