# Global Regularity Estimates for Optimal Transport via Entropic Regularisation

arXiv: https://arxiv.org/abs/2501.11382 · HTML: https://mlsanity.com/paper/2501.11382/

## Key facts

- Cited by 1 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 20 Jan 2025.

## Built on by (most cited first, 1 of 1)

- [Near-Lipschitz stability of the Kim--Milman flow map](https://mlsanity.com/paper/2606.23383/) (2026)

## Abstract (arXiv)

We develop a general approach to prove global regularity estimates for quadratic optimal transport using the entropic regularisation of the problem and the Prekopa-Leindler inequality.