Residual periodograms for choosing regularization parameters for ill-posed problems
نویسندگان
چکیده
منابع مشابه
Residual periodograms for choosing regularization parameters for ill-posed problems
Bert W. Rust and Dianne P. O’Leary Mathematical and Computational Sciences Division, National Institute of Standards and Technology, Gaithersburg, MD 20899. [email protected] Computer Science Department and Institute for Advanced Computer Studies, University of Maryland, College Park, MD 20742; [email protected]. Mathematical and Computational Sciences Division, National Institute of Standards...
متن کاملChoosing Regularization Parameters in Iterative Methods for Ill-Posed Problems
Numerical solution of ill-posed problems is often accomplished by discretization (projection onto a finite dimensional subspace) followed by regularization. If the discrete problem has high dimension, though, typically we compute an approximate solution by projecting the discrete problem onto an even smaller dimensional space, via iterative methods based on Krylov subspaces. In this work we pre...
متن کاملRisk Estimators for Choosing Regularization Parameters in Ill-Posed Problems - Properties and Limitations
This paper discusses the properties of certain risk estimators recently proposed to choose regularization parameters in ill-posed problems. A simple approach is Stein’s unbiased risk estimator (SURE), which estimates the risk in the data space, while a recent modification (GSURE) estimates the risk in the space of the unknown variable. It seems intuitive that the latter is more appropriate for ...
متن کاملBound Constrained Regularization for Ill-Posed Problems
We consider large scale ill-conditioned linear systems arising from discretization of ill-posed problems. Regularization is imposed through an (assumed known) upper bound constraint on the solution. An iterative scheme, requiring the computation of the smallest eigenvalue and corresponding eigenvector, is used to determine the proper level of regularization. In this paper we consider several co...
متن کاملNonlinear regularization methods for ill-posed problems
In this paper we consider nonlinear ill-posed problems with piecewise constant or strongly varying solutions. A class of nonlinear regularization methods is proposed, in which smooth approximations to the Heavyside function are used to reparameterize functions in the solution space by an auxiliary function of levelset type. The analysis of the resulting regularization methods is carried out in ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Inverse Problems
سال: 2008
ISSN: 0266-5611,1361-6420
DOI: 10.1088/0266-5611/24/3/034005