47 citations · 114 across the 18 of their papers we have counts for
7 papers · 1 filter
Linear Inverse Problems with Hessian-Schatten Total Variation
Luigi Ambrosio, Shayan Aziznejad, Camillo Brena +1
In this paper, we characterize the class of extremal points of the unit ball of the Hessian-Schatten total variation (HTV) functional. The underlying motivation for our work stems…
Ridges, Neural Networks, and the Radon Transform
Michael Unser
A ridge is a function that is characterized by a one-dimensional profile (activation) and a multidimensional direction vector. Ridges appear in the theory of neural networks as fun…
Duality Mapping for Schatten Matrix Norms
Shayan Aziznejad, Michael Unser
In this paper, we fully characterize the duality mapping over the space of matrices that are equipped with Schatten norms. Our approach is based on the analysis of the saturation o…
A Note on BIBO Stability
Michael Unser
The statements on the BIBO stability of continuous-time convolution systems found in engineering textbooks are often either too vague (because of lack of hypotheses) or mathematica…
Native Banach spaces for splines and variational inverse problems
Michael Unser, Julien Fageot
We propose a systematic construction of native Banach spaces for general spline-admissible operators . In short, the native space for and the (dual) norm $\|\cdo…
Compactly-Supported Smooth Interpolators for Shape Modeling with Varying Resolution
Daniel Schmitter, Julien Fageot, Anaïs Badoual +2
In applications that involve interactive curve and surface modeling, the intuitive manipulation of shapes is crucial. For instance, user interaction is facilitated if a geometrical…