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Robust Low-Rank Matrix Completion via a New Sparsity-Inducing Regularizer
  • Zhi-Yong Wang ,
  • Hing Cheung so ,
  • Abdelhak M. Zoubir
Zhi-Yong Wang
CityU

Corresponding Author:[email protected]

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Hing Cheung so
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Abdelhak M. Zoubir
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Abstract

This paper presents a novel loss function referred to as hybrid ordinary-Welsch (HOW) and a new sparsity-inducing regularizer associated with HOW. We theoretically show that the regularizer is quasiconvex and that the corresponding Moreau envelope is convex. Moreover, the closed-form solution to its Moreau envelope, namely, the proximity operator, is derived. Compared with nonconvex regularizers like the lp-norm with 0