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Weighted and structured sparse total least-squares for perturbed compressive sampling
2011 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), 2011Solving linear regression problems based on the total least-squares (TLS) criterion has well-documented merits in various applications, where perturbations appear both in the data vector as well as in the regression matrix. Weighted and structured generalizations of the TLS approach are further motivated in several signal processing and system ...
Hao Zhu 0001 +2 more
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Jackknife resample method for precision estimation of weighted total least squares
Communications in Statistics - Simulation and Computation, 2019Few studies have been conducted on the precision estimation of weighted total least squares (WTLS) by using the approximate function probability distribution method.
Leyang Wang, Fengbin Yu
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Jackknife method for the location of gross errors in weighted total least squares
Communications in Statistics - Simulation and Computation, 2019AbstractBecause the weighted total least squares (WTLS) method lacks robustness and is sensitive to gross errors, it cannot eliminate the influence of outliers effectively.
Leyang Wang, Zhiqiang Li, Fengbin Yu
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2020
<p>The errors-in-variables (EIV) model is applied to surveying and mapping fields such as empirical coordinate transformation, line/plane fitting and rigorous modelling of point clouds and so on as it takes the errors both in coefficient matrix and observation vector into account.
Xie Jian, Long Sichun
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<p>The errors-in-variables (EIV) model is applied to surveying and mapping fields such as empirical coordinate transformation, line/plane fitting and rigorous modelling of point clouds and so on as it takes the errors both in coefficient matrix and observation vector into account.
Xie Jian, Long Sichun
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Web image interpolation via weighted total least squares regression
2012 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), 2012Although ordinary least squares (OLS) regression achieves great success in clean image interpolation, its effectiveness is questionable in the scenario of web images which are usually compressed beforehand. The inherent flaw of OLS is that it is asymmetric, the perturbation is only confined on the right side of the linear system.
Xianming Liu +4 more
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Weighted total least squares applied to mixed observation model
Survey Review, 2016This contribution presents the weighted total least squares (WTLS) formulation for a mixed errors-in-variables (EIV) model, generally consisting of two erroneous coefficient matrices and two erroneous observation vectors. The formulation is conceptually simple because it is formulated based on the standard least squares theory.
A. R. Amiri-Simkooei +2 more
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A robust weighted total least-squares solution with Lagrange multipliers
Survey Review, 2015Weighted total least-squares (WTLS) is becoming popular for parameter estimations in geodesy and surveying. However, it does not take into consideration the possible gross errors in observations, which may lead to a reduction in the robustness and reliability of parameter estimations. In order to solve this problem, in this study, Lagrange multipliers (
X. Gong, Z. Li
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A weighted total least-squares algorithm for fitting a straight line
Measurement Science and Technology, 2007The well-known problem of fitting a straight line to data with uncertainties in both coordinates is revisited. An algorithm is developed which treats x- and y-data in a symmetrical way. The problem is reduced to a one-dimensional search for a minimum.
M Krystek, M Anton
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Frequency weighted generalized total least squares linear prediction for frequency estimation
Proceedings of the 1998 IEEE International Conference on Acoustics, Speech and Signal Processing, ICASSP '98 (Cat. No.98CH36181), 2002This paper presents a frequency weighted generalized total least squares linear prediction for estimating closely spaced sinusoids. In this method, the received data is first processed by a pole-zero prefilter and then a generalized total least squares linear prediction is applied to the prefiltered signal.
Shu Hung Leung +2 more
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Jackknife resampling parameter estimation method for weighted total least squares
Communications in Statistics - Theory and Methods, 2019To make the result of weighted total least squares (WTLS) parameter estimation more accurate, the Jackknife method is used to resample the observed data and make full use of Jackknife samples for m...
Leyang Wang, Fengbin Yu
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