论文标题

统一的差异最小化方法

A Unified Approach to Discrepancy Minimization

论文作者

Bansal, Nikhil, Laddha, Aditi, Vempala, Santosh S.

论文摘要

我们研究了一种基于随机过程的统一方法和算法,以最小化建设性差异。通过改变过程的参数,可以恢复各种最新结果。我们通过得出用于平滑实例的差异来证明该方法的灵活性,该实例在最坏情况和随机实例的已知边界之间进行了插值。

We study a unified approach and algorithm for constructive discrepancy minimization based on a stochastic process. By varying the parameters of the process, one can recover various state-of-the-art results. We demonstrate the flexibility of the method by deriving a discrepancy bound for smoothed instances, which interpolates between known bounds for worst-case and random instances.

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