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Performance Guarant...
Performance Guaranteesfor Schatten-p Quasi-Norm Minimization in Recovery of Low-Rank Matrices
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Malek Mohammadi, Mohammadreza (author)
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Babaie-Zadeh, Massoud (author)
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- Skoglund, Mikael (author)
- KTH,Kommunikationsteori,ACCESS Linnaeus Centre
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(creator_code:org_t)
- Elsevier BV, 2015
- 2015
- English.
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In: Signal Processing. - : Elsevier BV. - 0165-1684 .- 1872-7557. ; 114, s. 225-230
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Abstract
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- 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.
Subject headings
- TEKNIK OCH TEKNOLOGIER -- Elektroteknik och elektronik -- Signalbehandling (hsv//swe)
- ENGINEERING AND TECHNOLOGY -- Electrical Engineering, Electronic Engineering, Information Engineering -- Signal Processing (hsv//eng)
Publication and Content Type
- ref (subject category)
- art (subject category)
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