arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2002.12873cs.LGcs.ITcs.NAmath.ITmath.NAstat.ML
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不完整和损坏数据的联邦空中子空间跟踪

Federated Over-Air Subspace Tracking from Incomplete and Corrupted Data

Iowa State University(爱荷华州立大学)

Praneeth Narayanamurthy, Namrata Vaswani, Aditya Ramamoorthy

摘要:

在这项工作中,我们研究的问题,子空间跟踪缺失数据(ST-错过)和离群值(鲁棒ST-错过)。我们提出了一个新的算法,并提供了这两个问题的保证。与以往的工作不同,目前的工作并没有强加分段常数子空间变化的假设。此外,该算法比我们以前的工作简单得多(使用更少的参数)。其次,我们扩展我们的方法和它的分析,以证明解决这些问题时,数据是联邦和空中数据通信模式用于$K$对等节点和中心之间的信息交换。我们验证了我们的理论主张与广泛的数值实验。

英文摘要:

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.

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。

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