Smallest singular value of a random rectangular matrix

By Mark Rudelson, Roman Vershynin. 2009

58 citations recorded by the source corpus.

Subfields: Applied Mathematics, Discrete Mathematics and Combinatorics, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/e77e907fdd4d16b5abc3e5e0b46174d4df7bbb65

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. Roman Vershynin
2. Jaouad Mourtada
3. Mark Rudelson
4. Konstantin E. Tikhomirov
5. Van H. Vu
6. Karim Lounici
7. Terence Tao
8. Ramon van Handel

In Discrete Mathematics and Combinatorics

1. Jaouad Mourtada
2. Roman Vershynin
3. Mark Rudelson
4. Konstantin E. Tikhomirov
5. Van H. Vu
6. Terence Tao
7. Hoi H. Nguyen
8. Nicholas A. Cook

In Statistics and Probability

1. Jaouad Mourtada
2. Roman Vershynin
3. Mark Rudelson
4. Konstantin E. Tikhomirov
5. Van H. Vu
6. Nicholas A. Cook
7. Terence Tao
8. Hoi H. Nguyen

Citations in the corpus

• Exact minimax risk for linear least squares, and the lower tail of sample covariance matrices (2019, methodology): “[67, 68, 57, 58] studied anticoncentration for variables of the form 〈θ,X〉, and deduced estimates of the smallest singular value of random matrices.”
• Non-asymptotic theory of random matrices: extreme singular values (2010, methodology): “Here we state and sketch a proof of a general Littlewood-Offord type result from [67].”