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Large language models (LLMs) are increasingly used in applications requiring factual accuracy, yet their outputs often contain hallucinated responses. While fact-checking can mitigate these errors, existing methods typically retrieve…

Computation and Language · Computer Science 2026-01-07 Haoran Wang , Maryam Khalid , Qiong Wu , Jian Gao , Cheng Cao

The rapid development of LLMs has sparked extensive research into their factual knowledge. Current works find that LLMs fall short on questions around low-frequency entities. However, such proofs are unreliable since the questions can…

Computation and Language · Computer Science 2025-05-27 Qing Zong , Zhaowei Wang , Tianshi Zheng , Xiyu Ren , Yangqiu Song

This review is designed to introduce mathematicians and computational scientists to quantum computing (QC) through the lens of uncertainty quantification (UQ) by presenting a mathematically rigorous and accessible narrative for…

Quantum Physics · Physics 2026-03-30 Ryan Bennink , Olena Burkovska , Konstantin Pieper , Jorge Ramirez , Elaine Wong

To facilitate robust and trustworthy deployment of large language models (LLMs), it is essential to quantify the reliability of their generations through uncertainty estimation. While recent efforts have made significant advancements by…

Computation and Language · Computer Science 2025-07-22 Rui Li , Jing Long , Muge Qi , Heming Xia , Lei Sha , Peiyi Wang , Zhifang Sui

Large Language Models (LLMs) show promise for natural language generation in healthcare, but risk hallucinating factually incorrect information. Deploying LLMs for medical question answering necessitates reliable uncertainty estimation (UE)…

Computation and Language · Computer Science 2024-07-12 Jiaxin Wu , Yizhou Yu , Hong-Yu Zhou

This study investigates uncertainty quantification in large language models (LLMs) for medical applications, emphasizing both technical innovations and philosophical implications. As LLMs become integral to clinical decision-making,…

Artificial Intelligence · Computer Science 2025-04-08 Zahra Atf , Seyed Amir Ahmad Safavi-Naini , Peter R. Lewis , Aref Mahjoubfar , Nariman Naderi , Thomas R. Savage , Ali Soroush

Machine learning (ML) has been leveraged to tackle a diverse range of tasks in almost all branches of nuclear engineering. Many of the successes in ML applications can be attributed to the recent performance breakthroughs in deep learning,…

Systems and Control · Electrical Eng. & Systems 2025-03-25 Xu Wu , Lesego E. Moloko , Pavel M. Bokov , Gregory K. Delipei , Joshua Kaizer , Kostadin N. Ivanov

This paper investigates the capabilities of Large Language Models (LLMs) in the context of understanding their knowledge and uncertainty over questions. Specifically, we focus on addressing known-unknown questions, characterized by high…

Computation and Language · Computer Science 2024-07-03 Alfonso Amayuelas , Kyle Wong , Liangming Pan , Wenhu Chen , William Wang

In this paper, we present a dynamic semantic clustering approach inspired by the Chinese Restaurant Process, aimed at addressing uncertainty in the inference of Large Language Models (LLMs). We quantify uncertainty of an LLM on a given…

Step-by-step decision planning with large language models (LLMs) is gaining attention in AI agent development. This paper focuses on decision planning with uncertainty estimation to address the hallucination problem in language models.…

Machine Learning · Computer Science 2024-02-02 Yao-Hung Hubert Tsai , Walter Talbott , Jian Zhang

Large Language Models (LLMs) are prone to hallucination, particularly in long-form generations. A promising direction to mitigate hallucination is to teach LLMs to express uncertainty explicitly when they lack sufficient knowledge. However,…

Computation and Language · Computer Science 2025-10-10 Ruihan Yang , Caiqi Zhang , Zhisong Zhang , Xinting Huang , Dong Yu , Nigel Collier , Deqing Yang

%Large vision-language models (LVLMs) have shown substantial advances in multimodal understanding and generation. However, when presented with incompetent or adversarial inputs, they frequently produce unreliable or even harmful content,…

Machine Learning · Computer Science 2026-02-27 Tao Huang , Rui Wang , Xiaofei Liu , Yi Qin , Li Duan , Liping Jing

Accurately estimating semantic aleatoric and epistemic uncertainties in large language models (LLMs) is particularly challenging in free-form question answering (QA), where obtaining stable estimates often requires many expensive…

Computation and Language · Computer Science 2026-01-26 Ji Won Park , Kyunghyun Cho

We present an automatic large language model (LLM) conversion approach that produces uncertainty-aware LLMs capable of estimating uncertainty with every prediction. Our approach is model- and data-agnostic, is computationally-efficient, and…

Uncertainty quantification (UQ) is the process of systematically determining and characterizing the degree of confidence in computational model predictions. In the context of systems biology, especially with dynamic models, UQ is crucial…

Machine Learning · Statistics 2024-10-29 Alberto Portela , Julio R. Banga , Marcos Matabuena

As API access becomes a primary interface to large language models (LLMs), users often interact with black-box systems that offer little transparency into the deployed model. To reduce costs or maliciously alter model behaviors, API…

Cryptography and Security · Computer Science 2026-04-10 Xiaoyuan Zhu , Yaowen Ye , Tianyi Qiu , Hanlin Zhu , Sijun Tan , Ajraf Mannan , Jonathan Michala , Raluca Ada Popa , Willie Neiswanger

Estimating uncertainty or confidence in the responses of a model can be significant in evaluating trust not only in the responses, but also in the model as a whole. In this paper, we explore the problem of estimating confidence for…

Computation and Language · Computer Science 2025-07-02 Tejaswini Pedapati , Amit Dhurandhar , Soumya Ghosh , Soham Dan , Prasanna Sattigeri

Quantifying uncertainty in large language models (LLMs) is important for safety-critical applications because it helps spot incorrect answers, known as hallucinations. One major trend of uncertainty quantification methods is based on…

Computation and Language · Computer Science 2025-10-07 Lucie Kunitomo-Jacquin , Edison Marrese-Taylor , Ken Fukuda

Consistency, which refers to the capability of generating the same predictions for semantically similar contexts, is a highly desirable property for a sound language understanding model. Although recent pretrained language models (PLMs)…

Computation and Language · Computer Science 2021-08-17 Myeongjun Jang , Deuk Sin Kwon , Thomas Lukasiewicz

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