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Computational Statistics & Data Analysis
Volume 48, Issue 1, 1 January 2005, Pages 125-138
Partial Least Squares
 
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doi:10.1016/j.csda.2003.10.006    How to Cite or Link Using DOI (Opens New Window)
Copyright © 2003 Elsevier B.V. All rights reserved.

DPLS and PPLS: two PLS algorithms for large data sets

Ruy L. MilidiúE-mail The Corresponding Author and Raúl P. RenteríaCorresponding Author Contact Information, E-mail The Corresponding Author

Departamento de Informática, Pontifícia Universidade Católica do Rio de Janeiro, Rua Marquês de São Vicente 225, Gávea, Rio de Janeiro, Brazil

Received 13 October 2003; 
Revised 13 October 2003. 
Available online 18 November 2003.

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Abstract

Two enhancements to the PLS regression algorithm are presented. The first, direct PLS (DPLS), offers a direct approximate formulation for the calculation of the required eigenvectors when dealing with more than one dependent variable. The second enhancement is parallel PLS (PPLS), a parallel version of the PLS algorithm restricted to the case of only one dependent variable for the regression model. In the experiments, DPLS shows a 40% faster running time, while the PPLS produces a speedup of 3 for the first four machines in a computer cluster architecture.

Author Keywords: PLS; Parallelism; DPLS; PPLS; NIPALS; Large data set

Article Outline

1. Introduction
2. DPLS
2.1. Modeling
2.2. The algorithm
2.3. Adaptive modeling
2.4. Running time analysis
2.5. Experimental results
2.5.1. Setup
2.5.2. Results
3. PPLS
3.1. Modeling
3.2. Performance analysis
4. Conclusions
References








Computational Statistics & Data Analysis
Volume 48, Issue 1, 1 January 2005, Pages 125-138
Partial Least Squares
 
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