Title
The Minimum Entropy and Cumulants Based Contrast Functions for Blind Source Extraction
Abstract
In this paper we address the problem of blind source extraction of a subset of "interesting" independent sources from a linear convolutive or instantaneous mixture. The interesting sources are those which are independent and, in a certain sense, are sparse and far away from Gaussianity. We show that in the low-noise limit and when none of the desired sources is Gaussian, the minimum entropy and cumulants based approaches can solve the problem. These criteria, with roots in Blind Deconvolution and in Projection Pursuit, will be proposed here for the simultaneous blind extraction of a group of independent sources. Then, we suggest simple algorithms which, working on the Stiefel manifold perform maximization of the proposed contrast functions.
Year
DOI
Venue
2001
10.1007/3-540-45723-2_95
IWANN (2)
Keywords
Field
DocType
interesting source,projection pursuit,instantaneous mixture,minimum entropy,contrast functions,certain sense,blind source,blind deconvolution,simultaneous blind extraction,linear convolutive,proposed contrast function,independent source,blind source extraction,cumulant
Projection pursuit,Blind deconvolution,Computer science,Deconvolution,Artificial intelligence,Gaussian process,Blind signal separation,Mathematical optimization,Pattern recognition,Algorithm,Stiefel manifold,Independent component analysis,Maximization
Conference
ISBN
Citations 
PageRank 
3-540-42237-4
14
1.39
References 
Authors
13
3
Name
Order
Citations
PageRank
Sergio Cruces120619.05
Andrzej Cichocki25228508.42
shunichi amari359921269.68