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Paper · arXiv

Provable Guarantees and Efficient Learning of Structural Equation Models with Latent Confounders

Causal discovery aims to recover causal relationships from observed data. In various fields, exploring causal relationships among variables remains an important topic, but this task becomes challenging due to the existence of latent confounders. Ignoring such confounders can lead to false associations and incorrect edge directions. In this paper, we study the linear structural equation model with latent confounders. We propose an algorithm that iteratively identifies terminal (observed) nodes and reconstructs the directed acyclic graph of the observed variables. To do this, we recover the precision matrix of the observed variables as a sparse plus low-rank matrix: a sparse matrix captures...

AuthorsWeijian Yu, Jean Honorio
Primary categorycs.LG
Published16 September 2026
Last updated at source16 September 2026
cs.LGstat.ML
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