Information recovery from near infrared data

Robert Scott Anderssen, Frank Robert de Hoog, Ian J. Wesley

Abstract


In many practical situations, classical modelling protocols are either inappropriate or infeasible for the recovery of an estimate of some specific property of an object, such as the protein content of wheat, from available indirect (spectroscopic) measurements. In such situations, some form of calibration-and-prediction (machine learning) is a popular alternative. For a representative set of samples, inexpensive and rapidly available indirect (spectroscopic) encapsulations of the property are recorded for each sample along with an independent laboratory measurement of the value of the specified property. Because many more indirect measurement values are recorded for each sample than the number of samples tested, the resulting system is highly under-determined in the sense of performing the calibration step: the identification of a predictor which can be applied to the indirect measurements of a new sample to predict its value of the property. Various dimension reduction methodologies have been proposed for performing the calibration step, including principal component regression, partial least squares, independent component analysis and neural network analysis. Independently, because of the high accuracy with which near infrared spectra are recorded using computer controlled instrumentation, derivative spectroscopy techniques can be utilised to explore differences in the molecular structure of cereal grains. For the optimisation of the recovery of estimates of the property from the indirect measurements of new samples, two questions are explored in this article; one practical, the other theoretical: (i)~To what extent should preprocessing (such as fourth differentiation) be applied to the indirect measurements before the calibration step is performed? (ii)~Is there an algorithmic advantage in viewing partial least squares as an implementation of simultaneous minimisation?

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Keywords


derivative spectroscopy, calibration and prediction, information recovery, NIR (Near Infrared), partial least squares, SVD, PCR

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DOI: http://dx.doi.org/10.21914/anziamj.v52i0.3909



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