论文标题
具有1位通信的高维高斯模型中的最佳分布式复合测试
Optimal distributed composite testing in high-dimensional Gaussian models with 1-bit communication
论文作者
论文摘要
在本文中，我们研究了在分布式环境中高斯噪声中信号检测的问题，在该环境中，恒星拓扑中的本地机器可以传达单个信息。我们在欧几里得规范上得出了一个信号为了检测到的欧几里得规范的下限。此外，我们展示了达到下限的最佳分布测试策略。
In this paper we study the problem of signal detection in Gaussian noise in a distributed setting where the local machines in the star topology can communicate a single bit of information. We derive a lower bound on the Euclidian norm that the signal needs to have in order to be detectable. Moreover, we exhibit optimal distributed testing strategies that attain the lower bound.
