5 citations · 11 across the 3 of their papers we have counts for
3 papers
cs.LG2017★ 1 cited
Rank Determination for Low-Rank Data Completion
Morteza Ashraphijuo, Xiaodong Wang, Vaneet Aggarwal
Recently, fundamental conditions on the sampling patterns have been obtained for finite completability of low-rank matrices or tensors given the corresponding ranks. In this paper,…
cs.LG2017★ 5 cited
Fundamental Conditions for Low-CP-Rank Tensor Completion
Morteza Ashraphijuo, Xiaodong Wang
We consider the problem of low canonical polyadic (CP) rank tensor completion. A completion is a tensor whose entries agree with the observed entries and its rank matches the given…
cs.LG2017★ 5 cited
Characterization of Deterministic and Probabilistic Sampling Patterns for Finite Completability of Low Tensor-Train Rank Tensor
Morteza Ashraphijuo, Xiaodong Wang
In this paper, we analyze the fundamental conditions for low-rank tensor completion given the separation or tensor-train (TT) rank, i.e., ranks of unfoldings. We exploit the algebr…