Add to ORKGInternational audienceAn elementary proof is provided of sharp bounds for the varentropy of random vectors with log-concave densities, as well as for deviations of the information content from its mean. These bounds significantly improve on the bounds obtained by Bobkov and Madiman (Ann. Probab., 39(4):1528–1543, 2011)
Abstract. We prove, using optimal transport tools, weighted Poincare ́ inequalities for log-concave ...
We study the adaptation properties of the multivariate log-concave maximum likelihood estimator over...
The estimation of a log-concave density on Rd represents a central problem in the area of nonparamet...
International audienceAn elementary proof is provided of sharp bounds for the varentropy of random v...
Abstract. Given an isotropic random vector X with log-concave density in Eu-clidean space Rn, we stu...
AbstractA weak version of a conjecture stated by Kannan, Lovász and Simonovits claims that an isotro...
International audienceChaining techniques show that if X is an isotropic log-concave random vector i...
AbstractWe establish upper bounds for tails of order statistics of isotropic log-concave vectors and...
Information concentration of probability measures have important implications in learning theory. Re...
We utilize and extend a simple and classical mechanism, combining log-concavity and majorization in ...
We establish new tail estimates for order statistics and for the Euclidean norms of projections of a...
in Lectures Notes in Mathematics, n°2116Chaining techniques show that if X is an isotropic log-conca...
International audienceWe establish new tail estimates for order statistics and for the Euclidean nor...
We derive a lower bound on the differential entropy of a log-concave random variable X in terms of t...
The log-concave maximum likelihood estimator of a density on the real line based on a sample of size...
Abstract. We prove, using optimal transport tools, weighted Poincare ́ inequalities for log-concave ...
We study the adaptation properties of the multivariate log-concave maximum likelihood estimator over...
The estimation of a log-concave density on Rd represents a central problem in the area of nonparamet...
International audienceAn elementary proof is provided of sharp bounds for the varentropy of random v...
Abstract. Given an isotropic random vector X with log-concave density in Eu-clidean space Rn, we stu...
AbstractA weak version of a conjecture stated by Kannan, Lovász and Simonovits claims that an isotro...
International audienceChaining techniques show that if X is an isotropic log-concave random vector i...
AbstractWe establish upper bounds for tails of order statistics of isotropic log-concave vectors and...
Information concentration of probability measures have important implications in learning theory. Re...
We utilize and extend a simple and classical mechanism, combining log-concavity and majorization in ...
We establish new tail estimates for order statistics and for the Euclidean norms of projections of a...
in Lectures Notes in Mathematics, n°2116Chaining techniques show that if X is an isotropic log-conca...
International audienceWe establish new tail estimates for order statistics and for the Euclidean nor...
We derive a lower bound on the differential entropy of a log-concave random variable X in terms of t...
The log-concave maximum likelihood estimator of a density on the real line based on a sample of size...
Abstract. We prove, using optimal transport tools, weighted Poincare ́ inequalities for log-concave ...
We study the adaptation properties of the multivariate log-concave maximum likelihood estimator over...
The estimation of a log-concave density on Rd represents a central problem in the area of nonparamet...