Optimal Transportation Methods in Nonlinear Filtering THE FEEDBACK PARTICLE FILTER

被引：7
作者：
Taghvaei, Amirhossein [1 ,2 ]
Mehta, Prashant G. [3 ]
机构：
[1] Univ Calif Irvine, Irvine, CA 92697 USA
[2] Univ Washington, Dept Aeronaut & Astronaut, Seattle, WA 98195 USA
[3] Univ Illinois Urbana Champaign UIUC, Dept Mech Sci & Engn, Champaign, IL 61801 USA
来源：
IEEE CONTROL SYSTEMS MAGAZINE | 2021年 / 41卷 / 04期
关键词：
KALMAN-BUCY FILTER; DATA ASSIMILATION; UNIFORM PROPAGATION; STABILITY; CHAOS;
D O I：
10.1109/MCS.2021.3076391
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
How data became one of the most powerful tools to fight an epidemic is a question that a recent (10 June 2020) The New York Times article poses in its title. Indeed, the spread of COVID-19 involves dynamically evolving hidden data (for example, the number of infected people, the number of asymptomatic people) that must be deduced from noisy and partially observed data (for example, the number of daily deaths, the number of daily hospitalizations, and the number of daily positive tests). The underlying mathematics for posing and solving this and several other partially observed dynamic problems is familiar to control theorists © 1991-2012 IEEE.
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收藏
页码：34 / 49
页数：16
相关论文
共 60 条
[1]  
[Anonymous], 2004, PROB APPL S, DOI 10 . 1007 / 978 - 1 - 4684 - 9393 - 1
[2]  
[Anonymous], 2013, STOCHASTIC DIFFERENT, DOI DOI 10.1007/978-3-662-03185-8
[3]  
Bain A, 2009, STOCH MOD APPL PROBA, V60, P1, DOI 10.1007/978-0-387-76896-0_1
[4]  
Bakry D., 2013, Analysis and Geometry of Markov Diffusion Operators, V348
[5]   The Probabilistic Data Association Filter ESTIMATION IN THE PRESENCE OF MEASUREMENT ORIGIN UNCERTAINTY [J].
Bar-Shalom, Yaakov ;
Daum, Fred ;
Huang, Jim .
IEEE CONTROL SYSTEMS MAGAZINE, 2009, 29 (06) :82-100
[6]  
Bastos SB, 2020, ARXIV200314288
[7]  
Bengtsson T., 2008, PROBAB STAT, V2, P316, DOI [10.1214/193940307000000518, DOI 10.1214/193940307000000518]
[8]  
Bensoussan A, 2013, SPRINGERBRIEF MATH, P1, DOI 10.1007/978-1-4614-8508-7
[9]   An ensemble Kalman-Bucy filter for continuous data assimilation [J].
Bergemann, Kay ;
Reich, Sebastian .
METEOROLOGISCHE ZEITSCHRIFT, 2012, 21 (03) :213-219
[10]  
Berntorp K, 2018, 2018 21ST INTERNATIONAL CONFERENCE ON INFORMATION FUSION (FUSION), P123, DOI 10.23919/ICIF.2018.8455574
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