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Projected gradient descent for non-convex sparse spike estimation
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | TRAONMILIN, Yann | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | AUJOL, Jean-François | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | LECLAIRE, Arthur | |
| dc.date.accessioned | 2024-04-04T02:43:27Z | |
| dc.date.available | 2024-04-04T02:43:27Z | |
| dc.date.issued | 2020 | |
| dc.identifier.issn | 1070-9908 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/191337 | |
| dc.description.abstractEn | We propose a new algorithm for sparse spike estimation from Fourier measurements. Based on theoretical results on non-convex optimization techniques for off-the-grid sparse spike estimation, we present a projected gradient descent algorithm coupled with a spectral initialization procedure. Our algorithm permits to estimate the positions of large numbers of Diracs in 2d from random Fourier measurements. We present, along with the algorithm, theoretical qualitative insights explaining the success of our algorithm. This opens a new direction for practical off-the-grid spike estimation with theoretical guarantees in imaging applications. | |
| dc.language.iso | en | |
| dc.publisher | Institute of Electrical and Electronics Engineers | |
| dc.subject.en | non-convex optimization | |
| dc.subject.en | spike super-resolution | |
| dc.subject.en | projected gradient descent | |
| dc.title.en | Projected gradient descent for non-convex sparse spike estimation | |
| dc.type | Article de revue | |
| dc.identifier.doi | 10.1109/LSP.2020.3003241 | |
| dc.subject.hal | Informatique [cs]/Traitement du signal et de l'image | |
| dc.identifier.arxiv | 2005.05920 | |
| bordeaux.journal | IEEE Signal Processing Letters | |
| bordeaux.page | 1110 - 1114 | |
| bordeaux.volume | 27 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-02311624 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-02311624v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=IEEE%20Signal%20Processing%20Letters&rft.date=2020&rft.volume=27&rft.spage=1110%20-%201114&rft.epage=1110%20-%201114&rft.eissn=1070-9908&rft.issn=1070-9908&rft.au=TRAONMILIN,%20Yann&AUJOL,%20Jean-Fran%C3%A7ois&LECLAIRE,%20Arthur&rft.genre=article |
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