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MIR
2010
ACM
179views Multimedia» more  MIR 2010»
13 years 6 months ago
Speculation on the generality of the backward stepwise view of PCA
A novel backwards viewpoint of Principal Component Analysis is proposed. In a wide variety of cases, that fall into the area of Object Oriented Data Analysis, this viewpoint is se...
J. S. Marron, Sungkyu Jung, Ian L. Dryden
IDEAL
2004
Springer
14 years 1 months ago
Dimensionality Reduction with Image Data
A common objective in image analysis is dimensionality reduction. The most common often used data-exploratory technique with this objective is principal component analysis. We pro...
Mónica Benito, Daniel Peña
JMLR
2010
198views more  JMLR 2010»
13 years 6 months ago
On Learning with Integral Operators
A large number of learning algorithms, for example, spectral clustering, kernel Principal Components Analysis and many manifold methods are based on estimating eigenvalues and eig...
Lorenzo Rosasco, Mikhail Belkin, Ernesto De Vito
NECO
1998
151views more  NECO 1998»
13 years 7 months ago
Nonlinear Component Analysis as a Kernel Eigenvalue Problem
We describe a new method for performing a nonlinear form of Principal Component Analysis. By the use of integral operator kernel functions, we can e ciently compute principal comp...
Bernhard Schölkopf, Alex J. Smola, Klaus-Robe...
NIPS
2000
13 years 9 months ago
Automatic Choice of Dimensionality for PCA
A central issue in principal component analysis (PCA) is choosing the number of principal components to be retained. By interpreting PCA as density estimation, this paper shows ho...
Thomas P. Minka