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Multikernel Least Mean Square Algorithm

delete2014-02-01
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PRE
AI
F
Felipe Tobar *
Sun-Yuan Kung cover
Sun-Yuan Kung (Sun‐Yuan Kung)
D
Danilo P. Mandic
DOI:10.1109/TNNLS.2013.2272594delete
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Abstract

Abstract

En 中文
The multikernel least-mean-square algorithm is introduced for adaptive estimation of vector-valued nonlinear and nonstationary signals. This is achieved by mapping the multivariate input data to a Hilbert space of time-varying vector-valued functions, whose inner products (kernels) are combined in an online fashion. The proposed algorithm is equipped with novel adaptive sparsification criteria ensuring a finite dictionary, and is computationally efficient and suitable for nonstationary environments. We also show the ability of the proposed vector-valued reproducing kernel Hilbert space to serve as a feature space for the class of multikernel least-squares algorithms. The benefits of adaptive multikernel (MK) estimation algorithms are illuminated in the nonlinear multivariate adaptive prediction setting. Simulations on nonlinear inertial body sensor signals and nonstationary real-world wind signals of low, medium, and high dynamic regimes support the approach.
Keywords:
Adaptive sparsification
kernel methods
least mean square (LMS)
multiple kernels
vector RKHS
wind prediction

Journal

IEEE Transactions on Neural Networks and Learning Systems cover
IEEE Transactions on Neural Networks and Learning Systems
IF:
8.9
Papers:
7.6K
Citations:
7.2W

Organization

P
princeton university
Scholars:
509
Papers: 212
Citations: 0
I
imperial college london
Scholars:
1.6K
Papers: 651
Citations: 0
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