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Relative group sparsity for non-negative matrix factorization with application to on-the-fly audio source separation

Abstract : We consider dictionary-based signal decompositions with group sparsity, a variant of structured sparsity. We point out that the group sparsity-inducing constraint alone may not be sufficient in some cases when we know that some bigger groups or so-called supergroups cannot vanish completely. To deal with this problem we introduce the notion of relative group sparsity preventing the supergroups from vanishing. In this paper we formulate practical criteria and algorithms for relative group sparsity as applied to non-negative matrix factorization and investigate its potential benefit within the on-the-fly audio source separation framework we recently introduced. Experimental evaluation shows that the proposed relative group sparsity leads to performance improvement over group sparsity in both supervised and semi-supervised on-the-fly audio source separation settings.
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https://hal.inria.fr/hal-01120009
Contributor : Alexey Ozerov <>
Submitted on : Wednesday, December 30, 2015 - 1:43:25 PM
Last modification on : Monday, January 4, 2016 - 2:42:08 PM
Long-term archiving on: : Tuesday, April 5, 2016 - 1:45:01 PM

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  • HAL Id : hal-01120009, version 2

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Dalia El Badawy, Alexey Ozerov, Ngoc Q. K. Duong. Relative group sparsity for non-negative matrix factorization with application to on-the-fly audio source separation . Proc. of the IEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP'15), Apr 2015, Brisbane, Australia. ⟨hal-01120009v2⟩

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