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Recovery analysis f...
Recovery analysis for weighted mixed ℓ2/ℓp minimization with 0 < p ≤ 1
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- Zhou, Zhiyong, 1989- (författare)
- Umeå universitet,Institutionen för matematik och matematisk statistik
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- Yu, Jun, 1962- (författare)
- Umeå universitet,Institutionen för matematik och matematisk statistik,Mathematical Statistics
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(creator_code:org_t)
- Elsevier, 2019
- 2019
- Engelska.
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Ingår i: Journal of Computational and Applied Mathematics. - : Elsevier. - 0377-0427 .- 1879-1778. ; 352, s. 210-222
- Relaterad länk:
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https://arxiv.org/ab...
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visa fler...
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https://urn.kb.se/re...
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https://doi.org/10.1...
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Abstract
Ämnesord
Stäng
- We study the recovery conditions of weighted mixed ℓ2/ℓp (0 < p ≤ 1) minimization for block sparse signal reconstruction from compressed measurements when partial block support information is available. We show that the block p-restricted isometry property (RIP) can ensure the robust recovery. Moreover, we present the sufficient and necessary condition for the recovery by using weighted block p-null space property. The relationship between the block p-RIP and the weighted block p-null space property has been established. Finally, we illustrate our results with a series of numerical experiments.
Ämnesord
- NATURVETENSKAP -- Matematik -- Sannolikhetsteori och statistik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Probability Theory and Statistics (hsv//eng)
- NATURVETENSKAP -- Matematik -- Beräkningsmatematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Computational Mathematics (hsv//eng)
Nyckelord
- Compressive sensing
- Prior support information
- Block sparse
- Non-convex minimization
- matematisk statistik
- Mathematical Statistics
Publikations- och innehållstyp
- ref (ämneskategori)
- art (ämneskategori)
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