Title
Nonlinear adaptive filtering techniques with multiple kernels
Abstract
In this paper, we propose a novel approach using multiple kernels to nonlinear adaptive filtering problems. We present two types of multi-kernel adaptive filtering algorithms, both of which are based on the kernel normalized least mean square (KNLMS) algorithm (Richard et al., 2009). One is a simple generalization of KNLMS, adopting the coherence criterion for dictionary selection. The other is derived by applying the adaptive proximal forward-backward splitting method to a certain squared distance function penalized by a weighted block ℓ1 norm. The latter algorithm operates the weighted block soft-thresholding which encourages the sparsity of dictionary at the block level. Numerical examples demonstrate the efficacy of the proposed approach.
Year
Venue
Keywords
2011
Barcelona
adaptive filters,least mean squares methods,nonlinear filters,operating system kernels,knlms,adaptive proximal forward-backward splitting method,coherence criterion,dictionary selection,kernel normalized least mean square,multikernel adaptive filtering algorithm,multiple kernel,nonlinear adaptive filtering technique,squared distance function,weighted block soft-thresholding,approximation algorithms,vectors,memory management,kernel,dictionaries
Field
DocType
ISSN
Least mean squares filter,Kernel (linear algebra),Approximation algorithm,Square (algebra),Pattern recognition,Metric (mathematics),Coherence (physics),Artificial intelligence,Kernel adaptive filter,Variable kernel density estimation,Mathematics
Conference
2076-1465
Citations 
PageRank 
References 
8
0.57
5
Authors
1
Name
Order
Citations
PageRank
Masahiro Yukawa127230.44