On the interplay of basis smoothness and specific range conditions occurring in sparsity regularization
From MaRDI portal
Publication:5406760
DOI10.1088/0266-5611/29/12/125002zbMath1292.65056arXiv1307.7493OpenAlexW3101865680MaRDI QIDQ5406760
Ronny Ramlau, Bernd Hofmann, Stephan W. Anzengruber
Publication date: 2 April 2014
Published in: Inverse Problems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1307.7493
Special integral transforms (Legendre, Hilbert, etc.) (44A15) Radon transform (44A12) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20) Linear operators and ill-posed problems, regularization (47A52)
Related Items (max. 100)
On ℓ 1 -Regularization Under Continuity of the Forward Operator in Weaker Topologies ⋮ Elastic-net regularization versus ℓ 1 -regularization for linear inverse problems with quasi-sparse solutions ⋮ Convergence rates of Tikhonov regularizations for elliptic and parabolic inverse radiativity problems ⋮ Convergence rates of Tikhonov regularization for recovering growth rates in a Lotka-Volterra competition model with diffusion ⋮ Variational source conditions and stability estimates for inverse electromagnetic medium scattering problems ⋮ Variational source condition for ill-posed backward nonlinear Maxwell’s equations ⋮ Injectivity and \(\text{weak}^\star\)-to-weak continuity suffice for convergence rates in \(\ell^{1}\)-regularization ⋮ Maximal spaces for approximation rates in \(\ell^1\)-regularization ⋮ Convergence rates inℓ1-regularization when the basis is not smooth enough ⋮ Tikhonov regularization with \({\ell^{0}}\)-term complementing a convex penalty: \({\ell^{1}}\)-convergence under sparsity constraints ⋮ Variational source conditions for inverse Robin and flux problems by partial measurements
This page was built for publication: On the interplay of basis smoothness and specific range conditions occurring in sparsity regularization