Online learning based on iterative projections in sum space of linear and Gaussian reproducing kernel Hilbert spaces

Masahiro Yukawa

doi:10.1109/ICASSP.2015.7178594

Online learning based on iterative projections in sum space of linear and Gaussian reproducing kernel Hilbert spaces

Masahiro Yukawa

Department of Electronics and Electrical Engineering

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

1 Citation (Scopus)

Abstract

We propose a novel multikernel adaptive filtering algorithm based on the iterative projections in the sum space of reproducing kernel Hilbert spaces. We employ linear and Gaussian kernels, envisioning an application to partially-linear-system identification/estimation. The algorithm is derived by reformulating the hyperplane projection along affine subspace (HYPASS) algorithm in the sum space. The projection is computable by virtue of Minh's theorem proved in 2010 as long as the input space has nonempty interior. Numerical examples show the efficacy of the proposed algorithm.

Original language	English
Title of host publication	ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	3362-3366
Number of pages	5
Volume	2015-August
ISBN (Print)	9781467369978
DOIs	https://doi.org/10.1109/ICASSP.2015.7178594
Publication status	Published - 2015 Aug 4
Event	40th IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2015 - Brisbane, Australia Duration: 2014 Apr 19 → 2014 Apr 24

Other

Other	40th IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2015
Country	Australia
City	Brisbane
Period	14/4/19 → 14/4/24

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Keywords

multikernel adaptive filtering
orthogonal projection
reproducing kernel Hilbert space
sum space

ASJC Scopus subject areas

Signal Processing
Software
Electrical and Electronic Engineering

Cite this

Yukawa, M. (2015). Online learning based on iterative projections in sum space of linear and Gaussian reproducing kernel Hilbert spaces. In ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings (Vol. 2015-August, pp. 3362-3366). [7178594] Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/ICASSP.2015.7178594

Online learning based on iterative projections in sum space of linear and Gaussian reproducing kernel Hilbert spaces. / Yukawa, Masahiro.

ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings. Vol. 2015-August Institute of Electrical and Electronics Engineers Inc., 2015. p. 3362-3366 7178594.

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

Yukawa, M 2015, Online learning based on iterative projections in sum space of linear and Gaussian reproducing kernel Hilbert spaces. in ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings. vol. 2015-August, 7178594, Institute of Electrical and Electronics Engineers Inc., pp. 3362-3366, 40th IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2015, Brisbane, Australia, 14/4/19. https://doi.org/10.1109/ICASSP.2015.7178594

Yukawa M. Online learning based on iterative projections in sum space of linear and Gaussian reproducing kernel Hilbert spaces. In ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings. Vol. 2015-August. Institute of Electrical and Electronics Engineers Inc. 2015. p. 3362-3366. 7178594 https://doi.org/10.1109/ICASSP.2015.7178594

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Access to Document

10.1109/ICASSP.2015.7178594