Uniqueness of Low-Rank Matrix Completion by Rigidity Theory

@article{Singer2010UniquenessOL,
  title={Uniqueness of Low-Rank Matrix Completion by Rigidity Theory},
  author={Amit Singer and Mihai Cucuringu},
  journal={SIAM J. Matrix Analysis Applications},
  year={2010},
  volume={31},
  pages={1621-1641}
}
The problem of completing a low-rank matrix from a subset of its entries is often encountered in the analysis of incomplete data sets exhibiting an underlying factor model with applications in collaborative filtering, computer vision, and control. Most recent work has been focused on constructing efficient algorithms for exact or approximate recovery of the missing matrix entries and proving lower bounds for the number of known entries that guarantee a successful recovery with high probability… CONTINUE READING
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