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stat.ML2017★ 16 cited
On Polynomial Time Methods for Exact Low Rank Tensor Completion
Dong Xia, Ming Yuan
In this paper, we investigate the sample size requirement for exact recovery of a high order tensor of low rank from a subset of its entries. We show that a gradient descent algori…
stat.ML2016
Estimation of low rank density matrices: bounds in Schatten norms and other distances
Dong Xia, Vladimir Koltchinskii
Let be the set of all density matrices (Hermitian positively semi-definite matrices of unit trace). Consider a problem of estimation of an unknown dens…