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Partial Least Squares (PLS) methods have been heavily exploited to analyse the association between two blocs of data. These powerful approaches can be applied to data sets where the number of variables is greater than the number of…

Machine Learning · Statistics 2017-02-24 Pierre Lafaye de Micheaux , Benoit Liquet , Matthew Sutton

Partial Least Squares (PLS) refer to a class of dimension-reduction techniques aiming at the identification of two sets of components with maximal covariance, to model the relationship between two sets of observed variables…

Methodology · Statistics 2023-02-23 Lola Etievant , Vivian Viallon

The partial least squares (PLS) is a popular modeling technique commonly used in social sciences. The traditional PLS algorithm deals with variables measured on interval scales while data are often collected on ordinal scales: a…

Methodology · Statistics 2012-12-21 Gabriele Cantaluppi

Partial Least Square (PLS) is a dimension reduction method used to remove multicollinearities in a regression model. However contrary to Principal Components Analysis (PCA) the PLS components are also choosen to be optimal for predicting…

Statistics Theory · Mathematics 2014-05-26 Mélanie Blazère , Fabrice Gamboa , Jean-Michel Loubes

Relating a set of variables X to a response y is crucial in chemometrics. A quantitative prediction objective can be enriched by qualitative data interpretation, for instance by locating the most influential features. When high-dimensional…

Machine Learning · Statistics 2023-04-21 Louna Alsouki , Laurent Duval , Clément Marteau , Rami El Haddad , François Wahl

With massive high-dimensional data now commonplace in research and industry, there is a strong and growing demand for more scalable computational techniques for data analysis and knowledge discovery. Key to turning these data into knowledge…

Data Structures and Algorithms · Computer Science 2016-06-17 Yasuo Tabei , Hiroto Saigo , Yoshihiro Yamanishi , Simon J. Puglisi

High dimensional data reduction techniques are provided by using partial least squares within deep learning. Our framework provides a nonlinear extension of PLS together with a disciplined approach to feature selection and architecture…

Methodology · Statistics 2021-06-29 Nicholas Polson , Vadim Sokolov , Jianeng Xu

Partial least squares regression (PLSR) has been a popular technique to explore the linear relationship between two datasets. However, most of algorithm implementations of PLSR may only achieve a suboptimal solution through an optimization…

Computer Vision and Pattern Recognition · Computer Science 2016-09-22 Haoran Chen , Yanfeng Sun , Junbin Gao , Yongli Hu , Baocai Yin

We revisit the problem of fair representation learning by proposing Fair Partial Least Squares (PLS) components. PLS is widely used in statistics to efficiently reduce the dimension of the data by providing representation tailored for the…

Machine Learning · Computer Science 2025-02-25 Elena M. De-Diego , Adrián Perez-Suay , Paula Gordaliza , Jean-Michel Loubes

High-dimensional data common in genomics, proteomics, and chemometrics often contains complicated correlation structures. Recently, partial least squares (PLS) and Sparse PLS methods have gained attention in these areas as dimension…

Machine Learning · Statistics 2012-04-19 Genevera I. Allen , Christine Peterson , Marina Vannucci , Mirjana Maletic-Savatic

Partial least squares, as a dimension reduction method, has become increasingly important for its ability to deal with problems with a large number of variables. Since noisy variables may weaken the performance of the model, the sparse…

Methodology · Statistics 2020-06-08 Weijuan Liang , Shuangge Ma , Qingzhao Zhang , Tingyu Zhu

High-dimensional compositional data are commonplace in the modern omics sciences amongst others. Analysis of compositional data requires a proper choice of orthonormal coordinate representation as their relative nature is not compatible…

Partial least squares regression---or PLS---is a multivariate method in which models are estimated using either the SIMPLS or NIPALS algorithm. PLS regression has been extensively used in applied research because of its effectiveness in…

Partial Least Squares (PLS) is a widely used method for data integration, designed to extract latent components shared across paired high-dimensional datasets. Despite decades of practical success, a precise theoretical understanding of its…

Machine Learning · Statistics 2025-12-18 Victor Léger , Florent Chatelain

This paper addresses theoretical issues associated with probabilistic partial least squares (PLS) regression. As in the case of factor analysis, the probabilistic PLS regression with unique variance suffers from the issues of improper…

Methodology · Statistics 2025-12-08 Takashi Arai

Partial least squares (PLS) is a dimensionality reduction technique introduced in the field of chemometrics and successfully employed in many other areas. The PLS components are obtained by maximizing the covariance between linear…

Methodology · Statistics 2023-12-05 David del Val , José R. Berrendero , Alberto Suárez

Functional partial least squares (FPLS) is commonly used for fitting scalar-on-function regression models. For the sake of accuracy, FPLS demands that each realization of the functional predictor is recorded as densely as possible over the…

Methodology · Statistics 2020-07-14 Zhiyang Zhou , Richard A. Lockhart

High-dimensional spectral data -- routinely generated in dairy production -- are used to predict a range of traits in milk products. Partial least squares (PLS) regression is ubiquitously used for these prediction tasks. However, PLS…

The availability of multi-omics data has revolutionized the life sciences by creating avenues for integrated system-level approaches. Data integration links the information across datasets to better understand the underlying biological…

Methodology · Statistics 2022-09-01 Said el Bouhaddani , Hae-Won Uh , Geurt Jongbloed , Jeanine Houwing-Duistermaat

Partial least squares (PLS) is a simple factorisation method that works well with high dimensional problems in which the number of observations is limited given the number of independent variables. In this article, we show that PLS can…

Econometrics · Economics 2024-09-10 João B. Assunção , Pedro Afonso Fernandes
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