• xmlui.mirage2.page-structure.header.title
    • français
    • English
  • Help
  • Login
  • Language 
    • Français
    • English
View Item 
  •   BIRD Home
  • CEREMADE (UMR CNRS 7534)
  • CEREMADE : Publications
  • View Item
  •   BIRD Home
  • CEREMADE (UMR CNRS 7534)
  • CEREMADE : Publications
  • View Item
JavaScript is disabled for your browser. Some features of this site may not work without it.

Browse

BIRDResearch centres & CollectionsBy Issue DateAuthorsTitlesTypeThis CollectionBy Issue DateAuthorsTitlesType

My Account

LoginRegister

Statistics

Most Popular ItemsStatistics by CountryMost Popular Authors
Thumbnail - No thumbnail

Adaptive Structured Block Sparsity Via Dyadic Partitioning

Chesneau, Christophe; Fadili, Jalal; Peyré, Gabriel (2011), Adaptive Structured Block Sparsity Via Dyadic Partitioning, EUSIPCO 2011, 2011-08, Barcelone, Espagne

Type
Communication / Conférence
External document link
http://hal.archives-ouvertes.fr/hal-00597772/fr/
Date
2011
Conference title
EUSIPCO 2011
Conference date
2011-08
Conference city
Barcelone
Conference country
Espagne
Pages
5
Metadata
Show full item record
Author(s)
Chesneau, Christophe
Fadili, Jalal
Peyré, Gabriel
Abstract (EN)
This paper proposes a novel method to adapt the block-sparsity structure to the observed noisy data. Towards this goal, the Stein risk estimator framework is exploited, and the block-sparsity is dyadically organized in a tree. The adaptation of the sparsity structure is obtained by finding the best recursive dyadic partition, whose terminal nodes (leaves) are the blocks, that minimizes a data-driven estimator of the risk. Our main contributions are (i) analytical expression of the risk; (ii) a novel estimator of the risk; (iii) a fast algorithm that yields the best partition. Numerical results on wavelet-domain denoising of synthetic and natural images illustrate the improvement brought by our adaptive approach.
Subjects / Keywords
dyadic partition; Stein risk; block-sparsity

Related items

Showing items related by title and author.

  • Thumbnail
    Parcimonie Adaptative Structurée par Blocs Dyadiques 
    Peyré, Gabriel; Fadili, Jalal; Chesneau, Christophe (2011) Communication / Conférence
  • Thumbnail
    The degrees of freedom of penalized l1 minimization 
    Chesneau, Christophe; Peyré, Gabriel; Fadili, Jalal; Kachour, Maher; Dossal, Charles (2011) Document de travail / Working paper
  • Thumbnail
    The degrees of freedom of the Lasso for general design matrix 
    Chesneau, Christophe; Peyré, Gabriel; Fadili, Jalal; Kachour, Maher; Dossal, Charles (2013) Article accepté pour publication ou publié
  • Thumbnail
    The degrees of freedom of the Lasso in underdetermined linear regression models 
    Peyré, Gabriel; Dossal, Charles; Chesneau, Christophe; Fadili, Jalal; Kachour, Maher (2011) Communication / Conférence
  • Thumbnail
    Learning Analysis Sparsity Priors 
    Peyré, Gabriel; Fadili, Jalal (2011) Communication / Conférence
Dauphine PSL Bibliothèque logo
Place du Maréchal de Lattre de Tassigny 75775 Paris Cedex 16
Phone: 01 44 05 40 94
Contact
Dauphine PSL logoEQUIS logoCreative Commons logo