Deprecated: $wgMWOAuthSharedUserIDs=false is deprecated, set $wgMWOAuthSharedUserIDs=true, $wgMWOAuthSharedUserSource='local' instead [Called from MediaWiki\HookContainer\HookContainer::run in /var/www/html/w/includes/HookContainer/HookContainer.php at line 135] in /var/www/html/w/includes/Debug/MWDebug.php on line 372
Remarks on choosing a regularization parameter using the quasi-optimality and ratio criterion - MaRDI portal

Remarks on choosing a regularization parameter using the quasi-optimality and ratio criterion

From MaRDI portal
Publication:3727268

DOI10.1016/0041-5553(84)90253-2zbMath0595.65064OpenAlexW2145962863MaRDI QIDQ3727268

Anatoly B. Bakushinsky

Publication date: 1984

Published in: USSR Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0041-5553(84)90253-2




Related Items (60)

A stopping criterion for iterative regularization methodsSemi-heuristic parameter choice rules for Tikhonov regularisation with operator perturbationsHeuristic Parameter Choice in Tikhonov Method from Minimizers of the Quasi-Optimality FunctionAdaptivity and Oracle Inequalities in Linear Statistical Inverse Problems: A (Numerical) SurveyA regularized alternating least-squares method for minimizing a sum of squared Euclidean norms with rank constraintLimitations of the \(L\)-curve method in ill-posed problemsThe quasi-optimality criterion in the linear functional strategyAn iterative algorithm for identifying heat source by using a DQ and a Lie-group methodOn a heuristic stopping rule for the regularization of inverse problems by the augmented Lagrangian methodA Discretizing Levenberg-Marquardt Scheme for Solving Nonlinear Ill-Posed Integral EquationsOn the Convergence of a Heuristic Parameter Choice Rule for Tikhonov RegularizationThe method of fundamental solutions for problems in static thermo-elasticity with incomplete boundary dataParameter choice methods using minimization schemesError Estimates for Doubly-Generalized Tikhonov-Phillips RegularizationHeuristic rule for inexact Newton-Landweber iteration with convex penalty terms of nonlinear: ill-posed problemsA numerical comparison of some heuristic stopping rules for nonlinear Landweber iterationHanke-Raus rule for Landweber iteration in Banach spacesDeautoconvolution in the two-dimensional caseDual gradient method for ill-posed problems using multiple repeated measurement dataA family of rules for parameter choice in Tikhonov regularization of ill-posed problems with inexact noise levelRegularization of backward heat conduction problemAnalysis of a heuristic rule for the IRGNM in Banach spaces with convex regularization termsOld and new parameter choice rules for discrete ill-posed problemsInverse source identification by Green's functionHeuristic Parameter Choice Rules for Tikhonov Regularization with Weakly Bounded NoiseHeuristic discrepancy principle for variational regularization of inverse problemsA new \(L\)-curve for ill-posed problemsHeuristic parameter choice rule for solving linear ill-posed integral equations in finite dimensional spaceAnalysis of the iteratively regularized Gauss–Newton method under a heuristic ruleOn the identification of the nonlinearity parameter in the Westervelt equation from boundary measurementsA real-time solution for an inverse Cauchy problem in cardiologyA DISCREPANCY PRINCIPLE FOR THE SOURCE POINTS LOCATION IN USING THE MFS FOR SOLVING THE BHCPUnbiased predictive risk estimation of the Tikhonov regularization parameter: convergence with increasing rank approximations of the singular value decompositionFast fully iterative Newton-type methods for inverse problemsComparing parameter choice methods for regularization of ill-posed problemsA new variant of L-curve for Tikhonov regularizationHeuristic rule for non-stationary iterated Tikhonov regularization in Banach spacesImproved and extended results for enhanced convergence rates of Tikhonov regularization in Banach spacesSchultz matrix iteration based method for stable solution of discrete ill-posed problemsRecent results on the quasi-optimality principleUnnamed ItemAutomatic stopping rule for iterative methods in discrete ill-posed problemsThe method of fundamental solutions for a biharmonic inverse boundary determination problemA simplified L-curve method as error estimatorA new choice rule for regularization parameters in Tikhonov regularizationVector extrapolation enhanced TSVD for linear discrete ill-posed problemsError estimates for large-scale ill-posed problemsModern regularization methods for inverse problemsSolving inverse problems using data-driven modelsOn Minimization Strategies for Choice of the Regularization Parameter in Ill-Posed ProblemsSimultaneous identification of volatility and interest rate functions -- a two-parameter regularization approachA comparison of parameter choice rules for \(\ell^p\)-\(\ell^q\) minimizationExtension of GKB‐FP algorithm to large‐scale general‐form Tikhonov regularizationParameter Choices for Fast Harmonic Spline ApproximationA modified discrepancy principle to attain optimal convergence rates under unknown noiseAnalysis of a generalized regularized Gauss–Newton method under heuristic rule in Banach spacesRegularization for the inversion of fibre Bragg grating spectraKrylov subspace split Bregman methodsStable solution of a quadratic minimization problem with a nonuniformly perturbed operator by applying a regularized gradient methodA new heuristic parameter choice rule in Tikhonov regularization applied for Ritz approximation of an ill-posed problem




This page was built for publication: Remarks on choosing a regularization parameter using the quasi-optimality and ratio criterion