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The Non Degenerate Source Condition: Support Robustness for Discrete and Continuous Sparse Deconvolution

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Date
2015
Notes
Déc 2015 Cancun Mexique
Dewey
Analyse
Sujet
deconvolution; total variation; sparse regularization
DOI
http://dx.doi.org/10.1109/CAMSAP.2015.7383733
Book title
IEEE International Workshop on Computational Advances in Multi-Sensor Adaptive Processing, Dec 2015, Cancun, MexicoIEEE International Workshop on Computational Advances in Multi-Sensor Adaptive Processing
Publisher
IEEE - Institute of Electrical and Electronics Engineers
Publisher city
Piscataway, NJ
Year
2015
ISBN
978-1-4799-1963-5
URI
https://basepub.dauphine.fr/handle/123456789/17246
Collections
  • CEREMADE : Publications
Metadata
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Author
Duval, Vincent
Peyré, Gabriel
Type
Communication / Conférence
Abstract (EN)
In this paper, we study discrete and continuous versions of the LASSO in order to solve the deconvolution problem. We shed light on the Non Degenerate Source Condition, a property which yields support robustness for both the continuous and discrete problems. More precisely, we show that this property yields exact support recovery in the continuous case and the estimation of twice the number of spikes in the discrete case.

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