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UID:6643@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20201106T143000
DTEND;TZID=Europe/Paris:20201106T153000
DTSTAMP:20241120T201801Z
URL:https://www.i2m.univ-amu.fr/evenements/sampling-rates-for-%e2%84%931-s
 ynthesis/
SUMMARY:Claire Boyer (LPSM\, Sorbonne University): Sampling Rates for ℓ1-
 Synthesis
DESCRIPTION:Claire Boyer: Sampling Rates for ℓ1-Synthesis ou "Combien de 
 projections sous-gaussiennes doit-on faire pour reconstruire un objet parc
 imonieux dans un dictionnaire redondant ?"\nThis work investigates the pro
 blem of signal recovery from undersampled noisy sub-Gaussian measurements 
 under the assumption of a synthesis-based sparsity model. Solving the l1-s
 ynthesis basis pursuit allows to simultaneously estimate a coefficient rep
 resentation as well as the sought-for signal. However\, due to linear depe
 ndencies within redundant dictionary atoms it might be impossible to ident
 ify a specific representation vector\, although the actual signal is still
  successfully recovered. We study both estimation problems from a non-unif
 orm\, signal-dependent perspective. By utilizing results from linear inver
 se problems and convex geometry\, we identify the sampling rate describing
  the phase transition of both formulations\, and propose a "tight" estimat
 ed upper-bound.\nThis is a joint work with Maximilian März (TU Berlin)\, 
 Jonas Kahn and Pierre Weiss (CNRS\, Toulouse).\n\nSlides : https://test.i2
 m.univ-amu.fr/seminaires_signal_apprentissage/Slides/2020_11_06_presentati
 onCBoyer.pdf
ATTACH;FMTTYPE=image/jpeg:https://www.i2m.univ-amu.fr/wp-content/uploads/2
 020/12/Claire_Boyer.jpg
CATEGORIES:Séminaire,Signal et Apprentissage
LOCATION:I2M Chateau-Gombert - CMI\, Salle de Séminaire R164 (1er étage)\
 , 39 Rue Joliot Curie\, 13013 Marseille\, France\, Campus Château-Gombert
 \, 
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  Marseille\, France\, Campus Château-Gombert\, ;X-APPLE-RADIUS=100;X-TITL
 E=I2M Chateau-Gombert - CMI\, Salle de Séminaire R164 (1er étage):geo:0,
 0
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