Scaling digital twins from the artisanal to the industrial

SA Niederer, MS Sacks, M Girolami… - Nature Computational …, 2021 - nature.com
Mathematical modeling and simulation are moving from being powerful development and
analysis tools towards having increased roles in operational monitoring, control and …

A review of uncertainty analysis in building energy assessment

W Tian, Y Heo, P De Wilde, Z Li, D Yan, CS Park… - … and Sustainable Energy …, 2018 - Elsevier
Uncertainty analysis in building energy assessment has become an active research field
because a number of factors influencing energy use in buildings are inherently uncertain …

Digital twin: Values, challenges and enablers from a modeling perspective

A Rasheed, O San, T Kvamsdal - IEEE access, 2020 - ieeexplore.ieee.org
Digital twin can be defined as a virtual representation of a physical asset enabled through
data and simulators for real-time prediction, optimization, monitoring, controlling, and …

Modern regularization methods for inverse problems

M Benning, M Burger - Acta numerica, 2018 - cambridge.org
Regularization methods are a key tool in the solution of inverse problems. They are used to
introduce prior knowledge and allow a robust approximation of ill-posed (pseudo-) inverses …

Effective adjoint approaches for computational fluid dynamics

GKW Kenway, CA Mader, P He… - Progress in Aerospace …, 2019 - Elsevier
The adjoint method is used for high-fidelity aerodynamic shape optimization and is an
efficient approach for computing the derivatives of a function of interest with respect to a …

Physics-guided, physics-informed, and physics-encoded neural networks in scientific computing

SA Faroughi, N Pawar, C Fernandes, M Raissi… - arXiv preprint arXiv …, 2022 - arxiv.org
Recent breakthroughs in computing power have made it feasible to use machine learning
and deep learning to advance scientific computing in many fields, including fluid mechanics …

Bayesian imaging using plug & play priors: when langevin meets tweedie

R Laumont, VD Bortoli, A Almansa, J Delon… - SIAM Journal on Imaging …, 2022 - SIAM
Since the seminal work of Venkatakrishnan, Bouman, and Wohlberg [Proceedings of the
Global Conference on Signal and Information Processing, IEEE, 2013, pp. 945--948] in …

Provably safe and robust learning-based model predictive control

A Aswani, H Gonzalez, SS Sastry, C Tomlin - Automatica, 2013 - Elsevier
Controller design faces a trade-off between robustness and performance, and the reliability
of linear controllers has caused many practitioners to focus on the former. However, there is …

Ensemble Kalman methods for inverse problems

MA Iglesias, KJH Law, AM Stuart - Inverse Problems, 2013 - iopscience.iop.org
Abstract The ensemble Kalman filter (EnKF) was introduced by Evensen in 1994 (Evensen
1994 J. Geophys. Res. 99 10143–62) as a novel method for data assimilation: state …

The imperative of physics-based modeling and inverse theory in computational science

KE Willcox, O Ghattas, P Heimbach - Nature Computational Science, 2021 - nature.com
To best learn from data about large-scale complex systems, physics-based models
representing the laws of nature must be integrated into the learning process. Inverse theory …