3 citations · 4 across the 4 of their papers we have counts for
8 papers
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…
Measuring Complexity of Learning Schemes Using Hessian-Schatten Total Variation
Shayan Aziznejad, Joaquim Campos, Michael Unser
In this paper, we introduce the Hessian-Schatten total variation (HTV) -- a novel seminorm that quantifies the total "rugosity" of multivariate functions. Our motivation for defini…
Convex Optimization in Sums of Banach Spaces
Michael Unser, Shayan Aziznejad
We characterize the solution of a broad class of convex optimization problems that address the reconstruction of a function from a finite number of linear measurements. The underly…
Continuous-Domain Formulation of Inverse Problems for Composite Sparse-Plus-Smooth Signals
Thomas Debarre, Shayan Aziznejad, Michael Unser
We present a novel framework for the reconstruction of 1D composite signals assumed to be a mixture of two additive components, one sparse and the other smooth, given a finite numb…
Shortest-support Multi-Spline Bases for Generalized Sampling
Alexis Goujon, Shayan Aziznejad, Alireza Naderi +1
Generalized sampling consists in the recovery of a function , from the samples of the responses of a collection of linear shift-invariant systems to the input . The reconstru…
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…