Algebraic-Combinatorial Methods for Low-Rank Matrix Completion with   Application to Athletic Performance Prediction
  This paper presents novel algorithms which exploit the intrinsic algebraic and combinatorial structure of the matrix completion task for estimating missing en- tries in the general low rank setting. For positive data, we achieve results out- performing the state of the art nuclear norm, both in accuracy and computational efficiency, in simulations and in the task of predicting athletic performance from partially observed data. 
Duncan A.J. Blythe, Louis Theran, Franz Kiraly
stat.ML