Selective erasures for high-dimensional robust subspace tracking

Daniel L. Pimentel-Alarcon

doi:10.1117/12.2311891

14 May 2018 Selective erasures for high-dimensional robust subspace tracking

Daniel L. Pimentel-Alarcon

Proceedings Volume 10658, Compressive Sensing VII: From Diverse Modalities to Big Data Analytics; 1065808 (2018) https://doi.org/10.1117/12.2311891
Event: SPIE Commercial + Scientific Sensing and Imaging, 2018, Orlando, FL, United States

Abstract

This paper presents an online method to track a subspace U from severely corrupted and incomplete data. If we could identify the corrupted entries in a new observation x, then we would be able to update U according to the uncorrupted entries in x using an incomplete-data rank-one update. The challenge is to identify the corrupted entries in x, which is in general NP-hard. To work around this we propose an approach that iteratively removes the entries that most affect partial projections of x onto U. Our experiments show that this simple approach outperforms state-of-the-art methods, including ℓ₁-optimization, specially when most entries in x are corrupted.

Citation Download Citation

Daniel L. Pimentel-Alarcon "Selective erasures for high-dimensional robust subspace tracking", Proc. SPIE 10658, Compressive Sensing VII: From Diverse Modalities to Big Data Analytics, 1065808 (14 May 2018); https://doi.org/10.1117/12.2311891

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