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From Multiblock Partial Least Squares to Multiblock Redundancy Analysis. A Continuum Approach
Volume 22, Issue 1 (2011), pp. 11–26
Stéphanie Bougeard   El Mostafa Qannari   Coralie Lupo   Mohamed Hanafi  

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https://doi.org/10.15388/Informatica.2011.311
Pub. online: 1 January 2011      Type: Research Article     

Received
1 October 2009
Accepted
1 October 2010
Published
1 January 2011

Abstract

For the purpose of exploring and modelling the relationships between a dataset and several datasets, multiblock Partial Least Squares is a widely-used regression technique. It is designed as an extension of PLS which aims at linking two datasets. In the same vein, we propose an extension of Redundancy Analysis to the multiblock setting. We show that PLS and multiblock Redundancy Analysis aim at maximizing the same criterion but the constraints are different. From the solutions of both these approaches, it turns out that they are the two end points of a continuum approach that we propose to investigate.

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Keywords
multiblock PLS multiblock redundancy analysis continuum approach Ridge-type regularization multicolinearity

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INFORMATICA

  • Online ISSN: 1822-8844
  • Print ISSN: 0868-4952
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