Journal
JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION
Volume -, Issue -, Pages -Publisher
TAYLOR & FRANCIS INC
DOI: 10.1080/01621459.2023.2179490
Keywords
Deconfounding; Directed acyclic graph; Gene regulatory networks; Neural networks; Variable selection
Categories
Ask authors/readers for more resources
This article introduces a causal discovery method, named DeFuSE, to learn nonlinear relationships in a directed acyclic graph with correlated Gaussian errors due to confounding. DeFuSE includes a deconfounding adjustment to remove the confounding effects and a sequential procedure to estimate the causal order of variables. The proposed approach demonstrates utility and effectiveness in gene regulatory network analysis.
This article introduces a causal discovery method to learn nonlinear relationships in a directed acyclic graph with correlated Gaussian errors due to confounding. First, we derive model identifiability under the sublinear growth assumption. Then, we propose a novel method, named the Deconfounded Functional Structure Estimation (DeFuSE), consisting of a deconfounding adjustment to remove the confounding effects and a sequential procedure to estimate the causal order of variables. We implement DeFuSE via feedforward neural networks for scalable computation. Moreover, we establish the consistency of DeFuSE under an assumption called the strong causal minimality. In simulations, DeFuSE compares favorably against state-of-the-art competitors that ignore confounding or nonlinearity. Finally, we demonstrate the utility and effectiveness of the proposed approach with an application to gene regulatory network analysis. The Python implementation is available at https://github.com/chunlinli/defuse.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available