Machine learning with data assimilation and uncertainty quantification for dynamical systems: a review

S Cheng, C Quilodrán-Casas, S Ouala… - IEEE/CAA Journal of …, 2023 - ieeexplore.ieee.org
Data assimilation (DA) and uncertainty quantification (UQ) are extensively used in analysing
and reducing error propagation in high-dimensional spatial-temporal dynamics. Typical …

Integrating scientific knowledge with machine learning for engineering and environmental systems

J Willard, X Jia, S Xu, M Steinbach, V Kumar - ACM Computing Surveys, 2022 - dl.acm.org
There is a growing consensus that solutions to complex science and engineering problems
require novel methodologies that are able to integrate traditional physics-based modeling …

[PDF][PDF] Integrating physics-based modeling with machine learning: A survey

J Willard, X Jia, S Xu, M Steinbach… - arXiv preprint arXiv …, 2020 - beiyulincs.github.io
There is a growing consensus that solutions to complex science and engineering problems
require novel methodologies that are able to integrate traditional physics-based modeling …

[图书][B] Uncertainty quantification: theory, implementation, and applications

RC Smith - 2024 - SIAM
Uncertainty quantification serves a central role for simulation-based analysis of physical,
engineering, and biological applications using mechanistic models. From a broad …

A survey of projection-based model reduction methods for parametric dynamical systems

P Benner, S Gugercin, K Willcox - SIAM review, 2015 - SIAM
Numerical simulation of large-scale dynamical systems plays a fundamental role in studying
a wide range of complex physical phenomena; however, the inherent large-scale nature of …

A review of surrogate models and their application to groundwater modeling

MJ Asher, BFW Croke, AJ Jakeman… - Water Resources …, 2015 - Wiley Online Library
The spatially and temporally variable parameters and inputs to complex groundwater
models typically result in long runtimes which hinder comprehensive calibration, sensitivity …

A review on design of experiments and surrogate models in aircraft real-time and many-query aerodynamic analyses

R Yondo, E Andrés, E Valero - Progress in aerospace sciences, 2018 - Elsevier
Full scale aerodynamic wind tunnel testing, numerical simulation of high dimensional (full-
order) aerodynamic models or flight testing are some of the fundamental but complex steps …

A digital twin hierarchy for metal additive manufacturing

A Phua, CHJ Davies, GW Delaney - Computers in Industry, 2022 - Elsevier
Digital twins present a conceptual framework for product life-cycle monitoring and control
using a simulated replica of the physical system. Since their emergence, they have garnered …

A deep learning enabler for nonintrusive reduced order modeling of fluid flows

S Pawar, SM Rahman, H Vaddireddy, O San… - Physics of …, 2019 - pubs.aip.org
In this paper, we introduce a modular deep neural network (DNN) framework for data-driven
reduced order modeling of dynamical systems relevant to fluid flows. We propose various …

Simulation-based optimal Bayesian experimental design for nonlinear systems

X Huan, YM Marzouk - Journal of Computational Physics, 2013 - Elsevier
The optimal selection of experimental conditions is essential to maximizing the value of data
for inference and prediction, particularly in situations where experiments are time …