L ∞ fitting for inverse problems with uniform noise

DOI10.1088/0266-5611/28/10/104007zbMath1258.65055OpenAlexW1979860790MaRDI QIDQ3144015

Christian Clason

Publication date: 6 December 2012

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

Full work available at URL: https://doi.org/10.1088/0266-5611/28/10/104007

zbMATH Keywords

convergenceTikhonov regularizationMorozov's discrepancy principlelinear inverse problemssemismooth Newton methoda priori parameter choiceuniform noise\(L^\infty\) fitting

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 (24)

On convex modified output least-squares for elliptic inverse problems: stability, regularization, applications, and numerics ⋮ A semi-smooth Newton method for inverse problem with uniform noise ⋮ Generalized inexact Newton regularization for nonlinear ill-posed problems in Banach spaces ⋮ Automatic fidelity and regularization terms selection in variational image restoration ⋮ Shape Optimization with Nonsmooth Cost Functions: From Theory to Numerics ⋮ Convergence rates for nonlinear inverse problems of parameter identification using Bregman distances ⋮ Hanke-Raus rule for Landweber iteration in Banach spaces ⋮ On and Beyond Total Variation Regularization in Imaging: The Role of Space Variance ⋮ A convex inversion framework for identifying parameters in saddle point problems with applications to inverse incompressible elasticity ⋮ Inverse problems for quasi-variational inequalities ⋮ A revisit on Landweber iteration ⋮ Cartoon-Texture-Noise Decomposition with Transport Norms ⋮ Analyzing the role of the Inf-Sup condition for parameter identification in saddle point problems with application in elasticity imaging ⋮ Uniqueness, Lipschitz Stability, and Reconstruction for the Inverse Optical Tomography Problem ⋮ Stability of saddle points via explicit coderivatives of pointwise subdifferentials ⋮ A viscosity method with no spectral radius requirements for the split common fixed point problem ⋮ Finite element approximation of source term identification with TV-regularization ⋮ Whiteness constraints in a unified variational framework for image restoration ⋮ A Vectorized Regularization Method for Multivalued Parameters Identification ⋮ A fast algorithm for solving linear inverse problems with uniform noise removal ⋮ Contingent derivatives and regularization for noncoercive inverse problems ⋮ A total variation regularization method for inverse source problem with uniform noise ⋮ Regularization properties of the sequential discrepancy principle for Tikhonov regularization in Banach spaces ⋮ Primal-Dual Extragradient Methods for Nonlinear Nonsmooth PDE-Constrained Optimization

This page was built for publication: L ^∞ fitting for inverse problems with uniform noise