On singular values of matrices with independent rows

Article Properties
  • DOI (url)
    10.3150/bj/1161614945
  • Publication Date
    2006/10/01
  • Journal
    Bernoulli
  • Indian UGC (journal)
  • Refrences
    23
  • Citations
    24
  • Shahar Mendelson Centre for Mathematics and its Applications, Institute of Advanced Studies
  • Alain Pajor Equipe d'Analyse et Mathématiques Appliquées, Université de Marne-la-Vallée
Cite
Mendelson, Shahar, and Alain Pajor. “On Singular Values of Matrices With Independent Rows”. Bernoulli, vol. 12, no. 5, 2006, https://doi.org/10.3150/bj/1161614945.
Mendelson, S., & Pajor, A. (2006). On singular values of matrices with independent rows. Bernoulli, 12(5). https://doi.org/10.3150/bj/1161614945
Mendelson, Shahar, and Alain Pajor. “On Singular Values of Matrices With Independent Rows”. Bernoulli 12, no. 5 (2006). https://doi.org/10.3150/bj/1161614945.
Mendelson S, Pajor A. On singular values of matrices with independent rows. Bernoulli. 2006;12(5).
Journal Categories
Science
Mathematics
Science
Mathematics
Probabilities
Mathematical statistics
Refrences
Title Journal Journal Categories Citations Publication Date
10.1070/SM1989v064n01ABEH003295
10.1007/978-1-4612-5985-5
Concentration Property on Probability Spaces Advances in Mathematics
  • Science: Mathematics
 27 2000
10.1007/978-1-4612-0537-1
10.1016/S1874-5849(01)80010-3
Citations
Title Journal Journal Categories Citations Publication Date
A sharp upper bound for sampling numbers in L2 Applied and Computational Harmonic Analysis
  • Science: Mathematics
  • Technology: Engineering (General). Civil engineering (General)
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
 16 2023
Sampling discretization and related problems Journal of Complexity
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
  • Science: Mathematics
  • Technology: Engineering (General). Civil engineering (General)
 20 2022
A Sharp Upper Bound for Sampling Numbers in $L_2$ SSRN Electronic Journal 1 2022
A New Upper Bound for Sampling Numbers

 Foundations of Computational Mathematics
  • Science: Mathematics: Instruments and machines: Electronic computers. Computer science
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
 18 2021
$$L_2$$-norm sampling discretization and recovery of functions from RKHS with finite trace

 Sampling Theory, Signal Processing, and Data Analysis
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
 11 2021
Citations Analysis
Category Category Repetition
Science: Mathematics20
Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods9
Science: Mathematics: Probabilities. Mathematical statistics5
Technology: Engineering (General). Civil engineering (General)5
Science: Mathematics: Instruments and machines: Electronic computers. Computer science3
Social Sciences: Economic theory. Demography: Economics as a science1
Social Sciences: Statistics1
Social Sciences: Commerce: Business1
Social Sciences: Commerce: Business: Accounting. Bookkeeping1
Social Sciences: Finance1
The category Science: Mathematics 20 is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled Smallest singular value of random matrices with independent columns and was published in 2008. The most recent citation comes from a 2023 study titled A sharp upper bound for sampling numbers in L2. This article reached its peak citation in 2021, with 3 citations. It has been cited in 18 different journals, 5% of which are open access. Among related journals, the Journal of Complexity cited this research the most, with 3 citations. The chart below illustrates the annual citation trends for this article.
Citations used this article by year