Convex divergence ICA for blind source separation

Jen-Tzung Chien*, Hsin Lung Hsieh

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

32 Scopus citations


Independent component analysis (ICA) is vital for unsupervised learning and blind source separation (BSS). The ICA unsupervised learning procedure attempts to demix the observation vectors and identify the salient features or mixture sources. This work presents a novel contrast function for evaluating the dependence among sources. A convex divergence measure is developed by applying the convex functions to the Jensen's inequality. Adjustable with a convexity parameter, this inequality-based divergence measure has a wide range of the steepest descents to reach its minimum value. A convex divergence ICA (C-ICA) is constructed and a nonparametric C-ICA algorithm is derived with different convexity parameters where the non-Gaussianity of source signals is characterized by the Parzen window-based distribution. Experimental results indicate that the specialized C-ICA significantly reduces the number of learning epochs during estimation of the demixing matrix. The convergence speed is improved by using the scaled natural gradient algorithm. Experiments on the BSS of instantaneous, noisy and convolutive mixtures of speech and music signals further demonstrate the superiority of the proposed C-ICA to JADE, Fast-ICA, and the nonparametric ICA based on mutual information.

Original languageEnglish
Article number5936672
Pages (from-to)290-301
Number of pages12
JournalIEEE Transactions on Audio, Speech and Language Processing
Issue number1
StatePublished - 1 Jan 2012


  • Blind source separation (BSS)
  • convex function
  • divergence measure
  • independent component analysis

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