Federated Over-Air Subspace Tracking From Incomplete and Corrupted Data
Federated Over-Air Subspace Tracking From Incomplete and Corrupted Data
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DOI：
10.1109/tsp.2022.3186540
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发表时间：
2020-02
影响因子：
5.4
通讯作者：
Praneeth Narayanamurthy;Namrata Vaswani;Aditya Ramamoorthy
中科院分区：
文献类型：
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作者：
Praneeth Narayanamurthy;Namrata Vaswani;Aditya Ramamoorthy
在这项工作中，我们研究了缺少数据（ST-MISS）和离群值（强大的ST-MISS）的子空间跟踪问题。我们提出了一种新颖的算法，并为这两个问题提供了保证。与过去在此主题上的工作不同，当前的工作并未强加分段恒定子空间变化假设。此外，所提出的算法比我们以前的工作要简单得多（使用的参数少）。其次，我们将方法及其分析扩展到在数据联合到数据时解决这些问题，以及使用$ k $对等节点和中心之间的信息交换时，将这些问题扩展到解决这些问题。我们通过广泛的数值实验来验证我们的理论主张。
In this work we study the problem of Subspace Tracking with missing data (ST-miss) and outliers (Robust ST-miss). We propose a novel algorithm, and provide a guarantee for both these problems. Unlike past work on this topic, the current work does not impose the piecewise constant subspace change assumption. Additionally, the proposed algorithm is much simpler (uses fewer parameters) than our previous work. Secondly, we extend our approach and its analysis to provably solving these problems when the data is federated and when the over-air data communication modality is used for information exchange between the $K$ peer nodes and the center. We validate our theoretical claims with extensive numerical experiments.