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@article{DBLP:journals/jota/ZhaoLS24,
author = {Jianxing Zhao and
Pin Liu and
Caili Sang},
title = {Shifted Inverse Power Method for Computing the Smallest M-Eigenvalue
of a Fourth-Order Partially Symmetric Tensor},
journal = {J. Optim. Theory Appl.},
volume = {200},
number = {3},
pages = {1131--1159},
year = {2024}
}
@article{DBLP:journals/ol/MaoY24,
author = {Xianpeng Mao and
Yuning Yang},
title = {Practical approximation algorithms for {\(\mathscr{l}\)}\({}_{\mbox{1}}\)-regularized
sparse rank-1 approximation to higher-order tensors},
journal = {Optim. Lett.},
volume = {18},
number = {3},
pages = {767--781},
year = {2024}
}
@article{DBLP:journals/tits/LiuZDZYZ24,
author = {Huazhong Liu and
Yunfan Zhang and
Jihong Ding and
Hanning Zhang and
Laurence T. Yang and
Xiaokang Zhou},
title = {Tensor-Train-Based Incremental High Order Dominant Z-Eigen Decomposition
for Multi-Modal Intelligent Transportation Prediction},
journal = {{IEEE} Trans. Intell. Transp. Syst.},
volume = {25},
number = {3},
pages = {2534--2544},
year = {2024}
}
@article{DBLP:journals/jns/GolovatyKMS23,
author = {Dmitry Golovaty and
Matthias Kurzke and
Jos{\'{e}} Alberto Montero and
Daniel Spirn},
title = {Tetrahedral Frame Fields via Constrained Third-Order Symmetric Tensors},
journal = {J. Nonlinear Sci.},
volume = {33},
number = {3},
pages = {48},
year = {2023}
}
@article{DBLP:journals/ol/DongWZC23,
author = {Manman Dong and
Chunyan Wang and
Qingni Zhu and
Haibin Chen},
title = {The partially symmetric rank-1 approximation of fourth-order partially
symmetric tensors},
journal = {Optim. Lett.},
volume = {17},
number = {3},
pages = {629--642},
year = {2023}
}
@article{DBLP:journals/corr/abs-2303-07757,
author = {Dina Faneva Andriantsiory and
Joseph Ben Geloun and
Mustapha Lebbah},
title = {Multiway clustering of 3-order tensor via affinity matrix},
journal = {CoRR},
volume = {abs/2303.07757},
year = {2023}
}
@article{DBLP:journals/simods/ChenR22,
author = {Haolin Chen and
Luis Rademacher},
title = {Overcomplete Order-3 Tensor Decomposition, Blind Deconvolution, and
Gaussian Mixture Models},
journal = {{SIAM} J. Math. Data Sci.},
volume = {4},
number = {1},
pages = {336--361},
year = {2022}
}
@inproceedings{DBLP:conf/colt/DingdLST22,
author = {Jingqiu Ding and
Tommaso d'Orsi and
Chih{-}Hung Liu and
David Steurer and
Stefan Tiegel},
title = {Fast algorithm for overcomplete order-3 tensor decomposition},
booktitle = {{COLT}},
series = {Proceedings of Machine Learning Research},
volume = {178},
pages = {3741--3799},
publisher = {{PMLR}},
year = {2022}
}
@article{DBLP:journals/corr/abs-2202-06442,
author = {Jingqiu Ding and
Tommaso d'Orsi and
Chih{-}Hung Liu and
Stefan Tiegel and
David Steurer},
title = {Fast algorithm for overcomplete order-3 tensor decomposition},
journal = {CoRR},
volume = {abs/2202.06442},
year = {2022}
}
@article{DBLP:journals/cmam/WitteAK21,
author = {Julius Witte and
Daniel Arndt and
Guido Kanschat},
title = {Fast Tensor Product Schwarz Smoothers for High-Order Discontinuous
Galerkin Methods},
journal = {Comput. Methods Appl. Math.},
volume = {21},
number = {3},
pages = {709--728},
year = {2021}
}
@article{DBLP:journals/jgo/ChengZN21,
author = {Lulu Cheng and
Xinzhen Zhang and
Guyan Ni},
title = {A semidefinite relaxation method for second-order cone tensor eigenvalue
complementarity problems},
journal = {J. Glob. Optim.},
volume = {79},
number = {3},
pages = {715--732},
year = {2021}
}
@article{DBLP:journals/jimaging/AlsakarMH21,
author = {Yasmin M. Alsakar and
Nagham E. Mekky and
Noha A. Hikal},
title = {Detecting and Locating Passive Video Forgery Based on Low Computational
Complexity Third-Order Tensor Representation},
journal = {J. Imaging},
volume = {7},
number = {3},
pages = {47},
year = {2021}
}
@article{DBLP:journals/jstsp/HoangTSP21,
author = {Pham Minh Hoang and
Hoang Duong Tuan and
Tran Thai Son and
H. Vincent Poor},
title = {Qualitative {HD} Image and Video Recovery via High-Order Tensor Augmentation
and Completion},
journal = {{IEEE} J. Sel. Top. Signal Process.},
volume = {15},
number = {3},
pages = {688--701},
year = {2021}
}
@article{DBLP:journals/ml/WimalawarneM21,
author = {Kishan Wimalawarne and
Hiroshi Mamitsuka},
title = {Reshaped tensor nuclear norms for higher order tensor completion},
journal = {Mach. Learn.},
volume = {110},
number = {3},
pages = {507--531},
year = {2021}
}
@article{DBLP:journals/nm/ZengJN21,
author = {Chao Zeng and
Tai{-}Xiang Jiang and
Michael K. Ng},
title = {An approximation method of {CP} rank for third-order tensor completion},
journal = {Numerische Mathematik},
volume = {147},
number = {3},
pages = {727--757},
year = {2021}
}
@article{DBLP:journals/order/JencovaP21,
author = {Anna Jencov{\'{a}} and
Sylvia Pulmannov{\'{a}}},
title = {Tensor Product of Dimension Effect Algebras},
journal = {Order},
volume = {38},
number = {3},
pages = {377--389},
year = {2021}
}
@article{DBLP:journals/tmi/DaneshmandMR21,
author = {Parisa Ghaderi Daneshmand and
Alireza Mehridehnavi and
Hossein Rabbani},
title = {Reconstruction of Optical Coherence Tomography Images Using Mixed
Low Rank Approximation and Second Order Tensor Based Total Variation
Method},
journal = {{IEEE} Trans. Medical Imaging},
volume = {40},
number = {3},
pages = {865--878},
year = {2021}
}
@inproceedings{DBLP:conf/icmla/FanevaGL21,
author = {Andriantsiory Dina Faneva and
Joseph Ben Geloun and
Mustapha Lebbah},
title = {Multi-Slice Clustering for 3-order Tensor},
booktitle = {{ICMLA}},
pages = {173--178},
publisher = {{IEEE}},
year = {2021}
}
@article{DBLP:journals/corr/abs-2109-10803,
author = {Andriantsiory Dina Faneva and
Joseph Ben Geloun and
Mustapha Lebbah},
title = {Multi-Slice Clustering for 3-order Tensor Data},
journal = {CoRR},
volume = {abs/2109.10803},
year = {2021}
}
@article{DBLP:journals/cam/LiCLZ20,
author = {Shigui Li and
Zhen Chen and
Chaoqian Li and
Jianxing Zhao},
title = {Eigenvalue bounds of third-order tensors via the minimax eigenvalue
of symmetric matrices},
journal = {Comput. Appl. Math.},
volume = {39},
number = {3},
year = {2020}
}
@article{DBLP:journals/mlst/SchindlerJ20,
author = {Frank Schindler and
Adam S. Jermyn},
title = {Algorithms for tensor network contraction ordering},
journal = {Mach. Learn. Sci. Technol.},
volume = {1},
number = {3},
pages = {35001},
year = {2020}
}
@article{DBLP:journals/nla/Lund20,
author = {Kathryn Lund},
title = {The tensor t-function: {A} definition for functions of third-order
tensors},
journal = {Numer. Linear Algebra Appl.},
volume = {27},
number = {3},
year = {2020}
}
@article{DBLP:journals/nla/MiaoCLM20,
author = {Jifei Miao and
Guanghui Cheng and
Wenrui Li and
Eric Moreau},
title = {A unitary joint diagonalization algorithm for nonsymmetric higher-order
tensors based on Givens-like rotations},
journal = {Numer. Linear Algebra Appl.},
volume = {27},
number = {3},
year = {2020}
}
@article{DBLP:journals/nla/ZengN20,
author = {Chao Zeng and
Michael K. Ng},
title = {Decompositions of third-order tensors: HOSVD, T-SVD, and Beyond},
journal = {Numer. Linear Algebra Appl.},
volume = {27},
number = {3},
year = {2020}
}
@article{DBLP:journals/siammax/ShermanK20,
author = {Samantha Sherman and
Tamara G. Kolda},
title = {Estimating Higher-Order Moments Using Symmetric Tensor Decomposition},
journal = {{SIAM} J. Matrix Anal. Appl.},
volume = {41},
number = {3},
pages = {1369--1387},
year = {2020}
}
@article{DBLP:journals/corr/abs-2007-08133,
author = {Haolin Chen and
Luis Rademacher},
title = {Overcomplete order-3 tensor decomposition, blind deconvolution and
Gaussian mixture models},
journal = {CoRR},
volume = {abs/2007.08133},
year = {2020}
}
@article{DBLP:journals/cam/RezghiA19,
author = {Mansoor Rezghi and
Maryam Amirmazlaghani},
title = {Even-order Toeplitz tensor: framework for multidimensional structured
linear systems},
journal = {Comput. Appl. Math.},
volume = {38},
number = {3},
year = {2019}
}
@article{DBLP:journals/cgf/GerritsRT19,
author = {Tim Gerrits and
Christian R{\"{o}}ssl and
Holger Theisel},
title = {Towards Glyphs for Uncertain Symmetric Second-Order Tensors},
journal = {Comput. Graph. Forum},
volume = {38},
number = {3},
pages = {325--336},
year = {2019}
}
@article{DBLP:journals/cma/LiKCN19,
author = {Wen Li and
Rihuan Ke and
Wai{-}Ki Ching and
Michael K. Ng},
title = {A C-eigenvalue problem for tensors with applications to higher-order
multivariate Markov chains},
journal = {Comput. Math. Appl.},
volume = {78},
number = {3},
pages = {1008--1025},
year = {2019}
}
@article{DBLP:journals/jota/YangZY19,
author = {Qingzhi Yang and
Yang Zhou and
Yuning Yang},
title = {An Extension of Yuan's Lemma to Fourth-Order Tensor System},
journal = {J. Optim. Theory Appl.},
volume = {180},
number = {3},
pages = {803--810},
year = {2019}
}
@article{DBLP:journals/nm/Nouy19,
author = {Anthony Nouy},
title = {Higher-order principal component analysis for the approximation of
tensors in tree-based low-rank formats},
journal = {Numerische Mathematik},
volume = {141},
number = {3},
pages = {743--789},
year = {2019}
}
@article{DBLP:journals/order/Yang19,
author = {Taewon Yang},
title = {Tensor Products of Rings {Z/L} of Zero-Dimensional Frames},
journal = {Order},
volume = {36},
number = {3},
pages = {669--682},
year = {2019}
}
@article{DBLP:journals/tbd/FengYDWZ19,
author = {Jun Feng and
Laurence T. Yang and
Guohui Dai and
Wei Wang and
Deqing Zou},
title = {A Secure High-Order Lanczos-Based Orthogonal Tensor {SVD} for Big
Data Reduction in Cloud Environment},
journal = {{IEEE} Trans. Big Data},
volume = {5},
number = {3},
pages = {355--367},
year = {2019}
}
@article{DBLP:journals/cgf/OsterRT18,
author = {Timo Oster and
Christian R{\"{o}}ssl and
Holger Theisel},
title = {Core Lines in 3D Second-Order Tensor Fields},
journal = {Comput. Graph. Forum},
volume = {37},
number = {3},
pages = {327--337},
year = {2018}
}
@article{DBLP:journals/cssp/AraujoA18,
author = {Gilderlan T. de Ara{\'{u}}jo and
Andr{\'{e}} L. F. de Almeida},
title = {Closed-Form Channel Estimation for {MIMO} Space-Time Coded Systems
Using a Fourth-Order Tensor-Based Receiver},
journal = {Circuits Syst. Signal Process.},
volume = {37},
number = {3},
pages = {1343--1357},
year = {2018}
}
@article{DBLP:journals/siamsc/DominoGP18,
author = {Krzysztof Domino and
Piotr Gawron and
Lukasz Pawela},
title = {Efficient Computation of Higher-Order Cumulant Tensors},
journal = {{SIAM} J. Sci. Comput.},
volume = {40},
number = {3},
year = {2018}
}
@article{DBLP:journals/nm/HackbuschU17,
author = {Wolfgang Hackbusch and
Andr{\'{e}} Uschmajew},
title = {On the interconnection between the higher-order singular values of
real tensors},
journal = {Numerische Mathematik},
volume = {135},
number = {3},
pages = {875--894},
year = {2017}
}
@article{DBLP:journals/corr/abs-1710-06693,
author = {Sher Ali Cheema and
Emilio Rafael Balda and
Yao Cheng and
Martin Haardt and
Amir Weiss and
Arie Yeredor},
title = {First-Order Perturbation Analysis of the {SECSI} Framework for the
Approximate {CP} Decomposition of 3-D Noise-Corrupted Low-Rank Tensors},
journal = {CoRR},
volume = {abs/1710.06693},
year = {2017}
}
@article{DBLP:journals/cgf/SeltzerK16,
author = {Nicholas Seltzer and
Gordon L. Kindlmann},
title = {Glyphs for Asymmetric Second-Order 2D Tensors},
journal = {Comput. Graph. Forum},
volume = {35},
number = {3},
pages = {141--150},
year = {2016}
}
@article{DBLP:journals/siammax/LiuGL16,
author = {Ching{-}Sung Liu and
Chun{-}Hua Guo and
Wen{-}Wei Lin},
title = {A Positivity Preserving Inverse Iteration for Finding the Perron Pair
of an Irreducible Nonnegative Third Order Tensor},
journal = {{SIAM} J. Matrix Anal. Appl.},
volume = {37},
number = {3},
pages = {911--932},
year = {2016}
}
@article{DBLP:journals/siammax/Saibaba16,
author = {Arvind K. Saibaba},
title = {{HOID:} Higher Order Interpolatory Decomposition for Tensors Based
on Tucker Representation},
journal = {{SIAM} J. Matrix Anal. Appl.},
volume = {37},
number = {3},
pages = {1223--1249},
year = {2016}
}
@article{DBLP:journals/artmed/FengWRW15,
author = {Yuanjing Feng and
Ye Wu and
Yogesh Rathi and
Carl{-}Fredrik Westin},
title = {Sparse deconvolution of higher order tensor for fiber orientation
distribution estimation},
journal = {Artif. Intell. Medicine},
volume = {65},
number = {3},
pages = {229--238},
year = {2015}
}
@article{DBLP:journals/juq/KressnerKNT15,
author = {Daniel Kressner and
Rajesh Kumar and
Fabio Nobile and
Christine Tobler},
title = {Low-Rank Tensor Approximation for High-Order Correlation Functions
of Gaussian Random Fields},
journal = {{SIAM/ASA} J. Uncertain. Quantification},
volume = {3},
number = {1},
pages = {393--416},
year = {2015}
}
@article{DBLP:journals/axioms/AstolaSHFF14,
author = {Laura Astola and
Neda Sepasian and
Tom C. J. Dela Haije and
Andrea Fuster and
Luc Florack},
title = {A Simplified Algorithm for Inverting Higher Order Diffusion Tensors},
journal = {Axioms},
volume = {3},
number = {4},
pages = {369--379},
year = {2014}
}
@incollection{DBLP:books/daglib/p/HlawitschkaHKMMSSWZ14,
author = {Mario Hlawitschka and
Ingrid Hotz and
Andrea Kratz and
G. Elisabeta Marai and
Rodrigo Moreno and
Gerik Scheuermann and
Markus Stommel and
Alexander Wiebel and
Eugene Zhang},
title = {Top Challenges in the Visualization of Engineering Tensor Fields},
booktitle = {Visualization and Processing of Tensors and Higher Order Descriptors
for Multi-Valued Data},
pages = {3--15},
publisher = {Springer},
year = {2014}
}
@article{DBLP:journals/siammax/DomanovL13,
author = {Ignat Domanov and
Lieven De Lathauwer},
title = {On the Uniqueness of the Canonical Polyadic Decomposition of Third-Order
Tensors - Part {I:} Basic Results and Uniqueness of One Factor Matrix},
journal = {{SIAM} J. Matrix Anal. Appl.},
volume = {34},
number = {3},
pages = {855--875},
year = {2013}
}
@article{DBLP:journals/siammax/DomanovL13a,
author = {Ignat Domanov and
Lieven De Lathauwer},
title = {On the Uniqueness of the Canonical Polyadic Decomposition of Third-Order
Tensors - Part {II:} Uniqueness of the Overall Decomposition},
journal = {{SIAM} J. Matrix Anal. Appl.},
volume = {34},
number = {3},
pages = {876--903},
year = {2013}
}
@article{DBLP:journals/cgf/Schultz11,
author = {Thomas Schultz},
title = {Topological Features in 2D Symmetric Higher-Order Tensor Fields},
journal = {Comput. Graph. Forum},
volume = {30},
number = {3},
pages = {841--850},
year = {2011}
}
@article{DBLP:journals/ijcv/AstolaF11,
author = {Laura Astola and
Luc Florack},
title = {Finsler Geometry on Higher Order Tensor Fields and Applications to
High Angular Resolution Diffusion Imaging},
journal = {Int. J. Comput. Vis.},
volume = {92},
number = {3},
pages = {325--336},
year = {2011}
}
@article{DBLP:journals/cgf/SchultzK10,
author = {Thomas Schultz and
Gordon L. Kindlmann},
title = {A Maximum Enhancing Higher-Order Tensor Glyph},
journal = {Comput. Graph. Forum},
volume = {29},
number = {3},
pages = {1143--1152},
year = {2010}
}
@article{DBLP:journals/siamis/QiYW10,
author = {Liqun Qi and
Gaohang Yu and
Ed X. Wu},
title = {Higher Order Positive Semidefinite Diffusion Tensor Imaging},
journal = {{SIAM} J. Imaging Sci.},
volume = {3},
number = {3},
pages = {416--433},
year = {2010}
}
@article{DBLP:journals/siammax/Lathauwer08,
author = {Lieven De Lathauwer},
title = {Decompositions of a Higher-Order Tensor in Block Terms - Part {I:}
Lemmas for Partitioned Matrices},
journal = {{SIAM} J. Matrix Anal. Appl.},
volume = {30},
number = {3},
pages = {1022--1032},
year = {2008}
}
@article{DBLP:journals/siammax/Lathauwer08a,
author = {Lieven De Lathauwer},
title = {Decompositions of a Higher-Order Tensor in Block Terms - Part {II:}
Definitions and Uniqueness},
journal = {{SIAM} J. Matrix Anal. Appl.},
volume = {30},
number = {3},
pages = {1033--1066},
year = {2008}
}
@article{DBLP:journals/siammax/LathauwerN08,
author = {Lieven De Lathauwer and
Dimitri Nion},
title = {Decompositions of a Higher-Order Tensor in Block Terms - Part {III:}
Alternating Least Squares Algorithms},
journal = {{SIAM} J. Matrix Anal. Appl.},
volume = {30},
number = {3},
pages = {1067--1083},
year = {2008}
}
@article{DBLP:journals/ijcsm/Maubach07,
author = {J. M. L. Maubach},
title = {Almost optimal order approximate inverse based preconditioners for
3-d convection dominated problems on tensor-grids},
journal = {Int. J. Comput. Sci. Math.},
volume = {1},
number = {2/3/4},
pages = {271--292},
year = {2007}
}
@article{DBLP:journals/siammax/KofidisR02,
author = {Eleftherios Kofidis and
Phillip A. Regalia},
title = {On the Best Rank-1 Approximation of Higher-Order Supersymmetric Tensors},
journal = {{SIAM} J. Matrix Anal. Appl.},
volume = {23},
number = {3},
pages = {863--884},
year = {2002}
}
@inproceedings{DBLP:conf/cvpr/TongTM01,
author = {Wai{-}Shun Tong and
Chi{-}Keung Tang and
G{\'{e}}rard G. Medioni},
title = {First Order Tensor Voting, and Application to 3-D Scale Analysis},
booktitle = {{CVPR} {(1)}},
pages = {175},
publisher = {{IEEE} Computer Society},
year = {2001}
}
@article{DBLP:journals/tvcg/HesselinkLL97,
author = {Lambertus Hesselink and
Yuval Levy and
Yingmei Lavin},
title = {The Topology of Symmetric, Second-Order 3D Tensor Fields},
journal = {{IEEE} Trans. Vis. Comput. Graph.},
volume = {3},
number = {1},
pages = {1--11},
year = {1997}
}
@article{DBLP:journals/cvgip/Krishnamurthy84,
author = {Edayathu V. Krishnamurthy},
title = {High-order tensor product approximation for two- and three-dimensional
image blocks with application to multiresolution image representation},
journal = {Comput. Vis. Graph. Image Process.},
volume = {25},
number = {3},
pages = {393--398},
year = {1984}
}
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