指标和的稀疏覆盖
Sparse Covers for Sums of Indicators
摘要：
对于所有的$n, ε>0$，我们证明了$n$变量上的Poisson二项分布集在大小为$n^2+n \cdot (1/ε)^{O(\log^2 (1/ε))}$的全变差距离中有一个适当的$ε$ -覆盖，这也可以在多项式时间内计算。我们讨论了我们的建设的影响，近似算法和计算近似纳什均衡匿名游戏。
英文摘要：
For all $n, ε>0$, we show that the set of Poisson Binomial distributions on $n$ variables admits a proper $ε$-cover in total variation distance of size $n^2+n \cdot (1/ε)^{O(\log^2 (1/ε))}$, which can also be computed in polynomial time. We discuss the implications of our construction for approximation algorithms and the computation of approximate Nash equilibria in anonymous games.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
