181 citations · 217 across the 7 of their papers we have counts for
5 papers · 1 filter
On partition functions of Gaussian random variables
Omer Friedland, Olivier Guédon, Fabien Souli
For , we define the partition function of a centered Gaussian random vector with $\mathbb{E}[X_i^2]=…
Sparsity and non-Euclidean embeddings
Omer Friedland, Olivier Guédon
We present a relation between sparsity and non-Euclidean isomorphic embeddings. We introduce a general restricted isomorphism property and show how it enables to construct embeddin…
Interpolating Thin-Shell and Sharp Large-Deviation Estimates For Isotropic Log-Concave Measures
Olivier Guédon, Emanuel Milman
Given an isotropic random vector with log-concave density in Euclidean space $\Real^n$, we study the concentration properties of on all scales, both above and below its e…
Majorizing measures and proportional subsets of bounded orthonormal systems
Olivier Guedon, Shahar Mendelson, Alain Pajor +1
In this article we prove that for any orthonormal system $(\vphi_j)_{j=1}^n \subset L_2$ that is bounded in , and any , there exists a subset of cardinali…
L_p moments of random vectors via majorizing measures
Olivier Guedon, Mark Rudelson
For a random vector X in R^n, we obtain bounds on the size of a sample, for which the empirical p-th moments of linear functionals are close to the exact ones uniformly on an n-dim…