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Least-Squares Independent Component Analysis

Neural Computation, 2011
Accurately evaluating statistical independence among random variables is a key element of independent component analysis (ICA). In this letter, we employ a squared-loss variant of mutual information as an independence measure and give its estimation method.
Suzuki, T., Sugiyama, M.
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Perturbation analysis for mixed least squares–total least squares problems

Numerical Linear Algebra with Applications, 2019
SummaryIn many linear parameter estimation problems, one can use the mixed least squares–total least squares (MTLS) approach to solve them. This paper is devoted to the perturbation analysis of the MTLS problem. Firstly, we present the normwise, mixed, and componentwise condition numbers of the MTLS problem, and find that the normwise, mixed, and ...
Bing Zheng, Zhanshan Yang
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NOHARM: Least Squares Item Factor Analysis

Multivariate Behavioral Research, 1988
(1988). NOHARM: Least Squares Item Factor Analysis. Multivariate Behavioral Research: Vol. 23, No. 2, pp. 267-269.
C, Fraser, R P, McDonald
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Perturbation Analysis of Orthogonal Least Squares

Canadian Mathematical Bulletin, 2019
AbstractThe Orthogonal Least Squares (OLS) algorithm is an efficient sparse recovery algorithm that has received much attention in recent years. On one hand, this paper considers that the OLS algorithm recovers the supports of sparse signals in the noisy case. We show that the OLS algorithm exactly recovers the support of $K$-sparse signal $\boldsymbol{
Geng, Pengbo, Chen, Wengu, Ge, Huanmin
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Unified Least Squares Analysis

Journal of the American Statistical Association, 1965
Abstract It is seen (through consideration of generalized inverses) that the abbreviated Doolittle method serves, in problems of linear estimation, as a solution technique for models of less than full rank as well as for models of full rank, and in identically the same fashion.
C. A. Rohde, J. R. Harvey
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Least square methods in structural analysis

Computers & Structures, 2002
A new approach to structural analysis is presented. The method uses equilibrium and deformation geometry field relations directly without resorting to an energy formulation. A matrix vector of errors in the field relations is minimized first with respect to the internal quantities, e.g., the moments.
L. Selna, A. Hakam
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Hybrid Least-Squares Regression Analysis

1998
A method for hybrid least-squares regression, based on the weighted fuzzy arithmetic and the least-squares fitting criterion, is developed in this chapter. Both bivariate regression model and multiple regression model are derived and developed. Two numerical examples are used to demonstrate the proposed method.
Yun-Hsi Oscar Chang, Bilal M. Ayyub
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