Online Kernel Principal Component Analysis: A Reduced-Order Model

Kernel principal component analysis (kernel-PCA) is an elegant nonlinear extension of one of the most used data analysis and dimensionality reduction techniques, the principal component analysis. In this paper, we propose an online algorithm for kernel-PCA. To this end, we examine a kernel-based ver...

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Bibliographic Details
Published in:	IEEE transactions on pattern analysis and machine intelligence Vol. 34; no. 9; pp. 1814 - 1826
Main Author:	Honeine, P.
Format:	Journal Article
Language:	English
Published:	Los Alamitos, CA IEEE 01.09.2012 IEEE Computer Society The Institute of Electrical and Electronics Engineers, Inc. (IEEE) Institute of Electrical and Electronics Engineers
Subjects:	Algorithm design and analysis Algorithmics. Computability. Computer arithmetics Algorithms Applied sciences Artificial intelligence Computer Science Computer science; control theory; systems Data models Data processing. List processing. Character string processing Dictionaries Eigenvalues and eigenfunctions Engineering Sciences Exact sciences and technology Intelligence Kernel Kernels Machine Learning Memory organisation. Data processing Oja's rule On-line systems Online online algorithm Pattern analysis Pattern recognition. Digital image processing. Computational geometry Principal component analysis recursive algorithm reproducing kernel Signal and Image processing Software Studies Theoretical computing Training data Data analysis On line online algorithm Error bound Iterative method machine learning reproducing kernel Recursive algorithm Modeling Data reduction Kernel method Oja's rule Dimension reduction Upper bound Experimental result Efficiency Optical character recognition Reduced order systems Manuscript character Artificial intelligence Principal component analysis Algorithm design and analysis Dictionaries sparsity function approximation Training data recursive algorithm principal function approximation reduced order systems Oja rule Eigenvalues and eigenfunctions Kernel data analysis adaptive filtering synthetic data set online kernel principal component analysis kernel-based machines pre-image problem dimensionality reduction techniques classical kernel-PCA handwritten digit image non-stationarity reduced-order model iterative kernel-PCA linear principal axe extraction Data models Index Terms-Principal component analysis
ISSN:	0162-8828, 1939-3539, 2160-9292, 1939-3539
Online Access:	Get full text
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