Results 1 to 10 of about 1,508,735 (186)
A Stochastic Total Least Squares Solution of Adaptive Filtering Problem [PDF]
The Scientific World Journal, 2014 An efficient and computationally linear algorithm is derived for total least squares solution of adaptive filtering problem, when both input and output signals are contaminated by noise.
Shazia Javed, Noor Atinah Ahmad
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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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Götterdämmerung over total least squares [PDF]
Journal of Geodetic Science, 2016 The traditional way of solving non-linear least squares (LS) problems in Geodesy includes a linearization of the functional model and iterative solution of a nonlinear equation system.
Malissiovas G., Neitzel F., Petrovic S.
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On weighted structured total least squares [PDF]
, 2006 In this contribution we extend the result of (Markovsky et. al, SIAM J. of Matrix Anal. and Appl., 2005) to the case of weighted cost function. It is shown that the computational complexity of the proposed algorithm is preserved linear in the sample size
G. Golub +4 more
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Convex Total Least Squares [PDF]
, 2014 We study the total least squares (TLS) problem that generalizes least squares regression by allowing measurement errors in both dependent and independent variables. TLS is widely used in applied fields including computer vision, system identification and
Malioutov, Dmitry M., Slavov, Nikolai
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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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A Recursive Restricted Total Least-squares Algorithm
IEEE Transactions on Signal Processing, 2014 International audienceWe show that the generalized total least squares (GTLS) problem with a singular noise covariance matrix is equivalent to the restricted total least squares (RTLS) problem and propose a recursive method for its numerical solution ...
Gauterin, Frank +3 more
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Fast Algorithms for Structured Least Squares and Total Least Squares Problems. [PDF]
J Res Natl Inst Stand Technol, 2006 We consider the problem of solving least squares problems involving a matrix M of small displacement rank with respect to two matrices Z 1 and Z 2. We develop formulas for the generators of the matrix M (H) M in terms of the generators of M and show that the Cholesky factorization of the matrix M (H) M can be computed quickly if Z 1 is close to unitary
Kalsi A, O'Leary DP.
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Implicit iterative algorithm for solving regularized total least squares problems [PDF]
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2022 The article considers a new iterative algorithm for solving total least squares problems. A new version of the implicit method of simple iterations based on singular value decomposition is proposed for solving a biased normal system of algebraic ...
Dmitriy V. Ivanov, Aleksandr I. Zhdanov
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Total least squares methods [PDF]
WIREs Computational Statistics, 2010 Recent advances in total least squares approaches for solving various errors-in-variables modeling problems are reviewed, with emphasis on the following generalizations:1.the use of weighted norms as a measure of the data perturbation size, capturing prior knowledge about uncertainty in the data;2.the addition of constraints on the perturbation to ...
Markovsky, Ivan +2 more
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