Smallest singular value of random matrices with independent columns

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Adamczak, Radosław, et al. “Smallest Singular Value of Random Matrices With Independent Columns”. Comptes Rendus. Mathématique, vol. 346, no. 15-16, 2008, pp. 853-6, https://doi.org/10.1016/j.crma.2008.07.011.
Adamczak, R., Guédon, O., Litvak, A., Pajor, A., & Tomczak-Jaegermann, N. (2008). Smallest singular value of random matrices with independent columns. Comptes Rendus. Mathématique, 346(15-16), 853-856. https://doi.org/10.1016/j.crma.2008.07.011
Adamczak, Radosław, Olivier Guédon, Alexander Litvak, Alain Pajor, and Nicole Tomczak-Jaegermann. “Smallest Singular Value of Random Matrices With Independent Columns”. Comptes Rendus. Mathématique 346, no. 15-16 (2008): 853-56. https://doi.org/10.1016/j.crma.2008.07.011.
Adamczak R, Guédon O, Litvak A, Pajor A, Tomczak-Jaegermann N. Smallest singular value of random matrices with independent columns. Comptes Rendus. Mathématique. 2008;346(15-16):853-6.
Refrences
Title Journal Journal Categories Citations Publication Date
The Littlewood–Offord problem and invertibility of random matrices Advances in Mathematics
  • Science: Mathematics
175 2008
Invertibility of random matrices: norm of the inverse Annals of Mathematics
  • Science: Mathematics
56 2008
Lp-moments of random vectors via majorizing measures Advances in Mathematics
  • Science: Mathematics
19 2007
Sampling convex bodies: a random matrix approach Proceedings of the American Mathematical Society
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
2007
On singular values of matrices with independent rows Bernoulli
  • Science: Mathematics: Probabilities. Mathematical statistics
  • Science: Mathematics
24 2006
Refrences Analysis
The category Science: Mathematics 6 is the most frequently represented among the references in this article. It primarily includes studies from Advances in Mathematics The chart below illustrates the number of referenced publications per year.
Refrences used by this article by year
Citations
Title Journal Journal Categories Citations Publication Date
Random sections of ellipsoids and the power of random information

Transactions of the American Mathematical Society
  • Science: Mathematics
13 2021
Concentration inequalities for random tensors Bernoulli
  • Science: Mathematics: Probabilities. Mathematical statistics
  • Science: Mathematics
1 2020
Polynomial Threshold Functions, Hyperplane Arrangements, and Random Tensors SIAM Journal on Mathematics of Data Science
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
2019
A simple observation on random matrices with continuous diagonal entries Electronic Communications in Probability 2013
On the expectation of the norm of random matrices with non-identically distributed entries Electronic Journal of Probability
  • Science: Mathematics: Probabilities. Mathematical statistics
  • Science: Mathematics
2013
Citations Analysis
The category Science: Mathematics 7 is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled On the Marchenko-Pastur and Circular Laws for some Classes of Random Matrices with Dependent Entries and was published in 2011. The most recent citation comes from a 2021 study titled Random sections of ellipsoids and the power of random information. This article reached its peak citation in 2011, with 3 citations. It has been cited in 7 different journals, 14% of which are open access. Among related journals, the Electronic Journal of Probability cited this research the most, with 2 citations. The chart below illustrates the annual citation trends for this article.
Citations used this article by year