Concepedia

Tensor Decompositions

Tensor Decompositions is a mathematical framework in numerical linear algebra that generalizes matrix factorization techniques to higher-order tensors by decomposing a tensor into a product of simpler, structured components to reveal latent multilinear relationships.

2.4K

Publications

181K

Citations

4.5K

Authors

1.4K

Institutions

Publications per year

2017–2026

1.2K

Parents

Publications

2.4K

Learning the parts of objects by non-negative matrix factorization

Daniel D. Lee, H. Sebastian Seung · Nature · 1999 · 14.1K citations

, , +11

Tensor Decompositions and Applications

Tamara G. Kolda, Brett W. Bader · SIAM Review · 2009 · 10.5K citations

, , +12

A Multilinear Singular Value Decomposition

Lieven De Lathauwer, Bart De Moor, Joos Vandewalle · SIAM Journal on Matrix Analysis and Applications · 2000 · 4.2K citations · Full text

, , +16

Tensor-Train Decomposition

Ivan Oseledets · SIAM Journal on Scientific Computing · 2011 · 2.6K citations

, , +17

A Three-Way Model for Collective Learning on Multi-Relational Data

Maximilian Nickel, Volker Tresp, Hans‐Peter Kriegel · 2011 · 1.7K citations

, , +10

1–5 of 2.4K

Authors

4.5K

  1. LD
    Lieven De Lathauwer

    KU Leuven, Belgium

    63 publications · 12.4K citations

    36

    h-index

  2. AC
    Andrzej Cichocki

    RIKEN Center for Brain Science, Japan

    69 publications · 6.1K citations

    34

    h-index

  3. LQ
    Liqun Qi

    Hong Kong Polytechnic University, Hong Kong SAR China

    37 publications · 2.3K citations

    26

    h-index

  4. XZ
    Xi-Le Zhao

    University of Electronic Science and Technology of China, China

    31 publications · 2.3K citations

    25

    h-index

  5. QZ
    Qibin Zhao

    RIKEN Center for Advanced Intelligence Project, Japan

    37 publications · 3.3K citations

    24

    h-index

1–5 of 4.5K

Institutions

1.4K

  1. Centre National de la Recherche Scientifique

    Paris, France

    38 h-index

    177 publications

    10.5K citations

  2. University of Electronic Science and Technology of China

    Chengdu, China

    38 h-index

    246 publications

    14.9K citations

  3. KU Leuven

    Leuven, Belgium

    34 h-index

    145 publications

    13.1K citations

  4. Hong Kong Polytechnic University

    Hong Kong, Hong Kong

    32 h-index

    71 publications

    5.1K citations

  5. Carnegie Mellon University

    Pittsburgh, United States

    29 h-index

    76 publications

    9K citations

  6. RIKEN Center for Brain Science

    Wako, Japan

    27 h-index

    81 publications

    14.1K citations

  7. Xi'an Jiaotong University

    Xi'an, China

    27 h-index

    99 publications

    9.3K citations

  8. Chinese Academy of Sciences

    Beijing, China

    26 h-index

    78 publications

    5.5K citations

1–8 of 1.4K

Venues

  1. SIAM Journal on Matrix Analysis and Applications

    88 publications · 15K citations

    47

    h-index

  2. IEEE Transactions on Signal Processing

    88 publications · 7.7K citations

    42

    h-index

  3. 35

    h-index

  4. arXiv (Cornell University)

    Repository · 155 publications · 5.9K citations

    35

    h-index

  5. Linear Algebra and its Applications

    56 publications · 4.3K citations

    31

    h-index

1–5