Sample-based population observers

Sample-based population observers
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基于样本的人口观察员

DOI:
10.1016/j.automatica.2018.11.050
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发表时间:
2019
期刊:
影响因子:
6.4
通讯作者:
Zeng, Shen
Zeng, Shen
中科院分区:
计算机科学2区
文献类型:
--
作者:
Zeng, Shen

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本文首先建立了最近考虑的总体观测器或集合观测器的基于样本的公式,该观测器根据输出分布的测量来估计动态总体的状态分布。本文给出的结果提供了容易应用的计算程序,提供了新的途径来规避关于维度诅咒的问题,所有以前开发的采用基于核的方法的技术都固有地受到维度诅咒的影响。最终为所有不同类型的基于样本的考虑铺平道路的新见解实际上深深植根于问题背后的基本概率框架,将在分布水平上定义的最优质量传输问题与在单个点水平上运行的实际随机策略联系起来。本文建立的概念性见解不仅使我们对基于样本的系综观测器的潜在机制有了深入的了解,而且极大地促进了我们对一般动力系统系综的估计和跟踪问题的理解。
In this paper, a first sample-based formulation of the recently considered population observers, or ensemble observers, which estimate the state distribution of dynamic populations from measurements of the output distribution is established. The results presented in this paper yield readily applicable computational procedures that provide novel avenues to circumvent issues regarding the curse of dimensionality, which all previously developed techniques employing a kernel-based approach are inherently suffering from. The novel insights that eventually pave the way for all different kinds of sample-based considerations are in fact deeply rooted in the basic probabilistic framework underlying the problem, bridging optimal mass transport problems defined on the level of distributions with actual randomized strategies operating on the level of individual points. The conceptual insights established in this paper not only yield insight into the underlying mechanisms of sample-based ensemble observers but significantly advance our understanding of estimation and tracking problems for the class of ensembles of dynamical systems in general.
DOI: 10.1109/tac.2016.2613478
发表时间: 2017-05
影响因子: 6.8
作者:
Shen Zeng;H. Ishii;F. Allgöwer
通讯作者: Shen Zeng;H. Ishii;F. Allgöwer
DOI: 10.1109/cdc.2015.7403214
发表时间: 2015
期刊: 2015 54th IEEE Conference on Decision and Control (CDC)
影响因子: --
作者:
Shen Zeng;F. Allgöwer
通讯作者: F. Allgöwer
DOI: 10.1109/tac.2016.2602103
发表时间: 2017-05-01
影响因子: 6.8
作者:
Chen, Yongxin;Georgiou, Tryphon T.;Pavon, Michele
通讯作者: Pavon, Michele