• Corpus ID: 14523288

# Robust Matrix Decomposition with Outliers

@article{Hsu2010RobustMD,
title={Robust Matrix Decomposition with Outliers},
author={Daniel J. Hsu and Sham M. Kakade and Tong Zhang},
journal={ArXiv},
year={2010},
volume={abs/1011.1518}
}
• Published 5 November 2010
• Computer Science
• ArXiv
Suppose a given observation matrix can be decomposed as the sum of a low-rank matrix and a sparse matrix (outliers), and the goal is to recover these individual components from the observed sum. Such additive decompositions have applications in a variety of numerical problems including system identification, latent variable graphical modeling, and principal components analysis. We study conditions under which recovering such a decomposition is possible via a combination of $\ell_1$ norm and…
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