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arXiv 2204.02253math.NAcs.NA
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反问题非线性滤波的最新进展

Recent Trends on Nonlinear Filtering for Inverse Problems

Michael Herty, Elisa Iacomini, Giuseppe Visconti

摘要:

在一类非线性粒子滤波方法中,增强卡尔曼滤波(Enklman Filter,EnKF)因其在求解逆问题中的应用而受到关注。我们回顾了原来的方法,并讨论了最近的发展,特别是在考虑到无限粒子的限制和扩展到稳定性分析和多目标最优化。我们说明了该方法的性能,使用测试反问题从文献中。

英文摘要:

Among the class of nonlinear particle filtering methods, the Ensemble Kalman Filter (EnKF) has gained recent attention for its use in solving inverse problems. We review the original method and discuss recent developments in particular in view of the limit for infinitely particles and extensions towards stability analysis and multi--objective optimization. We illustrate the performance of the method by using test inverse problems from the literature.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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