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Machine learning interatomic potentials (MLIPs) enable accurate atomistic modelling, but reliable uncertainty quantification (UQ) remains elusive. In this study, we investigate two UQ strategies, ensemble learning and D-optimality, within…

Materials Science · Physics 2025-08-06 Fei Shuang , Zixiong Wei , Kai Liu , Wei Gao , Poulumi Dey

Despite the massive advancements in large language models (LLMs), they still suffer from producing plausible but incorrect responses. To improve the reliability of LLMs, recent research has focused on uncertainty quantification to predict…

Artificial Intelligence · Computer Science 2025-04-01 Yongjin Yang , Haneul Yoo , Hwaran Lee

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

Parameter inference and uncertainty quantification are important steps when relating mathematical models to real-world observations, and when estimating uncertainty in model predictions. However, methods for doing this can be…

Quantitative Methods · Quantitative Biology 2025-08-27 Michael J. Plank , Matthew J. Simpson

AI Uncertainty Quantification (UQ) has the potential to improve human decision-making beyond AI predictions alone by providing additional probabilistic information to users. The majority of past research on AI and human decision-making has…

Artificial Intelligence · Computer Science 2024-02-07 Laura R. Marusich , Jonathan Z. Bakdash , Yan Zhou , Murat Kantarcioglu

Uncertainty Quantification (UQ) has gained traction in an attempt to improve the interpretability and robustness of machine learning predictions. Specifically (medical) biosignals such as electroencephalography (EEG), electrocardiography…

Signal Processing · Electrical Eng. & Systems 2025-06-06 Ivo Pascal de Jong , Andreea Ioana Sburlea , Matias Valdenegro-Toro

Phase fractions, compositions and energies of the stable phases as a function of macroscopic composition, temperature, and pressure (X-T-P) are the principle correlations needed for the design of new materials and improvement of existing…

Materials Science · Physics 2020-02-04 Noah H Paulson , Brandon J Bocklund , Richard A Otis , Zi-Kui Liu , Marius Stan

Inverse Uncertainty Quantification (UQ), or Bayesian calibration, is the process to quantify the uncertainties of random input parameters based on experimental data. The introduction of model discrepancy term is significant because…

Applications · Statistics 2019-07-24 Xu Wu , Koroush Shirvan , Tomasz Kozlowski

Quantifying the impact of parametric and model-form uncertainty on the predictions of stochastic models is a key challenge in many applications. Previous work has shown that the relative entropy rate is an effective tool for deriving…

Probability · Mathematics 2020-09-04 Jeremiah Birrell , Markos A. Katsoulakis , Luc Rey-Bellet

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 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

How to accurately quantify the uncertainty of stochastic dynamical responses affected by uncertain loads and structural parameters is an important issue in structural safety and reliability analysis. In this paper, the conditional…

Computational Engineering, Finance, and Science · Computer Science 2025-01-03 Feng Wu , Yuelin Zhao , Li Zhu

This paper presents a computational framework that generates ensemble predictive mechanics models with uncertainty quantification (UQ). We first develop a causal discovery algorithm to infer causal relations among time-history data measured…

Machine Learning · Computer Science 2021-05-24 Xiao Sun , Bahador Bahmani , Nikolaos N. Vlassis , WaiChing Sun , Yanxun Xu

Uncertainty Quantification (UQ) is a promising approach to improve model reliability, yet quantifying the uncertainty of Large Language Models (LLMs) is non-trivial. In this work, we establish a connection between the uncertainty of LLMs…

Computation and Language · Computer Science 2025-10-16 Mingda Li , Xinyu Li , Weinan Zhang , Longxuan Ma

Epistemic uncertainty quantification (UQ) identifies where models lack knowledge. Traditional UQ methods, often based on Bayesian neural networks, are not suitable for pre-trained non-Bayesian models. Our study addresses quantifying…

Machine Learning · Computer Science 2024-04-17 Hanjing Wang , Qiang Ji

In recent years, large language models (LLMs) have become increasingly prevalent, offering remarkable text generation capabilities. However, a pressing challenge is their tendency to make confidently wrong predictions, highlighting the…

Computation and Language · Computer Science 2024-03-06 Xiang Gao , Jiaxin Zhang , Lalla Mouatadid , Kamalika Das

Machine learning (ML) is often viewed as a powerful data analysis tool that is easy to learn because of its black-box nature. Yet this very nature also makes it difficult to quantify confidence in predictions extracted from ML models, and…

Machine Learning · Computer Science 2025-09-30 Paul Patrone , Anthony Kearsley

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

While standard approaches to optimisation focus on producing a single high-performing solution, Quality-Diversity (QD) algorithms allow large diverse collections of such solutions to be found. If QD has proven promising across a large…

Neural and Evolutionary Computing · Computer Science 2023-04-27 Manon Flageat , Luca Grillotti , Antoine Cully

The development of large databases of material properties, together with the availability of powerful computers, has allowed machine learning (ML) modeling to become a widely used tool for predicting material performances. While confidence…

Materials Science · Physics 2023-10-23 Francesca Tavazza , Kamal Choudhary , Brian DeCost