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A novel algorithm for solving multiplicative mixed-norm regularization problems
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DOI：10.1016/j.ymssp.2020.106887.png)
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Abstract
En 中文
In a paper, recently published in Mechanical Systems and Signal Processing, a multiplicative mixed-norm regularization has been introduced for solving space-frequency force reconstruction problems. Originally, the solution is obtained from an Iteratively Reweighted Least-Squares (IRLS) algorithm. However, as shown in this communication, such an algorithm exhibits a lack of robustness regarding the measurement noise level. For this reason, a novel iterative resolution algorithm, based on the first-order optimality condition, is introduced. From a numerical experiment, it is shown that the proposed algorithm exhibits a better robustness than the IRLS algorithm initially implemented for solving force reconstruction problems in the frequency domain. (C) 2020 Elsevier Ltd. All rights reserved.
Keywords:
Inverse problem
Force reconstruction
Multiplicative regularization
Mixed-norm regularization
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