The original paper is in English. Non-English content has been machine-translated and may contain typographical errors or mistranslations. ex. Some numerals are expressed as "XNUMX".
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The original paper is in English. Non-English content has been machine-translated and may contain typographical errors or mistranslations. Copyrights notice
Neste artigo, propomos um método para selecionar nVetores singulares de modo na decomposição de valores singulares de ordem superior. Selecionamos o número mínimo de nVetores singulares de modo, quando o limite superior de uma função de custo de mínimos quadrados é limitado. O reduzido n-as classificações de todos os modos de um determinado tensor são determinadas automaticamente e o tensor é representado com o número mínimo de dimensões. Aplicamos o método de seleção à aproximação simultânea de matrizes de baixo posto. Resultados experimentais mostram a eficácia do n-mode método de seleção de vetor singular.
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Kohei INOUE, Kiichi URAHAMA, "n-Mode Singular Vector Selection in Higher-Order Singular Value Decomposition" in IEICE TRANSACTIONS on Fundamentals,
vol. E91-A, no. 11, pp. 3380-3384, November 2008, doi: 10.1093/ietfec/e91-a.11.3380.
Abstract: 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.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1093/ietfec/e91-a.11.3380/_p
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@ARTICLE{e91-a_11_3380,
author={Kohei INOUE, Kiichi URAHAMA, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={n-Mode Singular Vector Selection in Higher-Order Singular Value Decomposition},
year={2008},
volume={E91-A},
number={11},
pages={3380-3384},
abstract={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.},
keywords={},
doi={10.1093/ietfec/e91-a.11.3380},
ISSN={1745-1337},
month={November},}
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TY - JOUR
TI - n-Mode Singular Vector Selection in Higher-Order Singular Value Decomposition
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 3380
EP - 3384
AU - Kohei INOUE
AU - Kiichi URAHAMA
PY - 2008
DO - 10.1093/ietfec/e91-a.11.3380
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E91-A
IS - 11
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - November 2008
AB - 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.
ER -