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UID:5521@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20131018T140000
DTEND;TZID=Europe/Paris:20131018T150000
DTSTAMP:20241030T092438Z
URL:https://www.i2m.univ-amu.fr/evenements/f-x-dupe-lif-toward-a-general-g
 reedy-approach-for-sparse-optimization/
SUMMARY: (...): F. X Dupé (LIF): Toward a general greedy approach for spar
 se optimization
DESCRIPTION:: Toward a general greedy approach for sparse optimization\n\nB
 y François Xavier Dupé\\\, LIF.\n\nAbstract : Following recent works on 
 greedy sparse minimization like\nCoSaMP or GRASP\\\, we propose a generali
 zation (based on GRASP idea) of\nthe CoSaMP greedy method for general spar
 se optimization. By defining a\nRIP-like criterion for non-linear operator
  (e.g. gradient)\\\, we are to\nshow that\\\, under given conditions\\\, s
 uch method may converge to a unique\nsolution. We illustrate the proposed 
 framework by proposing a new greedy\nmethod to denoise Poisson degraded im
 ages by using the Moreau-Yosida\nregularization of the Poisson likelihood.
  The regularization provides us\nwith a data fidelity term with nice prope
 rties which we minimize under\nsparsity constraints. We provide numerical 
 experiments which show the\nsoundness of the method compared to the convex
  l1-norm relaxation of the\nproblem.
CATEGORIES:Séminaire,Signal et Apprentissage
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DTSTART:20130331T030000
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