Maximal spaces for approximation rates in $\ell^1$-regularization (Q2055984)

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English	Maximal spaces for approximation rates in $\ell^1$-regularization	scientific article

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instance of

scholarly article

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title

Maximal spaces for approximation rates in $\ell^1$-regularization (English)

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Numerische Mathematik

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publication date

1 December 2021

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full work available at URL

https://arxiv.org/abs/2005.14674

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zbMATH Keywords

nonlinear inverse problems

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maximal spaces

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Tikhonov regularization

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$\ell^1$-penalization

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describes a project that uses

PyWavelets

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MaRDI profile type

MaRDI publication profile

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cites work

On the interplay of basis smoothness and specific range conditions occurring in sparsity regularization

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A Fast Iterative Shrinkage-Thresholding Algorithm for Linear Inverse Problems

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Q4112938

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Convergence rates inℓ1-regularization if the sparsity assumption fails

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Large noise in variational regularization

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On the convergence of the iterates of the ``fast iterative shrinkage/thresholding algorithm''

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Oversmoothing Tikhonov regularization in Banach spaces *

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Compressed sensing and best 𝑘-term approximation

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Maximal spaces with given rate of convergence for thresholding algorithms

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Restricted nonlinear approximation

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An iterative thresholding algorithm for linear inverse problems with a sparsity constraint

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Q4895893

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Q2845116

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

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Injectivity and $\text{weak}^\star$-to-weak continuity suffice for convergence rates in $\ell^{1}$-regularization

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Convergence rates inℓ1-regularization when the basis is not smooth enough

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On $\ell^1$-regularization in light of Nashed's ill-posedness concept

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A unified approach to convergence rates for $\ell^{1}$-regularization and lacking sparsity

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Real Interpolation of WeightedLp-Spaces

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Oversmoothing regularization with $\ell^1$-penalty term

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Necessary and sufficient conditions for linear convergence of ℓ1-regularization

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Tikhonov regularization with oversmoothing penalty for non-linear ill-posed problems in Hilbert scales

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Convergence results and low-order rates for nonlinear Tikhonov regularization with oversmoothing penalty term

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Optimal convergence rates for sparsity promoting wavelet-regularization in Besov spaces

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Characterizations of Variational Source Conditions, Converse Results, and Maxisets of Spectral Regularization Methods

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Sparsity regularization for parameter identification problems

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Sparsity regularization in inverse problems

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Convergence rates and source conditions for Tikhonov regularization with sparsity constraints

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Error bounds for tikhonov regularization in hilbert scales

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Variational methods in imaging

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Function spaces and wavelets on domains

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Optimal Convergence Rates for Tikhonov Regularization in Besov Spaces

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Identifiers

zbMATH Open document ID

1498.65078

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DOI

10.1007/s00211-021-01225-4

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Mathematics Subject Classification ID

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Mathematics(1 entry)

mardi Publication:2055984

Maximal spaces for approximation rates in \(\ell^1\)-regularization (Q2055984)

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Identifiers

Sitelinks

Mathematics(1 entry)