Tensor Versus Matrix Completion: A Comparison With Application to Spectral Data

@article{Signoretto2011TensorVM,
  title={Tensor Versus Matrix Completion: A Comparison With Application to Spectral Data},
  author={Marco Signoretto and Raf Van de Plas and Bart De Moor and Johan A. K. Suykens},
  journal={IEEE Signal Processing Letters},
  year={2011},
  volume={18},
  pages={403-406}
}
Tensor completion recently emerged as a generalization of matrix completion for higher order arrays. This problem formulation allows one to exploit the structure of data that intrinsically have multiple dimensions. In this work, we recall a convex formulation for minimum (multilinear) ranks completion of arrays of arbitrary order. Successively we focus on completion of partially observed spectral images; the latter can be naturally represented as third order tensors and typically exhibit… CONTINUE READING
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