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Kernel Hebbian algorithm for iterative kernel principal component analysis

Research output: Working paper

Published

Standard

Kernel Hebbian algorithm for iterative kernel principal component analysis. / Kim, Kwang In; Franz, Matthias O.; Schölkopf, Bernhard.

Max Planck Institute for Biological Cybernetics, 2003. p. 1-13 (Technical Reports; No. 109).

Research output: Working paper

Harvard

Kim, KI, Franz, MO & Schölkopf, B 2003 'Kernel Hebbian algorithm for iterative kernel principal component analysis' Technical Reports, no. 109, Max Planck Institute for Biological Cybernetics, pp. 1-13.

APA

Kim, K. I., Franz, M. O., & Schölkopf, B. (2003). Kernel Hebbian algorithm for iterative kernel principal component analysis. (pp. 1-13). (Technical Reports; No. 109). Max Planck Institute for Biological Cybernetics.

Vancouver

Kim KI, Franz MO, Schölkopf B. Kernel Hebbian algorithm for iterative kernel principal component analysis. Max Planck Institute for Biological Cybernetics. 2003 Jun 1, p. 1-13. (Technical Reports; 109).

Author

Kim, Kwang In ; Franz, Matthias O. ; Schölkopf, Bernhard. / Kernel Hebbian algorithm for iterative kernel principal component analysis. Max Planck Institute for Biological Cybernetics, 2003. pp. 1-13 (Technical Reports; 109).

Bibtex

@techreport{989b078fea1c411082b187ceb92d7773,
title = "Kernel Hebbian algorithm for iterative kernel principal component analysis",
abstract = "A new method for performing a kernel principal component analysis is proposed. By kernelizing the generalized Hebbian algorithm, one can iteratively estimate the principal components in a reproducing kernel Hilbert space with only linear order memory complexity. The derivation of the method and preliminary applicationsin image hyperresolution are presented. In addition, we discuss the extension of the method to the online learning of kernel principal components.",
author = "Kim, {Kwang In} and Franz, {Matthias O.} and Bernhard Sch{\"o}lkopf",
year = "2003",
month = jun
day = "1",
language = "English",
series = "Technical Reports",
publisher = "Max Planck Institute for Biological Cybernetics",
number = "109",
pages = "1--13",
type = "WorkingPaper",
institution = "Max Planck Institute for Biological Cybernetics",

}

RIS

TY - UNPB

T1 - Kernel Hebbian algorithm for iterative kernel principal component analysis

AU - Kim, Kwang In

AU - Franz, Matthias O.

AU - Schölkopf, Bernhard

PY - 2003/6/1

Y1 - 2003/6/1

N2 - A new method for performing a kernel principal component analysis is proposed. By kernelizing the generalized Hebbian algorithm, one can iteratively estimate the principal components in a reproducing kernel Hilbert space with only linear order memory complexity. The derivation of the method and preliminary applicationsin image hyperresolution are presented. In addition, we discuss the extension of the method to the online learning of kernel principal components.

AB - A new method for performing a kernel principal component analysis is proposed. By kernelizing the generalized Hebbian algorithm, one can iteratively estimate the principal components in a reproducing kernel Hilbert space with only linear order memory complexity. The derivation of the method and preliminary applicationsin image hyperresolution are presented. In addition, we discuss the extension of the method to the online learning of kernel principal components.

M3 - Working paper

T3 - Technical Reports

SP - 1

EP - 13

BT - Kernel Hebbian algorithm for iterative kernel principal component analysis

PB - Max Planck Institute for Biological Cybernetics

ER -