Optimal Convergence Rates for Tikhonov Regularization in Besov Spaces
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Publication:5210535
DOI10.1137/18M1178098zbMath1478.65058arXiv1803.11019WikidataQ126402295 ScholiaQ126402295MaRDI QIDQ5210535
Benjamin Sprung, Thorsten Hohage, Frederic Weidling
Publication date: 21 January 2020
Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1803.11019
Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21) Numerical solution to inverse problems in abstract spaces (65J22)
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Shearlet-based regularization in statistical inverse learning with an application to x-ray tomography ⋮ Convex regularization in statistical inverse learning problems ⋮ A note on the minimization of a Tikhonov functional with ℓ1-penalty ⋮ Error analysis for filtered back projection reconstructions in Besov spaces ⋮ Maximal spaces for approximation rates in \(\ell^1\)-regularization ⋮ Variational Source Conditions in $L^p$-spaces ⋮ Variational regularization theory based on image space approximation rates ⋮ Convergence rates for oversmoothing Banach space regularization ⋮ Convergence of a spectral regularization of a time-reversed reaction-diffusion problem with high-order Sobolev-Gevrey smoothness ⋮ Error estimates for variational regularization of inverse problems with general noise models for data and operator
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