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High-fidelity numerical simulations of chaotic, high dimensional nonlinear dynamical systems are computationally expensive, necessitating the development of efficient surrogate models. Most surrogate models for such systems are…

机器学习 · 计算机科学 2026-03-16 Dibyajyoti Chakraborty , Hojin Kim , Romit Maulik

Performing reliability analysis on complex systems is often computationally expensive. In particular, when dealing with systems having high input dimensionality, reliability estimation becomes a daunting task. A popular approach to overcome…

机器学习 · 统计学 2021-12-22 Navaneeth N. , Souvik Chakraborty

Stochastic inverse problems are generally solved by some form of finite sampling of a space of uncertain parameters. For computationally expensive models, surrogate response surfaces are often employed to increase the number of samples used…

数值分析 · 数学 2018-07-04 Steven Mattis , Barbara Wohlmuth

A critical bottleneck for scientific progress is the costly nature of computer simulations for complex systems. Surrogate models provide an appealing solution: such models are trained on simulator evaluations, then used to emulate and…

机器学习 · 统计学 2025-07-14 Xinming Wang , Simon Mak , John Miller , Jianguo Wu

This paper presents a physics and data co-driven surrogate modeling method for efficient rare event simulation of civil and mechanical systems with high-dimensional input uncertainties. The method fuses interpretable low-fidelity physical…

统计计算 · 统计学 2024-05-10 Jianhua Xian , Ziqi Wang

Process-based hydrologic models are invaluable tools for understanding the terrestrial water cycle and addressing modern water resources problems. However, many hydrologic models are computationally expensive and, depending on the…

地球物理 · 物理学 2025-02-11 Timothy Dai , Kate Maher , Zach Perzan

High-fidelity models are essential for accurately capturing nonlinear system dynamics. However, simulation of these models is often computationally too expensive and, due to their complexity, they are not directly suitable for analysis,…

系统与控制 · 电气工程与系统科学 2025-09-05 E. Javier Olucha , Rajiv Singh , Amritam Das , Roland Tóth

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…

统计计算 · 统计学 2021-06-01 X. Zhu , B. Sudret

[Abridged] We propose a solution to the problem of quickly and accurately predicting gravitational waveforms within any given physical model. The method is relevant for both real-time applications and in more traditional scenarios where the…

广义相对论与量子宇宙学 · 物理学 2014-07-23 Scott E. Field , Chad R. Galley , Jan S. Hesthaven , Jason Kaye , Manuel Tiglio

The complex and computationally expensive nature of landscape evolution models pose significant challenges in the inference and optimisation of unknown parameters. Bayesian inference provides a methodology for estimation and uncertainty…

机器学习 · 统计学 2020-06-30 Rohitash Chandra , Danial Azam , Arpit Kapoor , R. Dietmar Müller

In this paper we study the efficacy of combining machine-learning methods with projection-based model reduction techniques for creating data-driven surrogate models of computationally expensive, high-fidelity physics models. Such surrogate…

流体动力学 · 物理学 2022-09-28 Kenny Chowdhary , Chi Hoang , Kookjin Lee , Jaideep Ray

Machine learning classification techniques have been used widely to recognize the feasible design domain and discover hidden patterns in engineering design. An accurate classification model needs a large dataset; however, generating a large…

数据分析、统计与概率 · 物理学 2021-07-13 Xianping Du , Kai Zhang , Onur Bilgen , Laurent Burlion , Hongyi Xu

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…

数值分析 · 数学 2026-02-26 Linheng Ruan , Ilja Kröker , Sergey Oladyshkin , Iryna Rybak

We tackle the problem of quantifying failure probabilities for expensive deterministic computer experiments with stochastic inputs under a fixed budget. The computational cost of the computer simulation prohibits direct Monte Carlo (MC) and…

统计方法学 · 统计学 2025-07-08 Annie S. Booth , S. Ashwin Renganathan

Surrogate modeling is of great practical significance for parametric differential equation systems. In contrast to classical numerical methods, using physics-informed deep learning methods to construct simulators for such systems is a…

数值分析 · 数学 2025-01-03 Xili Wang , Kejun Tang , Jiayu Zhai , Xiaoliang Wan , Chao Yang

A surrogate model that accurately predicts distribution system voltages is crucial for reliable smart grid planning and operation. This letter proposes a fixed-point data-driven surrogate modeling method that employs a limited dataset to…

系统与控制 · 电气工程与系统科学 2024-01-01 Hoang Tien Nguyen , Young-Jin Kim , Dae-Hyun Choi

Surrogate models provide a low computational cost alternative to evaluating expensive functions. The construction of accurate surrogate models with large numbers of independent variables is currently prohibitive because it requires a large…

机器学习 · 计算机科学 2017-08-10 Mohamed Amine Bouhlel , Joaquim R. R. A. Martins

Bayesian inference typically relies on a large number of model evaluations to estimate posterior distributions. Established methods like Markov Chain Monte Carlo (MCMC) and Amortized Bayesian Inference (ABI) can become computationally…

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…

材料科学 · 物理学 2023-12-20 Hugh Dorward , David M. Knowles , Eralp Demir , Mahmoud Mostafavi , Matthew J. Peel

Explainable AI is a crucial component for edge services, as it ensures reliable decision making based on complex AI models. Surrogate models are a prominent approach of XAI where human-interpretable models, such as a linear regression…

机器学习 · 计算机科学 2025-03-12 Foivos Charalampakos , Thomas Tsouparopoulos , Iordanis Koutsopoulos