Revisiting sparse ICA from a synthesis point of view: Blind Source Separation for over and underdetermined mixtures

This paper studies the existing links between two approaches of Independent Component Analysis (ICA) – FastICA/projection pursuit and Infomax/Maximum likelihood estimation – and the Sparse Component Analysis (SCA), to tackle Blind Source Separation (BSS) of the instantaneous mixtures problem. While ICA methods suit particularly well for (over)determined and noiseless mixtures, SCA has demonstrated its robustness to noise and its ability to deal...