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Partial least squares regression and projection on latent structure regression (PLS Regression)
WIREs Computational Statistics, 2010AbstractPartial least squares (PLS) regression (a.k.a. projection on latent structures) is a recent technique that combines features from and generalizes principal component analysis (PCA) and multiple linear regression. Its goal is to predict a set of dependent variables from a set of independent variables or predictors. This prediction is achieved by
H. Abdi
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A novel robust NL-PLS regression methodology
Chemometrics and Intelligent Laboratory Systems, 2019Abstract Partial Least Squares-1 (PLS) is known to be a reliable regression methodology. However, the linear form of the resulting predictive model from a PLS regression may yield poor predictive performances in the presence of important nonlinear X-y relations.
Francis B. Lavoie +2 more
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PLS generalised linear regression
Computational Statistics & Data Analysis, 2005zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bastien, Philippe +2 more
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The Sequential and Orthogonalized PLS Regression for Multiblock Regression
Data Handling in Science and Technology, 2019In this chapter, the sequentially orthogonalized-PLS (SO-PLS) method and some of its main extensions are described and illustrated. Both theoretical aspects and applications on real data are discussed.
Alessandra Biancolillo, Tormod Næs
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Signal Smoothing with PLS Regression
Analytical Chemistry, 2018Smoothing of instrumental signals is an important prerequisite in data processing. Various smoothing methods were suggested through the last decades each having their own benefits and drawbacks. Most of the filtering methods are based on averaging in a certain window (e.g., Savitzky-Golay) or on frequency-domain representation (e.g., Fourier filtering).
Vitaly, Panchuk +3 more
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Journal of Chemometrics, 1992
AbstractWe treat here an extension of linear PLS regression to include regression on quadratic PLS components. The quadratic regression can be viewed as a natural extention of linear PLS regression to quadratic PLS according to the H‐principle of mathematical modelling. The numerical implementation is treated in detail.
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AbstractWe treat here an extension of linear PLS regression to include regression on quadratic PLS components. The quadratic regression can be viewed as a natural extention of linear PLS regression to quadratic PLS according to the H‐principle of mathematical modelling. The numerical implementation is treated in detail.
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PLS-regression: a basic tool of chemometrics
Chemometrics and Intelligent Laboratory Systems, 2001S. Wold, M. Sjöström, L. Eriksson
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Variable and subset selection in PLS regression
Chemometrics and Intelligent Laboratory Systems, 2001The purpose of this paper is to present some useful methods for introductory analysis of variables and subsets in relation to PLS regression. We present here methods that are efficient in finding the appropriate variables or subset to use in the PLS regression.
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Talanta: The International Journal of Pure and Applied Analytical Chemistry, 2023
Fructus Gardeniae (FG) is the desiccative and ripe fruits of Gardenia jasminoides Ellis in the Rubiaceae family, which is a commonly used in traditional Chinese medicine (TCM) for clearing away heat, detoxification, relieving restlessness, and ...
Xue Zhang +7 more
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Fructus Gardeniae (FG) is the desiccative and ripe fruits of Gardenia jasminoides Ellis in the Rubiaceae family, which is a commonly used in traditional Chinese medicine (TCM) for clearing away heat, detoxification, relieving restlessness, and ...
Xue Zhang +7 more
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Ridge Regression and PLS Regression
American Review of Mathematics and Statistics, 2023A brief review of Ridge Regression (RR) and PLS Regression (PLS) is presented. Process and Spectral data are used in the analysis. Both are low-rank data, which is common in chemometric work.
A. Höskuldsson
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