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Efficient Model Selection in Switching Linear Dynamic Systems by Graph Clustering

delete2022-01-01
delete3
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OA
AI
K
Karimi, Parisa *
M
Mark D. Butala
Z
Zhizhen Zhao
F
Farzad Kamalabadi
DOI:10.1109/LSP.2022.3226113delete
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摘要

摘要

En 中文
The computation required for a switching Kalman Filter (SKF) increases exponentially with the number of system operation modes. In this paper, a computationally tractable graph representation is proposed for a switching linear dynamic system (SLDS) along with the solution of a minimum-sum optimization problem for clustering to reduce the switching mode cardinality offline, before collecting measurements. It is shown that upon perfect mode detection, the induced error caused by mode clustering can be quantified exactly in terms of the dissimilarity measures in the proposed graph structure. Numerical results verify that clustering based on the proposed framework effectively reduces model complexity given uncertain mode detection and that the induced error can be well approximated if the underlying assumptions are satisfied.
Keyword:
Dynamic systems
Kalman filter
recursive estimation
model mismatch
model complexity
graph clustering

期刊

IEEE Signal Processing Magazine 封面图
IEEE Signal Processing Magazine
IF:
9.6
论文数:
1.1W
被引数:
1.7W

机构

U
University of Illinois Urbana-Champaign
学者数:
2.4W
论文数: 2.0W
被引数: 35
University of Illinois System 封面图
University of Illinois System
学者数:
6.8W
论文数: 6.2W
被引数: 644
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