678 citations · 994 across the 24 of their papers we have counts for
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stat.ML2017★ 29 cited
Neural network augmented inverse problems for PDEs
Jens Berg, Kaj Nyström
In this paper we show how to augment classical methods for inverse problems with artificial neural networks. The neural network acts as a prior for the coefficient to be estimated…
stat.ML2017★ 678 cited
A unified deep artificial neural network approach to partial differential equations in complex geometries
Jens Berg, Kaj Nyström
In this paper we use deep feedforward artificial neural networks to approximate solutions to partial differential equations in complex geometries. We show how to modify the backpro…