Title
An efficient kernel adaptive filtering algorithm using hyperplane projection along affine subspace
Abstract
We propose a novel kernel adaptive filtering algorithm that selectively updates a few coefficients at each iteration by projecting the current filter onto the zero instantaneous-error hyperplane along a certain time-dependent affine subspace. Coherence is exploited for selecting the coefficients to be updated as well as for measuring the novelty of new data. The proposed algorithm is a natural extension of the normalized kernel least mean squares algorithm operating iterative hyperplane projections in a reproducing kernel Hilbert space. The proposed algorithm enjoys low computational complexity. Numerical examples indicate high potential of the proposed algorithm.
Year
Venue
Keywords
2012
Signal Processing Conference
adaptive filters,computational complexity,iterative methods,least mean squares methods,affine subspace,computational complexity,efficient Kernel adaptive filtering algorithm,hyperplane projection,iteration,kernel Hilbert space,natural extension,normalized kernel least mean squares algorithm,time-dependent affine subspace,zero instantaneous-error hyperplane,kernel adaptive filter,normalized kernel least mean square algorithm,projection algorithms,reproducing kernel Hilbert space
Field
DocType
ISSN
Mathematical optimization,Radial basis function kernel,Kernel embedding of distributions,Algorithm,Kernel principal component analysis,Polynomial kernel,Kernel adaptive filter,Hyperplane,Variable kernel density estimation,Mathematics,Kernel (statistics)
Conference
2219-5491
ISBN
Citations 
PageRank 
978-1-4673-1068-0
8
0.54
References 
Authors
4
2
Name
Order
Citations
PageRank
Masahiro Yukawa127230.44
Ryu-ichiro Ishii280.54