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Multifidelity uncertainty quantification (MF UQ) sampling approaches have been shown to significantly reduce the variance of statistical estimators while preserving the bias of the highest-fidelity model, provided that the low-fidelity…

Data Analysis, Statistics and Probability · Physics 2023-08-16 Xiaoshu Zeng , Gianluca Geraci , Michael S. Eldred , John D. Jakeman , Alex A. Gorodetsky , Roger Ghanem

Effective Uncertainty Quantification (UQ) represents a key aspect for reliable deployment of Large Language Models (LLMs) in automated decision-making and beyond. Yet, for LLM generation with multiple choice structure, the state-of-the-art…

Machine Learning · Computer Science 2025-11-18 Ramzi Dakhmouche , Adrien Letellier , Hossein Gorji

Neutron noise analysis is a predominant technique for fissile matter identification with passive methods. Quantifying the uncertainties associated with the estimated nuclear parameters is crucial for decision-making. A conservative…

Applications · Statistics 2024-10-03 Paul Lartaud , Philippe Humbert , Josselin Garnier

The ability to replicate predictions by machine learning (ML) or artificial intelligence (AI) models and results in scientific workflows that incorporate such ML/AI predictions is driven by numerous factors. An uncertainty-aware metric that…

Machine Learning · Computer Science 2023-08-28 Line Pouchard , Kristofer G. Reyes , Francis J. Alexander , Byung-Jun Yoon

Despite their importance for assessing reliability of predictions, uncertainty quantification (UQ) measures for machine learning models have only recently begun to be rigorously characterized. One prominent issue is the curse of…

Machine Learning · Statistics 2023-07-27 Liam Hodgkinson , Chris van der Heide , Fred Roosta , Michael W. Mahoney

Reliable uncertainty quantification (UQ) in machine learning (ML) regression tasks is becoming the focus of many studies in materials and chemical science. It is now well understood that average calibration is insufficient, and most studies…

Machine Learning · Statistics 2024-01-25 Pascal Pernot

Deep learning-based surrogate models have demonstrated remarkable advantages over classical solvers in terms of speed, often achieving speedups of 10 to 1000 times over traditional partial differential equation (PDE) solvers. However, a…

Machine Learning · Computer Science 2024-02-14 Tailin Wu , Willie Neiswanger , Hongtao Zheng , Stefano Ermon , Jure Leskovec

We introduce a novel approach for calibrating uncertainty quantification (UQ) tailored for multi-modal large language models (LLMs). Existing state-of-the-art UQ methods rely on consistency among multiple responses generated by the LLM on…

A framework is developed based on different uncertainty quantification (UQ) techniques in order to assess validation and verification (V&V) metrics in computational physics problems, in general, and computational fluid dynamics (CFD), in…

Computational Physics · Physics 2020-07-15 Saleh Rezaeiravesh , Ricardo Vinuesa , Philipp Schlatter

Treating uncertainties in models is essential in many fields of science and engineering. Uncertainty quantification (UQ) on complex and computationally costly numerical models necessitates a combination of efficient model solvers, advanced…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-04-28 Linus Seelinger , Anne Reinarz , Jean Benezech , Mikkel Bue Lykkegaard , Lorenzo Tamellini , Robert Scheichl

This paper provides a comparative study of modern uncertainty quantification (UQ) methods. To greatly enhance real-time performance, both differential algebra (DA) and a directional differential algebra (DDA) approach are employed. This can…

Systems and Control · Electrical Eng. & Systems 2026-05-26 Ethan R. Burnett , Spencer Boone

Increased usage of automated tools like deep learning in medical image segmentation has alleviated the bottleneck of manual contouring. This has shifted manual labour to quality assessment (QA) of automated contours which involves detecting…

Computer Vision and Pattern Recognition · Computer Science 2024-09-06 Prerak Mody , Nicolas F. Chaves-de-Plaza , Chinmay Rao , Eleftheria Astrenidou , Mischa de Ridder , Nienke Hoekstra , Klaus Hildebrandt , Marius Staring

We present an enriched formulation of the Least Squares (LSQ) regression method for Uncertainty Quantification (UQ) using generalised polynomial chaos (gPC). More specifically, we enrich the linear system with additional equations for the…

Numerical Analysis · Mathematics 2023-08-09 Kyriakos D. Kantarakias , George Papadakis

Ice sheet simulations suffer from vast parametric uncertainties, such as the basal sliding boundary condition or geothermal heat flux. Quantifying the resulting uncertainties in predictions is of utmost importance to support judicious…

Geophysics · Physics 2024-12-10 Nicole Aretz , Max Gunzburger , Mathieu Morlighem , Karen Willcox

In this paper, we present an uncertainty-aware INVASE to quantify predictive confidence of healthcare problem. By introducing learnable Gaussian distributions, we lever-age their variances to measure the degree of uncertainty. Based on the…

Machine Learning · Computer Science 2021-05-07 Jia-Xing Zhong , Hongbo Zhang

Reliable uncertainty quantification (UQ) is essential for ensuring trustworthy downstream use of large language models, especially when they are deployed in decision-support and other knowledge-intensive applications. Model certainty can be…

Computation and Language · Computer Science 2025-11-04 Autumn Toney-Wails , Ryan Wails

In image reconstruction, an accurate quantification of uncertainty is of great importance for informed decision making. Here, the Bayesian approach to inverse problems can be used: the image is represented through a random function that…

Numerical Analysis · Mathematics 2025-04-24 Jonas Latz , Aretha L. Teckentrup , Simon Urbainczyk

By formulating the inverse problem of partial differential equations (PDEs) as a statistical inference problem, the Bayesian approach provides a general framework for quantifying uncertainties. In the inverse problem of PDEs, parameters are…

Numerical Analysis · Mathematics 2026-02-10 Haoyu Lu , Junxiong Jia , Deyu Meng

Airfoil icing is a severe safety hazard in aviation and causes power losses on wind turbines. The precise shape of the ice formation is subject to large uncertainties, so uncertainty quantification (UQ) is needed for a reliable prediction…

Fluid Dynamics · Physics 2023-07-21 Jakob Dürrwächter , Andrea Beck , Claus-Dieter Munz

In a standard Quantum Sensing (QS) task one aims at estimating an unknown parameter $\theta$, encoded into an $n$-qubit probe state, via measurements of the system. The success of this task hinges on the ability to correlate changes in the…