Bayesian group sparse learning for nonnegative matrix factorization

Jen-Tzung Chien, Hsin Lung Hsieh

Research output: Chapter in Book/Report/Conference proceedingConference contribution

4 Scopus citations

Abstract

Nonnegative matrix factorization (NMF) is developed for parts-based representation of nonnegative data with the sparseness constraint. The degree of sparseness plays an important role for model regularization. This paper presents Bayesian group sparse learning for NMF and applies it for single-channel source separation. This method establishes the common bases and individual bases to characterize the shared information and residual noise in observed signals, respectively. Laplacian scale mixture distribution is introduced for sparse coding given a sparseness control parameter. A Markov chain Monte Carlo procedure is presented to infer two groups of parameters and their hyperparameters through a sampling procedure based on the conditional posterior distributions. Experiments on separating the single-channel audio signals into rhythmic and harmonic source signals show that the proposed method outperforms baseline NMF, Bayesian NMF and other group-based NMF in terms of signal-to-interference ratio.

Original languageEnglish
Title of host publication13th Annual Conference of the International Speech Communication Association 2012, INTERSPEECH 2012
Pages1550-1553
Number of pages4
StatePublished - 1 Dec 2012
Event13th Annual Conference of the International Speech Communication Association 2012, INTERSPEECH 2012 - Portland, OR, United States
Duration: 9 Sep 201213 Sep 2012

Publication series

Name13th Annual Conference of the International Speech Communication Association 2012, INTERSPEECH 2012
Volume2

Conference

Conference13th Annual Conference of the International Speech Communication Association 2012, INTERSPEECH 2012
CountryUnited States
CityPortland, OR
Period9/09/1213/09/12

Keywords

  • Bayesian sparse learning
  • Group sparsity
  • Nonnegative matrix factorization
  • Source separation

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  • Cite this

    Chien, J-T., & Hsieh, H. L. (2012). Bayesian group sparse learning for nonnegative matrix factorization. In 13th Annual Conference of the International Speech Communication Association 2012, INTERSPEECH 2012 (pp. 1550-1553). (13th Annual Conference of the International Speech Communication Association 2012, INTERSPEECH 2012; Vol. 2).