Convergence rates for ${{\ell }}^{1}$-regularization without injectivity-type assumptions

DOI10.1088/0266-5611/32/9/095001OpenAlexW2462627318WikidataQ123312848 ScholiaQ123312848MaRDI QIDQ2832967

Jens Flemming

Publication date: 15 November 2016

Published in: Inverse Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0266-5611/32/9/095001

zbMATH Keywords

convergence ratesTikhonov regularizationsparsity promoting regularizationvariational source conditionnon-injective

Mathematics Subject Classification ID

Operator theory (47-XX) Partial differential equations (35-XX)

Related Items (6)

Oversmoothing regularization with \(\ell^1\)-penalty term ⋮ On ℓ 1 -Regularization Under Continuity of the Forward Operator in Weaker Topologies ⋮ Weighted sparsity regularization for source identification for elliptic PDEs ⋮ Existence of variational source conditions for nonlinear inverse problems in Banach spaces ⋮ 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

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