Title
Detecting influential observations in Kernel PCA
Abstract
Kernel Principal Component Analysis extends linear PCA from a Euclidean space to any reproducing kernel Hilbert space. Robustness issues for Kernel PCA are studied. The sensitivity of Kernel PCA to individual observations is characterized by calculating the influence function. A robust Kernel PCA method is proposed by incorporating kernels in the Spherical PCA algorithm. Using the scores from Spherical Kernel PCA, a graphical diagnostic is proposed to detect points that are influential for ordinary Kernel PCA.
Year
DOI
Venue
2010
10.1016/j.csda.2009.08.018
Computational Statistics & Data Analysis
Keywords
Field
DocType
influential observation,kernel principal,spherical pca algorithm,kernel pca,ordinary kernel pca,component analysis,reproducing kernel hilbert space,robust kernel pca method,linear pca,spherical kernel pca,euclidean space,kernel principal component analysis
Radial basis function kernel,Principal component regression,Kernel embedding of distributions,Kernel Fisher discriminant analysis,Kernel principal component analysis,Polynomial kernel,Statistics,Variable kernel density estimation,Mathematics,Kernel (statistics)
Journal
Volume
Issue
ISSN
54
12
Computational Statistics and Data Analysis
Citations 
PageRank 
References 
9
0.73
15
Authors
3
Name
Order
Citations
PageRank
Michiel Debruyne1523.28
Mia Hubert243348.10
Johan Van Horebeek3203.38