Hui Zhang

activity

20122023

most citedOne condition for solution uniqueness and robustness of both l1-synthesis and l1-analysis minimizations

56 citations · 325 across the 24 of their papers we have counts for

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3 papers · 1 filter

cs.IT2014★ 16 cited

Robust analysis $ℓ_{1}$ -recovery from Gaussian measurements and total variation minimization

Maryia Kabanava, Holger Rauhut, Hui Zhang

Analysis $ℓ_{1}$ -recovery refers to a technique of recovering a signal that is sparse in some transform domain from incomplete corrupted measurements. This includes total variatio…

cs.IT2013★ 56 cited

One condition for solution uniqueness and robustness of both l1-synthesis and l1-analysis minimizations

Hui Zhang, Ming Yan, Wotao Yin

The $ℓ_{1}$ -synthesis model and the $ℓ_{1}$ -analysis model recover structured signals from their undersampled measurements. The solution of former is a sparse sum of dictionary a…

cs.IT2012★ 53 cited

Necessary and sufficient conditions of solution uniqueness in $ℓ_{1}$ minimization

Hui Zhang, Wotao Yin, Lizhi Cheng

This paper shows that the solutions to various convex $ℓ_{1}$ minimization problems are \emph{unique} if and only if a common set of conditions are satisfied. This result applies…

Robust analysis ℓ1​-recovery from Gaussian measurements and total variation minimization

One condition for solution uniqueness and robustness of both l1-synthesis and l1-analysis minimizations

Necessary and sufficient conditions of solution uniqueness in ℓ1​ minimization

Robust analysis $ℓ_{1}$ -recovery from Gaussian measurements and total variation minimization

Necessary and sufficient conditions of solution uniqueness in $ℓ_{1}$ minimization