A New Method for TSVD Regularization Truncated Parameter Selection
Joint Authors
Wu, Zemin
Bian, Shaofeng
Xiang, Caibing
Tong, Yude
Source
Mathematical Problems in Engineering
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-11-17
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
The truncated singular value decomposition (TSVD) regularization applied in ill-posed problem is studied.
Through mathematical analysis, a new method for truncated parameter selection which is applied in TSVD regularization is proposed.
In the new method, all the local optimal truncated parameters are selected first by taking into account the interval estimation of the observation noises; then the optimal truncated parameter is selected from the local optimal ones.
While comparing the new method with the traditional generalized cross-validation (GCV) and L curve methods, a random ill-posed matrices simulation approach is developed in order to make the comparison as statistically meaningful as possible.
Simulation experiments have shown that the solutions applied with the new method have the smallest mean square errors, and the computational cost of the new algorithm is the least.
American Psychological Association (APA)
Wu, Zemin& Bian, Shaofeng& Xiang, Caibing& Tong, Yude. 2013. A New Method for TSVD Regularization Truncated Parameter Selection. Mathematical Problems in Engineering،Vol. 2013, no. 2013, pp.1-9.
https://search.emarefa.net/detail/BIM-1008573
Modern Language Association (MLA)
Wu, Zemin…[et al.]. A New Method for TSVD Regularization Truncated Parameter Selection. Mathematical Problems in Engineering No. 2013 (2013), pp.1-9.
https://search.emarefa.net/detail/BIM-1008573
American Medical Association (AMA)
Wu, Zemin& Bian, Shaofeng& Xiang, Caibing& Tong, Yude. A New Method for TSVD Regularization Truncated Parameter Selection. Mathematical Problems in Engineering. 2013. Vol. 2013, no. 2013, pp.1-9.
https://search.emarefa.net/detail/BIM-1008573
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1008573