Independent component analysis: A statistical perspective

K Nordhausen, H Oja - Wiley Interdisciplinary Reviews …, 2018 - Wiley Online Library
Independent component analysis (ICA) is a data analysis tool that can be seen as a
refinement of principal component analysis or factor analysis. ICA recovers the structures in …

[图书][B] Principal component analysis for special types of data

IT Jolliffe - 2002 - Springer
The viewpoint taken in much of this text is that PCA is mainly a descriptive tool with no need
for rigorous distributional or model assumptions. This implies that it can be used on a wide …

Invariant co-ordinate selection

DE Tyler, F Critchley, L Dümbgen… - Journal of the Royal …, 2009 - academic.oup.com
A general method for exploring multivariate data by comparing different estimates of
multivariate scatter is presented. The method is based on the eigenvalue–eigenvector …

A comparison of multivariate outlier detection methods for clinical laboratory safety data

KI Penny, IT Jolliffe - Journal of the Royal Statistical Society …, 2001 - Wiley Online Library
During a clinical trial of a new treatment, a large number of variables are measured to
monitor the safety of the treatment. It is important to detect outlying observations which may …

Goodness of fit of biplots and correspondence analysis

KR Gabriel - Biometrika, 2002 - academic.oup.com
The present paper examines proportional goodness of fit to variables recorded on
individuals, the variances and covariances of the variables, and the form and distances …

Providing location security in vehicular ad hoc networks

G Yan, S Olariu, MC Weigle - IEEE Wireless Communications, 2009 - ieeexplore.ieee.org
It is fair to say that most, if not all, VANET applications rely on accurate location information. It
is therefore imperative to provide mechanisms that ensure the integrity, availability, and …

An overview of properties and extensions of FOBI

K Nordhausen, J Virta - Knowledge-Based Systems, 2019 - Elsevier
Abstract Recently, Spurek, Tabor, Struksi and Smieja (2018) suggested an independent
component analysis method that is obtained via a generalized eigenvalue decomposition …

[HTML][HTML] On the usage of joint diagonalization in multivariate statistics

K Nordhausen, A Ruiz-Gazen - Journal of Multivariate Analysis, 2022 - Elsevier
Scatter matrices generalize the covariance matrix and are useful in many multivariate data
analysis methods, including well-known principal component analysis (PCA), which is …

Spatio-temporal multiway data decomposition using principal tensor analysis on k-modes: The R package PTAk

DG Leibovici - Journal of Statistical Software, 2010 - jstatsoft.org
The purpose of this paper is to describe the R package {PTAk and how the spatio-temporal
context can be taken into account in the analyses. Essentially PTAk () is a multiway …

Le biplot-outil d'exploration de données multidimensionnelles

KR Gabriel - Journal de la société française de statistique, 2002 - numdam.org
Le biplot est un outil graphique pour visualiser des données arrangées en forme de matrice
(Gabriel, 1971, 1982; Gower et Hand, 1996). Les graphiques ont des usages divers en …