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Using a cyclotron based model problem, we demonstrate for the first time the applicability and usefulness of a uncertainty quantification (UQ) approach in order to construct surrogate models for quantities such as emittance, energy spread…

Accelerator Physics · Physics 2018-12-13 Andreas Adelmann

We introduce the first comprehensive approach to determine the uncertainty in volumetric Particle Tracking Velocimetry (PTV) measurements. Volumetric PTV is a state-of-the-art non-invasive flow measurement technique, which measures the…

Fluid Dynamics · Physics 2022-10-19 Sayantan Bhattacharya , Pavlos P. Vlachos

Kinetic equations play a major rule in modeling large systems of interacting particles. Recently the legacy of classical kinetic theory found novel applications in socio-economic and life sciences, where processes characterized by large…

Numerical Analysis · Mathematics 2017-06-26 Giacomo Dimarco , Lorenzo Pareschi , Mattia Zanella

The accessibility of spatially distributed data, enabled by affordable sensors, field, and numerical experiments, has facilitated the development of data-driven solutions for scientific problems, including climate change, weather…

Machine Learning · Computer Science 2023-11-09 Vardhan Dongre , Gurpreet Singh Hora

Regression tasks, notably in safety-critical domains, require proper uncertainty quantification, yet the literature remains largely classification-focused. In this light, we introduce a family of measures for total, aleatoric, and epistemic…

Machine Learning · Computer Science 2025-10-30 Christopher Bülte , Yusuf Sale , Gitta Kutyniok , Eyke Hüllermeier

An accurate description of information is relevant for a range of problems in atomistic machine learning (ML), such as crafting training sets, performing uncertainty quantification (UQ), or extracting physical insights from large datasets.…

Materials Science · Physics 2025-05-02 Daniel Schwalbe-Koda , Sebastien Hamel , Babak Sadigh , Fei Zhou , Vincenzo Lordi

When we use simulation to assess the performance of stochastic systems, the input models used to drive simulation experiments are often estimated from finite real-world data. There exist both input model and simulation estimation…

Methodology · Statistics 2021-08-10 Wei Xie , Cheng Li , Yuefeng Wu , Pu Zhang

Machine learning (ML) classification models are increasingly being used in a wide range of applications where it is important that predictions are accompanied by uncertainties, including in climate and earth observation, medical diagnosis…

Machine Learning · Computer Science 2025-11-13 Samuel Bilson , Maurice Cox , Anna Pustogvar , Andrew Thompson

Uncertainty quantification (UQ) in machine learning is currently drawing increasing research interest, driven by the rapid deployment of deep neural networks across different fields, such as computer vision, natural language processing, and…

Machine Learning · Computer Science 2022-08-26 Zongren Zou , Xuhui Meng , Apostolos F Psaros , George Em Karniadakis

Biochemical reaction models describing subcellular processes generally come with a large uncertainty. To be able to account for this during the modeling process, we have developed the R-package UQSA, performing uncertainty quantification…

Quantitative Methods · Quantitative Biology 2025-04-08 Andrei Kramer , Federica Milinanni , Jeanette Hellgren Kotaleski , Pierre Nyquist , Alexandra Jauhiainen , Olivia Eriksson

Techniques from artificial intelligence and machine learning are increasingly employed in nuclear theory, however, the uncertainties that arise from the complex parameter manifold encoded by the neural networks are often overlooked.…

Nuclear Theory · Physics 2025-10-29 Mengyao Huang , Kyle A. Wendt , Nicolas F. Schunck , Erika M. Holmbeck

Computer vision leveraging deep learning has achieved significant success in the last decade. Despite the promising performance of the existing deep models in the recent literature, the extent of models' reliability remains unknown.…

Computer Vision and Pattern Recognition · Computer Science 2020-04-13 Seyed Omid Sajedi , Xiao Liang

Uncertainty quantification (UQ) techniques are frequently used to ascertain output variability in systems with parametric uncertainty. Traditional algorithms for UQ are either system-agnostic and slow (such as Monte Carlo) or fast with…

Computation · Statistics 2015-03-19 Tuhin Sahai , Jose Miguel Pasini

Neural networks (NNs) often assign high confidence to their predictions, even for points far out-of-distribution, making uncertainty quantification (UQ) a challenge. When they are employed to model interatomic potentials in materials…

Machine Learning · Computer Science 2023-12-27 Aik Rui Tan , Shingo Urata , Samuel Goldman , Johannes C. B. Dietschreit , Rafael Gómez-Bombarelli

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

Uncertainty in medical image segmentation tasks, especially inter-rater variability, arising from differences in interpretations and annotations by various experts, presents a significant challenge in achieving consistent and reliable image…

Many applications of machine learning methods involve an iterative protocol in which data are collected, a model is trained, and then outputs of that model are used to choose what data to consider next. For example, one data-driven approach…

Machine Learning · Computer Science 2025-04-07 Clara Fannjiang , Stephen Bates , Anastasios N. Angelopoulos , Jennifer Listgarten , Michael I. Jordan

Uncertainty quantification for inverse problems in imaging has drawn much attention lately. Existing approaches towards this task define uncertainty regions based on probable values per pixel, while ignoring spatial correlations within the…

Computer Vision and Pattern Recognition · Computer Science 2024-01-23 Omer Belhasin , Yaniv Romano , Daniel Freedman , Ehud Rivlin , Michael Elad

Recent advances in deep learning have led to its widespread adoption across diverse domains, including medical imaging. This progress is driven by increasingly sophisticated model architectures, such as ResNets, Vision Transformers, and…

Computer Vision and Pattern Recognition · Computer Science 2026-04-24 Akshat Dubey , Aleksandar Anžel , Bahar İlgen , Georges Hattab

Although uncertainty quantification has been making its way into nuclear theory, these methods have yet to be explored in the context of reaction theory. For example, it is well known that different parameterizations of the optical…

Nuclear Theory · Physics 2017-03-01 A. E. Lovell , F. M. Nunes , J. Sarich , S. M. Wild