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

Duval, Vincent; Peyré, Gabriel (2015), The Non Degenerate Source Condition: Support Robustness for Discrete and Continuous Sparse Deconvolution, IEEE International Workshop on Computational Advances in Multi-Sensor Adaptive Processing, Dec 2015, Cancun, Mexico, IEEE - Institute of Electrical and Electronics Engineers : Piscataway, NJ. 10.1109/CAMSAP.2015.7383733

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Type
Communication / Conférence
Date
2015
Book title
IEEE International Workshop on Computational Advances in Multi-Sensor Adaptive Processing, Dec 2015, Cancun, Mexico; IEEE International Workshop on Computational Advances in Multi-Sensor Adaptive Processing
Publisher
IEEE - Institute of Electrical and Electronics Engineers
Published in
Piscataway, NJ
ISBN
978-1-4799-1963-5
Publication identifier
Metadata
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Author(s)
Duval, Vincent cc
Peyré, Gabriel
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.
Subjects / Keywords
deconvolution; total variation; sparse regularization