Electron and ion motion in oxide cathodes

Nergaard, L.S.

doi:10.1007/bfb0116509

Cited by 8 publications

(2 citation statements)

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“…The main advantage of the PARAFAC regression model compared with other models is that the matrices A, B and C are unique and directly interpretable. The method for a Tucker decomposed array is completely analogous, inserting the Tucker A, B or C into equation (3). The a-loadings of an unknown sample are calculated from the sample matrix (X), B, C and -G (and vice versa if B or C is to be used in the regression).…”

Section: Regression Rnodelsmentioning

confidence: 99%

“…Utilizing the three-way data stnicture, it is possible to model also the excitation slit width as seen in Table 1, where the fui1 cross-validated prediction results when using unfold PLS, PARAFAC MLR, and Tucker MLR on the three-way data structure from Experiment 1 are given. MLR means multiple linear regression, which is the method used in solving equation (3). If one wants orthogonal loadings as input to equation (3), the PARAFAC and Tucker decompositions can be made with orthogonal restrictions on the relevant ioadings.…”

Section: Regression Models For the Prediction Of Slit Widthsmentioning

confidence: 99%

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Spectral resolution and prediction of slit widths in fluorescence spectroscopy by two- and three-way methods

Nørgaard¹

1996

J. Chemometrics

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Modem spectrofluorometers have several instrumental settings to be adjusted and decided on before sample measurement, e.g. excitation and emission slit widths, emission scan velocity and spectral ranges to be recorded. The influences of these settings on the recorded spectra are cmcial, particularly when applying full fluorescence spectra in the analysis of a given problem. The effect on the fluorescence emission spectra when changing the slit widths is studied in detail by recording the emission spectra of an ovalene standard block at al1 possible excitation (3-15 nm) and emission (3-20 nm) slit width combinations. By the two-way curve resolution method altemating regression (AR) it is possible to resolve the emission spectra into three hidden spectra describing the come, medium coarse/fine and fine structure of the recorded spectra. By the three-way methods PARAFAC and Tucker it is possible to separate the effects of both the excitation and emission slit widths on the recorded spectra. An analogous analysis of a natural sugar sample results in a one factor PARAFAC solution, probably because of the large amount of different substances found in a table sugar sample resulting in rather featureless emission spectra not so susceptible to influence by the instrumental settings. Finally, it is demonstrated that two-way unfold PLS, PARWAC and Tucker regression models are able to predict the excitation and emission slit widths from the recorded emission spectra. The root mean square errors of prediction (RMSEP) are about 0.5 nm ( R~0 . 9 9 0 ) for the excitation slit and 0.3 nm (Rz0.999) for the emission slit. O 1996 by John

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Section: Regression Rnodelsmentioning

confidence: 99%

Section: Regression Models For the Prediction Of Slit Widthsmentioning

confidence: 99%