Results 11 to 20 of about 402,484 (165)
, 2022 Linear regression with shuffled labels and with a noisy latent design matrix arises in many correspondence recovery problems. We propose a total least-squares approach to the problem of estimating the underlying true permutation and provide an upper bound to the normalized Procrustes quadratic loss of the estimator.
Wang, Qian, Sussman, Daniel
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A Regularised Total Least Squares Approach for 1D Inverse Scattering
Mathematics, 2022 We study the inverse scattering problem for a Schrödinger operator related to a static wave operator with variable velocity, using the GLM (Gelfand–Levitan–Marchenko) integral equation.
Andreas Tataris, Tristan van Leeuwen
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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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A Polynomial Fitting Problem: The Orthogonal Distances Method
Mathematics, 2022 The classical curve-fitting problem to relate two variables, x and y, deals with polynomials. Generally, this problem is solved by the least squares method (LS), where the minimization function considers the vertical errors from the data points to the ...
Luis Alberto Cantera-Cantera +4 more
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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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Total Least Squares Registration of 3D Surfaces
International Journal of Environment and Geoinformatics, 2015 Co-registration of point clouds of partially scanned objects is the first step of the 3D modeling workflow. The aim of co-registration is to merge the overlapping point clouds by estimating the spatial transformation parameters.
Umut Aydar, M. Orhan Altan
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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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Regularization by Truncated Total Least Squares [PDF]
SIAM Journal on Scientific Computing, 1997 The truncated total least squares (TLS) technique is investigated. It filters the solution by truncating the small singular values of the TLS matrix. The given iterative algorithm for computing the truncated TLS solution bases on Lanczos bidiagonalization. The algorithm is efficient when the number of retained singular values is small compared with the
Fierro, R. D. +3 more
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Properties of the total least squares estimation
Geodesy and Geodynamics, 2012 Through theoretical derivation, some properties of the total least squares estimation are found. The total least squares estimation is the linear transformation of the least squares estimation, and the total least squares estimation is unbiased.
Wang Leyang
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