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- Institute for Quantum Optics and Quantum Information InnsbruckAT973 papers
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4 papers · 2 filters
A new approach to source conditions in regularization with general residual term
Jens Geissler, Bernd Hofmann
This paper addresses Tikhonov like regularization methods with convex penalty functionals for solving nonlinear ill-posed operator equations formulated in Banach or, more general,…
A Convergent Overlapping Domain Decomposition Method for Total Variation Minimization
Massimo Fornasier, Andreas Langer, Carola-Bibiane Schönlieb
This paper is concerned with the analysis of convergent sequential and parallel overlapping domain decomposition methods for the minimization of functionals formed by a discrepancy…
Domain decomposition methods for compressed sensing
Massimo Fornasier, Andreas Langer, Carola-Bibiane Schönlieb
We present several domain decomposition algorithms for sequential and parallel minimization of functionals formed by a discrepancy term with respect to data and total variation con…
Iterative thresholding meets free discontinuity problems
Massimo Fornasier, Rachel Ward
Free-discontinuity problems describe situations where the solution of interest is defined by a function and a lower dimensional set consisting of the discontinuities of the functio…