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n-Mode Singular Vector Selection in Higher-Order Singular Value Decomposition
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- INOUE Kohei
- Faculty of Design, Kyushu University
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- URAHAMA Kiichi
- Faculty of Design, Kyushu University
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Description
In this paper, we propose a method for selecting n-mode singular vectors in higher-order singular value decomposition. We select the minimum number of n-mode singular vectors, when the upper bound of a least-squares cost function is thresholded. The reduced n-ranks of all modes of a given tensor are determined automatically and the tensor is represented with the minimum number of dimensions. We apply the selection method to simultaneous low rank approximation of matrices. Experimental results show the effectiveness of the n-mode singular vector selection method.
Journal
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- IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
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IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences E91-A (11), 3380-3384, 2008
The Institute of Electronics, Information and Communication Engineers
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Keywords
Details 詳細情報について
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- CRID
- 1390001206309948288
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- NII Article ID
- 10026853656
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- NII Book ID
- AA10826239
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- ISSN
- 17451337
- 09168508
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- Text Lang
- en
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- Data Source
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- JaLC
- Crossref
- CiNii Articles
- OpenAIRE
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- Abstract License Flag
- Disallowed
