A Bayesian interpretation of the L-curve
From MaRDI portal
Publication:6159103
DOI10.1088/1361-6420/accdfcOpenAlexW4366247353MaRDI QIDQ6159103
Jérôme Idier, Sébastien Bourguignon, Jérôme Antoni
Publication date: 1 June 2023
Published in: Inverse Problems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1088/1361-6420/accdfc
Numerical linear algebra (65Fxx) Numerical methods for integral equations, integral transforms (65Rxx) Numerical analysis in abstract spaces (65Jxx)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A maximum product criterion as a Tikhonov parameter choice rule for Kirsch's factorization method
- Comparing parameter choice methods for regularization of ill-posed problems
- L-curve and curvature bounds for Tikhonov regularization
- On the convergence properties of the EM algorithm
- Regularization tools: A Matlab package for analysis and solution of discrete ill-posed problems
- Tikhonov regularization and the L-curve for large discrete ill-posed problems
- A parameter choice method for Tikhonov regularization
- Limitations of the \(L\)-curve method in ill-posed problems
- Estimation of the \(L\)-curve via Lanczos bidiagonalization
- Heuristic parameter selection based on functional minimization: Optimality and model function approach
- Inverse problems: A Bayesian perspective
- A new numerical method for the inverse source problem from a Bayesian perspective
- A new choice rule for regularization parameters in Tikhonov regularization
- Fixed-point iterations in determining the Tikhonov regularization parameter
- The EM Algorithm and Extensions, 2E
- A Bayesian inference approach to the ill-posed Cauchy problem of steady-state heat conduction
- Augmented Tikhonov regularization
- Generalized Cross-Validation as a Method for Choosing a Good Ridge Parameter
- Analysis of Discrete Ill-Posed Problems by Means of the L-Curve
- Practical Approximate Solutions to Linear Operator Equations When the Data are Noisy
- The Use of the L-Curve in the Regularization of Discrete Ill-Posed Problems
- Direct analytic model of the L-curve for Tikhonov regularization parameter selection
- Total variation as a multiplicative constraint for solving inverse problems
- Bayesian and regularization methods for hyperparameter estimation in image restoration
- Heuristic Parameter Choice in Tikhonov Method from Minimizers of the Quasi-Optimality Function
- On the Convergence of a Heuristic Parameter Choice Rule for Tikhonov Regularization
- Extended contrast source inversion
- An Analysis of the Zero-Crossing Method for Choosing Regularization Parameters
- A Regularization Parameter in Discrete Ill-Posed Problems
- Regularization Parameter Selection in Discrete Ill-Posed Problems — The Use of the U-Curve
- A Differential Geometric Approach to the Geometric Mean of Symmetric Positive-Definite Matrices
- Bayesian Approach to Inverse Problems
