Low-rank approximation (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Low-rank approximation" in English language version.

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arxiv.org

  • Clarkson, Kenneth L.; Woodruff, David P. (2013). Low Rank Approximation and Regression in Input Sparsity Time. STOC '13 Proceedings of the forty-fifth annual ACM symposium on Theory of Computing. arXiv:1207.6365.
  • Nelson, Jelani; Nguyen, Huy L. (2013). OSNAP: Faster numerical linear algebra algorithms via sparser subspace embeddings. FOCS '13. arXiv:1211.1002.
  • Song, Zhao; Woodruff, David P.; Zhong, Peilin (2017). Low Rank Approximation with Entrywise L1-Norm Error. STOC '17 Proceedings of the forty-ninth annual ACM symposium on Theory of Computing. arXiv:1611.00898.
  • Bringmann, Karl; Kolev, Pavel; Woodruff, David P. (2017). Approximation Algorithms for L0-Low Rank Approximation. NIPS'17. arXiv:1710.11253.
  • Chierichetti, Flavio; Gollapudi, Sreenivas; Kumar, Ravi; Lattanzi, Silvio; Panigrahy, Rina; Woodruff, David P. (2017). Algorithms for Lp Low-Rank Approximation. ICML'17. arXiv:1705.06730.
  • Bakshi, Ainesh L.; Woodruff, David P. (2018). Sublinear Time Low-Rank Approximation of Distance Matrices. NeurIPS. arXiv:1809.06986.
  • Boutsidis, Christos; Woodruff, David P.; Zhong, Peilin (2016). Optimal Principal Component Analysis in Distributed and Streaming Models. STOC. arXiv:1504.06729.

doi.org

  • E. Schmidt, Zur Theorie der linearen und nichtlinearen Integralgleichungen, Math. Annalen 63 (1907), 433-476. doi:10.1007/BF01449770
  • C. Eckart, G. Young, The approximation of one matrix by another of lower rank. Psychometrika, Volume 1, 1936, Pages 211–8. doi:10.1007/BF02288367
  • L. Mirsky, Symmetric gauge functions and unitarily invariant norms, Q.J. Math. 11 (1960), 50-59. doi:10.1093/qmath/11.1.50
  • Chu, Moody T.; Funderlic, Robert E.; Plemmons, Robert J. (2003). "structured low-rank approximation". Linear Algebra and Its Applications. 366: 157–172. doi:10.1016/S0024-3795(02)00505-0.

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