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Polynomial Chaos Expansions on Principal Geodesic Grassmannian
  Submanifolds for Surrogate Modeling and Uncertainty Quantification

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
ArXivPDFHTML

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
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
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
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
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