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A Theoretical Framework for Overcomplete Geometric BMMR

Theis, Fabian J. ; Lang, Elmar ; Lautenschlager, M. ; Puntonet, Carlos G. Younan, N. , eds.



Abstract

Recently geometric independent component analysis (ICA) has been generalized to overcomplete cases (overcomplete geoICA) with more sources than sensors. Here, we put this algorithm in the two-step framework. We generalize the geometric theory of quadratic case to the overcomplete case showing that fixpoints of geometric ICA fulfill a so called geometric convergence condition, which the mixed ...

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