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Polynomial Chaos Expansions on Principal Geodesic Grassmannian Submanifolds for Surrogate Modeling and Uncertainty Quantification
30 January 2024
Dimitris G. Giovanis
Dimitrios Loukrezis
Ioannis G. Kevrekidis
Michael D. Shields
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Papers citing
"Polynomial Chaos Expansions on Principal Geodesic Grassmannian Submanifolds for Surrogate Modeling and Uncertainty Quantification"
4 / 4 papers shown
Title
Learning Latent Space Dynamics with Model-Form Uncertainties: A Stochastic Reduced-Order Modeling Approach
Jin Yi Yong
Rudy Geelen
Johann Guilleminot
26
1
0
30 Aug 2024
Bayesian neural networks for predicting uncertainty in full-field material response
G. Pasparakis
Lori Graham-Brady
Michael D. Shields
AI4CE
37
4
0
21 Jun 2024
Grassmannian diffusion maps based surrogate modeling via geometric harmonics
K. R. D. dos Santos
Dimitris G. Giovanis
Katiana Kontolati
Dimitrios Loukrezis
Michael D. Shields
17
9
0
28 Sep 2021
Fourier Neural Operator for Parametric Partial Differential Equations
Zong-Yi Li
Nikola B. Kovachki
Kamyar Azizzadenesheli
Burigede Liu
K. Bhattacharya
Andrew M. Stuart
Anima Anandkumar
AI4CE
203
2,282
0
18 Oct 2020
1