Fast Revealing of Mode Ranks of Tensor in Canonical Form
Numer. Math. Theor. Meth. Appl., 2 (2009), pp. 439-444.
Published online: 2009-02
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@Article{NMTMA-2-439,
author = {Dmitry V. Savostyanov},
title = {Fast Revealing of Mode Ranks of Tensor in Canonical Form},
journal = {Numerical Mathematics: Theory, Methods and Applications},
year = {2009},
volume = {2},
number = {4},
pages = {439--444},
abstract = {
Considering the problem of mode ranks revealing of $d$-dimensional array (tensor) given in canonical form, we propose fast algorithm based on cross approximation of Gram matrices of unfoldings.
}, issn = {2079-7338}, doi = {https://doi.org/10.4208/nmtma.2009.m9006s}, url = {http://global-sci.org/intro/article_detail/nmtma/6034.html} }
TY - JOUR
T1 - Fast Revealing of Mode Ranks of Tensor in Canonical Form
AU - Dmitry V. Savostyanov
JO - Numerical Mathematics: Theory, Methods and Applications
VL - 4
SP - 439
EP - 444
PY - 2009
DA - 2009/02
SN - 2
DO - http://doi.org/10.4208/nmtma.2009.m9006s
UR - https://global-sci.org/intro/article_detail/nmtma/6034.html
KW - Multidimensional array, canonical decomposition, Tucker approximation, fast recompression.
AB -
Considering the problem of mode ranks revealing of $d$-dimensional array (tensor) given in canonical form, we propose fast algorithm based on cross approximation of Gram matrices of unfoldings.
Dmitry V. Savostyanov. (2009). Fast Revealing of Mode Ranks of Tensor in Canonical Form.
Numerical Mathematics: Theory, Methods and Applications. 2 (4).
439-444.
doi:10.4208/nmtma.2009.m9006s
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