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[PDF] Top 20 On weighted structured total least squares

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On weighted structured total least squares

On weighted structured total least squares

... is a solution technique for an overdetermined system of equations AX ≈ B, A ∈ IR m × n , B ∈ IR m × d . It is a natural generalization of the least squares approximation method when the data in both A and B ... See full document

8

Consistency of the structured total least squares estimator in a multivariate errors in variables model

Consistency of the structured total least squares estimator in a multivariate errors in variables model

... In Markovsky et al. (2004) we implemented the proposed algorithm and compared it with the algorithms based on the structured total least norm approach (Lemmerling, 1999; Mastronardi, 2001). The ... See full document

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Application of structured total least squares for system identification and model reduction

Application of structured total least squares for system identification and model reduction

... global total least squares problem and alter- natively can be viewed as maximum likelihood identification in the errors-in-variables ...the structured total least squares ... See full document

11

Approximate factorization of multivariate polynomials using singular value decomposition

Approximate factorization of multivariate polynomials using singular value decomposition

... or structured total least squares ap- proximation and Gauss-Newton optimization to numerically compute the approximate multivariate ... See full document

19

Application of structured total least squares for system identification and model reduction

Application of structured total least squares for system identification and model reduction

... the structured total least squares method for MIMO system identifi- cation, which is the main contribution of the paper, is ...the structured total least squares ... See full document

6

An adapted version of the element wise weighted total least squares method for applications in chemometrics

An adapted version of the element wise weighted total least squares method for applications in chemometrics

... the total number of flops is a multiple of the flops necessary to execute one ...the total number of flops for each algorithm and for the different sizes of m, n and ... See full document

7

High performance numerical algorithms and software for structured total least squares

High performance numerical algorithms and software for structured total least squares

... The problems listed below are special cases of the block-Toeplitz/Hankel STLS problem, for particular choices of the structure specification K, D . If not given, K and the third element of D l are by default equal to ... See full document

21

On the equivalence between Total Least Squares and Maximum Likelihood PCA

On the equivalence between Total Least Squares and Maximum Likelihood PCA

... Furthermore, constrained TLS problems have been for- mulated. Arun [15] addressed the unitarily constrained TLS problem, i.e., XB ≈ Y , subject to the constraint that the solu- tion matrix B should be unitary. He proved ... See full document

14

Tree Based Orthogonal Least Squares Regression with Repeated Weighted Boosting Search

Tree Based Orthogonal Least Squares Regression with Repeated Weighted Boosting Search

... Abstract—Orthogonal Least Squares Regression (OLSR) selects each regressor by repeated weighted boosting search ...the total number of children in every tree ... See full document

9

Adaptive matching pursuit with constrained total least squares

Adaptive matching pursuit with constrained total least squares

... The grid misalignment problem in CS has recently received growing interest. The sensitivity of CS to the mismatch between the predefined and actual atoms is studied in [13]; however, the focus of that article is mainly ... See full document

12

Block Toeplitz/Hankel structured total least squares

Block Toeplitz/Hankel structured total least squares

... L. Eld´ en June 30, 2004; published electronically May 6, 2005. This research was supported by Research Council K. U. Leuven through grants GOA-Mefisto 666, IDO/99/003, and IDO/02/009 (predictive computer models for ... See full document

17

Overview of total least squares methods

Overview of total least squares methods

... classical total least squares method and describe algorithms for its generalization to weighted and structured approximation ...classical total least squares ... See full document

24

On the computation of the structured total least squares estimator

On the computation of the structured total least squares estimator

... Dr S. Van Huel is a full professor and I. Markovsky is a research assistant at the Katholieke Universiteit Leuven, Belgium. I. Markovsky is supported by a K.U. Leuven doctoral scholarship. Dr A. Kukush is supported by a ... See full document

18

The element wise weighted total least squares problem

The element wise weighted total least squares problem

... The total least-squares method yields an inconsistent estimate of the parameter in this ...Modified total least-squares problem, called element-wise weighted total ... See full document

29

Handling multicollinearity and outliers using weighted ridge least trimmed squares

Handling multicollinearity and outliers using weighted ridge least trimmed squares

... From Table 1 we can see that the SE for the LS is relatively greater than the other estimators when the errors are normally distributed in the presence of multicolinearity and outliers, likewise, the results in Table ... See full document

14

Communication efficient distributed weighted non linear least squares estimation

Communication efficient distributed weighted non linear least squares estimation

... communication-efficient distributed algorithm dubbed CREDO − N L (non-linear CREDO ). CREDO − N L generalizes the recently proposed linear method CREDO (Communication efficient REcursive Distributed estimatOr) to ... See full document

15

Standard and proportional error model comparison for logistic growth of green algae (Raphidocelis subcapiala)

Standard and proportional error model comparison for logistic growth of green algae (Raphidocelis subcapiala)

... There were 6 different individuals who took counts of the algae; this results in error based on one’s counting practice and/or skill. An ANOVA statistical anal- ysis was performed on a one time count of a sample of ... See full document

21

Structured total least norm and approximate GCDs of inexact polynomials

Structured total least norm and approximate GCDs of inexact polynomials

... a structured low rank approximation of S(f, g) and an approximate GCD com- putation is not required, then the default value α = 1 must be ...from structured low rank approximations of S(f, αg), and thus the ... See full document

22

A weighted least squares solution for space intersection of spaceborne stereo SAR data

A weighted least squares solution for space intersection of spaceborne stereo SAR data

... The previous work on shuttle image radar (SIR-B) data and European remote sensing satellite (ERS-1) data at University College London (UCL), London, U.K., suggests that the stereo- scopic SAR approach is a promising tool ... See full document

8

Asymptotic properties of weighted least squares estimation in weak parma models

Asymptotic properties of weighted least squares estimation in weak parma models

... In this work, we have established under mild assumptions, the almost sure consistency and the asymp- totic normality of the weighted least squares estimators for invertible and causal PARMA models ... See full document

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