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Total least-squares EIO model, algorithms and applications
Geodesy and Geodynamics, 2019 A functional model named EIO (Errors-In-Observations) is proposed for general TLS (total least-squares) adjustment. The EIO model only considers the correction of the observation vector, but doesn't consider to correct all elements in the design matrix ...
Xingsheng Deng +3 more
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Unifying Least Squares, Total Least Squares and Data Least Squares [PDF]
, 2002 The standard approaches to solving overdetermined linear systems A x ≈ b construct minimal corrections to the vector b and/or the matrix A such that the corrected system is compatible. In ordinary least squares (LS) the correction is restricted to b, while in data least squares (DLS) it is restricted to A. In scaled total least squares (Scaled TLS) [15]
Christopher C. Paige, Zdeněk Strakoš
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Least-squares methods for identifying biochemical regulatory networks from noisy measurements [PDF]
, 2007 <b>Background</b>: We consider the problem of identifying the dynamic interactions in biochemical networks from noisy experimental data.
Postlethwaite, I. +18 more
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Downscaling GRACE total water storage change using partial least squares regression
Scientific Data, 2021 Measurement(s) Gravity Technology Type(s) gravity field theory • computational modeling technique Factor Type(s) geographic location • temporal interval Sample Characteristic - Environment water body Sample Characteristic - Location global Machine ...
Bramha Dutt Vishwakarma +2 more
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On the complex least squares problem with constrained phase [PDF]
, 2011 The problem of solving approximately in the least squares sense an overdetermined linear system of equations with complex valued coefficients is considered, where the elements of the solution vector are constrained to have the same phase.
Markovsky, Ivan, Ivan Markovsky
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PERFORMING IMPROVED TWO-STEP CAMERA CALIBRATION WITH WEIGHTED TOTAL LEAST-SQUARES [PDF]
The International Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences, 2012 In order to improve the Tsai's two-step camera calibration method, we present a camera model which accounts for major sources of lens distortion, namely: radial, decentering, and thin prism distortions.
J. Lu
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Scaled total least squares fundamentals [PDF]
Numerische Mathematik, 2002 The authors analyse a particularly useful formulation of the scaled total least squares problem. The analysis is based on a new assumption that guarantees existence and uniqueness of meaningful solution for real positive parameters. The proposed in the paper theoretical considerations complex data are allowed.
Christopher C. Paige, Zdenek Strakos
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Condition numbers of the mixed least squares-total least squares problem revisited
Linear and Multilinear Algebra, 2022 20 ...
Qiaohua Liu, Qian Zhang, Dongmei Shen
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Energies, 2019 This paper deals with the use of least mean squares (LMS, NLMS) and recursive least squares (RLS) algorithms for total harmonic distortion (THD) reduction using shunt active power filter (SAPF) control.
Radek Martinek +4 more
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Total Least Squares Approach to Modeling: A Matlab Toolbox [PDF]
Acta Montanistica Slovaca, 2010 This paper deals with a mathematical method known as total least squares or orthogonal regression or error-in-variables method.The mentioned method can be used for modeling of static and also dynamic processes.
Ivo Petráš, Dagmar Bednárová
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