Presentation 2012-01-27
Adaptive Algorithms for Kernel Principal Components Tracking
Toshihisa TANAKA,
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Abstract(in English) Adaptive online algorithms for simultaneously extracting nonlinear eigenvectors of kernel principal component analysis (KPCA) are developed. KPCA needs all the observed samples to represent basis functions, and the same scale of eigenvalue problem as the number of samples should be solved. This paper reformulates KPCA and deduces an expression in the Euclidean space, where an algorithm for tracking generalized eigenvectors is applicable. The developed algorithm is least mean squares (LMS)-type and recursive least squares (RLS)-type. Numerical example is then illustrated to support the analysis.
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Paper # SIP2011-101,RCS2011-290
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Committee RCS
Conference Date 2012/1/19(1days)
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Language JPN
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Title (in English) Adaptive Algorithms for Kernel Principal Components Tracking
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1st Author's Name Toshihisa TANAKA
1st Author's Affiliation Department of Electrical and Electronic Engineering Tokyo University of Agriculture and Technology()
Date 2012-01-27
Paper # SIP2011-101,RCS2011-290
Volume (vol) vol.111
Number (no) 404
Page pp.pp.-
#Pages 5
Date of Issue