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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

Machine learning algorithms have shown promise in reducing bias in wind gust predictions, while still underpredicting high gusts. Uncertainty quantification (UQ) supports this issue by identifying when predictions are reliable or need…

Machine Learning · Computer Science 2025-07-02 Israt Jahan , John S. Schreck , David John Gagne , Charlie Becker , Marina Astitha

Large Language Models (LLMs) have demonstrated remarkable capabilities across various tasks due to large training datasets and powerful transformer architecture. However, the reliability of responses from LLMs remains a question.…

Computation and Language · Computer Science 2025-02-26 Tiejin Chen , Xiaoou Liu , Longchao Da , Jia Chen , Vagelis Papalexakis , Hua Wei

Uncertainty quantification (UQ) is vital for trustworthy deep learning, yet existing methods are either computationally intensive, such as Bayesian or ensemble methods, or provide only partial, task-specific estimates, such as…

Machine Learning · Computer Science 2025-09-18 Zhizhong Zhao , Ke Chen

Accurate uncertainty quantification (UQ) in Large Language Models (LLMs) is critical for trustworthy deployment. While real-world language is inherently ambiguous, reflecting aleatoric uncertainty, existing UQ methods are typically…

Machine Learning · Computer Science 2026-01-30 Tim Tomov , Dominik Fuchsgruber , Tom Wollschläger , Stephan Günnemann

The role of uncertainty quantification (UQ) in deep learning has become crucial with growing use of predictive models in high-risk applications. Though a large class of methods exists for measuring deep uncertainties, in practice, the…

Machine Learning · Statistics 2019-11-01 Bindya Venkatesh , Jayaraman J. Thiagarajan

Applications of large language models often involve the generation of free-form responses, in which case uncertainty quantification becomes challenging. This is due to the need to identify task-specific uncertainties (e.g., about the…

Computation and Language · Computer Science 2024-10-21 Ziyu Wang , Chris Holmes

Uncertainty estimation is pivotal in machine learning, especially for classification tasks, as it improves the robustness and reliability of models. We introduce a novel `Epistemic Wrapping' methodology aimed at improving uncertainty…

Large Language Models (LLMs) have become increasingly pervasive, finding applications across many industries and disciplines. Ensuring the trustworthiness of LLM outputs is paramount, where Uncertainty Estimation (UE) plays a key role. In…

Computation and Language · Computer Science 2025-11-06 Kevin Wang , Subre Abdoul Moktar , Jia Li , Kangshuo Li , Feng Chen

We consider the problem of providing optimal uncertainty quantification (UQ) --- and hence rigorous certification --- for partially-observed functions. We present a UQ framework within which the observations may be small or large in number,…

Probability · Mathematics 2016-05-20 T. J. Sullivan , M. McKerns , D. Meyer , F. Theil , H. Owhadi , M. Ortiz

Artificial Intelligence (AI) is one of the most transformative technologies of the 21st century. The extent and scope of future AI capabilities remain a key uncertainty, with widespread disagreement on timelines and potential impacts. As…

Artificial Intelligence · Computer Science 2023-11-27 Kyle A. Kilian , Christopher J. Ventura , Mark M. Bailey

How can we quantify uncertainty if our favorite computational tool - be it a numerical, a statistical, or a machine learning approach, or just any computer model - provides single-valued output only? In this article, we introduce the Easy…

Methodology · Statistics 2023-07-25 Eva-Maria Walz , Alexander Henzi , Johanna Ziegel , Tilmann Gneiting

Uncertainty quantification (UQ) is a vital step in using mathematical models and simulations to take decisions. The field of cardiac simulation has begun to explore and adopt UQ methods to characterise uncertainty in model inputs and how…

Automatic action quality assessment (AQA) has attracted increasing attention due to its wide applications. However, most existing AQA methods employ deterministic models to predict the final score for each action, while overlooking the…

Computer Vision and Pattern Recognition · Computer Science 2025-01-06 Caixia Zhou , Yaping Huang

Uncertainty quantification is crucial to assess prediction quality of a machine learning model. In the case of Extreme Learning Machines (ELM), most methods proposed in the literature make strong assumptions on the data, ignore the…

Machine Learning · Statistics 2020-11-04 Fabian Guignard , Federico Amato , Mikhail Kanevski

The importance of uncertainty quantification is increasingly recognized in the diverse field of machine learning. Accurately assessing model prediction uncertainty can help provide deeper understanding and confidence for researchers and…

Machine Learning · Computer Science 2024-12-03 Tianyi Chen , Yingzhou Lu , Nan Hao , Yuanyuan Zhang , Capucine Van Rechem , Jintai Chen , Tianfan Fu

Attention mechanism is effective in both focusing the deep learning models on relevant features and interpreting them. However, attentions may be unreliable since the networks that generate them are often trained in a weakly-supervised…

Machine Learning · Statistics 2020-06-11 Jay Heo , Hae Beom Lee , Saehoon Kim , Juho Lee , Kwang Joon Kim , Eunho Yang , Sung Ju Hwang

Bayesian inference is often utilized for uncertainty quantification tasks. A recent analysis by Xu and Raginsky 2022 rigorously decomposed the predictive uncertainty in Bayesian inference into two uncertainties, called aleatoric and…

Machine Learning · Statistics 2023-07-25 Futoshi Futami , Tomoharu Iwata

Most uncertainty quantification (UQ) approaches provide a single scalar value as a measure of model reliability. However, different uncertainty measures could provide complementary information on the prediction confidence. Even measures…

Accurate estimation of uncertainty in deep learning is critical for deploying models in high-stakes domains such as medical diagnosis and autonomous decision-making, where overconfident predictions can lead to harmful outcomes. In practice,…

Machine Learning · Computer Science 2026-03-12 Xinran Xu , Xiuyi Fan
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