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math.NA2018
Model reduction of dynamical systems on nonlinear manifolds using deep convolutional autoencoders
Kookjin Lee, Kevin Carlberg
Nearly all model-reduction techniques project the governing equations onto a linear subspace of the original state space. Such subspaces are typically computed using methods such a…
math.NA2018★ 42 cited
Machine-learning error models for approximate solutions to parameterized systems of nonlinear equations
Brian A. Freno, Kevin T. Carlberg
This work proposes a machine-learning framework for constructing statistical models of errors incurred by approximate solutions to parameterized systems of nonlinear equations. The…