948 citations
- Centre National de la Recherche ScientifiqueFR158 papers
- Pôle de recherche et d'enseignement supérieur Université Paris-EstFR126 papers
- Université Paris-Est CréteilFR121 papers
- Université Paris CitéFR52 papers
- Laboratoire d'Informatique Gaspard-MongeFR50 papers
- École nationale des ponts et chausséesFR40 papers
- Laboratoire Interuniversitaire des Systèmes AtmosphériquesFR31 papers
- Laboratoire Techniques, Territoires et SociétésFR29 papers
- Laboratoire d’Analyse et de Mathématiques AppliquéesFR27 papers
- Université Paris-SaclayFR26 papers
- CERMICSFR25 papers
- Institut national de recherche en sciences et technologies du numériqueFR23 papers
4 papers · 2 filters
Tail estimates for norms of sums of log-concave random vectors
Radosław Adamczak, Rafał Latała, Alexander E. Litvak +2
We establish new tail estimates for order statistics and for the Euclidean norms of projections of an isotropic log-concave random vector. More generally, we prove tail estimates f…
Chevet type inequality and norms of submatrices
Radosław Adamczak, Rafał Latała, Alexander E. Litvak +2
We prove a Chevet type inequality which gives an upper bound for the norm of an isotropic log-concave unconditional random matrix in terms of expectation of the supremum of "symmet…
A new characterization of Talagrand's transport-entropy inequalities and applications
Nathael Gozlan, Cyril Roberto, Paul-Marie Samson
We show that Talagrand's transport inequality is equivalent to a restricted logarithmic Sobolev inequality. This result clarifies the links between these two important functional i…
Geometry of log-concave Ensembles of random matrices and approximate reconstruction
Radosław Adamczak, Rafał Latała, Alexander E. Litvak +2
We study the Restricted Isometry Property of a random matrix with independent isotropic log-concave rows. To this end, we introduce a parameter that controls uniforml…