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2012
DOI: 10.1016/j.sab.2012.04.011
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Comparison of partial least squares and lasso regression techniques as applied to laser-induced breakdown spectroscopy of geological samples

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Cited by 107 publications
(78 citation statements)
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“…[18][19][20][21][22] They can be more robust to matrix effects because they use most of the available information. Multivariate methods are much more computationally intensive than the univariate method.…”
Section: High-level Processingmentioning
confidence: 99%
“…[18][19][20][21][22] They can be more robust to matrix effects because they use most of the available information. Multivariate methods are much more computationally intensive than the univariate method.…”
Section: High-level Processingmentioning
confidence: 99%
“…For the spectral area normalization, I is the ratio of the original intensity and I sum could be calculated by eqn (5); for position standardization, I was calculated by eqn (8); for the combination method, I was calculated by eqn (9). For Si, Fe and Cu, eqn (10) was used; for Mn and Mg, self-absorption could not be ignored, so eqn (11) was used.…”
Section: Resultsmentioning
confidence: 99%
“…1 Though LIBS has shown great potential in many different applications for its capacity in on-line, in situ analysis, [2][3][4][5][6][7][8] it is mostly used as a type of qualitative analysis or semiquantitative analysis, primarily because of its lack of stability in an ordinary measurement environment. In other words, poor measurement repeatability and reproducibility prevent LIBS from becoming a real super star like other established quantitative analysis techniques.…”
Section: Introductionmentioning
confidence: 99%
“…It has been applied to many fields of analysis, such as soil [55,65,66], steel [67][68][69], glass [50], rock [70], iron ore [63] and coal [71,72]. The rest of the analysis methods are PCR [50,73,74], LASSO [75,76], kNN [77], ANN [78][79][80][81], SVM [82,83] and so on. PLS has been implemented either to calculate the concentrations of a single element (PLS-1) or to simultaneously calculate the concentrations of more than one element (PLS-2).…”
Section: The Comparison Of Calibration Methodsmentioning
confidence: 99%
“…PLS has been implemented either to calculate the concentrations of a single element (PLS-1) or to simultaneously calculate the concentrations of more than one element (PLS-2). In addition to PLS, other linear (MLR [84,85], PCR [50,73] and LASSO [75][76][77]) and nonlinear regression methods (ANN [86,87]) have been applied to LIBS quantitative analysis. In order to discern the most effective models for interpreting chemical abundances from LIBS spectra of geological samples, Boucher et al [77] had studied nine kinds of linear and nonlinear regression methods.…”
Section: The Comparison Of Calibration Methodsmentioning
confidence: 99%