학술논문
Experimental design in the context of Tikhonov regularized inverse problems.
Document Type
Article
Author
Source
Subject
*EXPERIMENTAL design
*INVERSION (Geophysics)
*TIKHONOV regularization
*LINEAR systems
*BAYES' estimation
*SEMIDEFINITE programming
*CONTROL theory (Engineering)
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Language
ISSN
1471-082X
Abstract
The method of Tikhonov regularization is commonly used to obtain regularized solutions of ill-posed linear inverse problems. We use its natural connection to optimal Bayes estimators to determine optimal experimental designs that can be used with Tikhonov regularization; they are designed to control a measure of total relative efficiency. We present an iterative/semidefinite programming hybrid method to explore the configuration space efficiently. Two examples from geophysics are used to illustrate the type of applications to which the methodology can be applied. [ABSTRACT FROM PUBLISHER]