DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Gappy AE: A nonlinear approach for Gappy data reconstruction using auto-encoder

Journal Article · · Computer Methods in Applied Mechanics and Engineering

Not Available

Sponsoring Organization:
USDOE National Nuclear Security Administration (NNSA); USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR)
Grant/Contract Number:
AC52-07NA27344; SC0023164
OSTI ID:
2335946
Alternate ID(s):
OSTI ID: 2375949
Journal Information:
Computer Methods in Applied Mechanics and Engineering, Journal Name: Computer Methods in Applied Mechanics and Engineering Journal Issue: C Vol. 426; ISSN 0045-7825
Publisher:
ElsevierCopyright Statement
Country of Publication:
Netherlands
Language:
English

References (37)

Gradient-based constrained optimization using a database of linear reduced-order models journal December 2020
Physics-Informed Neural Networks for Heat Transfer Problems journal April 2021
The Discrete Empirical Interpolation Method: Canonical Structure and Formulation in Weighted Inner Product Spaces journal January 2018
Galerkin Proper Orthogonal Decomposition Methods for a General Equation in Fluid Dynamics journal January 2002
Dynamic mode decomposition of numerical and experimental data journal July 2010
Model reduction of dynamical systems on nonlinear manifolds using deep convolutional autoencoders journal November 2019
Leveraging reduced-order models for state estimation using deep learning journal June 2020
Scientific Machine Learning Through Physics–Informed Neural Networks: Where we are and What’s Next journal July 2022
Reduced order models for Lagrangian hydrodynamics journal January 2022
Space--Time Least-Squares Petrov--Galerkin Projection for Nonlinear Model Reduction journal January 2019
Space-time registration-based model reduction of parameterized one-dimensional hyperbolic PDEs journal January 2021
Nonadaptive Quasi-Optimal Points Selection for Least Squares Linear Regression journal January 2016
Conservative model reduction for finite-volume models journal October 2018
Unsteady flow sensing and estimation via the gappy proper orthogonal decomposition journal February 2006
Stress-constrained topology optimization of lattice-like structures using component-wise reduced order models journal October 2022
Efficient non-linear model reduction via a least-squares Petrov-Galerkin projection and compressive tensor approximations
  • Carlberg, Kevin; Bou-Mosleh, Charbel; Farhat, Charbel
  • International Journal for Numerical Methods in Engineering, Vol. 86, Issue 2 https://doi.org/10.1002/nme.3050
journal October 2010
A Comparison of Three Methods for Selecting Values of Input Variables in the Analysis of Output From a Computer Code journal February 2000
SNS: A Solution-Based Nonlinear Subspace Method for Time-Dependent Model Order Reduction journal January 2020
Decay of the Kolmogorov N -width for wave problems journal October 2019
GPLaSDI: Gaussian Process-based interpretable Latent Space Dynamics Identification through deep autoencoder journal January 2024
Semi-conditional variational auto-encoder for flow reconstruction and uncertainty quantification from limited observations journal January 2021
Karhunen–Loève procedure for gappy data journal January 1995
A New Selection Operator for the Discrete Empirical Interpolation Method---Improved A Priori Error Bound and Extensions journal January 2016
LaSDI: Parametric Latent Space Dynamics Identification journal September 2022
The GNAT method for nonlinear model reduction: Effective implementation and application to computational fluid dynamics and turbulent flows journal June 2013
Physics-informed neural networks (PINNs) for fluid mechanics: a review journal December 2021
Non-linear Manifold Reduced-Order Models with Convolutional Autoencoders and Reduced Over-Collocation Method journal February 2023
Analysis of a complex of statistical variables into principal components. journal January 1933
gLaSDI: Parametric physics-informed greedy latent space dynamics identification journal September 2023
MFEM: A modular finite element methods library journal January 2021
Component-wise reduced order model lattice-type structure design journal August 2021
Efficient Space–Time Reduced Order Model for Linear Dynamical Systems in Python Using Less than 120 Lines of Code journal July 2021
A fast and accurate physics-informed neural network reduced order model with shallow masked autoencoder journal February 2022
Nonlinear Model Reduction via Discrete Empirical Interpolation journal January 2010
Physics-informed neural networks: A deep learning framework for solving forward and inverse problems involving nonlinear partial differential equations journal February 2019
Local Lagrangian reduced-order modeling for the Rayleigh-Taylor instability by solution manifold decomposition journal January 2023
The Proper Orthogonal Decomposition in the Analysis of Turbulent Flows journal January 1993