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

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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.

Original languageEnglish
Article number7163358
Pages (from-to)5939-5950
Number of pages12
JournalIEEE Transactions on Signal Processing
Issue number22
Publication statusPublished - 15 Nov 2015
Externally publishedYes


  • canonical polyadic decomposition (CPD)
  • Cramér-Rao lower bound
  • tensor deflation


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