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DAFX 2014 Paper: Semi-Blind Audio Source Separation of Linearly Mixed Two-Channel Recordings Via GMP
TLDR: GMP works well.

PhD Thesis 2016: Guided Matching Pursuit and its Application to Sound Source Separation
TLDR 1: Sparse approximations rule.
TLDR 2: Audio source separation systems using sparse decomposition front-ends produce better (i.e. higher quality) results than systems using fixed basis transform front-ends.

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OK ideas but obsolete... GMP Coder MATLAB toolbox - version 0.94 (30/09/2015)

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https://uk.linkedin.com/in/dzantalis