On discrete \(\ell ^{1}\)-regularization (Q1946524)
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scientific article; zbMATH DE number 6153905
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On discrete \(\ell ^{1}\)-regularization |
scientific article; zbMATH DE number 6153905 |
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On discrete \(\ell ^{1}\)-regularization (English)
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15 April 2013
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The authors consider the discrete \(l^1\)-regularization problem \[ \min\{|y- Ax|_1+ \rho|x|_1: x\in\mathbb{R}^n\} \] and present some general observations concerning the variational solution of this problem. Specifically, a characterization of all solutions of this problem is given and also some information about the geometry of the set of all solutions and a method to compute a solution.
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sparsity
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\(l ^{1}\) approximation
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convex optimization
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vector alternation
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vector equioscillation
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compressed sensing
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discrete \(l^1\)-regularization problem
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