Nonconvex Low-Rank Tensor Completion from Noisy Data

Changxiao Cai, Gen Li, H. Vincent Poor, Yuxin Chen

Neural Information Processing Systems 

Focusing on "incoherent" and well-conditioned tensors of a constant CP rank, we propose a two-stage nonconvex algorithm -- (vanilla) gradient descent following a rough initialization -- that achieves the best of both worlds.