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This paper presents a comparison of two multi-fidelity methods for the forward uncertainty quantification of a naval engineering problem. Specifically, we consider the problem of quantifying the uncertainty of the hydrodynamic resistance of…

Calibrating a Reynolds-averaged Navier-Stokes (RANS) model against data leads to an improvement. Determining {\it a priori} if such an improvement generalizes to flows outside the calibration data is an outstanding challenge. This work…

流体动力学 · 物理学 2023-03-07 Xinyi Huang , Naman Jain , Mahdi Abkar , Robert Kunz , Xiang Yang

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…

地球物理 · 物理学 2024-12-10 Nicole Aretz , Max Gunzburger , Mathieu Morlighem , Karen Willcox

We address the challenge of constructing noise-robust surrogate models for quantities of interest (QoIs) arising from parametric partial differential equations (PDEs), using multi-fidelity collocation techniques; specifically, the…

数值分析 · 数学 2026-02-17 Benjamin M. Kent , Lorenzo Tamellini , Matteo Giacomini , Antonio Huerta

Sensitivity analysis (SA) and uncertainty quantification (UQ) are used to assess and improve engineering models. In this study, various methods of SA and UQ are described and applied in theoretical and practical examples for use in energy…

应用统计 · 统计学 2022-07-07 Majdi I. Radaideh , Mohammad I. Radaideh

We consider two approaches for assessing the reliability of the individual predictions of a classifier: Robustness Quantification (RQ) and Uncertainty Quantification (UQ). We explain the conceptual differences between the two approaches,…

机器学习 · 计算机科学 2026-03-25 Adrián Detavernier , Jasper De Bock

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…

计算物理 · 物理学 2020-07-15 Saleh Rezaeiravesh , Ricardo Vinuesa , Philipp Schlatter

We consider two conceptually different approaches for assessing the reliability of the individual predictions of a classifier: Robustness Quantification (RQ) and Uncertainty Quantification (UQ). We compare both approaches on a number of…

机器学习 · 计算机科学 2025-12-18 Adrián Detavernier , Jasper De Bock

Predicting fuel assembly bow in pressurized water reactors requires solving tightly coupled fluid-structure interaction problems, whose direct simulations can be computationally prohibitive, making large-scale uncertainty quantification…

应用统计 · 统计学 2026-01-27 Ali Abboud , Josselin Garnier , Bertrand Leturcq , Stanislas de Lambert

It is well known that Boussinesq turbulent-viscosity hypothesis can introduce uncertainty in predictions for complex flow features such as separation, reattachment, and laminar-turbulent transition. This study adopts a recent physics-based…

流体动力学 · 物理学 2022-10-19 Minghan Chu , Xiaohua Wu , David E. Rival

Characterizing the morpho-mechanical properties of red blood cells (RBCs) is crucial for understanding microvascular transport mechanisms and cellular pathophysiological processes, yet current computational models are constrained by…

生物物理 · 物理学 2025-08-12 Shuo Wang , Lei Ma , Ling Guo , Xuejin Li , Tao Zhou

The goal of this paper is to demonstrate and address challenges related to all aspects of performing a complete uncertainty quantification analysis of a complicated physics-based simulation like a 2D slab burner direct numerical simulation…

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…

数据分析、统计与概率 · 物理学 2023-08-16 Xiaoshu Zeng , Gianluca Geraci , Michael S. Eldred , John D. Jakeman , Alex A. Gorodetsky , Roger Ghanem

A general adaptive approach rooted in stratified sampling (SS) is proposed for sample-based uncertainty quantification (UQ). To motivate its use in this context the space-filling, orthogonality, and projective properties of SS are compared…

统计方法学 · 统计学 2015-12-14 Michael D. Shields , Kirubel Teferra , Adam Hapij , Raymond P. Daddazio

We propose a new and intuitive metric for aleatoric uncertainty quantification (UQ), the prevalence of class collisions defined as the same input being observed in different classes. We use the rate of class collisions to define the…

机器学习 · 计算机科学 2026-03-19 Jesse Friedbaum , Sudarshan Adiga , Ravi Tandon

Wind gusts, being inherently stochastic, can significantly influence the safety and performance of aircraft. This study investigates a three-dimensional uncertainty quantification (UQ) problem to explore how uncertainties in gust and flight…

计算工程、金融与科学 · 计算机科学 2025-01-08 Bingran Wang , Michael Warner , Aoran Tian , Luca Scotzniovsky , John T. Hwang

Machine learning methods for the construction of data-driven reduced order model models are used in an increasing variety of engineering domains, especially as a supplement to expensive computational fluid dynamics for design problems. An…

机器学习 · 统计学 2023-06-28 Stephen Guth , Alireza Mojahed , Themistoklis P. Sapsis

As machine learning (ML) models are increasingly deployed in high-stakes domains, trustworthy uncertainty quantification (UQ) is critical for ensuring the safety and reliability of these models. Traditional UQ methods rely on specifying a…

机器学习 · 统计学 2025-05-14 Abhineet Agarwal , Michael Xiao , Rebecca Barter , Omer Ronen , Boyu Fan , Bin Yu

Inverse uncertainty quantification (UQ) tasks such as parameter estimation are computationally demanding whenever dealing with physics-based models, and typically require repeated evaluations of complex numerical solvers. When partial…

机器学习 · 计算机科学 2025-12-19 Filippo Zacchei , Paolo Conti , Attilio Alberto Frangi , Andrea Manzoni

Predicting the behavior of complex systems in engineering often involves significant uncertainty about operating conditions, such as external loads, environmental effects, and manufacturing variability. As a result, uncertainty…

统计计算 · 统计学 2025-07-17 S. Marelli , S. Schär , B. Sudret
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