Federated Over-Air Robust Subspace Tracking from Missing Data

Robust Subspace Tracking with missing data (RST-miss) has been extensively studied in the past decade. In this work we study RST-miss to the setting where the data is federated and when the over-air data communication modality is used for information exchange between the K peer nodes and the central server. To the best of our knowledge, there is no existing work in the literature. To this end, we develop the first fast, and provable algorithm that solves RST-miss in a federated over-air setting. We corroborate our theoretical claims with extensive numerical simulations.

在过去十年中，针对缺失数据的稳健子空间跟踪（RST - miss）已得到广泛研究。在这项工作中，我们针对数据是联邦式的且通过无线数据通信方式在K个对等节点和中央服务器之间进行信息交换的情况研究RST - miss。据我们所知，文献中尚无相关工作。为此，我们开发了第一种快速且可证明的算法，用于解决联邦无线设置中的RST - miss问题。我们通过大量的数值模拟验证了我们的理论主张。