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Main Authors: Morinishi, Yoshimitsu, Shimizu, Shohei
Format: Preprint
Published: 2025
Subjects:
Online Access:https://arxiv.org/abs/2501.12854
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author Morinishi, Yoshimitsu
Shimizu, Shohei
author_facet Morinishi, Yoshimitsu
Shimizu, Shohei
contents We propose a novel score-based causal discovery method, named ABIC LiNGAM, which extends the linear non-Gaussian acyclic model (LiNGAM) framework to address the challenges of causal structure estimation in scenarios involving unmeasured confounders. By introducing the assumption that error terms follow a multivariate generalized normal distribution, our method leverages continuous optimization techniques to recover acyclic directed mixed graphs (ADMGs), including causal directions rather than just equivalence classes. We provide theoretical guarantees on the identifiability of causal parameters and demonstrate the effectiveness of our approach through extensive simulations and applications to real-world datasets.
format Preprint
id arxiv_https___arxiv_org_abs_2501_12854
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Differentiable Causal Discovery of Linear Non-Gaussian Acyclic Models Under Unmeasured Confounding
Morinishi, Yoshimitsu
Shimizu, Shohei
Methodology
We propose a novel score-based causal discovery method, named ABIC LiNGAM, which extends the linear non-Gaussian acyclic model (LiNGAM) framework to address the challenges of causal structure estimation in scenarios involving unmeasured confounders. By introducing the assumption that error terms follow a multivariate generalized normal distribution, our method leverages continuous optimization techniques to recover acyclic directed mixed graphs (ADMGs), including causal directions rather than just equivalence classes. We provide theoretical guarantees on the identifiability of causal parameters and demonstrate the effectiveness of our approach through extensive simulations and applications to real-world datasets.
title Differentiable Causal Discovery of Linear Non-Gaussian Acyclic Models Under Unmeasured Confounding
topic Methodology
url https://arxiv.org/abs/2501.12854