• Corpus ID: 235352841

A Scalable Second Order Method for Ill-Conditioned Matrix Completion from Few Samples

  title={A Scalable Second Order Method for Ill-Conditioned Matrix Completion from Few Samples},
  author={Christian K{\"u}mmerle and Claudio Mayrink Verdun},
  booktitle={International Conference on Machine Learning},
We propose an iterative algorithm for low-rank matrix completion that can be interpreted as an iteratively reweighted least squares (IRLS) algorithm, a saddle-escaping smoothing Newton method or a variable metric proximal gradient method applied to a non-convex rank surrogate. It combines the favorable data-efficiency of previous IRLS approaches with an improved scalability by several orders of magnitude. We establish the first local convergence guarantee from a minimal number of samples for… 

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