Spurious entropy minima for multimodal source separation

Abstract

This paper presents two approaches for showing that spurious minima of the entropy may exist in the blind source separation context. The first one is based on the calculation of first and second derivative of the output entropy and The second one is based on entropy approximator for multimodal variable having small overlap between the modes. It is shown that spurious entropy minima arise when the source distribution becomes more and more multimodal.