Some remarks on the functional relation between canonical correlation analysis and partial least squares

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F26441021%3A_____%2F16%3AN0000019" target="_blank" >RIV/26441021:_____/16:N0000019 - isvavai.cz</a>

Result on the web

<a href="http://www.tandfonline.com/doi/abs/10.1080/00949655.2015.1110821" target="_blank" >http://www.tandfonline.com/doi/abs/10.1080/00949655.2015.1110821</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1080/00949655.2015.1110821" target="_blank" >10.1080/00949655.2015.1110821</a>

Result language

angličtina

Original language name

Some remarks on the functional relation between canonical correlation analysis and partial least squares

Original language description

This paper deals with the functional relation between multivariate methods of canonical correlation analysis (CCA), partial least squares (PLS) and also their kernelized versions. Both methods are determined by the solution of the respective optimization problem, and result in algorithms using spectral or singular decomposition theories. The solution of the parameterized optimization problem, where the boundary points of a parameter give exactly the results of CCA (resp. PLS) method leads to the vector functions (paths) of eigenvalues and eigenvectors or singular values and singular vectors. Specifically, in this paper, the functional relation means the description of classes into which the given paths belong. It is shown that if input data are analytical (resp. smooth) functions of a parameter, then the vector functions are also analytical (resp. smooth). Those approaches are studied on three practical examples of European tourism data.

Czech name

—

Czech description

—

Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BB - Applied statistics, operational research

OECD FORD branch

—

Project

—

Continuities

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2016

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Journal of Statistical Computation and Simulation

ISSN

1563-5163

e-ISSN

—

Volume of the periodical

86

Issue of the periodical within the volume

12

Country of publishing house

GB - UNITED KINGDOM

Number of pages

13

Pages from-to

2379-2391

UT code for WoS article

—

EID of the result in the Scopus database

—