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Multiple Nystrom Kernel Adaptive Filter Under Minimum Generalized Cauchy Loss Criterion

delete2023-04-01
delete0
PRE
AI
S
Shenjie Tang
H
Haojie Wang
X
Xifeng Li
D
Dongjie Bi
L
Libiao Peng
Z
Zhenggui Li
Y
Yongle Xie *
DOI:10.1109/TCSII.2022.3224209delete
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摘要

摘要

En 中文
The multikernel adaptive filters (MKAFs) have been successfully applied to resolve the issue of kernel parameter selection in traditional single kernel adaptive filters. However, owing to the linear growing network structures, conventional MKAFs commonly suffer a lot from large computational and memory burdens. To solve this problem, a multiple Nystrom approximation is proposed to curb the computational complexity of MKAFs in this brief. More concretely, the multiple Nystrom method is incorporated into the kernel generalized Cauchy conjugate gradient algorithm, generating a novel multiple Nystrom kernel generalized Cauchy conjugate gradient algorithm (MNKGCCG). It is noted that the MNKGCCG can achieve the desirable filtering performance with low computational cost in the fixed-dimensional feature space. Experimental results on Mackey-Glass time series and sunspots time series predictions in non-Gaussian noise environments demonstrate the superiorities of the proposed MNKGCCG algorithm in terms of filtering accuracy and robustness.
Keyword:
Kernel
Adaptive filters
Signal processing algorithms
Time series analysis
Filtering
Prediction algorithms
Eigenvalues and eigenfunctions
Kernel adaptive filter
multikernel method
reproducing kernel Hilbert space
Nystrom method
generalized Cauchy loss

期刊

I
IEEE Transactions on Circuits and Systems and Express Briefs
IF:
4.9
论文数:
8.8K
被引数:
2.5W

机构

X
Xihua University
学者数:
6.2K
论文数: 3.6K
被引数: 4.1K
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