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math.OC2022★ 5 cited
Deep neural networks on diffeomorphism groups for optimal shape reparameterization
Elena Celledoni, Helge Glöckner, Jørgen Riseth +1
One of the fundamental problems in shape analysis is to align curves or surfaces before computing geodesic distances between their shapes. Finding the optimal reparametrization rea…
math.OC2019
Deep learning as optimal control problems: models and numerical methods
Martin Benning, Elena Celledoni, Matthias J. Ehrhardt +2
We consider recent work of Haber and Ruthotto 2017 and Chang et al. 2018, where deep learning neural networks have been interpreted as discretisations of an optimal control problem…