Citation: ter Braak, C. J. F. (1995). Non-linear methods for multivariate statistical calibration and their use in palaeoecology: a comparison of inverse (k-nearest neighbours, partial least squares and weighted averaging partial least squares) and classical approaches. Abstract Current environmental problems, such as acid rain and global warming, have greatly increased interest in fossil speci...

In this paper, we discuss new formulations of both redundancy analysis (RA) and partial least squares regression (PLS) which clearly show the connection between these two methods. These new formulations also show that RA and PLS regression are the two end points of a continuum approach that we propose to investigate. Moreover, it enjoys very interesting properties which highlight the rational o...

There are many chemometric applications, such as spectroscopy, where the objective is to explain a scalar response from a functional variable (the spectrum) whose observations are functions of wavelengths rather than vectors. In this paper, PLS regression is considered for estimating the linear model when the predictor is a functional random variable. Due to the infinite dimension of the space ...

This paper presents the results of a laboratory experiment designed to investigate whether the option of a Prize Linked Savings (PLS) product alters the likelihood that subjects choose to delay payment. By comparing PLS and standard savings products in a controlled way, we find strong evidence that a PLS payment option leads to greater rates of payment deferral than does a straightforward inter...

We are writing this editorial because it appears to us that some researchers in the Information Systems community view partial least squares modeling (PLS; also referred to as path analysis with composites or soft modeling) as some type of magical silver bullet. These researchers are less critical about the use of PLS than they should be. In spite of cautiously proposed rules of thumb available...

The chemometrics version of PLS was developed around 25 years ago to cope with and utilize the rapidly increasing volumes of data produced in chemical laboratories. Since then, the first simple two-block PLS has been extended to deal with non-linear relationships, drift in processes (adaptive PLS), dynamics, and with the situation with very many variables (hierarchical models). Starting from a ...

In this paper, a three-dimensional (3-D) integral imaging (II) system to improve the viewing angle by using the multiple illuminations is proposed. In this system, three collimated illuminations that are directed to three different angles in order to get widen propagation angle of point light source (PLS). Among three illuminations two slanted illuminations increase the propagation angle of PLS...

Plasmin (PLS) and urokinase-type plasminogen activator (UPA) are ubiquitous proteases that regulate the extracellular environment. Although they are secreted in inactive forms, they can activate each other through proteolytic cleavage. This mutual interplay creates the potential for complex dynamics, which we investigated using mathematical modeling and in vitro experiments. We constructed ordi...

Partial Least Squares (PLS) methods are particularly suited to the analysis of relationships between measures of brain activity and of behavior or experimental design. In neuroimaging, PLS refers to two related methods: (1) symmetric PLS or Partial Least Squares Correlation (PLSC), and (2) asymmetric PLS or Partial Least Squares Regression (PLSR). The most popular (by far) version of PLS for ne...

In this paper we propose a new approach to study the properties of the Partial Least Squares (PLS) estimator. This approach relies on the link between PLS and discrete orthogonal polynomials. Indeed many important PLS objects can be expressed in terms of some specific discrete orthogonal polynomials, called the residual polynomials. Based on the explicit analytical expression we have stated for...