Institute of Information Theory and Automation

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Bibliography

Journal Article

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

Phan A. H., Tichavský Petr, Cichocki A.

: IEEE Transactions on Signal Processing vol.63, 22 (2015), p. 5939-5950

: GA14-13713S, GA ČR

: Canonical polyadic decomposition, tensor deflation, performance analysis

: 10.1109/TSP.2015.2458789

: http://library.utia.cas.cz/separaty/2015/SI/tichavsky-0448266.pdf

(eng): In Part I of the study of the tensor deflation for CANDECOMP/PARAFAC, we have shown that the rank-1 tensor de- flation 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.

: BB

2019-01-07 08:39