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arXiv · 2503.04100

Improving discrepancy by moving a few points

Gleb Smirnov·Roman Vershynin
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Abstract

We show how to improve the discrepancy of an iid sample by moving only a few points. Specifically, modifying \( O(m) \) sample points on average reduces the Kolmogorov-Smirnov distance to the population distribution to \(1/m\).

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Gleb Smirnov, Roman Vershynin. 2025-09-12. Improving discrepancy by moving a few points. https://arxiv.org/abs/2503.04100

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