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Neural operators (NOs) provide fast, resolution-invariant surrogates for mapping input fields to PDE solution fields, but their predictions can exhibit significant epistemic uncertainty due to finite data, imperfect optimization, and…

机器学习 · 计算机科学 2026-03-13 Haoze Song , Zhihao Li , Mengyi Deng , Xin Li , Duyi Pan , Zhilu Lai , Wei Wang

The Best Estimate plus Uncertainty (BEPU) approach for nuclear systems modeling and simulation requires that the prediction uncertainty must be quantified in order to prove that the investigated design stays within acceptance criteria. A…

统计计算 · 统计学 2023-03-24 Ziyu Xie , Farah Alsafadi , Xu Wu

High-dimensional tensor data often exhibit strong temporal correlations that appear as low-dimensional structures in the frequency domain. While the low-tubal-rank tensor model effectively captures these spectral features, making it…

统计方法学 · 统计学 2026-04-14 Jiuqian Shang , Jingyang Li , Yang Chen

This paper presents a pilot study introducing a multimodal fusion framework for the detection and analysis of bridge defects, integrating Non-Destructive Evaluation (NDE) techniques with advanced image processing to enable precise…

计算机视觉与模式识别 · 计算机科学 2025-07-10 Ravi Datta Rachuri , Duoduo Liao , Samhita Sarikonda , Datha Vaishnavi Kondur

Accurate predictions and uncertainty quantification (UQ) are essential for decision-making in risk-sensitive fields such as system safety modeling. Deep ensembles (DEs) are efficient and scalable methods for UQ in Deep Neural Networks…

机器学习 · 计算机科学 2024-12-13 Zaid Abulawi , Rui Hu , Prasanna Balaprakash , Yang Liu

Uncertainty quantification (UQ) is a crucial but challenging task in many high-dimensional regression or learning problems to increase the confidence of a given predictor. We develop a new data-driven approach for UQ in regression that…

机器学习 · 计算机科学 2024-07-19 Frederik Hoppe , Claudio Mayrink Verdun , Hannah Laus , Felix Krahmer , Holger Rauhut

Uncertainty Quantification (UQ) is a key discipline for computational modeling of complex systems, enhancing reliability of engineering simulations. In crashworthiness, having an accurate assessment of the behavior of the model uncertainty…

统计方法学 · 统计学 2021-09-17 Marc Rocas , Alberto García-González , Sergio Zlotnik , Xabier Larráyoz , Pedro Díez

The assumption of no unmeasured confounders is a critical but unverifiable assumption required for causal inference yet quantitative sensitivity analyses to assess robustness of real-world evidence remains underutilized. The lack of use is…

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…

计算工程、金融与科学 · 计算机科学 2025-01-03 Feng Wu , Yuelin Zhao , Li Zhu

In this paper, we propose to construct confidence bands by bootstrapping the debiased kernel density estimator (for density estimation) and the debiased local polynomial regression estimator (for regression analysis). The idea of using a…

统计方法学 · 统计学 2019-06-06 Gang Cheng , Yen-Chi Chen

Composite materials/structures are advancing in product efficiency, cost-effectiveness and the development of superior specific properties. There are increasing demands in their applications to load-carrying structures in aerospace, wind…

应用物理 · 物理学 2020-03-05 Bing Wang , Shuncong Zhong , Tung-Lik Lee , Kevin S Fancey , Jiawei Mi

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

Uncertainty quantification (UQ) plays a critical role in verifying and validating forward integrated computational materials engineering (ICME) models. Among numerous ICME models, the crystal plasticity finite element method (CPFEM) is a…

材料科学 · 物理学 2023-01-27 Anh Tran , Pieterjan Robbe , Tim Wildey , David Montes de Oca Zapiain , Hojun Lim

Assessing the quality of aleatoric uncertainty estimates from uncertainty quantification (UQ) deep learning methods is important in scientific contexts, where uncertainty is physically meaningful and important to characterize and interpret…

机器学习 · 计算机科学 2024-11-14 Rebecca Nevin , Aleksandra Ćiprijanović , Brian D. Nord

Many problems in engineering and sciences require the solution of large scale optimization constrained by partial differential equations (PDEs). Though PDE-constrained optimization is itself challenging, most applications pose additional…

最优化与控制 · 数学 2020-01-06 Joseph Hart , Bart van Bloemen Waanders , Roland Herzog

We propose a robust inferential procedure for assessing uncertainties of parameter estimation in high-dimensional linear models, where the dimension $p$ can grow exponentially fast with the sample size $n$. Our method combines the…

机器学习 · 统计学 2015-03-19 Tianqi Zhao , Mladen Kolar , Han Liu

The temperature developed in bondwires of integrated circuits (ICs) is a possible source of malfunction, and has to be taken into account during the design phase of an IC. Due to manufacturing tolerances, a bondwire's geometrical…

计算工程、金融与科学 · 计算机科学 2019-06-26 D. Loukrezis , U. Römer , T. Casper , S. Schöps , H. De Gersem

On top of machine learning models, uncertainty quantification (UQ) functions as an essential layer of safety assurance that could lead to more principled decision making by enabling sound risk assessment and management. The safety and…

机器学习 · 计算机科学 2024-03-28 Venkat Nemani , Luca Biggio , Xun Huan , Zhen Hu , Olga Fink , Anh Tran , Yan Wang , Xiaoge Zhang , Chao Hu

Uncertainty quantification (UQ) is the process of systematically determining and characterizing the degree of confidence in computational model predictions. In the context of systems biology, especially with dynamic models, UQ is crucial…

机器学习 · 统计学 2024-10-29 Alberto Portela , Julio R. Banga , Marcos Matabuena

Uncertainty quantification (UQ) in scientific machine learning is increasingly critical as neural networks are widely adopted to tackle complex problems across diverse scientific disciplines. For physics-informed neural networks (PINNs), a…

机器学习 · 统计学 2025-10-20 Frank Shih , Zhenghao Jiang , Faming Liang
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