A NOTE ON THE SPECTRAL GAP FOR LOG-CONCAVE PROBABILITY MEASURES ON CONVEX BODIES - ANR - Agence nationale de la recherche Accéder directement au contenu
Pré-Publication, Document De Travail Année : 2023

A NOTE ON THE SPECTRAL GAP FOR LOG-CONCAVE PROBABILITY MEASURES ON CONVEX BODIES

Michel Bonnefont
Aldéric Joulin

Résumé

Motivated by some statistical issues derived from Global Sensitivity Analysis, we provide explicit lower bounds with respect to some quantities of interest (parameters of the underlying distribution, dimension, geometrical characteristics of the domain, etc.) on the spectral gap of log-concave probability measures on convex bodies. Our results are illustrated by some classical and less classical examples.
Fichier principal
Vignette du fichier
bj_boundary.pdf (279.97 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)

Dates et versions

hal-03979877 , version 1 (09-02-2023)
hal-03979877 , version 2 (15-03-2024)

Identifiants

Citer

Michel Bonnefont, Aldéric Joulin. A NOTE ON THE SPECTRAL GAP FOR LOG-CONCAVE PROBABILITY MEASURES ON CONVEX BODIES. 2023. ⟨hal-03979877v1⟩
16 Consultations
93 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More