Practical Three-Way Calibration 2014
DOI: 10.1016/b978-0-12-410408-2.00009-0
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Partial Least-Squares with Residual Bilinearization

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Cited by 7 publications
(5 citation statements)
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“…However, since in the current study the temporal evolution for different parameters is not identical, this algorithm is not applicable, due to a lack of trilinearity present in these datasets [ 34 ]. On the other hand, algorithms based on partial least square (PLS) are generally suitable for second-order calibration data analysis, but the results obtained as loadings and scores do not provide an approximation to the pure constituent profiles [ 46 ]. Thus, these algorithms are not applicable when spectral information is desired.…”
Section: Resultsmentioning
confidence: 99%
“…However, since in the current study the temporal evolution for different parameters is not identical, this algorithm is not applicable, due to a lack of trilinearity present in these datasets [ 34 ]. On the other hand, algorithms based on partial least square (PLS) are generally suitable for second-order calibration data analysis, but the results obtained as loadings and scores do not provide an approximation to the pure constituent profiles [ 46 ]. Thus, these algorithms are not applicable when spectral information is desired.…”
Section: Resultsmentioning
confidence: 99%
“…In this work, column‐wise augmentation of EEM was considered (see Figure 1). For further details, please refer to the specific literature 29 . In a column‐wise augmented matrix decomposition, S represents the profiles of N species in the non‐augmented mode, which is common to all samples, whereas, C aug comprises the profiles of N species in the augmented mode, in each of the submatrices of D aug .…”
Section: Methodsmentioning
confidence: 99%
“…Finally, the third category of multi-way chemometric approaches is constituted by latent variable-based models, essentially, the regression variants U-PLS and N-PLS. The PLS model was originally conceived for first-order calibration, i.e., senso strictum is only able to exploit the first-order advantage [53]. However, the PLS philosophy was extended to higher-order calibration, where the second-order advantage can be achieved by coupling the model to the RML methodology [54].…”
Section: Lc Multi-way Data Analysis: Chemometric Models and Algorithmsmentioning
confidence: 99%
“…In U-PLS/RML, during the calibration step, a classical PLS model is built with a set of unfolded multi-way data, disposed in a matrix X PLS , which is then subjected to the following decomposition [53]:…”
Section: Lc Multi-way Data Analysis: Chemometric Models and Algorithmsmentioning
confidence: 99%
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