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CP decomposition and weighted clique problem

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  • Zhang, Tonglin

Abstract

The determination of the optimal subdecomposition based on CP decomposition for high-order tensors is not straightforward because the rank-one tensors are not orthogonal. We show that this is equivalent to the weighted clique problem. Thus, it is NP-hard.

Suggested Citation

  • Zhang, Tonglin, 2020. "CP decomposition and weighted clique problem," Statistics & Probability Letters, Elsevier, vol. 161(C).
    • Handle: RePEc:eee:stapro:v:161:y:2020:i:c:s0167715220300262
    DOI: 10.1016/j.spl.2020.108723
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    References listed on IDEAS

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    1. J. Carroll & Jih-Jie Chang, 1970. "Analysis of individual differences in multidimensional scaling via an n-way generalization of “Eckart-Young” decomposition," Psychometrika, Springer;The Psychometric Society, vol. 35(3), pages 283-319, September.
    2. Ledyard Tucker, 1966. "Some mathematical notes on three-mode factor analysis," Psychometrika, Springer;The Psychometric Society, vol. 31(3), pages 279-311, September.
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