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Nonnegative Matrix Factorization With Transform Learning

Fagot, Dylan and Wendt, Herwig and Févotte, Cédric Nonnegative Matrix Factorization With Transform Learning. (2018) In: IEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP 2018), 15 April 2018 - 20 April 2018 (Calgary, Canada). (Unpublished)

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Official URL: https://doi.org/10.1109/ICASSP.2018.8461803


Traditional NMF-based signal decomposition relies on the factor-ization of spectral data, which is typically computed by means of short-time frequency transform. In this paper we propose to relax the choice of a pre-fixed transform and learn a short-time orthogonal transform together with the factorization. To this end, we formulate a regularized optimization problem reminiscent of conventional NMF, yet with the transform as additional unknown parameters, and design a novel block-descent algorithm enabling to find stationary points of this objective function. The proposed joint transform learning and factorization approach is tested for two audio signal processing ex-periments, illustrating its conceptual and practical benefits.

Item Type:Conference or Workshop Item (Paper)
Additional Information:Thanks to IEEE editor. The definitive version is available at http://ieeexplore.ieee.org This papers appears in Procedings of ICASSP 2018. Electronic ISSN: 2379-190X The original PDF of the article can be found at: https://ieeexplore.ieee.org/document/8461803 Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.
HAL Id:hal-02289988
Audience (conference):International conference proceedings
Uncontrolled Keywords:
Institution:Université de Toulouse > Institut National Polytechnique de Toulouse - Toulouse INP (FRANCE)
French research institutions > Centre National de la Recherche Scientifique - CNRS (FRANCE)
Université de Toulouse > Université Toulouse III - Paul Sabatier - UT3 (FRANCE)
Université de Toulouse > Université Toulouse - Jean Jaurès - UT2J (FRANCE)
Université de Toulouse > Université Toulouse 1 Capitole - UT1 (FRANCE)
Laboratory name:
ERC : European Research Council (Europe)
Deposited On:06 Sep 2019 08:23

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