2010
DOI: 10.1002/wics.51
|View full text |Cite
|
Sign up to set email alerts
|

Partial least squares regression and projection on latent structure regression (PLS Regression)

Abstract: Partial 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 extracting from the predictors a set of orthogonal factors called latent variables which have the best predictive power. These latent variables can be used to create dis… Show more

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...
2
2
1

Citation Types

2
779
0
11

Year Published

2012
2012
2020
2020

Publication Types

Select...
5
3

Relationship

0
8

Authors

Journals

citations
Cited by 1,177 publications
(792 citation statements)
references
References 34 publications
2
779
0
11
Order By: Relevance
“…Indeed, its goal is to predict the dependent variables (Y), selecting a limited number of new orthogonal factors (T) and a set of specific loadings (P) able to simultaneously both X and Y, in order to reduce the high dimensionality of the input dataset [8,22,33,36,[61][62][63][64]. Thus, X is calculated by applying the following equation:…”
Section: Partial Least Squares Regression (Plsr)mentioning
confidence: 99%
See 1 more Smart Citation
“…Indeed, its goal is to predict the dependent variables (Y), selecting a limited number of new orthogonal factors (T) and a set of specific loadings (P) able to simultaneously both X and Y, in order to reduce the high dimensionality of the input dataset [8,22,33,36,[61][62][63][64]. Thus, X is calculated by applying the following equation:…”
Section: Partial Least Squares Regression (Plsr)mentioning
confidence: 99%
“…Typically, it increases until it reaches a certain number of LVs before declining again. For that reason, it is fundamental to select the optimal number of LVs for each model, which allow us to obtain the best quality [64][65][66]. In this study, the optimal number of LVs for each PLSR model per grassland trait was estimated based on the root mean square error (RMSE) for the leave-one-out cross-validation (LOOCV).…”
Section: Partial Least Squares Regression (Plsr)mentioning
confidence: 99%
“…(Insert Table 2 about here) modeling the former as predictor variables and the latter inputted as dependent variables, using partial least squares (PLS) regression, which allows for multiple independent variables (the 10 variables comprising the GREENER framework in this case) to predict multiple dependent variables (the 18 EBPIs) (Abdi, 2010). PLS has become widely used and recognized in general customer satisfaction research as well as identifying success factors in the marketing literature (Henseler, Ringle, & Sinkovics, 2009).…”
Section: ) Comparing and Contrastingmentioning
confidence: 99%
“…The utility of PLS over traditional regression approaches lies in the way dependent variables are modeled via determination of their common structure with the predictors, from which parameter estimates are based (Abdi, 2010;Höskuldsson, 1988;Wold, Sjöström, & Eriksson, 2001). An alternative analytical technique would have been to use canonical correlation analysis (CCA), which maximizes the correlation between two sets of variables by minimizing the covariance between them (Fornell & Larcker, 1987).…”
Section: ) Comparing and Contrastingmentioning
confidence: 99%
“…PLS regression method [30], [31] is based on the linear transformation of a large number of descriptors to a new space based on a small number of orthogonal projection vectors. In other words, the projection vectors are mutually independent linear combinations of the original descriptors.…”
Section: A Video Characterizationmentioning
confidence: 99%