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arXiv · 2311.04636

Learning Linear Gaussian Polytree Models with Interventions

Abstract

We present a consistent and highly scalable local approach to learn the causal structure of a linear Gaussian polytree using data from interventional experiments with known intervention targets. Our methods first learn the skeleton of the polytree and then orient its edges. The output is a CPDAG representing the interventional equivalence class of the polytree of the true underlying distribution. The skeleton and orientation recovery procedures we use rely on second order statistics and low-dimensional marginal distributions. We assess the performance of our methods under different scenarios in synthetic data sets and apply our algorithm to learn a polytree in a gene expression interventional data set. Our simulation studies demonstrate that our approach is fast, has good accuracy in terms of structural Hamming distance, and handles problems with thousands of nodes.

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BibTeXRIS

D. Tramontano, L. Waldmann, M. Drton, E. Duarte. 2023-11-08. Learning Linear Gaussian Polytree Models with Interventions. https://doi.org/10.1109/jsait.2023.3328429

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