A New Method for TSVD Regularization Truncated Parameter Selection

Zemin Wu, Shaofeng Bian, Caibing Xiang and Yude Tong

Mathematical Problems in Engineering, 2013, vol. 2013, 1-9

Abstract:

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 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.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:161834

DOI: 10.1155/2013/161834

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