13 citations · 34 across the 8 of their papers we have counts for
4 papers · 1 filter
Robust Recovery of Low-Rank Matrices with Non-Orthogonal Sparse Decomposition from Incomplete Measurements
Massimo Fornasier, Johannes Maly, Valeriya Naumova
We consider the problem of recovering an unknown effectively -sparse low-rank- matrix with possibly non-orthogonal rank- decomposition from incomplete and inac…
A Machine Learning Approach to Optimal Tikhonov Regularisation I: Affine Manifolds
Ernesto De Vito, Massimo Fornasier, Valeriya Naumova
Despite a variety of available techniques the issue of the proper regularization parameter choice for inverse problems still remains one of the biggest challenges. The main difficu…
Conditions on optimal support recovery in unmixing problems by means of multi-penalty regularization
Markus Grasmair, Valeriya Naumova
Inspired by several real-life applications in audio processing and medical image analysis, where the quantity of interest is generated by several sources to be accurately modeled a…
Minimization of multi-penalty functionals by alternating iterative thresholding and optimal parameter choices
Valeriya Naumova, Steffen Peter
Inspired by several recent developments in regularization theory, optimization, and signal processing, we present and analyze a numerical approach to multi-penalty regularization i…