A Numerical Exploration of Compressed Sampling Recovery
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | DOSSAL, Charles | |
| hal.structure.identifier | CEntre de REcherches en MAthématiques de la DEcision [CEREMADE] | |
| dc.contributor.author | PEYRÉ, Gabriel | |
| hal.structure.identifier | Equipe Image - Laboratoire GREYC - UMR6072 | |
| dc.contributor.author | FADILI, Jalal M. | |
| dc.date.accessioned | 2024-04-04T02:31:43Z | |
| dc.date.available | 2024-04-04T02:31:43Z | |
| dc.date.created | 2009-06 | |
| dc.date.issued | 2010-03 | |
| dc.identifier.issn | 0024-3795 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/190328 | |
| dc.description.abstractEn | This paper explores numerically the efficiency of L1 minimization for the recovery of sparse signals from compressed sampling measurements in the noiseless case. This numerical exploration is driven by a new greedy pursuit algorithm that computes sparse vectors that are difficult to recover by L1 minimization. The supports of these pathological vectors are also used to select sub-matrices that are ill-conditionned. This allows us to challenge theoretical identifiability criteria based on polytopes analysis and on restricted isometry conditions. We evaluate numerically the theoretical analysis without resorting to Monte-Carlo sampling, which tends to avoid worst case scenarios. | |
| dc.language.iso | en | |
| dc.publisher | Elsevier | |
| dc.subject.en | polytopes | |
| dc.subject.en | Compressed sensing | |
| dc.subject.en | L1 minimization | |
| dc.subject.en | restricted isometry constant | |
| dc.subject.en | polytopes. | |
| dc.title.en | A Numerical Exploration of Compressed Sampling Recovery | |
| dc.type | Article de revue | |
| dc.identifier.doi | 10.1016/j.laa.2009.11.022 | |
| dc.subject.hal | Mathématiques [math]/Analyse numérique [math.NA] | |
| dc.subject.hal | Informatique [cs] | |
| bordeaux.journal | Linear Algebra and its Applications | |
| bordeaux.page | 1663-1679 | |
| bordeaux.volume | 432 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.issue | 7 | |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-00402455 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-00402455v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Linear%20Algebra%20and%20its%20Applications&rft.date=2010-03&rft.volume=432&rft.issue=7&rft.spage=1663-1679&rft.epage=1663-1679&rft.eissn=0024-3795&rft.issn=0024-3795&rft.au=DOSSAL,%20Charles&PEYR%C3%89,%20Gabriel&FADILI,%20Jalal%20M.&rft.genre=article |
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