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Total least squares methods [PDF]

open access: yesWIREs Computational Statistics, 2010
Recent advances in total least squares approaches for solving various errors-in-variables modeling problems are reviewed, with emphasis on the following generalizations:1.the use of weighted norms as a measure of the data perturbation size, capturing prior knowledge about uncertainty in the data;2.the addition of constraints on the perturbation to ...
Markovsky, Ivan   +2 more
openaire   +4 more sources

An Automatic Baseline Correction Method Based on the Penalized Least Squares Method [PDF]

open access: yesSensors, 2020
Baseline drift spectra are used for quantitative and qualitative analysis, which can easily lead to inaccurate or even wrong results. Although there are several baseline correction methods based on penalized least squares, they all have one or more ...
Feng Zhang   +4 more
doaj   +2 more sources

Overview of total least-squares methods [PDF]

open access: yesSignal Processing, 2007
We review the development and extensions of the classical total least-squares method and describe algorithms for its generalization to weighted and structured approximation problems. In the generic case, the classical total least-squares problem has a unique solution, which is given in analytic form in terms of the singular value decomposition of the ...
Ivan Markovsky, Sabine Van Huffel
openaire   +4 more sources

DWNN-RLS: regularized least squares method for predicting circRNA-disease associations [PDF]

open access: yesBMC Bioinformatics, 2018
Background Many evidences have demonstrated that circRNAs (circular RNA) play important roles in controlling gene expression of human, mouse and nematode.
Cheng Yan, Jianxin Wang, Fang-Xiang Wu
doaj   +2 more sources

Moving Least Squares Method and its Improvement: A Concise Review [PDF]

open access: yesJournal of Applied and Computational Mechanics, 2021
The concise review systematically summarises the state-of-the-art variants of Moving Least Squares (MLS) method. MLS method is a mathematical tool which could render cogent support in data interpolation, shape construction and formulation of meshfree ...
Wah Yen Tey   +4 more
doaj   +1 more source

Chebyshev Approximations by Least Squares Method

open access: yesИзвестия Иркутского государственного университета: Серия "Математика", 2020
We consider the problem of linear approximation in the form of the minimization problem of the weighted Chebyshev norm, and that in the form of the minimization problem of the weighted Euclidean norm of the residual vector.
V.I. Zorkaltsev, E. V. Gubiy
doaj   +1 more source

Iterative least squares method for global positioning system [PDF]

open access: yesAdvances in Radio Science, 2011
The efficient implementation of positioning algorithms is investigated for Global Positioning System (GPS). In order to do the positioning, the pseudoranges between the receiver and the satellites are required.
Y. He, A. Bilgic
doaj   +1 more source

A New Endmember Extraction Method Based on Least Squares

open access: yesCanadian Journal of Remote Sensing, 2022
Endmember extraction is frequently adopted to detect spectrally unique signatures of pure ground materials in hyperspectral imagery. These endmembers are the purest pixels in the HSI data cubes. Every pixel in a HSI data cube can be expressed as a linear
Guangyi Chen, Adam Krzyzak, Shen-En Qian
doaj   +1 more source

Social network user geolocating method based on weighted least squares

open access: yes网络与信息安全学报, 2022
When providing location-based dating and other location-based services, social networks will confuse the displayed user distance text to protect the user’s location privacy.In order to verify whether the current location confusion mechanism adopted by ...
Wenqi SHI, Xiangyang LUO, Jiashan GUO
doaj   +3 more sources

Partial Least Squares Optimization Method Integrating Restricted Boltzmann Machine [PDF]

open access: yesJisuanji gongcheng, 2017
Partial Least Squares(PLS) method adopts Principal Component Analysis(PCA),it cannot express the nonlinear characteristic,and the prediction accuracy is low in the nonlinear data.Based on this,an analysis and predicting method combining Restricted ...
ZHU Zhipeng,DU Jianqiang,YU Riyue,NIE Bin
doaj   +1 more source

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