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Gram-Schmidt-Based Sparsification for Kernel Dictionary

delete2020-01-01
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PRE
AI
A
André Bueno
M
Magno T. M. Silva *
DOI:10.1109/LSP.2020.3004022delete
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摘要

摘要

En 中文
Kernel methods have been used to solve nonlinear problems in signal processing and machine learning. To avoid a too large growth of the dictionary, different sparsification techniques have emerged in the literature. In this letter, we propose a Gram-Schmidt-based sparsification technique for kernel dictionaries. It projects the mapped vectors by the kernel into a finite-dimensional subspace spanned by an orthonormal basis and can be used with any Mercer kernel. In particular, we apply it to a least-mean-square-type (LMS) algorithm. Simulation results show that the proposed algorithm presents a lower computational cost when compared to kernel LMS implemented with other sparsification techniques, while maintaining the performance.
Keyword:
Kernel-based-methods
dictionary sparsification
adaptive filtering
nonlinear signal processing
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期刊

IEEE Signal Processing Magazine 封面图
IEEE Signal Processing Magazine
IF:
9.6
论文数:
1.1W
被引数:
1.7W

机构

U
universidade de sao paulo
学者数:
10.6W
论文数: 6.7W
被引数: 93
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