Regularization Methods for Ill-Posed Problems
From MaRDI portal
Publication:2789800
DOI10.1007/978-1-4939-0790-8_3zbMath1331.65081OpenAlexW4299507777MaRDI QIDQ2789800
Publication date: 2 March 2016
Published in: Handbook of Mathematical Methods in Imaging (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-1-4939-0790-8_3
Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20) Linear operators and ill-posed problems, regularization (47A52)
Related Items
Bayesian Inverse Problems Are Usually Well-Posed, Regularization operators versus regularization strategies
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The residual method for regularizing ill-posed problems
- An extension of the variational inequality approach for obtaining convergence rates in regularization of nonlinear ill-posed problems
- Iterative regularization methods for nonlinear ill-posed problems
- An introduction to mathematics of emerging biomedical imaging
- Error estimation for Bregman iterations and inverse scale space methods in image restoration
- Variational methods in imaging
- Nonlinear Tikhonov regularization in Hilbert scales for inverse boundary value problems with random noise
- Linear integral equations.
- Regularization of nonlinear ill-posed variational inequalities and convergence rates
- On ill-posedness and a Tikhonov regularization for a multidimensional inverse hyperbolic problem
- State-space regularization: Geometric theory
- Statistical and computational inverse problems.
- Estimation techniques for distributed parameter systems
- Well-posedness and convergence rates for sparse regularization with sublinear \(l^q\) penalty term
- Error estimates for general fidelities
- Imaging and inverse problems of partial differential equations
- A general class of autoconvolution equations of the third kind
- Stability for the inverse potential problem by finite measurements on the boundary
- Mathematical Methods in Image Reconstruction
- GLOBAL UNIQUENESS AND STABILITY IN DETERMINING COEFFICIENTS OF WAVE EQUATIONS
- Variational inequalities and higher order convergence rates for Tikhonov regularisation on Banach spaces
- Variational smoothness assumptions in convergence rate theory—an overview
- Well posedness and convergence of some regularisation methods for non-linear ill posed problems
- Error estimates for joint Tikhonov and Lavrentiev regularization of constrained control problems
- On the interplay of source conditions and variational inequalities for nonlinear ill-posed problems
- Improved and extended results for enhanced convergence rates of Tikhonov regularization in Banach spaces
- An analysis of Tikhonov regularization for nonlinear ill-posed problems under a general smoothness assumption
- Some tendencies in the Tikhonov regularization of ill-posed problems
- Convergence rates for Tikhonov regularisation of non-linear ill-posed problems
- Tikhonov regularisation for non-linear ill-posed problems: optimal convergence rates and finite-dimensional approximation
- Analysis of Profile Functions for General Linear Regularization Methods
- A New Approach to Source Conditions in Regularization with General Residual Term
- Local Regularization for the Nonlinear Inverse Autoconvolution Problem
- FAIR
- A Technique for the Numerical Solution of Certain Integral Equations of the First Kind
- On the Choice of the Regularization Parameter in Nonlinear Inverse Problems
- Stable Determination of Boundaries from Cauchy Data
- Optimal a Posteriori Parameter Choice for Tikhonov Regularization for Solving Nonlinear Ill-Posed Problems
- On autoconvolution and regularization
- Analysis of bounded variation penalty methods for ill-posed problems
- Factors influencing the ill-posedness of nonlinear problems
- On the method of Lavrentiev regularization for nonlinear ill-posed problems
- On a general regularization scheme for nonlinear ill-posed problems
- TIGRA an iterative algorithm for regularizing nonlinear ill-posed problems
- Geometry of linear ill-posed problems in variable Hilbert scales
- One new strategy for a priori choice of regularizing parameters in Tikhonov's regularization
- Uniqueness and stability for the determination of boundary defects by electrostatic measurements
- A new approach to convergence rate analysis of Tikhonov regularization for parameter identification in heat conduction
- MOROZOV'S DISCREPANCY PRINCIPLE FOR TIKHONOV-REGULARIZATION OF NONLINEAR OPERATORS
- Convergence rates of convex variational regularization
- On inversion rates for the autoconvolution equation
- Stability for an inverse boundary problem of determining a part of a boundary
- Computational Methods for Inverse Problems
- Tikhonov regularization anda posteriorirules for solving nonlinear ill posed problems
- Approximate inverse for linear and some nonlinear problems
- On Weakly Nonlinear Inverse Problems
- A convergence rates result for Tikhonov regularization in Banach spaces with non-smooth operators
- Shrinkage versus deconvolution
- Regularization by projection: Approximation theoretic aspects and distance functions
- Tikhonov regularization of nonlinear ill-posed equations under general source condition
- A note on logarithmic convergence rates for nonlinear Tikhonov regularization
- Error estimates for non-quadratic regularization and the relation to enhancement
- Regularization of an autoconvolution problem in ultrashort laser pulse characterization
- Regularization of ill-posed problems in Banach spaces: convergence rates
- On local regularization methods for linear Volterra equations and nonlinear equations of Hammerstein type
- Inverse acoustic and electromagnetic scattering theory
- An introduction to the mathematical theory of inverse problems
- Inverse problems for partial differential equations
- Conditional stabilizing estimation for an integral equation of first kind with analytic kernel