منابع مشابه
Total least squares methods
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 preserve the structure of the data matrix, motivated by structured data matrices occurring in signal and image processing, systems and control, and computer algebra; 3. the use of regularization in the problem for...
متن کاملOverview of total least-squares methods
We review the development and extensions of the classical total least squares method and describe algorithms for its generalization to weighted and structured approximation problems. In the generic case, the classical total least squares problem has a unique solution, which is given in analytic form in terms of the singular value decomposition of the data matrix. The weighted and structured tot...
متن کاملTotal Least Squares Approach in Regression Methods
Total least squares (TLS) is a data modelling technique which can be used for many types of statistical analysis, e.g. a regression. In the regression setup, both dependent and independent variables are considered to be measured with errors. Thereby, the TLS approach in statistics is sometimes called an errors-invariables (EIV) modelling and, moreover, this type of regression is usually known a...
متن کاملUnifying Least Squares, Total Least Squares and Data Least Squares
The standard approaches to solving overdetermined linear systems Ax ≈ 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], corrections to both b and A are allowed, ...
متن کاملGLOBAL TOTAL LEAST SQUARES Global Total Least Squares
A method for the construction of open approximate models from vector time series Preface PhD research is a largely open proces in which a stimulating environment plays a crucial role. I am indebted to several people and institutions that shaped such an environment for me during the years since April 1990. First and for all, I would like to thank my supervisor, Christiaan Heij. He set me on the ...
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ژورنال
عنوان ژورنال: Wiley Interdisciplinary Reviews: Computational Statistics
سال: 2010
ISSN: 1939-5108,1939-0068
DOI: 10.1002/wics.65