Browsing NTNU Open by Author "Ehrhardt, Matthias J."

Now showing items 1-3 of 3

    • Deep learning as optimal control problems: models and numerical methods 

      Benning, Martin; Celledoni, Elena; Ehrhardt, Matthias J.; Owren, Brynjulf; Schönlieb, Carola-Bibiane (Journal article; Peer reviewed, 2019)
      We consider recent work of [11] and [6], where deep learning neuralnetworks have been interpreted as discretisations of an optimal control problemsubject to an ordinary differential equation constraint. We review the first ...

    • Equivariant neural networks for inverse problems 

      Celledoni, Elena; Ehrhardt, Matthias J.; Etmann, Christian; Owren, Brynjulf; Schönlieb, Carola-Bibiane; Sherry, Ferdia (Peer reviewed; Journal article, 2021)
      In recent years the use of convolutional layers to encode an inductive bias (translational equivariance) in neural networks has proven to be a very fruitful idea. The successes of this approach have motivated a line of ...

    • Structure preserving deep learning 

      Celledoni, Elena; Ehrhardt, Matthias J.; Etmann, Christian; McLachlan, Robert I.; Owren, Brynjulf; Schönlieb, Carola-Bibiane; Sherry, Ferdia (Peer reviewed; Journal article, 2021)
      Over the past few years, deep learning has risen to the foreground as a topic of massive interest, mainly as a result of successes obtained in solving large-scale image processing tasks. There are multiple challenging ...