Title
Online learning in L2 space with multiple Gaussian kernels.
Abstract
We present a novel online learning paradigm for nonlinear function estimation based on iterative orthogonal projections in an L-2 space reflecting the stochastic property of input signals. An online algorithm is built upon the fact that any finite dimensional subspace has a reproducing kernel, which is given in terms of the Gram matrix of its basis. The basis used in the present study involves multiple Gaussian kernels. The sequence generated by the algorithm is expected to approach towards the best approximation, in the L-2-norm sense, of the nonlinear function to be estimated. This is in sharp contrast to the conventional kernel adaptive filtering paradigm because the best approximation in the reproducing kernel Hilbert space generally differs from the minimum mean squared error estimator over the subspace (Yukawa and Muller 2016). Numerical examples show the efficacy of the proposed approach.
Year
Venue
DocType
2017
European Signal Processing Conference
Conference
ISSN
Citations 
PageRank 
2076-1465
0
0.34
References 
Authors
0
2
Name
Order
Citations
PageRank
Motoya Ohnishi100.34
Masahiro Yukawa227230.44