Results 271 to 280 of about 4,861,455 (309)
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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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Maximum likelihood, least squares, and penalized least squares for PET
IEEE Transactions on Medical Imaging, 1993The EM algorithm is the basic approach used to maximize the log likelihood objective function for the reconstruction problem in positron emission tomography (PET). The EM algorithm is a scaled steepest ascent algorithm that elegantly handles the nonnegativity constraints of the problem. It is shown that the same scaled steepest descent algorithm can be
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Least Squares or Least Circles?
CHANCE, 2010(2010). Least Squares or Least Circles? CHANCE: Vol. 23, Collecting Data in Challenging Settings, pp. 38-42.
Ivo Petras, Igor Podlubny
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Least Squares Sign-Solvability
SIAM Journal on Matrix Analysis and Applications, 1995Let $Ax = b$ be a linear system. We study the relationship between the sign pattern of the least squares solution to $Ax = b$ and the sign patterns of A and b. The system $Ax = b$ is least squares sign-solvable if the signs of the entries in its least square solution can be determined solely from the signs of the entries of A and b.
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Review of Ordinary Least Squares and Generalized Least Squares
1984The purpose of this chapter is to review the fundamentals of ordinary least squares and generalized least squares in the context of linear regression analysis. The presentation here is somewhat condensed given our objective of focusing on more advanced topics in econometrics.
Thomas B. Fomby +2 more
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Least squares parameter estimation
Automatica, 1979Abstract This article demonstrates the application of least squares for the estimation of system parameters. Analytic as well as numerical approaches are described. The model of the system dynamics is assumed in the form of regression model. Solutions are discussed for the case of white noise and correlated noise corrupting the useful output signal ...
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An Algorithm for Least Squares
Journal of Mathematics and Physics, 1947Nielsen, K. L., Goldstein, L.
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Least Median of Squares Regression
Journal of the American Statistical Association, 1984Peter Rousseeuw
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