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Optimization framework for large-scale sparse blind source separation

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Figure II.1 – Example of LC/MS data. Figure taken from [Rapin 2014].
Figure II.3 – Example of BSS with the Chandra satellite : Up : some observed data (each flattened image of 128 x 128 pixels corresponds to one row of X) ; Middle : true physical sources (each flattened image corresponds to one row of S ∗ ), corresponding to several kinds of emissions ; Down : true mixing matrix (each curve corresponds to the spectrum of an emission and is a column of A ∗ )
Figure II.4 – Example of show-through effect. Text from Les Misérables, Victor Hugo. Left : Recto ; Right : Verso.
Figure II.5 – Examples of : Left : exactly sparse signal : most of the coefficients are 0 ; Right : approximately sparse signal : while most of the coefficients are non-zeros, many of them are close to 0, making that the signal can be well approximated by
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