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Building design optimization often depends on physics-based simulation tools such as EnergyPlus, which, although accurate, are computationally expensive and slow. Surrogate models provide a faster alternative, yet most are…

Machine Learning · Computer Science 2026-03-13 Piragash Manmatharasan , Girma Bitsuamlak , Katarina Grolinger

In uncertainty quantification, variance-based global sensitivity analysis quantitatively determines the effect of each input random variable on the output by partitioning the total output variance into contributions from each input.…

Numerical Analysis · Mathematics 2024-05-28 Dongjin Lee , Elle Lavichant , Boris Kramer

Heteroscedastic Gaussian process regression, based on the concept of chained Gaussian processes, is used to build surrogates to predict site-specific loads on an offshore wind turbine. Stochasticity in the inflow turbulence and irregular…

Applications · Statistics 2022-06-15 Deepali Singh , Richard P. Dwight , Kasper Laugesen , Laurent Beaudet , Axelle Viré

Development of new multiscale mathematical models often entails considerable complexity and multiple undetermined parameters, typically arising from closure relations. To enable reliable simulations, one must quantify how uncertain physical…

Numerical Analysis · Mathematics 2026-02-26 Linheng Ruan , Ilja Kröker , Sergey Oladyshkin , Iryna Rybak

Numerical models of the ocean and ice sheets are crucial for understanding and simulating the impact of greenhouse gases on the global climate. Oceanic processes affect phenomena such as hurricanes, extreme precipitation, and droughts.…

This paper deals with some of the methodologies used to construct polynomial surrogate models based on generalized polynomial chaos (gPC) expansions for applications to uncertainty quantification (UQ) in aerodynamic computations. A core…

Fluid Dynamics · Physics 2018-03-14 Eric Savin , Andrea Resmini , Jacques Peter

This study presents a probabilistic surrogate model for localized wildfire spread based on a conditional flow matching algorithm. The approach models fire progression as a stochastic process by learning the conditional distribution of fire…

Machine Learning · Computer Science 2026-03-31 Bryan Shaddy , Haitong Qin , Brianna Binder , James Haley , Riya Duddalwar , Kyle Hilburn , Assad Oberai

Global sensitivity analysis is now established as a powerful approach for determining the key random input parameters that drive the uncertainty of model output predictions. Yet the classical computation of the so-called Sobol' indices is…

Computation · Statistics 2016-06-16 L. Le Gratiet , S. Marelli , B. Sudret

Global sensitivity analysis aims at quantifying the impact of input variability onto the variation of the response of a computational model. It has been widely applied to deterministic simulators, for which a set of input parameters has a…

Computation · Statistics 2021-06-01 X. Zhu , B. Sudret

Thanks to recent advances in generative AI, computers can now simulate realistic and complex natural processes. We apply this capability to predict how wildfires spread, a task made difficult by the unpredictable nature of fire and the…

Machine Learning · Computer Science 2026-03-24 Wenbo Yu , Anirbit Ghosh , Tobias Sebastian Finn , Rossella Arcucci , Marc Bocquet , Sibo Cheng

This paper presents an efficient surrogate modeling strategy for the uncertainty quantification and Bayesian calibration of a hydrological model. In particular, a process-based dynamical urban drainage simulator that predicts the discharge…

Computation · Statistics 2019-11-14 Joseph B. Nagel , Jörg Rieckermann , Bruno Sudret

Several applications such as nuclear forensics, nuclear fuel cycle simulations and sensitivity analysis require methods to quickly compute spent fuel nuclide compositions for various irradiation histories. Traditionally, this has been done…

Computational Physics · Physics 2021-03-16 Antonio Figueroa , Malte Goettsche

Biomolecules exhibit conformational fluctuations near equilibrium states, inducing uncertainty in various biological properties in a dynamic way. We have developed a general method to quantify the uncertainty of target properties induced by…

Biomolecules · Quantitative Biology 2018-10-02 Huan Lei , Xiu Yang , Bin Zheng , Guang Lin , Nathan A. Baker

Turbulence is of paramount importance in wildland fire propagation since it randomly transports the hot air mass that can pre-heat and then ignite the area ahead the fire. This contributes to give a random character to the firefront…

Atmospheric and Oceanic Physics · Physics 2014-08-27 Gianni Pagnini , Luca Massidda

Neural network surrogate models have emerged as a promising approach to model solution fields for a wide variety of boundary value problems encountered in physical modeling. Stochastic problems represent an area of particularly high…

Machine Learning · Statistics 2026-05-18 Noah Wade , Kirubel Teferra

Crystal plasticity models are a powerful tool for predicting the deformation behaviour of polycrystalline materials accounting for the underlying grain morphology and texture. These models typically have a large number of parameters, an…

Materials Science · Physics 2023-12-20 Hugh Dorward , David M. Knowles , Eralp Demir , Mahmoud Mostafavi , Matthew J. Peel

Storm surge is a significant threat to coastal communities across the globe, responsible for loss of life and enormous property damage. Consequently, significant efforts have been expended to develop high-fidelity physics-based models for…

Computational Engineering, Finance, and Science · Computer Science 2026-03-30 Benjamin Pachev , Prateek Arora , Jinpai Zhao , Eirik Valseth

Efficient surrogate modelling is a key requirement for uncertainty quantification in data-driven scenarios. In this work, a novel approach of using Sparse Random Features for surrogate modelling in combination with self-supervised…

Machine Learning · Computer Science 2023-01-02 Maternus Herold , Anna Veselovska , Jonas Jehle , Felix Krahmer

Fault zones exhibit complex and heterogeneous permeability structures influenced by stratigraphic, compositional, and structural factors, making them critical yet uncertain components in subsurface flow modeling. In this study, we…

Geophysics · Physics 2025-11-14 Hannah Lu , Lluıs Salo-Salgado , Ruben Juanes

In the field of surrogate modeling, polynomial chaos expansion (PCE) allows practitioners to construct inexpensive yet accurate surrogates to be used in place of the expensive forward model simulations. For black-box simulations,…

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