Envelopes and partial least squares regression ∗
نویسنده
چکیده
4 We build connections between envelopes, a recently proposed context for efficient estima5 tion in multivariate statistics, and multivariate partial least squares (PLS) regression. In partic6 ular, we establish an envelope as the nucleus of both univariate and multivariate PLS, which 7 opens the door to pursuing the same goals as PLS but using different envelope estimators. It 8 is argued that a likelihood-based envelope estimator is less sensitive to the number of PLS 9 components selected and that it outperforms PLS in prediction and estimation. 10
منابع مشابه
Determination of Protein and Moisture in Fishmeal by Near-Infrared Reflectance Spectroscopy and Multivariate Regression Based on Partial Least Squares
The potential of Near Infrared Reflectance Spectroscopy (NIRS) as a fast method to predict the Crude Protein (CP) and Moisture (M) content in fishmeal by scanning spectra between 1000 and 2500 nm using multivariate regression technique based on Partial Least Squares (PLS) was evaluated. The coefficient of determination in calibration (R2C) and Standard Error of Calibra...
متن کاملScaled Predictor Envelopes and Partial Least-Squares Regression
Partial least squares (PLS) is a widely used method for prediction in applied statistics, especially in chemometrics applications. However, PLS is not invariant or equivariant under scale transformations of the predictors, which tends to limit its scope to regressions in which the predictors are measured in the same or similar units. Cook et al. (2013) built a connect between nascent envelope m...
متن کاملSimultaneous envelopes for multivariate linear
5 We introduce envelopes for simultaneously reducing the predictors and the re6 sponses in multivariate linear regression, so the regression then depends only on 7 estimated linear combinations of X and Y. We use a likelihood-based objective 8 function for estimating envelopes and then propose algorithms for estimation of a 9 simultaneous envelope as well as for basic Grassmann manifold optimiz...
متن کاملSpectrophotometric Simultaneous Kinetic Determination of Iodide and Iodate Using Partial Least-Squares Calibration Method in a Single Kinetic Run
A rapid, sensitive and versatile kinetic method is presented for the simultaneous spectrophotometric determination of iodide and iodate by partial least-squares regression (PLS) using original and derivate data named as absorbance and rate data. The method is based on the catalytic effect of the cited anions on the reaction rate between Ce(IV) and As(III) in 2 mol l?1 sulfuric acid medium. The ...
متن کاملDetermination of 137Ba Isotope Abundances in Water Samples by Inductively Coupled Plasma-optical Emission Spectrometry Combined with Least-squares Support Vector Machine Regression
A simple and rapid method for the determination of 137Ba isotope abundances in water samples by inductively coupled plasma-optical emission spectrometry (ICP-OES) coupled with least-squares support vector machine regression (LS-SVM) is reported. By evaluation of emission lines of barium, it was found that the emission line at 493.408 nm provides the best results for the determination...
متن کامل