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math.DS2020★ 18 cited
Physics-aware registration based auto-encoder for convection dominated PDEs
Rambod Mojgani, Maciej Balajewicz
We design a physics-aware auto-encoder to specifically reduce the dimensionality of solutions arising from convection-dominated nonlinear physical systems. Although existing nonlin…
math.DS2018★ 77 cited
Deep convolutional recurrent autoencoders for learning low-dimensional feature dynamics of fluid systems
Francisco J. Gonzalez, Maciej Balajewicz
Model reduction of high-dimensional dynamical systems alleviates computational burdens faced in various tasks from design optimization to model predictive control. One popular mode…