Title
To infinity and beyond: on ICA over hilbert spaces
Abstract
The original Independent Component Analysis (ICA) problem of blindly separating a mixture of a finite number of real-valued statistically independent one-dimensional sources has been extended in a number of ways in recent years. These include dropping the assumption that all sources are one-dimensional and some extensions to the case where the sources are not real-valued. We introduce an extension in a further direction, no longer assuming only a finite number of sources, but instead allowing infinitely many. We define a notion of independent sources for this case and show separability of ICA in this framework.
Year
DOI
Venue
2012
10.1007/978-3-642-28551-6_23
LVA/ICA
Keywords
Field
DocType
finite number,show separability,independent one-dimensional source,original independent component analysis,recent year,hilbert space,independent source
Hilbert space,Discrete mathematics,Finite set,Infinity,Pure mathematics,Multivariate random variable,Independent component analysis,Mathematics,Independence (probability theory)
Conference
Citations 
PageRank 
References 
0
0.34
1
Authors
2
Name
Order
Citations
PageRank
Harold W. Gutch1454.60
Fabian J. Theis293185.37