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Partial Least Squares Methods: Partial Least Squares Correlation and Partial Least Square Regression
2012Partial least square (PLS) methods (also sometimes called projection to latent structures) relate the information present in two data tables that collect measurements on the same set of observations. PLS methods proceed by deriving latent variables which are (optimal) linear combinations of the variables of a data table.
Hervé, Abdi, Lynne J, Williams
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The least‐squares meshfree method
International Journal for Numerical Methods in Engineering, 2001AbstractA new efficient meshfree method is presented in which the first‐order least‐squares method is employed instead of the Galerkin's method. In the meshfree methods based on the Galerkin formulation, the source of many difficulties is in the numerical integration. The current method, in this respect, has different characteristics and is expected to
Park, SH, Youn, SK Youn, Sung-Kie
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2009
The method of least squares controls the flow of errors via the elements of the design matrix. Hence, assuming linear systems with differing design matrices aiming at the same set of unknowns, the adjustment’s uncertainties would differ even if the uncertainties of the input data were the same.
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The method of least squares controls the flow of errors via the elements of the design matrix. Hence, assuming linear systems with differing design matrices aiming at the same set of unknowns, the adjustment’s uncertainties would differ even if the uncertainties of the input data were the same.
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2020
This chapter is dedicated to the nonlinear weighted least-squares method. The practical solution is explained, and useful statistical diagnostics are described. The importance of the choice of correct weights is discussed. The mixed regression, a method particularly useful for a structure determination, is detailed together with several examples ...
Jean Demaison, Natalja Vogt
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This chapter is dedicated to the nonlinear weighted least-squares method. The practical solution is explained, and useful statistical diagnostics are described. The importance of the choice of correct weights is discussed. The mixed regression, a method particularly useful for a structure determination, is detailed together with several examples ...
Jean Demaison, Natalja Vogt
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2016
The English version of this paper appeared two years after the Chinese “original”. During the 1950s and early 1960s, DDK visited China several times on exchange programmes.
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The English version of this paper appeared two years after the Chinese “original”. During the 1950s and early 1960s, DDK visited China several times on exchange programmes.
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Least‐squares collocation meshless method
International Journal for Numerical Methods in Engineering, 2001AbstractA finite point method, least‐squares collocation meshless method, is proposed. Except for the collocation points which are used to construct the trial functions, a number of auxiliary points are also adopted. Unlike the direct collocation method, the equilibrium conditions are satisfied not only at the collocation points but also at the ...
Zhang, Xiong +3 more
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2014
This chapter introduces the deterministic counterpart of the statistical Wiener filter theory. The problems of adaptation are addressed in the case where the filter input signals are sequences generated by linear deterministic models without any assumption on their statistics.
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This chapter introduces the deterministic counterpart of the statistical Wiener filter theory. The problems of adaptation are addressed in the case where the filter input signals are sequences generated by linear deterministic models without any assumption on their statistics.
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LEAST-SQUARES MESHFREE COLLOCATION METHOD
International Journal of Computational Methods, 2012A least-squares meshfree collocation method is presented. The method is based on the first-order differential equations in order to result in a better conditioned linear algebraic equations, and to obtain the primary variables (displacements) and the dual variables (stresses) simultaneously with the same accuracy.
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