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Critical decisions frequently rely on high-dimensional output from complex computer simulation models that show intricate cross-variable, spatial and temporal dependence structures, with weather and climate predictions being key examples.…

统计方法学 · 统计学 2013-12-24 Roman Schefzik , Thordis L. Thorarinsdottir , Tilmann Gneiting

Many quantum technologies rely on high-precision dynamics, which raises the question of how these are influenced by the experimental uncertainties that are always present in real-life settings. A standard approach in the literature to…

量子物理 · 物理学 2022-04-27 Mogens Dalgaard , Carrie A. Weidner , Felix Motzoi

Computational aspects increasingly shape environmental sciences. Actually, transdisciplinary modelling of complex and uncertain environmental systems is challenging computational science (CS) and also the science-policy interface. Large…

系统与控制 · 计算机科学 2014-02-11 Daniele de Rigo

In order to achieve a more virtual design and certification process of jet engines in aviation industry, the uncertainty bounds for computational fluid dynamics have to be known. This work shows the application of a machine learning…

计算工程、金融与科学 · 计算机科学 2022-02-07 Marcel Matha , Christian Morsbach

Multi-model ensembles provide a pragmatic approach to the representation of model uncertainty in climate prediction. However, such representations are inherently ad hoc, and, as shown, probability distributions of climate variables based on…

大气与海洋物理 · 物理学 2009-08-26 T. N. Palmer , F. J. Doblas-Reyes , A. Weisheimer , G. J. Shutts , J. Berner , J. M. Murphy

Computer models, aiming at simulating a complex real system, are often calibrated in the light of data to improve performance. Standard calibration methods assume that the optimal values of calibration parameters are invariant to the model…

统计方法学 · 统计学 2017-09-01 Georgios Karagiannis , Bledar A. Konomi , Guang Lin

A promising approach to improve climate-model simulations is to replace traditional subgrid parameterizations based on simplified physical models by machine learning algorithms that are data-driven. However, neural networks (NNs) often lead…

大气与海洋物理 · 物理学 2021-04-07 Janni Yuval , Paul A. O'Gorman , Chris N. Hill

Statistical models typically capture uncertainties in our knowledge of the corresponding real-world processes, however, it is less common for this uncertainty specification to capture uncertainty surrounding the values of the inputs to the…

统计方法学 · 统计学 2023-05-10 Samuel E. Jackson , David C. Woods

Explicit quantification of uncertainty in engineering simulations is being increasingly used to inform robust and reliable design practices. In the aerospace industry, computationally-feasible analyses for design optimization purposes often…

流体动力学 · 物理学 2019-11-13 Jayant Mukhopadhaya , Brian T. Whitehead , John F. Quindlen , Juan J. Alonso

Atmospheric aerosols influence the Earth's climate, primarily by affecting cloud formation and scattering visible radiation. However, aerosol-related physical processes in climate simulations are highly uncertain. Constraining these…

Modeling environmental ecosystems is critical for the sustainability of our planet, but is extremely challenging due to the complex underlying processes driven by interactions amongst a large number of physical variables. As many variables…

机器学习 · 计算机科学 2025-10-13 Shiyuan Luo , Juntong Ni , Shengyu Chen , Runlong Yu , Yiqun Xie , Licheng Liu , Zhenong Jin , Huaxiu Yao , Xiaowei Jia

Numerical models based on Reynolds-Averaged Navier-Stokes (RANS) equations are widely used in engineering turbulence modeling. However, the RANS predictions have large model-form uncertainties for many complex flows. Quantification of these…

计算物理 · 物理学 2017-01-25 Jian-Xun Wang , Rui Sun , Heng Xiao

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…

机器学习 · 计算机科学 2025-11-13 Samuel Bilson , Maurice Cox , Anna Pustogvar , Andrew Thompson

Turbulent dynamical systems characterized by both a high-dimensional phase space and a large number of instabilities are ubiquitous among many complex systems in science and engineering. The existence of a strange attractor in the turbulent…

流体动力学 · 物理学 2018-02-23 Andrew J. Majda , Di Qi

In this second part of our two-part paper, we provide a detailed, frequentist framework for propagating uncertainties within our multivariate linear least squares model. This permits us to quantify the impact of uncertainties in…

应用统计 · 统计学 2019-08-09 Pranay Seshadri , Andrew Duncan , Duncan Simpson , George Thorne , Geoffrey Parks

We present a simple comparative framework for testing and developing uncertainty modeling in uncertain marching cubes implementations. The selection of a model to represent the probability distribution of uncertain values directly…

人机交互 · 计算机科学 2024-09-16 Robert Sisneros , Tushar M. Athawale , David Pugmire , Kenneth Moreland

Predicting future probable values of model parameters, is an essential pre-requisite for assessing model decision reliability in an uncertain environment. Scenario Analysis is a methodology for modelling uncertainty in water resources…

统计方法学 · 统计学 2013-04-17 Seyed Hamed Alemohammad , Reza Ardakanian , Akbar Karimi

With the ever-increasing use of Reynolds-Averaged Navier--Stokes (RANS) simulations in mission-critical applications, the quantification of model-form uncertainty in RANS models has attracted attention in the turbulence modeling community.…

流体动力学 · 物理学 2017-03-28 Heng Xiao , Jian-Xun Wang , Roger G. Ghanem

We propose a modification of a maximum likelihood procedure for tuning parameter values in models, based upon the comparison of their output to field data. Our methodology, which uses polynomial approximations of the sample space to…

数据分析、统计与概率 · 物理学 2013-07-03 Nusret Balci , Juan M. Restrepo , Shankar C. Venkataramani

Climate models are often affected by long-term drift that is revealed by the evolution of global variables such as the ocean temperature or the surface air temperature. This spurious trend reduces the fidelity to initial conditions and has…

大气与海洋物理 · 物理学 2017-09-20 Maura Brunetti , Christian Vérard