Multi-penalty regularization with a component-wise penalization (Q2861870)
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scientific article; zbMATH DE number 6225028
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Multi-penalty regularization with a component-wise penalization |
scientific article; zbMATH DE number 6225028 |
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Multi-penalty regularization with a component-wise penalization (English)
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11 November 2013
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regularization
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convergence
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heuristic approach
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linear ill-posed operator equation
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Hilbert space
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multi-penalty functional
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A new regularization scheme for reconstructing the solution of a linear ill-posed operator equation from given noisy data in the Hilbert space setting is proposed. The regularized approximation is decomposed into several components, which are defined by minimizing a multi-penalty functional. It is shown theoretically and numerically that under a proper choice of the regularization parameters, the regularized approximation exhibits the so-called compensatory property, in the sense that it performs similar to the best of the single-penalty regularization with the same penalizing operator.
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