Title
Stochastic and Deterministic Tensorization for Blind Signal Separation
Abstract
Given an instantaneous mixture of some source signals, the blind signal separation BSS problem consists of the identification of both the mixing matrix and the original sources. By itself, it is a non-unique matrix factorization problem, while unique solutions can be obtained by imposing additional assumptions such as statistical independence. By mapping the matrix data to a tensor and by using tensor decompositions afterwards, uniqueness is ensured under certain conditions. Tensor decompositions have been studied thoroughly in literature. We discuss the matrix to tensor step and present tensorization as an important concept on itself, illustrated by a number of stochastic and deterministic tensorization techniques.
Year
DOI
Venue
2015
10.1007/978-3-319-22482-4_1
LVA/ICA
Keywords
Field
DocType
Blind source separation,Independent component analysis,Tensorization,Canonical polyadic decomposition,Block term decomposition,Higher-order tensor,Multilinear algebra
Applied mathematics,Mathematical optimization,Multilinear algebra,Tensor (intrinsic definition),Tensor,Matrix (mathematics),Matrix decomposition,Independent component analysis,Tensor contraction,Blind signal separation,Mathematics
Conference
Volume
ISSN
Citations 
9237
0302-9743
9
PageRank 
References 
Authors
0.52
25
2
Name
Order
Citations
PageRank
Otto Debals1506.55
Lieven De Lathauwer23002226.72