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A novel algorithm for solving multiplicative mixed-norm regularization problems

机译:一种解决乘法混合规范正则化问题的新算法

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摘要

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.
机译:在一篇文章中,最近在机械系统和信号处理中公布,已经引入了一种乘法混合规范正则化,用于解决空间频率力重建问题。最初,解决方案是从迭代重复的最小二乘(IRLS)算法获得的。然而,如本通信所示,这种算法表现出关于测量噪声水平的鲁棒性。因此,引入了一种基于一阶的最优性条件的新型迭代解析算法。从数值实验中,示出了所提出的算法表现出比最初实现用于求解频域中的力重建问题的IRLS算法更好的稳健性。

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