Title
Lower Bounds On Information Requirements For Causal Network Inference
Abstract
Recovery of the causal structure of dynamic networks from noisy measurements has long been a problem of intense interest across many areas of science and engineering. Many algorithms have been proposed, but there is no work that compares the performance of the algorithms to converse bounds in a non-asymptotic setting. As a step to address this problem, this paper gives lower bounds on the error probability for causal network support recovery in a linear Gaussian setting. The bounds are based on the use of the Bhattacharyya coefficient for binary hypothesis testing problems with mixture probability distributions. Comparison of the bounds and the performance achieved by two representative recovery algorithms are given for sparse random networks based on the Erdos-Renyi model.
Year
DOI
Venue
2021
10.1109/ISIT45174.2021.9518005
2021 IEEE INTERNATIONAL SYMPOSIUM ON INFORMATION THEORY (ISIT)
DocType
Citations 
PageRank 
Conference
0
0.34
References 
Authors
0
2
Name
Order
Citations
PageRank
Xiaohan Kang100.34
Bruce Hajek215417.84