Reweighted Low-Rank Matrix Recovery and its Application in Image Restoration

@article{Peng2014ReweightedLM,
  title={Reweighted Low-Rank Matrix Recovery and its Application in Image Restoration},
  author={YiGang Peng and Jin-Li Suo and Qionghai Dai and Wenli Xu},
  journal={IEEE Transactions on Cybernetics},
  year={2014},
  volume={44},
  pages={2418-2430}
}
In this paper, we propose a reweighted low-rank matrix recovery method and demonstrate its application for robust image restoration. In the literature, principal component pursuit solves low-rank matrix recovery problem via a convex program of mixed nuclear norm and ℓ1 norm. Inspired by reweighted ℓ1 minimization for sparsity enhancement, we propose reweighting singular values to enhance low rank of a matrix. An efficient iterative reweighting scheme is proposed for enhancing low rank and… CONTINUE READING
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