A generalized multiplicative regularization for input estimation

M. Aucejo; O. De Smet

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A generalized multiplicative regularization for input estimation

机译：输入估计的广义乘法正则化

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摘要

This paper implements a generalized multiplicative regularization for estimating the mechanical loads acting on a linear structure. The proposed strategy extends the ordinary multiplicative regularization, previously published by the authors, by introducing an extra tuning parameter, which is determined through an original iterative procedure. To assess the practical interest and the overall performances of the proposed approach, numerical and real-world applications are proposed. Obtained results illustrate the influence of the extra tuning parameter according to the measurement noise level and highlight the benefits brought by the generalized multiplicative regularization in terms of solution accuracy.

机译：本文实现了用于估计作用在线性结构上的机械载荷的广义乘法正则化。拟议的策略通过引入额外的调谐参数来扩展前面由作者发布的普通乘法正则化，这是通过原始迭代程序确定的。为了评估拟议方法的实际兴趣和整体表演，提出了数值和现实世界申请。获得的结果说明了根据测量噪声水平的额外调谐参数的影响，并突出了在解决方案准确性方面所带来的广义乘法正则化所带来的益处。

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来源
《Mechanical systems and signal processing》 |2021年第8期|107637.1-107637.17|共17页
作者
M. Aucejo; O. De Smet;
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作者单位

Laboratoire de Mecanique des Structures et des Systemes Couples Conservatoire National des Arts et Metiers 2 Rue Conte 75003 Paris France;

Laboratoire de Mecanique des Structures et des Systemes Couples Conservatoire National des Arts et Metiers 2 Rue Conte 75003 Paris France;

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正文语种 eng
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关键词
Linear inverse problem; Force reconstruction; Multiplicative regularization;

机译：线性逆问题;力重建;乘法正则化;

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1. l(1) regularized multiplicative iterative path algorithm for non-negative generalized linear models [J] . Mandal B. N., Ma Jun Computational statistics & data analysis . 2016,第Null期

机译：非负广义线性模型的l（1）正则化乘积迭代路径算法
2. A convex total generalized variation regularized model for multiplicative noise and blur removal [J] . Shama Mu-Ga, Huang Ting-Zhu, Liu Jun, Applied mathematics and computation . 2016,第Null期

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3. A Generalized Analytical Solution to Channel Estimation With Intersymbol Interference Cancelation and Co-Channel Interference Cancelation for Single Input Single Output/Multiple Input Single Output Digital Terrestrial Multimedia Broadcasting Systems [J] . Li S., Xiong J., Gui L., Broadcasting, IEEE Transactions on . 2013,第1期

机译：单输入单输出/多输入单输出数字地面多媒体广播系统的带符号间干扰消除和同信道干扰消除的信道估计的通用解析解决方案
4. Generalized-cross-validation estimation of the regularization parameters of the subbands in wavelet domain regularized image restoration [C] . Stephanakis, I.M., Kollias, . 1998

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5. Graph-based data analysis: Tree-structured covariance estimation, prediction by regularized kernel estimation and aggregate database query processing for probabilistic inference. [D] . Bravo, Hector Corrada. 2008

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6. An efficient method for generalized linear multiplicative programming problem with multiplicative constraints [O] . Yingfeng Zhao, Sanyang Liu -1

机译：具有乘法约束的广义线性乘法规划问题的一种有效方法。
7. Generalized Zeta Function Regularization and the Multiplicative Anomaly [O] . G. Cognola, S. Zerbini 2016

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8. Multiplicative Regularized Contrast Source Inversion Method. [R] . van den Berg, P. M., Abubakar, A. 2001

机译：乘法正则化对比源反演方法。

A generalized multiplicative regularization for input estimation

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