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An extended block r...
An extended block restricted isometry property for sparse recovery with non-Gaussian noise
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- Leffler, Klara, 1988- (författare)
- Umeå universitet,Institutionen för matematik och matematisk statistik
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- Zhou, Zhiyong (författare)
- Department of Statistics, Zhejiang University City College, China
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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)
- 2020-06
- 2020
- Engelska.
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Ingår i: Journal of Computational Mathematics. - : Global Science Press. - 0254-9409 .- 1991-7139. ; 38:6, s. 827-838
- Relaterad länk:
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https://doi.org/10.4...
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https://global-sci.o...
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https://urn.kb.se/re...
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Abstract
Ämnesord
Stäng
- We study the recovery conditions of weighted mixed ℓ2/ℓp minimization for block sparse signal reconstruction from compressed measurements when partial block supportinformation is available. We show theoretically that the extended block restricted isometry property can ensure robust recovery when the data fidelity constraint is expressed in terms of an ℓq norm of the residual error, thus establishing a setting wherein we arenot restricted to Gaussian measurement noise. We illustrate the results with a series of numerical experiments.
Ämnesord
- TEKNIK OCH TEKNOLOGIER -- Elektroteknik och elektronik -- Signalbehandling (hsv//swe)
- ENGINEERING AND TECHNOLOGY -- Electrical Engineering, Electronic Engineering, Information Engineering -- Signal Processing (hsv//eng)
- 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
- Compressed sensing
- block sparsity
- partial support information
- signal reconstruction
- convex optimization
- matematisk statistik
- Mathematical Statistics
Publikations- och innehållstyp
- ref (ämneskategori)
- art (ämneskategori)
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