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Large Language Models (LLMs) display formidable capabilities in generative tasks but also pose potential risks due to their tendency to generate hallucinatory responses. Uncertainty Quantification (UQ), the evaluation of model output…

Computation and Language · Computer Science 2024-12-11 Qinhong Lin , Linna Zhou , Zhongliang Yang , Yuang Cai

Stochastic simulation has been widely used to analyze the performance of complex stochastic systems and facilitate decision making in those systems. Stochastic simulation is driven by the input model, which is a collection of probability…

Risk Management · Quantitative Finance 2020-02-14 Tianyi Liu , Enlu Zhou

Uncertainty Quantification (UQ) is essential in probabilistic machine learning models, particularly for assessing the reliability of predictions. In this paper, we present a systematic framework for estimating both epistemic and aleatoric…

Machine Learning · Statistics 2025-09-11 Marzieh Ajirak , Anand Ravishankar , Petar M. Djuric

The introduction of the Segment Anything Model (SAM) has paved the way for numerous semantic segmentation applications. For several tasks, quantifying the uncertainty of SAM is of particular interest. However, the ambiguous nature of the…

Computer Vision and Pattern Recognition · Computer Science 2025-07-30 Timo Kaiser , Thomas Norrenbrock , Bodo Rosenhahn

Reward models are central to aligning large language models (LLMs) with human preferences. Yet most approaches rely on pointwise reward estimates that overlook the epistemic uncertainty in reward models arising from limited human feedback.…

Machine Learning · Computer Science 2026-03-02 Daniel Yang , Samuel Stante , Florian Redhardt , Lena Libon , Parnian Kassraie , Ido Hakimi , Barna Pásztor , Andreas Krause

Large language models (LLMs) specializing in natural language generation (NLG) have recently started exhibiting promising capabilities across a variety of domains. However, gauging the trustworthiness of responses generated by LLMs remains…

Computation and Language · Computer Science 2024-05-21 Zhen Lin , Shubhendu Trivedi , Jimeng Sun

As data plays an increasingly pivotal role in decision-making, the emergence of data markets underscores the growing importance of data valuation. Within the machine learning landscape, Data Shapley stands out as a widely embraced method…

Machine Learning · Statistics 2024-07-30 Mengmeng Wu , Zhihong Liu , Xiang Li , Ruoxi Jia , Xiangyu Chang

Large language models (LLMs) excel in many tasks but struggle to accurately quantify uncertainty in their generated responses. This limitation makes it challenging to detect misinformation and ensure reliable decision-making. Existing…

Computation and Language · Computer Science 2025-06-04 Boxuan Zhang , Ruqi Zhang

We explore uncertainty quantification in large language models (LLMs), with the goal to identify when uncertainty in responses given a query is large. We simultaneously consider both epistemic and aleatoric uncertainties, where the former…

Machine Learning · Computer Science 2024-07-18 Yasin Abbasi Yadkori , Ilja Kuzborskij , András György , Csaba Szepesvári

In recent years, Large Language Models (LLMs) have become fundamental to a broad spectrum of artificial intelligence applications. As the use of LLMs expands, precisely estimating the uncertainty in their predictions has become crucial.…

Artificial Intelligence · Computer Science 2024-10-29 Mohammad Beigi , Sijia Wang , Ying Shen , Zihao Lin , Adithya Kulkarni , Jianfeng He , Feng Chen , Ming Jin , Jin-Hee Cho , Dawei Zhou , Chang-Tien Lu , Lifu Huang

Estimating the confidence of large language model (LLM) outputs is essential for real-world applications requiring high user trust. Black-box uncertainty quantification (UQ) methods, relying solely on model API access, have gained…

Computation and Language · Computer Science 2025-06-30 Quan Xiao , Debarun Bhattacharjya , Balaji Ganesan , Radu Marinescu , Katsiaryna Mirylenka , Nhan H Pham , Michael Glass , Junkyu Lee

With the widespread application of Large Language Models (LLMs) to various domains, concerns regarding the trustworthiness of LLMs in safety-critical scenarios have been raised, due to their unpredictable tendency to hallucinate and…

Computation and Language · Computer Science 2024-11-04 Xin Qiu , Risto Miikkulainen

Large Vision-Language Models (LVLMs) frequently hallucinate, limiting their safe deployment in real-world applications. Existing LLM self-evaluation methods rely on a model's ability to estimate the correctness of its own outputs, which can…

Computer Vision and Pattern Recognition · Computer Science 2026-05-05 Seongheon Park , Changdae Oh , Hyeong Kyu Choi , Sean Du , Sharon Li

Large language models (LLMs) have shown remarkable achievements in natural language processing tasks, producing high-quality outputs. However, LLMs still exhibit limitations, including the generation of factually incorrect information. In…

Computation and Language · Computer Science 2023-11-17 Sridevi Wagle , Sai Munikoti , Anurag Acharya , Sara Smith , Sameera Horawalavithana

To facilitate healthcare delivery, language models (LMs) have significant potential for clinical prediction tasks using electronic health records (EHRs). However, in these high-stakes applications, unreliable decisions can result in high…

Computation and Language · Computer Science 2024-11-07 Zizhang Chen , Peizhao Li , Xiaomeng Dong , Pengyu Hong

Despite recent progress in systematic evaluation frameworks, benchmarking the uncertainty of large language models (LLMs) remains a highly challenging task. Existing methods for benchmarking the uncertainty of LLMs face three key…

Computation and Language · Computer Science 2025-06-05 Xunzhi Wang , Zhuowei Zhang , Gaonan Chen , Qiongyu Li , Bitong Luo , Zhixin Han , Haotian Wang , Zhiyu li , Hang Gao , Mengting Hu

Large language models(LLMs) are increasingly expanding their real-world applications across domains, e.g., question answering, autonomous driving, and automatic software development. Despite this achievement, LLMs, as data-driven systems,…

Artificial Intelligence · Computer Science 2025-12-09 Xianzong Wu , Xiaohong Li , Lili Quan , Qiang Hu

Uncertainty quantification (UQ) in scientific machine learning is increasingly critical as neural networks are widely adopted to tackle complex problems across diverse scientific disciplines. For physics-informed neural networks (PINNs), a…

Machine Learning · Statistics 2025-10-20 Frank Shih , Zhenghao Jiang , Faming Liang

Despite warnings that LLMs can make mistakes, users often develop inappropriate trust and accept incorrect answers without critical evaluation. Uncertainty quantification (UQ), displaying LLMs' confidence, has emerged as a promising…

Human-Computer Interaction · Computer Science 2026-05-28 Mauricio Villavicencio , Sitong Pan , Qianwen Wang

Uncertainty quantification (UQ) plays a pivotal role in reduction of uncertainties during both optimization and decision making processes. It can be applied to solve a variety of real-world applications in science and engineering. Bayesian…