2003
DOI: 10.1002/cem.811
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A framework for sequential multiblock component methods

Abstract: Multiblock or multiset methods are starting to be used in chemistry and biology to study complex data sets. In chemometrics, sequential multiblock methods are popular; that is, methods that calculate one component at a time and use deflation for finding the next component. In this paper a framework is provided for sequential multiblock methods, including hierarchical PCA (HPCA; two versions), consensus PCA (CPCA; two versions) and generalized PCA (GPCA). Properties of the methods are derived and characteristic… Show more

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Cited by 194 publications
(145 citation statements)
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“…Unsupervised multi-block methods include various extensions of PCA, such as SUM PCA (SMILDE et al, 2003), consensus PCA (WOLD et al, 1996), and hierarchical PCA . Corresponding methods perform data integration in two steps approach providing (1) scores and loadings for each block, and (2) consensus information derived from combination of all blocks.…”
Section: Multi-block Analysis or Data Fusionmentioning
confidence: 99%
See 1 more Smart Citation
“…Unsupervised multi-block methods include various extensions of PCA, such as SUM PCA (SMILDE et al, 2003), consensus PCA (WOLD et al, 1996), and hierarchical PCA . Corresponding methods perform data integration in two steps approach providing (1) scores and loadings for each block, and (2) consensus information derived from combination of all blocks.…”
Section: Multi-block Analysis or Data Fusionmentioning
confidence: 99%
“…The fi rst issue to consider is whether the primary interest is to study the variation between the blocks or the variation within each block of data is also of interest. Another point to consider is fairness, that is, whether each block contributes equally (SMILDE et al, 2003).…”
Section: Multi-block Analysis or Data Fusionmentioning
confidence: 99%
“…In practice, the {˛ k } k, coefficients are initialized by the compromise coefficients obtained with L STATIS methods computed on the L multiblocks separately. Then, deduced from Equations (9) and (12), the computation of the global compromise (W c D) is a diagonalization.…”
Section: Algorithmmentioning
confidence: 99%
“…These methods have been investigated by several authors [6][7][8] which show that (1) CPCA is the PCA of the supermatrix which contains all blocks and (2) HPCA appears as a method which have objectives difficult to understand. In addition the algorithm of HPCA presents some computational weakness.…”
Section: Introductionmentioning
confidence: 99%