Concepedia

Low-rank Approximation

Low-Rank Approximation is a matrix approximation technique in numerical linear algebra that replaces a given matrix with a lower-rank matrix to minimize approximation error, typically by capturing dominant singular components while discarding less significant ones.

3.6K

Publications

284K

Citations

7.4K

Authors

1.7K

Institutions

Publications per year

2017–2026

1.6K

Parents

Publications

3.6K

Robust principal component analysis?

Emmanuel J. Candès, Xiaodong Li, Yi Ma et al. · Journal of the ACM · 2011 · 6.9K citations

, , +16

A Singular Value Thresholding Algorithm for Matrix Completion

Jian‐Feng Cai, Emmanuel J. Candès, Zuowei Shen · SIAM Journal on Optimization · 2010 · 5.9K citations

, , +16

Exact Matrix Completion via Convex Optimization

Emmanuel J. Candès, Benjamin Recht · Foundations of Computational Mathematics · 2009 · 5.1K citations · Full text

, , +15

Finding Structure with Randomness: Probabilistic Algorithms for Constructing Approximate Matrix Decompositions

Nathan Halko, Per‐Gunnar Martinsson, Joel A. Tropp · SIAM Review · 2011 · 4.1K citations

, , +16

The Approximation of One Matrix by Another of Lower Rank

Carl Eckart, Gale Young · Psychometrika · 1936 · 3.8K citations

, , +9

1–5 of 3.6K

Authors

7.4K

  1. ZL
    Zhouchen Lin

    Peking University, China

    27 publications · 9.9K citations

    24

    h-index

  2. XZ
    Xi-Le Zhao

    University of Electronic Science and Technology of China, China

    27 publications · 1.7K citations

    24

    h-index

  3. YM
    Yi Ma

    University of Illinois Urbana-Champaign, United States

    24 publications · 15.5K citations

    22

    h-index

  4. SY
    Shuicheng Yan

    National University of Singapore, Singapore

    24 publications · 6.2K citations

    21

    h-index

  5. TH
    Ting‐Zhu Huang

    University of Electronic Science and Technology of China, China

    22 publications · 1.5K citations

    20

    h-index

1–5 of 7.4K

Institutions

1.7K

  1. Stanford University

    Stanford, United States

    41 h-index

    152 publications

    41.7K citations

  2. University of Electronic Science and Technology of China

    Chengdu, China

    40 h-index

    251 publications

    14.2K citations

  3. Chinese Academy of Sciences

    Beijing, China

    39 h-index

    232 publications

    13.1K citations

  4. Massachusetts Institute of Technology

    Cambridge, United States

    38 h-index

    138 publications

    17.1K citations

  5. Xidian University

    Xi'an, China

    35 h-index

    162 publications

    9.3K citations

  6. The University of Texas at Austin

    Austin, United States

    34 h-index

    131 publications

    11.1K citations

  7. National University of Singapore

    Singapore, Singapore

    34 h-index

    106 publications

    15.8K citations

  8. University of Illinois Urbana-Champaign

    Urbana, United States

    34 h-index

    106 publications

    28.1K citations

1–8 of 1.7K

Venues

  1. arXiv (Cornell University)

    Repository · 284 publications · 13.6K citations

    52

    h-index

  2. SIAM Journal on Matrix Analysis and Applications

    127 publications · 11.1K citations

    49

    h-index

  3. 47

    h-index

  4. IEEE Transactions on Signal Processing

    99 publications · 7.4K citations

    46

    h-index

  5. IEEE Transactions on Image Processing

    76 publications · 7.9K citations

    43

    h-index

1–5