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 ...

Some Lyme disease patients report debilitating chronic symptoms of pain, fatigue, and cognitive deficits despite recommended courses of antibiotic treatment. The mechanisms responsible for these symptoms, collectively referred to as post-Lyme disease syndrome (PLS) or chronic Lyme disease, remain unclear. We investigated the presence of immune system abnormalities in PLS by assessing the levels...

Multivariate llibration methods have been applied extensively to the quantitative analysis of Fourier t&psform infrared (FT-IR) spectral data. Partial least squares (PLS) methods have become the most widely used multivariate'method for quantitative spectroscopic analyses. Most often these methods are limited by model error or the accuracy or precision of the reference methods. However, in some ...

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...

RATIONALE Pleomorphic liposarcoma (PLS) is a rare and aggressive malignant tumor, and both radiation and conventional cytotoxic chemotherapy remain controversial for metastatic or unresectable disease. PATIENT CONCERNS We presented an 81-year-old Chinese woman with advanced PLS who received apatinib after failure chemotherapy. DIAGNOSES The patient was diagnosed as having PLS by biopsy. I...

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...

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...

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 ...

Partial least squares (PLS) is one of the most common regression algorithms in chemistry, relating input–output samples (x i , y i) by a linear multivariate model. In this paper we analyze the PLS algorithm under a specific probabilistic model for the relation between x and y. Following Beer's law, we assume a linear mixture model in which each data sample (x, y) is a random realization from a ...