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Tikhonov regularization for weighted total least squares problems
Applied Mathematics Letters, 2007 A general version of Tikhonov's formulation for the linear weighted total least squares (WTLS) problem has been considered by \textit{G. H. Golub} and \textit{C. F. van Loan} [SIAM J. Numer. Anal. 17, 883--893 (1980; Zbl 0468.65011)]. The present paper focus on the regularized weighted total least squares (RWTLS) formulation. It is shown that the RWTLS
Yimin Wei, Naimin Zhang, Michael K Ng
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On weighted total least squares adjustment for solving the nonlinear problems
Journal of Geodetic Science, 2014 In the classical geodetic data processing, a non- linear problem always can be converted to a linear least squares adjustment. However, the errors in Jacob matrix are often not being considered when using the least square method to estimate the optimal ...
Hu C., Chen Y., Peng Y.
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The element-wise weighted total least-squares problem [PDF]
Computational Statistics & Data Analysis, 2006 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ivan Markovsky +4 more
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On Weighted Structured Total Least Squares [PDF]
, 2006 In this contribution we extend our previous results on the structured total least squares problem to the case of weighted cost functions. It is shown that the computational complexity of the proposed algorithm is preserved linear in the sample size when the weight matrix is banded with bandwidth that is independent of the sample size.
Ivan Markovsky, Sabine Van Huffel
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Weighted total least squares formulated by standard least squares theory [PDF]
Journal of Geodetic Science, 2012 Weighted total least squares formulated by standard least squares theoryThis contribution presents a simple, attractive, and flexible formulation for the weighted total least squares (WTLS) problem. It is simple because it is based on the well-known standard least squares theory; it is attractive because it allows one to directly use the existing body ...
Alireza Amiri-Simkooei
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Implicitly-weighted total least squares
Linear Algebra and its Applications, 2011 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Park, Sungwoo, O’Leary, Dianne P.
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Weighted Total Least Squares for Quadratic Errors-in-Variables Regression
2023 31st European Signal Processing Conference (EUSIPCO), 2023 In this paper, we present a study on using weightedtotal least squares method for parameter estimation of errorsin-variables models with quadratic regressors. The statistics oferror is analyzed to fill in the gap between basic assumptions inweighted total least squares and our case.
Liu, Peng +3 more
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Applying Monte Carlo Method for Straight-Line Model Sensor Calibration [PDF]
SensorsSensors are used in measurement systems to enable estimation of physical parameters. Their calibration is an essential requirement and to perform the overall system/sensor calibration, its input is changed while the output is measured. Parameters from an
Pedro M. Ramos, Fernando M. Janeiro
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Total Least Squares Spline Approximation [PDF]
Mathematics, 2019 Spline approximation, using both values y i and x i as observations, is of vital importance for engineering geodesy, e.g., for approximation of profiles measured with terrestrial laser scanners, because it enables the consideration of
Frank Neitzel +2 more
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Weighted Total Least Squares (WTLS) Solutions for Straight Line Fitting to 3D Point Data [PDF]
Mathematics, 2020 In this contribution the fitting of a straight line to 3D point data is considered, with Cartesian coordinates xi, yi, zi as observations subject to random errors.
Georgios Malissiovas +3 more
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