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Three-Way Tensor Decompositions: A Generalized Minimum Noise Subspace Based Approach

Le, Trung Thanh and Nguyen, Viet Dung and Nguyen, Linh Trung and Abed-Meraim, Karim (2018) Three-Way Tensor Decompositions: A Generalized Minimum Noise Subspace Based Approach. REV Journal on Electronics and Communications, 8 (1-2). pp. 14-31. ISSN 1859-378X

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Tensor decomposition has recently become a popular method of multi-dimensional data analysis in various applications. The main interest in tensor decomposition is for dimensionality reduction, approximation or subspace purposes. However, the emergence of “big data” now gives rise to increased computational complexity for performing tensor decomposition. In this paper, motivated by the advantages of the generalized minimum noise subspace (GMNS) method, recently proposed for array processing, we proposed two algorithms for principal subspace analysis (PSA) and two algorithms for tensor decomposition using parallel factor analysis (PARAFAC) and higher-order singular value decomposition (HOSVD). The proposed decomposition algorithms can preserve several desired properties of PARAFAC and HOSVD while substantially reducing the computational complexity. Performance comparisons of PSA and tensor decomposition of our proposed algorithms against the state-of-the-art ones were studied via numerical experiments. Experimental results indicated that the proposed algorithms are of practical values.

Item Type: Article
Subjects: Electronics and Communications
Divisions: Advanced Insitute of Engineering and Technology (AVITECH)
Faculty of Electronics and Telecommunications (FET)
Depositing User: A/Prof. Linh Trung Nguyen
Date Deposited: 18 Jun 2018 08:05
Last Modified: 17 Dec 2018 19:26

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