| Polynomial bounds for large Bernoulli sections of $\ell_1^N$ (2006) | |||||||||
Abstract | |||||||||
| We prove a quantitative version of the bound on the smallest singular value of a Bernoulli covariance matrix (due to Bai and Yin). Then we use this bound, together with several recent developments, to show that the distance from a random (1-delta) n - dimensional section of ell_1^n, realised as an image of a sign matrix, to an Euclidean ball is polynomial in 1/delta (and independent of n), with high probability.. Comment: 22 pages | |||||||||
Publication details | |||||||||
| |||||||||