Results 41 to 50 of about 14,001 (154)

Consistency of the total least squares estimator in the linear errors-in-variables regression

open access: yesModern Stochastics: Theory and Applications, 2018
This paper deals with a homoskedastic errors-in-variables linear regression model and properties of the total least squares (TLS) estimator. We partly revise the consistency results for the TLS estimator previously obtained by the author [18]. We present
Sergiy Shklyar
doaj   +1 more source

A Recursive Restricted Total Least-squares Algorithm

open access: yes, 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
core   +2 more sources

Consistent joint photometric and geometric image registration [PDF]

open access: yes, 2010
In this paper, we derive a novel robust image alignment technique that performs joint geometric and photometric registration in the total least square sense.
Goossens, Bart   +3 more
core   +2 more sources

Modeling and Estimation for Real-Time Microarrays [PDF]

open access: yes, 2008
Microarrays are used for collecting information about a large number of different genomic particles simultaneously. Conventional fluorescent-based microarrays acquire data after the hybridization phase.
Hassibi, Arjang   +2 more
core   +2 more sources

Geodesic least squares regression on information manifolds [PDF]

open access: yes, 2014
We present a novel regression method targeted at situations with significant uncertainty on both the dependent and independent variables or with non-Gaussian distribution models.
Verdoolaege, Geert
core   +2 more sources

A Gauss--Newton iteration for Total Least Squares problems [PDF]

open access: yes, 2017
The Total Least Squares solution of an overdetermined, approximate linear equation $Ax \approx b$ minimizes a nonlinear function which characterizes the backward error.
Fasino, Dario, Fazzi, Antonio
core   +2 more sources

Landslide Deformation Extraction from Terrestrial Laser Scanning Data with Weighted Least Squares Regularization Iteration Solution

open access: yesRemote Sensing, 2022
The extraction of landslide deformation using terrestrial laser scanning (TLS) has many important applications. The landslide deformation can be extracted based on a digital terrain model (DTM).
Lidu Zhao   +6 more
doaj   +1 more source

Global convergence of RTLSQEP: A solver of regularized total least squares problems via quadratic eigenproblems

open access: yesMathematical Modelling and Analysis, 2008
The total least squares (TLS) method is a successful approach for linear problems if both the matrix and the right hand side are contaminated by some noise.
Jörg Lampe, Heinrich Voss
doaj   +1 more source

General Total Least Squares Theory for Geodetic Coordinate Transformations

open access: yesApplied 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
doaj   +1 more source

On errors-in-variables estimation with unknown noise variance ratio [PDF]

open access: yes, 2006
We propose an estimation method for an errors-in-variables model with unknown input and output noise variances. The main assumption that allows identifiability of the model is clustering of the data into two clusters that are distinct in a certain ...
Kukush, A.   +2 more
core   +1 more source

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