Partial least-squares: Theoretical issues and engineering applications in signal processing
Frederic M. Ham,Ivica Kostanic +1 more
TLDR
It is shown that PLS can yield physical insight into the system from which empirical data has been collected and when there exists a non-linear cause-and-effect relationship between the independent and dependent variables, the PLS calibration model can yield prediction errors that are much less than those for CLS.Abstract:
In this paper we present partial least-squares (PLS), which is a statistical modeling method used extensively in
analytical chemistry for quantitatively analyzing spectroscopic data. Comparisons are made between classical
least-squares (CLS) and PLS to show how PLS can be used in certain engineering signal processing applications.
Moreover, it is shown that in certain situations when there exists a linear relationship between the independent
and dependent variables, PLS can yield better predictive performance than CLS when it is not desirable to use
all of the empirical data to develop a calibration model used for prediction. Specifically, because PLS is a factor
analysis method, optimal selection of the number of PLS factors can result in a calibration model whose
predictive performance is considerably better than CLS. That is, factor analysis (rank reduction) allows only those features of the data that are associated with information of interest to be retained for development of the calibration model, and the remaining data associated with noise are discarded. It is shown that PLS can yield physical insight into the system from which empirical data has been collected. Also, when there exists a non-linear cause-and-effect relationship between the independent and dependent variables, the PLS calibration model can yield prediction errors that are much less than those for CLS. Three PLS application examples are given and the results are compared to CLS. In one example, a method is presented using PLS for parametric system identification. Using PLS for system identification allows simultaneous estimation of the system dimension and the system parameter vector associated with a minimal realization of the system.read more
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A robust neural network classifier for infrasound events using multiple array data
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Robust partial least-squares regression: a modular neural network approach
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An infrasonic event neural network classifier
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TL;DR: This paper presents results for a bank of radial basis function (RBF) neural networks, to discriminate between six different man-made events, and shows the classifier accuracy achieved is 96%.
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