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Arbitrary divergence speed of the least-squares method in infinite-dimensional inverse ill-posed problems
(IOP Publishing, 2006-04)
A standard engineering procedure for approximating the solutions of an infinite-dimensional inverse problem of the form Ax = y, where A is a given compact linear operator on a Hilbert space X and y is the given data, is ...
Envelopes: A new chapter in partial least squares regression
(John Wiley & Sons Ltd, 2020-10)
Partial least squares (PLS) regression has been a very popular method for prediction. The method can in a natural way be connected to a statistical model, which now has been extended and further developed in terms of an ...
A novel second-order standard addition analytical method based on data processing with multidimensional partial least-squares and residual bilinearization
(Elsevier Science, 2009-10)
In the presence of analyte-background interactions and a significant background signal, both second-order multivariate calibration and standard addition are required for successful analyte quantitation achieving the ...
Second-order analyte quantitation under Identical profiles in one data dimension. A dependency-adapted partial least-squares/residual bilinearization method
(American Chemical Society, 2010-06)
Analyte quantitation can be achieved from second-order data in the presence of uncalibrated components using multivariate calibration methods such as partial leastsquares with residual bilinearization. However, the latter ...
Evaluation of complex spectral-pH three-way arrays by modified bilinear least-squares: Determination of four different dyes in interfering systems
(Royal Society of Chemistry, 2005-09)
This article reports on the first application of a modified version of the bilinear least-squares model to absorbance-pH second-order data recorded for complex samples. The latter are composed of fruit drink powders, where ...
Quantum chemical computation-based strategy for alternating least squares initialization in multivariate curve resolution analysis of spectral-pH data
(Elsevier Science, 2018-07)
The main motivation of this work is to provide initial estimates for the initialization of the iterative optimization within the multivariate curve resolution - alternating least squares (MCR-ALS) algorithm for the ...
Fast spectrophotometric determination of fluoride in ground waters by flow injection using partial least-squares calibration
(Elsevier Science, 2004-06)
The presence of sulphate constitutes a serious interference in the usual zirconium lake-based spectrophotometric method for the determination of fluoride in water. In this report, full spectral data have been recorded for ...
A new and efficient variable selection algorithm based on ant colony optimization. Applications to near infrared spectroscopy/partial least-squares analysis
(Elsevier Science, 2011-08)
A new variable selection algorithm is described, based on ant colony optimization (ACO). The algorithm aim is to choose, from a large number of available spectral wavelengths, those relevant to the estimation of analyte ...
Second order advantage in the determination of amaranth, sunset yellow FCF and tartrazine by UV-vis and multivariate curve resolution-alternating least squares
(Elsevier Science, 2009-11)
A direct spectrophotometric method for the determination of three artificial colors - amaranth, sunset yellow FCF and tartrazine - in beverages samples is proposed. The spectra were recorded between 359 and 600 nm. The ...
Near infrared spectroscopy and multivariate curve resolution-alternating least squares incorporating 13C-NMR information for monitoring epoxy resins reactions
(John Wiley & Sons Ltd, 2007-09-19)
This paper describes how data from two instrumental techniques - near infrared spectroscopy (NIR) and 13C nuclear magnetic resonance ( 13C-NMR) - are combined by means of multivariate curve resolution-alternating least ...