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Variable Splitting Methods for Constrained State Estimation in Partially Observed Markov Processes

delete2020-01-01
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OA
AI
高
高睿 (Rui Gao) *
F
Filip Tronarp
S
Simo Särkkä
DOI:10.1109/LSP.2020.3010159delete
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摘要

摘要

En 中文
In this letter, we propose a class of efficient, accurate, and general methods for solving state-estimation problems with equality and inequality constraints. The methods are based on recent developments in variable splitting and partially observed Markov processes. We first present the generalized framework based on variable splitting, then develop efficient methods to solve the state-estimation subproblems arising in the framework. The solutions to these subproblems can be made efficient by leveraging the Markovian structure of the model as is classically done in so-called Bayesian filtering and smoothing methods. The numerical experiments demonstrate that our methods outperform conventional optimization methods in computation cost as well as the estimation performance.
Keyword:
Kalman filters
Optimization
Markov processes
State estimation
State-space methods
Minimization
Computational modeling
Constrained state estimation
inequality constraint
variable splitting
Kalman filtering and smoothing
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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

A
Aalto University
学者数:
1.6W
论文数: 1.5W
被引数: 2.1W
E
eberhard karls university of tubingen
学者数:
3.3W
论文数: 2.5W
被引数: 38
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