scholarly journals Uniformly most powerful unbiased test for conditional independence in Gaussian graphical model

2017 ◽  
Vol 122 ◽  
pp. 90-95 ◽  
Author(s):  
Petr Koldanov ◽  
Alexander Koldanov ◽  
Valeriy Kalyagin ◽  
Panos Pardalos
Keyword(s):  
Conditional Independence ◽  
Graphical Model ◽  
Gaussian Graphical Model ◽  
Unbiased Test ◽  
Uniformly Most Powerful

HIGH-ORDER CONDITIONAL DISTANCE COVARIANCE WITH CONDITIONAL MUTUAL INDEPENDENCE

2020 ◽  
pp. 1-18
Author(s):  
Pengfei Liu ◽  
Xuejun Ma ◽  
Wang Zhou
Keyword(s):  
Linear Combination ◽  
Conditional Independence ◽  
Graphical Model ◽  
High Order ◽  
Gaussian Graphical Model ◽  
Random Vectors ◽  
Independence Test ◽  
Mutual Independence ◽  
Simulation Results ◽  
Distance Covariance

We construct a high-order conditional distance covariance, which generalizes the notation of conditional distance covariance. The joint conditional distance covariance is defined as a linear combination of conditional distance covariances, which can capture the joint relation of many random vectors given one vector. Furthermore, we develop a new method of conditional independence test based on the joint conditional distance covariance. Simulation results indicate that the proposed method is very effective. We also apply our method to analyze the relationships of PM2.5 in five Chinese cities: Beijing, Tianjin, Jinan, Tangshan and Qinhuangdao by the Gaussian graphical model.

Tensor-Based Gaussian Graphical Model

2021 ◽  
pp. 285-298
Author(s):  
Yipeng Liu ◽  
Jiani Liu ◽  
Zhen Long ◽  
Ce Zhu
Keyword(s):  
Graphical Model ◽  
Gaussian Graphical Model

scholarly journals Testing the Structure of a Gaussian Graphical Model With Reduced Transmissions in a Distributed Setting

2019 ◽  
Vol 67 (20) ◽  
pp. 5391-5401 ◽  
Author(s):  
Yicheng Chen ◽  
Rick S. Blum ◽  
Brian M. Sadler ◽  
Jiangfan Zhang
Keyword(s):  
Graphical Model ◽  
Gaussian Graphical Model

Updating of the Gaussian graphical model through targeted penalized estimation

2020 ◽  
Vol 178 ◽  
pp. 104621
Author(s):  
Wessel N. van Wieringen ◽  
Koen A. Stam ◽  
Carel F.W. Peeters ◽  
Mark A. van de Wiel
Keyword(s):  
Graphical Model ◽  
Gaussian Graphical Model ◽  
Penalized Estimation
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