A comparison of truncated total least squares with Tikhonov regularization in imaging by ultrasound inverse scattering

2003 ◽  
Vol 48 (15) ◽  
pp. 2437-2451 ◽  
Author(s):  
Chao Liu ◽  
Yuanmei Wang ◽  
Pheng Ann Heng
Keyword(s):  
Least Squares ◽  
Inverse Scattering ◽  
Tikhonov Regularization ◽  
Total Least Squares ◽  
Truncated Total Least Squares

scholarly journals Reply to “Comments on ‘Erroneous Model Field Representations in Multiple Pseudoproxy Studies: Corrections and Implications’”*

2013 ◽  
Vol 26 (10) ◽  
pp. 3485-3486 ◽  
Author(s):  
Jason E. Smerdon ◽  
Alexey Kaplan ◽  
Daniel E. Amrhein
Keyword(s):  
Least Squares ◽  
Northern Hemisphere ◽  
Expectation Maximization ◽  
Strong Influence ◽  
Total Least Squares ◽  
Model Field ◽  
Spatial Skill ◽  
Spatial Performance ◽  
Quantitative Results ◽  
Truncated Total Least Squares

Abstract The commenters confirm the errors identified and discussed in Smerdon et al., which either invalidated or required the reinterpretation of quantitative results from pseudoproxy experiments presented or used in several earlier papers. These errors have a strong influence on the spatial skill assessments of climate field reconstructions (CFRs), despite their small impacts on skill statistics averaged over the Northern Hemisphere. On the basis of spatial performance and contrary to the claim by the commenters, the Regularized Expectation Maximization method using truncated total least squares (RegEM-TTLS) cannot be considered a preferred CFR technique. Moreover, distinctions between CFR methods in the context of the discussion in the original paper are immaterial. Continued investigations using accurately described and faithfully executed pseudoproxy experiments are critical for further evaluation and improvement of CFR methods.

scholarly journals Tikhonov Regularization and Total Least Squares

1999 ◽  
Vol 21 (1) ◽  
pp. 185-194 ◽  
Author(s):  
Gene H. Golub ◽  
Per Christian Hansen ◽  
Dianne P. O'Leary
Keyword(s):  
Least Squares ◽  
Tikhonov Regularization ◽  
Total Least Squares

Truncated Total Least Squares: A New Regularization Method for the Solution of ECG Inverse Problems

2008 ◽  
Vol 55 (4) ◽  
pp. 1327-1335 ◽  
Author(s):  
Guofa Shou ◽  
Ling Xia ◽  
Mingfeng Jiang ◽  
Qing Wei ◽  
Feng Liu ◽  
...  
Keyword(s):  
Inverse Problems ◽  
Least Squares ◽  
Regularization Method ◽  
Total Least Squares ◽  
Truncated Total Least Squares
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