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A serial extension of multiblock PLS
Author(s) -
Berglund Anders,
Wold Svante
Publication year - 1999
Publication title -
journal of chemometrics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.47
H-Index - 92
eISSN - 1099-128X
pISSN - 0886-9383
DOI - 10.1002/(sici)1099-128x(199905/08)13:3/4<461::aid-cem555>3.0.co;2-b
Subject(s) - block (permutation group theory) , extension (predicate logic) , computer science , linear model , interpretation (philosophy) , algorithm , artificial intelligence , mathematics , machine learning , geometry , programming language
A novel multiblock PLS algorithm called S‐PLS (serial PLS) is presented. S‐PLS models the separate predictor blocks serially, making it a supplement to hierarchical PLS. In the S‐PLS algorithm the predictor blocks are connected only via the response Y . The block models are calculated using the Y residuals from the previous block model. This allows for an independent interpretation of the separate block models. In each block model the classical PLS algorithm is used. The principles of S‐PLS are demonstrated on two chemical applications. In the first example, which is non‐linear, S‐PLS makes it possible to separate the linear and non‐linear parts in the model. The second example illustrates how a model with two predictor blocks can be analysed with S‐PLS. Copyright © 1999 John Wiley & Sons, Ltd.