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  • Malek Mohammadi, Mohammadreza, et al. (author)
  • Performance Guaranteesfor Schatten-p Quasi-Norm Minimization in Recovery of Low-Rank Matrices
  • 2015
  • In: Signal Processing. - : Elsevier BV. - 0165-1684 .- 1872-7557. ; 114, s. 225-230
  • Journal article (peer-reviewed)abstract
    • We address some theoretical guarantees for Schatten-p   quasi-norm minimization (p∈(0,1]p∈(0,1]) in recovering low-rank matrices from compressed linear measurements. Firstly, using null space properties of the measurement operator, we provide a sufficient condition for exact recovery of low-rank matrices. This condition guarantees unique recovery of matrices of ranks equal or larger than what is guaranteed by nuclear norm minimization. Secondly, this sufficient condition leads to a theorem proving that all restricted isometry property (RIP) based sufficient conditions for ℓpℓp quasi-norm minimization generalize to Schatten-p quasi-norm minimization. Based on this theorem, we provide a few RIP-based recovery conditions.
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Type of publication
journal article (1)
Type of content
peer-reviewed (1)
Author/Editor
Skoglund, Mikael (1)
Babaie-Zadeh, Massou ... (1)
Malek-Mohammadi, Moh ... (1)
University
Royal Institute of Technology (1)
Language
English (1)
Research subject (UKÄ/SCB)
Engineering and Technology (1)
Year
2015 (1)

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