论文标题
分布式的广义电线流，用于网络上的干涉成像
Distributed Generalized Wirtinger Flow for Interferometric Imaging on Networks
论文作者
论文摘要
我们研究了网络上分散的干涉成像的问题，在该网络上，代理可以访问局部雷达测量的一部分，并可以计算与邻居的配对相关性。我们提出了一种称为分布式通用电线流（DGWF）的原始双重分布式算法。我们使用低等级基质恢复的理论来显示何时干涉成像问题满足规律性条件，这意味着polyak-lojasiewicz不平等。此外，我们表明DGWF对光滑函数进行几何收敛。单场雷达干涉成像的数值仿真表明，DGWF可以实现与其集中式的均值误差图像重建质量相同的均值错误图像重建质量，以实现各种网络连接性和大小的集中式质量。
We study the problem of decentralized interferometric imaging over networks, where agents have access to a subset of local radar measurements and can compute pair-wise correlations with their neighbors. We propose a primal-dual distributed algorithm named Distributed Generalized Wirtinger Flow (DGWF). We use the theory of low rank matrix recovery to show when the interferometric imaging problem satisfies the Regularity Condition, which implies the Polyak-Lojasiewicz inequality. Moreover, we show that DGWF converges geometrically for smooth functions. Numerical simulations for single-scattering radar interferometric imaging demonstrate that DGWF can achieve the same mean-squared error image reconstruction quality as its centralized counterpart for various network connectivity and size.
