89 citations · 197 across the 11 of their papers we have counts for
13 papers
On one dimensional weighted Poincare inequalities for Global Sensitivity Analysis
David Heredia, Aldéric Joulin, Olivier Roustant
One-dimensional Poincare inequalities are used in Global Sensitivity Analysis (GSA) to provide derivative-based upper bounds and approximations of Sobol indices. We add new perspec…
A note on the spectral gap for log-concave probability measures on convex bodies
Michel Bonnefont, Aldéric Joulin
In this paper, we provide explicit lower bounds with respect to some quantities of interest (parameters of the underlying distribution, dimension, geometrical characteristics of th…
A note on eigenvalues estimates for one-dimensional diffusion operators
Michel Bonnefont, Aldéric Joulin
Dealing with one-dimensional diffusion operators, we obtain upper and lower variational formulae on the eigenvalues given by the max-min principle, generalizing the celebrated resu…
Intertwinings, second-order Brascamp-Lieb inequalities and spectral estimates
Michel Bonnefont, Aldéric Joulin
We explore the consequences of the so-called intertwinings between gradients and Markov diffusion operators on in terms of second-order Brascamp-Lieb inequalities for log-con…
Intertwinings and Generalized Brascamp-Lieb Inequalities
Marc Arnaudon, Michel Bonnefont, Aldéric Joulin
We continue our investigation of the intertwining relations for Markov semigroups and extend the results of [9] to multi-dimensional diffusions. In particular these formulae entail…
A note on spectral gap and weighted Poincaré inequalities for some one-dimensional diffusions
Michel Bonnefont, Aldéric Joulin, Yutao Ma
We present some classical and weighted Poincaré inequalities for some one-dimensional probability measures. This work is the one-dimensional counterpart of a recent study achieved…