# Federated Over-Air Subspace Tracking from Incomplete and Corrupted Data

arXiv: https://arxiv.org/abs/2002.12873 · HTML: https://mlsanity.com/paper/2002.12873/

## Key facts

- Cited by 2 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 28 Feb 2020.

## Built on by (most cited first, 2 of 2)

- [Turning Channel Noise into an Accelerator for Over-the-Air Principal Component Analysis](https://mlsanity.com/paper/2104.10095/) (2021)
- [Byzantine-Resilient Federated PCA and Low Rank Column-wise Sensing](https://mlsanity.com/paper/2309.14512/) (2023)

## Abstract (arXiv)

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.