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We propose a rigorous framework for Uncertainty Quantification (UQ) in which the UQ objectives and the assumptions/information set are brought to the forefront. This framework, which we call \emph{Optimal Uncertainty Quantification} (OUQ),…

Probability · Mathematics 2016-05-20 Houman Owhadi , Clint Scovel , Timothy John Sullivan , Mike McKerns , Michael Ortiz

Uncertainty quantification (UQ) is a critical aspect of artificial intelligence (AI) systems, particularly in high-risk domains such as healthcare, autonomous systems, and financial technology, where decision-making processes must account…

The estimation of uncertainties associated with predictions from quantitative structure-activity relationship (QSAR) models can accelerate the drug discovery process by identifying promising experiments and allowing an efficient allocation…

Machine Learning · Computer Science 2025-02-07 Hannah Rosa Friesacher , Emma Svensson , Susanne Winiwarter , Lewis Mervin , Adam Arany , Ola Engkvist

As Large Language Models (LLMs) are increasingly deployed in real-world applications, reliable uncertainty quantification (UQ) becomes critical for safe and effective use. Most existing UQ approaches for language models aim to produce a…

Computation and Language · Computer Science 2026-04-14 Maiya Goloburda , Roman Vashurin , Fedor Chernogorsky , Nurkhan Laiyk , Daniil Orel , Preslav Nakov , Maxim Panov

Deep learning is gaining increasing popularity for spatiotemporal forecasting. However, prior works have mostly focused on point estimates without quantifying the uncertainty of the predictions. In high stakes domains, being able to…

Artificial Intelligence · Computer Science 2021-06-15 Dongxia Wu , Liyao Gao , Xinyue Xiong , Matteo Chinazzi , Alessandro Vespignani , Yi-An Ma , Rose Yu

Uncertainty quantification (UQ) provides a resource-efficient solution for on-device monitoring of tinyML models deployed without access to true labels. However, existing UQ methods impose significant memory and compute demands, making them…

Machine Learning · Computer Science 2024-11-19 Nikhil P Ghanathe , Steven J E Wilton

With the increased use of data-driven approaches and machine learning-based methods in material science, the importance of reliable uncertainty quantification (UQ) of the predicted variables for informed decision-making cannot be…

Machine Learning · Computer Science 2024-05-15 Longze Li , Jiang Chang , Aleksandar Vakanski , Yachun Wang , Tiankai Yao , Min Xian

Large Language Models (LLMs) are increasingly deployed to autonomously solve real-world tasks. A key ingredient for this is the LLM Function-Calling paradigm, a widely used approach for equipping LLMs with tool-use capabilities. However, an…

Computation and Language · Computer Science 2026-04-28 Zihuiwen Ye , Lukas Aichberger , Michael Kirchhof , Sinead Williamson , Luca Zappella , Yarin Gal , Arno Blaas , Adam Golinski

Deep learning has been shown to be highly effective for automatic modulation classification (AMC), which is a pivotal technology for next-generation cognitive communications. Yet, existing deep learning methods for AMC often lack robust…

Signal Processing · Electrical Eng. & Systems 2025-12-03 Huian Yang , Rajeev Sahay

Activity recognition in wearable computing faces two key challenges: i) activity characteristics may be context-dependent and change under different contexts or situations; ii) unknown contexts and activities may occur from time to time,…

Machine Learning · Computer Science 2020-03-05 Zepeng Huo , Arash PakBin , Xiaohan Chen , Nathan Hurley , Ye Yuan , Xiaoning Qian , Zhangyang Wang , Shuai Huang , Bobak Mortazavi

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

Large molecular representation models pre-trained on massive unlabeled data have shown great success in predicting molecular properties. However, these models may tend to overfit the fine-tuning data, resulting in over-confident predictions…

Chemical Physics · Physics 2024-04-18 Yinghao Li , Lingkai Kong , Yuanqi Du , Yue Yu , Yuchen Zhuang , Wenhao Mu , Chao Zhang

It is necessary to estimate the expected energy usage of a building to determine how to reduce energy usage. The expected energy usage of a building can be reliably simulated using a Building Energy Model (BEM). Many of the numerous input…

Computational Engineering, Finance, and Science · Computer Science 2020-04-21 Arpan Mukherjee , Anna Kuechle Szweda , Andrew Alegria , Rahul Rai , Tarunraj Singh

In the context of Monte Carlo (MC) simulation of particle transport Uncertainty Quantification (UQ) addresses the issue of predicting non statistical errors affecting the physical results, i.e. errors deriving mainly from uncertainties in…

Computational Physics · Physics 2015-06-18 Paolo Saracco , Maria Grazia Pia

Time-series with volatility clustering pose a unique challenge to uncertainty quantification (UQ) for returns forecasts. Methods for UQ such as Deep Evidential regression offer a simple way of quantifying return forecast uncertainty without…

Statistical Finance · Quantitative Finance 2024-09-20 Steven Y. K. Wong , Jennifer S. K. Chan , Lamiae Azizi

Uncertainty quantification (UQ) in computational chemistry (CC) is still in its infancy. Very few CC methods are designed to provide a confidence level on their predictions, and most users still rely improperly on the mean absolute error as…

Chemical Physics · Physics 2022-03-21 Pascal Pernot

Assessing classification confidence is critical for leveraging large language models (LLMs) in automated labeling tasks, especially in the sensitive domains presented by Computational Social Science (CSS) tasks. In this paper, we make three…

Human-Computer Interaction · Computer Science 2024-11-05 David Farr , Iain Cruickshank , Nico Manzonelli , Nicholas Clark , Kate Starbird , Jevin West

This paper addresses uncertainty quantification (UQ) for problems where scalar (or low-dimensional vector) response quantities are insufficient and, instead, full-field (very high-dimensional) responses are of interest. To do so, an…

Probability · Mathematics 2018-04-18 D. G Giovanis , M. D. Shields

Estimating uncertainty is at the core of performing scientific measurements in HEP: a measurement is not useful without an estimate of its uncertainty. The goal of uncertainty quantification (UQ) is inextricably linked to the question, "how…

High Energy Physics - Experiment · Physics 2022-11-02 Thomas Y. Chen , Biprateep Dey , Aishik Ghosh , Michael Kagan , Brian Nord , Nesar Ramachandra

Inverse problems play a key role in modern image/signal processing methods. However, since they are generally ill-conditioned or ill-posed due to lack of observations, their solutions may have significant intrinsic uncertainty. Analysing…

Signal Processing · Electrical Eng. & Systems 2019-09-09 Xiaohao Cai , Marcelo Pereyra , Jason D. McEwen
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