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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

Surrogate models are widely used to approximate complex systems across science and engineering to reduce computational costs. Despite their widespread adoption, the field lacks standardisation across key stages of the modelling pipeline,…

Deep learning methods have been employed in gravitational-wave astronomy to accelerate the construction of surrogate waveforms for the inspiral of spin-aligned black hole binaries, among other applications. We face the challenge of modeling…

Recent developments of advanced driver-assistance systems necessitate an increasing number of tests to validate new technologies. These tests cannot be carried out on track in a reasonable amount of time and automotive groups rely on…

机器学习 · 统计学 2022-12-16 Clara Carlier , Arnaud Franju , Matthieu Lerasle , Mathias Obrebski

Structural reliability methods aim at computing the probability of failure of systems with respect to some prescribed performance functions. In modern engineering such functions usually resort to running an expensive-to-evaluate…

统计方法学 · 统计学 2011-05-10 V. Dubourg , F. Deheeger , B. Sudret

This work proposes novel techniques for the efficient numerical simulation of parameterized, unsteady partial differential equations. Projection-based reduced order models (ROMs) such as the reduced basis method employ a (Petrov-)Galerkin…

数值分析 · 数学 2023-12-05 Nicholas Mueller , Santiago Badia

Recent advancements in Markov chain Monte Carlo (MCMC) sampling and surrogate modelling have significantly enhanced the feasibility of Bayesian analysis across engineering fields. However, the selection and integration of surrogate models…

Continuous high frequency water quality monitoring is becoming a critical task to support water management. Despite the advancements in sensor technologies, certain variables cannot be easily and/or economically monitored in-situ and in…

机器学习 · 计算机科学 2020-01-28 María Castrillo , Álvaro López García

Nonlinear parametric inverse problems appear in several prominent applications; one such application is Diffuse Optical Tomography (DOT) in medical image reconstruction. Such inverse problems present huge computational challenges, mostly…

Many complex engineering systems consist of multiple subsystems that are developed by different teams of engineers. To analyse, simulate and control such complex systems, accurate yet computationally efficient models are required. Modular…

系统与控制 · 电气工程与系统科学 2023-01-02 Lars A. L. Janssen , Bart Besselink , Rob H. B. Fey , Nathan van de Wouw

The generalized assignment problem with routing constraints, e.g. the vehicle routing problem, has essential practical relevance. This paper focuses on addressing the complexities of the problem by learning a surrogate model with reduced…

最优化与控制 · 数学 2024-05-24 Sen Xue , Chuanhou Gao

We introduce several spatially adaptive model order reduction approaches tailored to non-coercive elliptic boundary value problems, specifically, parametric-in-frequency Helmholtz problems. The offline information is computed by means of…

数值分析 · 数学 2022-10-31 Francesca Bonizzoni , Davide Pradovera , Michele Ruggeri

Stochastic unit commitment models typically handle uncertainties in forecast demand by considering a finite number of realizations from a stochastic process model for loads. Accurate evaluations of expectations or higher moments for the…

系统与控制 · 计算机科学 2014-07-09 Cosmin Safta , Richard L. Chen , Habib N. Najm , Ali Pinar , Jean-paul watson

We consider an optimization problem related to semi-active damping of vibrating systems. The main problem is to determine the best damping matrix able to minimize influence of the input on the output of the system. We use a minimization…

动力系统 · 数学 2017-07-07 Zoran Tomljanović , Christopher Beattie , Serkan Gugercin

The estimation of unknown values of parameters (or hidden variables, control variables) that characterise a physical system often relies on the comparison of measured data with synthetic data produced by some numerical simulator of the…

机器学习 · 计算机科学 2019-01-28 Xi Chen , Mike Hobson

In order to optimally design materials, it is crucial to understand the structure-property relations in the material by analyzing the effect of microstructure parameters on the macroscopic properties. In computational homogenization, the…

计算工程、金融与科学 · 计算机科学 2022-08-24 Theron Guo , Ondřej Rokoš , Karen Veroy

The simulation of electric rotating machines is both computationally expensive and memory intensive. To overcome these costs, model order reduction techniques can be applied. The focus of this contribution is especially on machines that…

数值分析 · 数学 2017-05-11 Zeger Bontinck , Oliver Lass , Sebastian Schöps , Oliver Rain

We consider a linear minimum mean squared error (LMMSE) estimation framework with model mismatch where the assumed model order is smaller than that of the underlying linear system which generates the data used in the estimation process. By…

信号处理 · 电气工程与系统科学 2021-05-26 Martin Hellkvist , Ayça Özçelikkale

Direct numerical simulation of dynamical systems is of fundamental importance in studying a wide range of complex physical phenomena. However, the ever-increasing need for accuracy leads to extremely large-scale dynamical systems whose…

动力系统 · 数学 2015-03-04 Jeff T. Borggaard , Serkan Gugercin

4D Computed Tomography (4DCT) is widely used for many clinical applications such as radiotherapy treatment planning, PET and ventilation imaging. However, common 4DCT methods reconstruct multiple breath cycles into a single, arbitrary…

计算机视觉与模式识别 · 计算机科学 2024-07-02 Yuliang Huang , Bjoern Eiben , Kris Thielemans , Jamie R. McClelland