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Recursive Network Estimation for a Model With Binary-Valued States

delete2022-01-01
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PRE
AI
Y
Yu Xing
X
Xingkang He *
方
方海涛 (Haitao Fang)
K
Karl Henrik Johansson
DOI:10.1109/TAC.2022.3195268delete
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摘要

摘要

En 中文
This article studies how to estimate the weighted adjacency matrix of a network out of the state sequence of a model with binary-valued states, by using a recursive algorithm. In the considered system, agents display and exchange these binary-valued states generated from intrinsic quantizers. It is shown that stability of the model and identifiability of the system parameters can be guaranteed under continuous random noise. Under standard Gaussian noise, the problem of estimating the real-valued weighted adjacency matrix and the unknown quantization threshold is transformed to an optimization problem via a maximum likelihood approach. It is further verified that the unique solution of the optimization problem is the true parameter vector. A recursive algorithm for the estimation problem is then proposed based on stochastic approximation techniques. Its strong consistency is established and convergence rate analyzed. Numerical simulations are provided to illustrate developed results.
Keyword:
Binary-valued states
identifiability
network estimation
quantized identification
stochastic approximation (SA)

期刊

IEEE Transactions on Automatic Control 封面图
IEEE Transactions on Automatic Control
IF:
7
论文数:
1.3W
被引数:
6.7W

机构

R
Royal Institute of Technology
学者数:
1.8W
论文数: 1.8W
被引数: 25
A
academy of mathematics & system sciences, cas
学者数:
755
论文数: 768
被引数: 0
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