The partial least squares algorithm: a truncated Cayley-Hamilton series approximation used to solve the regression problem

In this paper it is shown that the PLS algorithm for univariate data is equivalent to using a truncated Cayley-Hamilton polynomial expression of degree 1 less than a less than r for the matrix inverse inv(X'X) in R^(rxr) used to compute the LS solution. Furthermore, the a coefficients in this p...

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Bibliographic Details
Main Author: David Di Ruscio
Format: Article
Language:English
Published: Norwegian Society of Automatic Control 1998-07-01
Series:Modeling, Identification and Control
Online Access:http://www.mic-journal.no/PDF/1998/MIC-1998-3-1.pdf