Premium
Quadratic PLS1 regression revisited
Author(s) -
Verdun Stéphane,
Hanafi Mohamed,
Cariou Véronique,
Qannari El Mostafa
Publication year - 2012
Publication title -
journal of chemometrics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.47
H-Index - 92
eISSN - 1099-128X
pISSN - 0886-9383
DOI - 10.1002/cem.2447
Subject(s) - quadratic equation , partial least squares regression , nonlinear regression , regression , mathematics , non linear least squares , basis (linear algebra) , regression analysis , linear regression , nonlinear system , polynomial regression , algorithm , statistics , computer science , mathematical optimization , explained sum of squares , physics , geometry , quantum mechanics
Within the framework of nonlinear partial least squares (PLS), the quadratic PLS regression approach, involving both linear and quadratic terms in the criterion, is discussed. A new algorithm for the determination of the components is proposed, and its advantages over the original algorithm are outlined. The approach of analysis is illustrated on the basis of simulated and real data. Copyright © 2012 John Wiley & Sons, Ltd.