Orthogonal Low Rank Tensor Approximation: Alternating Least Squares Method and Its Global Convergence

Liqi Wang; Moody T. Chu; Bo Yu

doi:10.1137/130943133

Orthogonal Low Rank Tensor Approximation: Alternating Least Squares Method and Its Global Convergence

SIAM Journal on Matrix Analysis and Applications ◽

10.1137/130943133 ◽

2015 ◽

Vol 36 (1) ◽

pp. 1-19 ◽

Cited By ~ 12

Author(s):

Liqi Wang ◽

Moody T. Chu ◽

Bo Yu

Keyword(s):

Global Convergence ◽

Least Squares ◽

Least Squares Method ◽

Alternating Least Squares ◽

Low Rank ◽

Rank Tensor ◽

Tensor Approximation

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The Epsilon-Alternating Least Squares for Orthogonal Low-Rank Tensor Approximation and Its Global Convergence

SIAM Journal on Matrix Analysis and Applications ◽

10.1137/19m1303113 ◽

2020 ◽

Vol 41 (4) ◽

pp. 1797-1825

Author(s):

Yuning Yang

Keyword(s):

Global Convergence ◽

Least Squares ◽

Alternating Least Squares ◽

Low Rank ◽

Rank Tensor ◽

Tensor Approximation

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On the Global Convergence of the Alternating Least Squares Method for Rank-One Approximation to Generic Tensors

SIAM Journal on Matrix Analysis and Applications ◽

10.1137/130938207 ◽

2014 ◽

Vol 35 (3) ◽

pp. 1058-1072 ◽

Cited By ~ 21

Author(s):

Liqi Wang ◽

Moody T. Chu

Keyword(s):

Global Convergence ◽

Least Squares ◽

Least Squares Method ◽

Alternating Least Squares ◽

Rank One

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Computation of low-rank tensor approximation under existence constraint via a forward-backward algorithm

Signal Processing ◽

10.1016/j.sigpro.2021.108178 ◽

2021 ◽

pp. 108178

Author(s):

Marouane Nazih ◽

Khalid Minaoui ◽

Elaheh Sobhani ◽

Pierre Comon

Keyword(s):

Low Rank ◽

Rank Tensor ◽

Tensor Approximation

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A novel alternating least-squares method based on fixed region scanning evolving factor analysis (FRSEFA) and its application in process monitoring

Analytical Methods ◽

10.1039/c4ay01292e ◽

2014 ◽

Vol 6 (19) ◽

pp. 7883-7890 ◽

Cited By ~ 4

Author(s):

Peijin Tong ◽

Ting Wu ◽

Xuan Wang ◽

Han Zhang ◽

Yan Kang ◽

...

Keyword(s):

Factor Analysis ◽

Least Squares ◽

Process Monitoring ◽

Least Squares Method ◽

Alternating Least Squares ◽

Fixed Region

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Additive structure in qualitative data: An alternating least squares method with optimal scaling features

Psychometrika ◽

10.1007/bf02296971 ◽

1976 ◽

Vol 41 (4) ◽

pp. 471-503 ◽

Cited By ~ 122

Author(s):

Jan de Leeuw ◽

Forrest W. Young ◽

Yoshio Takane

Keyword(s):

Least Squares ◽

Qualitative Data ◽

Least Squares Method ◽

Optimal Scaling ◽

Alternating Least Squares ◽

Additive Structure ◽

Scaling Features

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FCM-type switching regression with alternating least squares method

2008 IEEE International Conference on Fuzzy Systems (IEEE World Congress on Computational Intelligence) ◽

10.1109/fuzzy.2008.4630354 ◽

2008 ◽

Cited By ~ 1

Author(s):

Katsuhiro Honda ◽

Takahiro Ohyama ◽

Hidetomo Ichihashi ◽

Akira Notsu

Keyword(s):

Least Squares ◽

Least Squares Method ◽

Alternating Least Squares ◽

Switching Regression

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Enhanced Low Rank Tensor Approximation Algorithm

Advances in Applied Mathematics ◽

10.12677/aam.2019.88157 ◽

2019 ◽

Vol 08 (08) ◽

pp. 1336-1340

Author(s):

婷婷马

Keyword(s):

Approximation Algorithm ◽

Low Rank ◽

Rank Tensor ◽

Tensor Approximation

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Locally linear low-rank tensor approximation

2015 IEEE Global Conference on Signal and Information Processing (GlobalSIP) ◽

10.1109/globalsip.2015.7418315 ◽

2015 ◽

Cited By ~ 3

Author(s):

Alp Ozdemir ◽

Mark A. Iwen ◽

Selin Aviyente

Keyword(s):

Low Rank ◽

Rank Tensor ◽

Tensor Approximation ◽

Locally Linear

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A fast alternating least squares method for third-order tensors based on a compression procedure

JSIAM Letters ◽

10.14495/jsiaml.7.5 ◽

2015 ◽

Vol 7 (0) ◽

pp. 5-8

Author(s):

Tomonori Murakoshi ◽

Takayasu Matsuo

Keyword(s):

Least Squares ◽

Least Squares Method ◽

Alternating Least Squares ◽

Third Order

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Application of the correlation constrained multivariate curve resolution alternating least-squares method for analyte quantitation in the presence of unexpected interferences using first-order instrumental data

The Analyst ◽

10.1039/b922547a ◽

2010 ◽

Vol 135 (3) ◽

pp. 636 ◽

Cited By ~ 45

Author(s):

Héctor C. Goicoechea ◽

Alejandro C. Olivieri ◽

Romà Tauler

Keyword(s):

Least Squares ◽

Least Squares Method ◽

Alternating Least Squares ◽

Multivariate Curve Resolution ◽

Instrumental Data ◽

Curve Resolution ◽

First Order

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