45 citations · 166 across the 20 of their papers we have counts for
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math.NA2021★ 3 cited
Dimension reduction, exact recovery, and error estimates for sparse reconstruction in phase space
Martin Holler, Alexander Schlüter, Benedikt Wirth
An important theme in modern inverse problems is the reconstruction of time-dependent data from only finitely many measurements. To obtain satisfactory reconstruction results in th…
math.NA2019
Non-smooth variational regularization for processing manifold-valued data
Martin Holler, Andreas Weinmann
Many methods for processing scalar and vector valued images, volumes and other data in the context of inverse problems are based on variational formulations. Such formulations requ…
math.NA2017★ 32 cited
Total Generalized Variation for Manifold-valued Data
K. Bredies, M. Holler, M. Storath +1
In this paper we introduce the notion of second-order total generalized variation (TGV) regularization for manifold-valued data in a discrete setting. We provide an axiomatic appro…