2000 character limit reached
Information Geometry of smooth densities on the Gaussian space: Poincaré inequalities (2002.12871v2)
Published 28 Feb 2020 in math.ST and stat.TH
Abstract: We derive bounds for the Orlicz norm of the deviation of a random variable defined on $\mathbb{R}n$ from its Gaussian mean value. The random variables are assumed to be smooth and the bound itself depends on the Orlicz norm of the gradient. Applications to non-parametric Information Geometry are discussed.
Sponsor
Paper Prompts
Sign up for free to create and run prompts on this paper using GPT-5.
Top Community Prompts
Collections
Sign up for free to add this paper to one or more collections.