Search

Your search keyword '"Weilu Lin"' showing total 2 results
Start Over Author "Weilu Lin" Publisher wiley
2 results on '"Weilu Lin"'

2. On estimation of multivariate prediction regions in partial least squares regression

Author

Elaine Martin, Weilu Lin, Siliang Zhang, and Zhuang Yingping

Subjects
Estimation, Multivariate statistics, Computational complexity theory, Applied Mathematics, Prediction interval, Analytical Chemistry, symbols.namesake, Linearization, Partial least squares regression, Statistics, Jacobian matrix and determinant, symbols, Applied mathematics, Coefficient matrix, Mathematics
Abstract

The estimation of the prediction region of partial least squares (PLS) is necessary in many engineering applications. However, research in this area focuses on the estimation of prediction intervals only. In this work, a new recursive formulation of PLS is proposed to facilitate the calculation of the Jacobian matrix of the estimated coefficient matrix. Furthermore, the computational complexity analysis indicates that the proposed algorithm is O(m2N + mpN + mpN2 + mN3 + mpN4) per number of component. The prediction region of the multivariate PLS is obtained through local linearization. The new formulation provides one way to obtain the prediction region of the multivariate PLS. Simulation and near-infrared spectra of corn case studies indicate the utility of the proposed method. Copyright © 2013 John Wiley & Sons, Ltd.

Published
2013
Full Text
View/download PDF

Catalog

Books, media, physical & digital resources
See catalog results