Quantitative bounds for high dimensional entropic CLT
Probability
2026-04-08 v1
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 Poincar\'e inequality holds. We compare our results with recent developments to demonstrate the merits of our approach.
Cite
@article{arxiv.2604.05861,
title = {Quantitative bounds for high dimensional entropic CLT},
author = {Chang-song Deng and Lin Wang and Lihu Xu},
journal= {arXiv preprint arXiv:2604.05861},
year = {2026}
}
Comments
20 pages