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PLS regression methods

- A. Höskuldsson
- Mathematics
- 1 June 1988

In this paper we develop the mathematical and statistical structure of PLS regression. We show the PLS regression algorithm and how it can be interpreted in model building. The basic mathematical… Expand

Prediction Methods in Science and Technology.: Vol 1. Basic theory

- A. Höskuldsson
- Computer Science
- 1996

Variable and subset selection in PLS regression

- A. Höskuldsson
- Mathematics
- 13 January 2001

The purpose of this paper is to present some useful methods for introductory analysis of variables and subsets in relation to PLS regression. We present here methods that are efficient in finding the… Expand

Quadratic PLS regression

- A. Höskuldsson
- Mathematics
- 1 November 1992

We treat here an extension of linear PLS regression to include regression on quadratic PLS components. The quadratic regression can be viewed as a natural extention of linear PLS regression to… Expand

A combined theory for PCA and PLS

- A. Höskuldsson
- Mathematics
- 1 March 1995

We present here an algorithmic approach to modelling data that includes principal component analysis (PCA) and partial least squares (PLS). In fact, the numerical algorithm presented can carry out… Expand

Analysis of latent structures in linear models

- A. Höskuldsson
- Mathematics
- 1 December 2003

In chemometrics the emphasis is on latent structure models. The latent structure is the part of the data that the modeling task is based upon. This paper addresses some fundamental issues that arise… Expand

COVPROC method: strategy in modeling dynamic systems

- S. Reinikainen, A. Höskuldsson
- Computer Science
- 1 February 2003

TLDR

H‐methods in applied sciences

- A. Höskuldsson
- Mathematics
- 1 March 2008

The author has developed a framework for mathematical modelling within applied sciences. It is characteristic for data from ‘nature and industry’ that they have reduced rank for inference. It means… Expand

Multi‐block methods in multivariate process control

In chemometric studies all predictor variables are usually collected in one data matrix X. This matrix is then analyzed by PLS regression or other methods. When data from several different… Expand

The H-principle in modelling with applications to chemometrics

- A. Höskuldsson
- Mathematics
- 1 April 1992

Abstract Hoskuldsson, A., 1992. The H-principle in modelling with applications to chemometrics. Chemometrics and Intelligent Laboratory Systems, 14: 139–153. Heisenberg formulated certain rules and… Expand

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