Year: 2026
Type: preprint
Abstract: By extending the Johnson--Barron projection method from one dimension to high dimensions and utilizing a Wang type dimension-free Harnack inequality, we obtain a new quantitative bound for the entropic central limit theorem under the assumption that the Poincaré inequality holds. We compare our results with recent developments to demonstrate the merits of our approach.
Source: arXiv (Cornell University)
Authors: Deng, Chang-song, Wang, Lin, Xu, Lihu
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
Award: G2065243918
OpenAlex ID: W7151872017
Cites:
Cited by:
Related to: