Fast algorithm for complex-NMF with application to source separation
Fast algorithm for complex-NMF with application to source separation
In this paper we consider a Nonnegative Matrix Factorization (NMF) model on complex numbers, in particular, we propose a group complex-NMF (cNMF) model that subsumes the phase-consistency complex NMF for the audio Blind Source Separation (aBSS). Using Wirtinger calculus, we propose a gradient-based algorithm to solve cNMF. The algorithm is then further accelerated using a heuristic extrapolation scheme. Numerical results show that the accelerated algorithm has significantly faster convergence.
Algorithm, Blind source separation, Extrapolation, Nonnegative matrix factorization, Phase, Wirtinger calculus
2084-2088
European Signal Processing Conference, EUSIPCO
Ang, Andersen
ed509ecd-39a3-4887-a709-339fdaded867
Leplat, Valentin
019d30cb-499a-4996-967f-0d5566fcef56
Gillis, Nicolas
76af3b6e-6ece-4191-a229-a7ff3616915f
8 December 2021
Ang, Andersen
ed509ecd-39a3-4887-a709-339fdaded867
Leplat, Valentin
019d30cb-499a-4996-967f-0d5566fcef56
Gillis, Nicolas
76af3b6e-6ece-4191-a229-a7ff3616915f
Ang, Andersen, Leplat, Valentin and Gillis, Nicolas
(2021)
Fast algorithm for complex-NMF with application to source separation.
In 29th European Signal Processing Conference, EUSIPCO 2021 - Proceedings.
European Signal Processing Conference, EUSIPCO.
.
(doi:10.23919/EUSIPCO54536.2021.9616335).
Record type:
Conference or Workshop Item
(Paper)
Abstract
In this paper we consider a Nonnegative Matrix Factorization (NMF) model on complex numbers, in particular, we propose a group complex-NMF (cNMF) model that subsumes the phase-consistency complex NMF for the audio Blind Source Separation (aBSS). Using Wirtinger calculus, we propose a gradient-based algorithm to solve cNMF. The algorithm is then further accelerated using a heuristic extrapolation scheme. Numerical results show that the accelerated algorithm has significantly faster convergence.
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More information
Published date: 8 December 2021
Venue - Dates:
29th European Signal Processing Conference, EUSIPCO 2021, , Dublin, Ireland, 2021-08-23 - 2021-08-27
Keywords:
Algorithm, Blind source separation, Extrapolation, Nonnegative matrix factorization, Phase, Wirtinger calculus
Identifiers
Local EPrints ID: 495174
URI: http://eprints.soton.ac.uk/id/eprint/495174
ISSN: 2219-5491
PURE UUID: 1b29c77d-d1a3-4655-aa88-6d46af9270a5
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Date deposited: 31 Oct 2024 17:33
Last modified: 01 Nov 2024 03:05
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Contributors
Author:
Andersen Ang
Author:
Valentin Leplat
Author:
Nicolas Gillis
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