559 citations · 1.5k across the 55 of their papers we have counts for
12 papers · 1 filter
Spark Deficient Gabor Frames for Inverse Problems
Vasiliki Kouni, Holger Rauhut
In this paper, we apply star-Digital Gabor Transform in analysis Compressed Sensing and speech denoising. Based on assumptions on the ambient dimension, we produce a window vector…
Jointly Low-Rank and Bisparse Recovery: Questions and Partial Answers
Simon Foucart, Rémi Gribonval, Laurent Jacques +1
We investigate the problem of recovering jointly -rank and -bisparse matrices from as few linear measurements as possible, considering arbitrary measurements as well as rank-…
Multi-level Compressed Sensing Petrov-Galerkin discretization of high-dimensional parametric PDEs
Jean-Luc Bouchot, Holger Rauhut, Christoph Schwab
We analyze a novel multi-level version of a recently introduced compressed sensing (CS) Petrov-Galerkin (PG) method from [H. Rauhut and Ch. Schwab: Compressive Sensing Petrov-Galer…
Conjugate gradient acceleration of iteratively re-weighted least squares methods
Massimo Fornasier, Steffen Peter, Holger Rauhut +1
Iteratively Re-weighted Least Squares (IRLS) is a method for solving minimization problems involving non-quadratic cost functions, perhaps non-convex and non-smooth, which however…
Compressive sensing Petrov-Galerkin approximation of high-dimensional parametric operator equations
Holger Rauhut, Christoph Schwab
We analyze the convergence of compressive sensing based sampling techniques for the efficient evaluation of functionals of solutions for a class of high-dimensional, affine-paramet…
Tensor completion in hierarchical tensor representations
Holger Rauhut, Reinhold Schneider, Zeljka Stojanac
Compressed sensing extends from the recovery of sparse vectors from undersampled measurements via efficient algorithms to the recovery of matrices of low rank from incomplete infor…