Multi-parameter Tikhonov regularization

DOI10.4310/MAA.2011.v18.n1.a2zbMath1285.65032arXiv1102.1173MaRDI QIDQ356663

Tomoya Takeuchi, Bangti Jin, Kazufumi Ito

Publication date: 26 July 2013

Published in: Methods and Applications of Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1102.1173

zbMATH Keywords

Tikhonov regularizationnumerical experimentvalue functionparameter choicebalancing principlediscrepancy priniciplefixed point algorithmmulti-parameter regularization

Mathematics Subject Classification ID

Numerical solutions to equations with linear operators (65J10) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20) Linear operators and ill-posed problems, regularization (47A52) Numerical solution to inverse problems in abstract spaces (65J22)

Related Items (20)

Convergence of proximal algorithms with stepsize controls for non-linear inverse problems and application to sparse non-negative matrix factorization ⋮ Regularization graphs—a unified framework for variational regularization of inverse problems ⋮ An adaptive finite element method in reconstruction of coefficients in Maxwell's equations from limited observations. ⋮ A new framework for multi-parameter regularization ⋮ Regularization method for an ill-posed Cauchy problem for elliptic equations ⋮ Coupled regularization with multiple data discrepancies ⋮ Generalized conditional gradient method for elastic-net regularization ⋮ Limited memory restarted \(\ell^p\)-\(\ell^q\) minimization methods using generalized Krylov subspaces ⋮ Error Estimates for Doubly-Generalized Tikhonov-Phillips Regularization ⋮ Multi-parameter Tikhonov regularization and model function approach to the damped Morozov principle for choosing regularization parameters ⋮ Lipschitz stability for an inverse hyperbolic problem of determining two coefficients by a finite number of observations ⋮ Elastic-net regularization versus ℓ ¹ -regularization for linear inverse problems with quasi-sparse solutions ⋮ Sparse signal inversion with impulsive noise by dual spectral projected gradient method ⋮ Optimization approach for the simultaneous reconstruction of the dielectric permittivity and magnetic permeability functions from limited observations ⋮ Identification of the reaction coefficient in time fractional diffusion equations ⋮ Multi-parameter Tikhonov regularization -- an augmented approach ⋮ The \(\mathrm{r}\)-\(\mathrm{d}\) class predictions in linear mixed models ⋮ \(l^1\)-weighted regularization for the problem of recovering sparse initial conditions in parabolic equations from final measurements ⋮ Joint Inversion of Multiple Observations ⋮ Multidirectional subspace expansion for one-parameter and multiparameter Tikhonov regularization

This page was built for publication: Multi-parameter Tikhonov regularization