An efficient sparse kernel adaptive filtering algorithm based on isomorphism between functional subspace and Euclidean space

Masa Aki Takizawa; Masahiro Yukawa

doi:10.1109/ICASSP.2014.6854455

An efficient sparse kernel adaptive filtering algorithm based on isomorphism between functional subspace and Euclidean space

Masa Aki Takizawa, Masahiro Yukawa

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

8 Citations (Scopus)

Abstract

The existing kernel filtering algorithms are classified into two categories depending on what space the optimization is formulated in. This paper bridges the two different approaches by focusing on the isomorphism between the dictionary subspace and a Euclidean space with the inner product defined by the kernel matrix. Based on the isomorphism, we propose a novel kernel adaptive filtering algorithm which adaptively refines the dictionary and thereby achieves excellent performance with a small dictionary size. Numerical examples show the efficacy of the proposed algorithm.

Original language	English
Title of host publication	2014 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2014
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	4508-4512
Number of pages	5
ISBN (Print)	9781479928927
DOIs	https://doi.org/10.1109/ICASSP.2014.6854455
Publication status	Published - 2014 Jan 1
Event	2014 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2014 - Florence, Italy Duration: 2014 May 4 → 2014 May 9

Publication series

Name	ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings
ISSN (Print)	1520-6149

Other

Other	2014 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2014
Country/Territory	Italy
City	Florence
Period	14/5/4 → 14/5/9

ASJC Scopus subject areas

Software
Signal Processing
Electrical and Electronic Engineering

Access to Document

10.1109/ICASSP.2014.6854455

Cite this

Takizawa, M. A., & Yukawa, M. (2014). An efficient sparse kernel adaptive filtering algorithm based on isomorphism between functional subspace and Euclidean space. In 2014 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2014 (pp. 4508-4512). [6854455] (ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/ICASSP.2014.6854455

An efficient sparse kernel adaptive filtering algorithm based on isomorphism between functional subspace and Euclidean space. / Takizawa, Masa Aki; Yukawa, Masahiro.

2014 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2014. Institute of Electrical and Electronics Engineers Inc., 2014. p. 4508-4512 6854455 (ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Takizawa, MA & Yukawa, M 2014, An efficient sparse kernel adaptive filtering algorithm based on isomorphism between functional subspace and Euclidean space. in 2014 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2014., 6854455, ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings, Institute of Electrical and Electronics Engineers Inc., pp. 4508-4512, 2014 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2014, Florence, Italy, 14/5/4. https://doi.org/10.1109/ICASSP.2014.6854455

Takizawa MA, Yukawa M. An efficient sparse kernel adaptive filtering algorithm based on isomorphism between functional subspace and Euclidean space. In 2014 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2014. Institute of Electrical and Electronics Engineers Inc. 2014. p. 4508-4512. 6854455. (ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings). doi: 10.1109/ICASSP.2014.6854455

Takizawa, Masa Aki ; Yukawa, Masahiro. / An efficient sparse kernel adaptive filtering algorithm based on isomorphism between functional subspace and Euclidean space. 2014 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2014. Institute of Electrical and Electronics Engineers Inc., 2014. pp. 4508-4512 (ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings).

@inproceedings{055e7b5a17eb44acb49c6c411f489166,

title = "An efficient sparse kernel adaptive filtering algorithm based on isomorphism between functional subspace and Euclidean space",

abstract = "The existing kernel filtering algorithms are classified into two categories depending on what space the optimization is formulated in. This paper bridges the two different approaches by focusing on the isomorphism between the dictionary subspace and a Euclidean space with the inner product defined by the kernel matrix. Based on the isomorphism, we propose a novel kernel adaptive filtering algorithm which adaptively refines the dictionary and thereby achieves excellent performance with a small dictionary size. Numerical examples show the efficacy of the proposed algorithm.",

author = "Takizawa, {Masa Aki} and Masahiro Yukawa",

year = "2014",

month = jan,

day = "1",

doi = "10.1109/ICASSP.2014.6854455",

language = "English",

isbn = "9781479928927",

series = "ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

pages = "4508--4512",

booktitle = "2014 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2014",

note = "2014 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2014 ; Conference date: 04-05-2014 Through 09-05-2014",

}

TY - GEN

T1 - An efficient sparse kernel adaptive filtering algorithm based on isomorphism between functional subspace and Euclidean space

AU - Takizawa, Masa Aki

AU - Yukawa, Masahiro

PY - 2014/1/1

Y1 - 2014/1/1

N2 - The existing kernel filtering algorithms are classified into two categories depending on what space the optimization is formulated in. This paper bridges the two different approaches by focusing on the isomorphism between the dictionary subspace and a Euclidean space with the inner product defined by the kernel matrix. Based on the isomorphism, we propose a novel kernel adaptive filtering algorithm which adaptively refines the dictionary and thereby achieves excellent performance with a small dictionary size. Numerical examples show the efficacy of the proposed algorithm.

AB - The existing kernel filtering algorithms are classified into two categories depending on what space the optimization is formulated in. This paper bridges the two different approaches by focusing on the isomorphism between the dictionary subspace and a Euclidean space with the inner product defined by the kernel matrix. Based on the isomorphism, we propose a novel kernel adaptive filtering algorithm which adaptively refines the dictionary and thereby achieves excellent performance with a small dictionary size. Numerical examples show the efficacy of the proposed algorithm.

UR - http://www.scopus.com/inward/record.url?scp=84905251999&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84905251999&partnerID=8YFLogxK

U2 - 10.1109/ICASSP.2014.6854455

DO - 10.1109/ICASSP.2014.6854455

M3 - Conference contribution

AN - SCOPUS:84905251999

SN - 9781479928927

T3 - ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings

SP - 4508

EP - 4512

BT - 2014 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2014

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 2014 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2014

Y2 - 4 May 2014 through 9 May 2014

ER -

An efficient sparse kernel adaptive filtering algorithm based on isomorphism between functional subspace and Euclidean space

Abstract

Publication series

Other

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this