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Performance Guarant...
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Malek Mohammadi, Mohammadreza
(author)
Performance Guaranteesfor Schatten-p Quasi-Norm Minimization in Recovery of Low-Rank Matrices
- Article/chapterEnglish2015
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Elsevier BV,2015
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LIBRIS-ID:oai:DiVA.org:kth-165467
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https://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-165467URI
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https://doi.org/10.1016/j.sigpro.2015.02.025DOI
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Language:English
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Summary in:English
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Subject category:ref swepub-contenttype
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Subject category:art swepub-publicationtype
Notes
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QC 20150513
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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.
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Babaie-Zadeh, Massoud
(author)
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Skoglund, MikaelKTH,Kommunikationsteori,ACCESS Linnaeus Centre(Swepub:kth)u1dbnyps
(author)
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KTHKommunikationsteori
(creator_code:org_t)
Related titles
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In:Signal Processing: Elsevier BV114, s. 225-2300165-16841872-7557
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