Nonlinear Model Reduction for Uncertainty Quantification in Large-Scale Inverse Problems
We present a model reduction approach to the solution of large-scale statistical inverse problems in a Bayesian inference setting. A key to the model reduction is an efficient representation of the non-linear terms in the reduced model. To achieve this, we present a formulation that employs masked p...
Main Authors: | Galbally, David, Fidkowski, Krzysztof, Willcox, Karen E., Ghattas, O. |
---|---|
Other Authors: | Massachusetts Institute of Technology. Department of Aeronautics and Astronautics |
Format: | Article |
Language: | en_US |
Published: |
John Wiley & Sons, Inc.
2011
|
Online Access: | http://hdl.handle.net/1721.1/61711 https://orcid.org/0000-0003-2156-9338 |
Similar Items
-
Nonlinear model reduction for uncertainty quantification in large-scale inverse problems : application to nonlinear convection-diffusion-reaction equation
by: Galbally, David
Published: (2008) -
Parameter and State Model Reduction for Large-Scale Statistical Inverse Problems
by: Lieberman, Chad E., et al.
Published: (2011) -
MODEL REDUCTION FOR LARGE-SCALE SYSTEMS WITH HIGH-DIMENSIONAL PARAMETRIC INPUT SPACE
by: Ghattas, O., et al.
Published: (2010) -
Model Reduction for Large-Scale Systems with High Dimensional Parametric Input Space
by: Bui-Thanh, T., et al.
Published: (2010) -
Scalable posterior approximations for large-scale Bayesian inverse problems via likelihood-informed parameter and state reduction
by: Cui, Tiangang, et al.
Published: (2018)