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Robust Total Least Squares Estimation Method for Uncertain Linear Regression Model
Mathematics, 2023 In data analysis and modeling, least squares and total least squares are both mathematical optimization techniques. It is noteworthy that both the least squares method and the total least squares method are used to deal with precise and random data ...
Hongmei Shi +4 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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General Total Least Squares Theory for Geodetic Coordinate Transformations
Applied Sciences, 2020 Datum transformations are a fundamental issue in geodesy, Global Positioning System (GPS) science and technology, geographical information science (GIS), and other research fields.
Yuxin Qin +3 more
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Short-Arc Horizon-Based Optical Navigation by Total Least-Squares Estimation
Aerospace, 2023 Horizon-based optical navigation (OPNAV) is an attractive solution for deep space exploration missions, with strong autonomy and high accuracy. In some scenarios, especially those with large variations in spacecraft distance from celestial bodies, the ...
Huajian Deng +3 more
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Geoplanning: Journal of Geomatics and Planning, 2016 Spirit levelling has been the traditional means of determining Reduced Levels (RL’s) of points by most surveyors. The assertion that the level instrument is the best instrument for determining elevations of points needs to be reviewed; this is because ...
Richard Fiifi Annan +3 more
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Nonlinear total least-squares variance component estimation for GM(1,1) model
Geodesy and Geodynamics, 2021 The solution of the grey model (GM(1,1) model) generally involves equal-precision observations, and the (co)variance matrix is established from the prior information.
Leyang Wang, Jianqiang Sun, Qiwen Wu
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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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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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Deformation analysis with Total Least Squares [PDF]
Natural Hazards and Earth System Sciences, 2006 Deformation analysis is one of the main research fields in geodesy. Deformation analysis process comprises measurement and analysis phases. Measurements can be collected using several techniques. The output of the evaluation of the measurements is mainly
M. Acar +4 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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