A Baseline $T\log^2 T$ Upper Bound for KL-Regularized Prime--Zero Optimal Transport
Number Theory
2025-09-10 v1 Classical Analysis and ODEs
Probability
Abstract
We prove that unconditionally via a band-limited test scheme with Fej\'er averaging. The approach normalizes to ensure and , and applies an -controlled smoothed explicit formula to bound the error terms. As a result, the prime--zero optimal transport distance admits the baseline upper bound without additional assumptions.
Cite
@article{arxiv.2509.07329,
title = {A Baseline $T\log^2 T$ Upper Bound for KL-Regularized Prime--Zero Optimal Transport},
author = {Zhejun Yang},
journal= {arXiv preprint arXiv:2509.07329},
year = {2025}
}