The Sequential and Orthogonalized PLS Regression for Multiblock Regression: Theory, Examples, and Extensions

Alessandra Biancolillo*, Tormod Næs

*Corresponding author for this work
33 Citations (Scopus)

Abstract

In 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. SO-PLS is a multiblock regression method in which the information is extracted sequentially from the predictor blocks and there is no limitation in the number of predictors that can be handled. Moreover, the significance of the addition of any predictor block can be tested. An extension of the method for handling multiway arrays is also described and illustrated. SO-PLS and its extensions are versatile methods for both regression and classification; in both cases, they are particularly suitable from an interpretation point of view.

Original languageEnglish
Title of host publicationData Fusion Methodology and Applications
EditorsMarina Cocchi
Number of pages21
PublisherElsevier
Publication date2019
Pages157-177
Chapter6
ISBN (Print)978-0-444-63984-4
DOIs
Publication statusPublished - 2019
SeriesData Handling in Science and Technology
Volume31
ISSN0922-3487

Keywords

  • Classification
  • Multiblock regression
  • Multiway
  • SO-N-PLS
  • SO-N-PLS-LDA
  • SO-PLS
  • SO-PLS-LDA
  • Variable selection

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