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Tensor Deflation for CANDECOMP/PARAFAC— Part II: Initialization and Error Analysis.

Authors :
Phan, Anh-Huy
Tichavsky, Petr
Cichocki, Andrzej
Source :
IEEE Transactions on Signal Processing. Nov2015, Vol. 63 Issue 22, p5939-5950. 12p.
Publication Year :
2015

Abstract

In Part I of the study of the tensor deflation for CANDECOMP/PARAFAC, we have shown that the rank-1 tensor deflation is applicable under some conditions. Part II of the study presents several initialization algorithms suitable for the algorithm proposed in Part I. In addition, Part II contains an algorithm for the case when one or more factor matrices in the estimated model is constrained to be orthogonal. Finally, Part II provides an error analysis of the tensor deflation algorithm, which shows that there is a marginal loss of accuracy of the deflation algorithm compared to the ordinary CP decomposition. [ABSTRACT FROM PUBLISHER]

Details

Language :
English
ISSN :
1053587X
Volume :
63
Issue :
22
Database :
Academic Search Index
Journal :
IEEE Transactions on Signal Processing
Publication Type :
Academic Journal
Accession number :
110255815
Full Text :
https://doi.org/10.1109/TSP.2015.2458789