A band-limited Fejer-averaged test scheme is claimed to bound the KL-regularized prime-zero optimal transport cost by O(T log^2 T) without the Riemann Hypothesis.
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A Baseline $T\log^2 T$ Upper Bound for KL-Regularized Prime--Zero Optimal Transport
A band-limited Fejer-averaged test scheme is claimed to bound the KL-regularized prime-zero optimal transport cost by O(T log^2 T) without the Riemann Hypothesis.