2008
DOI: 10.1016/s1574-101x(08)00615-7
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Chapter Fiveteen Identification, Resolution and Apportionment of Contamination Sources

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Cited by 10 publications
(10 citation statements)
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“…where D is the original data array, with I rows (samples) and J columns (compounds);U is the matrix of scores of dimensions I × N, where N is the reduced number of components; V T is the matrix of loadings with dimensions N × J; and E is the matrix of residuals not modeled by the N components. The MCR-ALS method decomposes the data matrix using an alternating least squares algorithm under non-negativity constraint (Tauler et al 2006(Tauler et al , 2009.…”
Section: Discussionmentioning
confidence: 99%
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“…where D is the original data array, with I rows (samples) and J columns (compounds);U is the matrix of scores of dimensions I × N, where N is the reduced number of components; V T is the matrix of loadings with dimensions N × J; and E is the matrix of residuals not modeled by the N components. The MCR-ALS method decomposes the data matrix using an alternating least squares algorithm under non-negativity constraint (Tauler et al 2006(Tauler et al , 2009.…”
Section: Discussionmentioning
confidence: 99%
“…This result underlines one of the limitations of the applied source apportionment method in a database where the organic tracer compound concentrations show strong collinearities. In the MCR-ALS method that was used here, only the soft constraint of non-negativity was applied and unique component solutions are not guaranteed (Tauler et al 2006(Tauler et al , 2009.…”
Section: Discussionmentioning
confidence: 99%
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“…In this approach, matrix factorisation is performed under orthogonal constraints for both g and f. Furthermore, contributions of variables are also normalised and forced to be in the direction of explaining maximum variance [5]. Under such constraints, FA provides unique solutions, and the interpretation of the variance is straightforward because contributions of the variables and sources are orthogonal.…”
Section: Factor Analysismentioning
confidence: 99%
“…Receptor models provide a useful means of identifying sources and quantitatively apportioning concentrations to their sources, even when the sources are not reasonably defined. The fundamental principle of receptor modelling is that mass conservation can be assumed, and a mass balance analysis can be used to identify and apportion sources [5]. The basic assumption of these methods is that each of the parameters or chemical concentrations measured in a particular sample is primarily affected by different contributions from independent sources.…”
Section: Introductionmentioning
confidence: 99%