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In recent years, several methods have been proposed for the discovery of causal structure from non-experimental data (Spirtes et al. 2000; Pearl 2000). Such methods make various assumptions on the data generating process to facilitate its…

机器学习 · 计算机科学 2012-07-09 Shohei Shimizu , Aapo Hyvarinen , Yutaka Kano , Patrik O. Hoyer

Causal discovery is a difficult problem that typically relies on strong assumptions on the data-generating model, such as non-Gaussianity. In practice, many modern applications provide multiple related views of the same system, which has…

机器学习 · 计算机科学 2025-09-29 Ambroise Heurtebise , Omar Chehab , Pierre Ablin , Alexandre Gramfort , Aapo Hyvärinen

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…

统计方法学 · 统计学 2025-01-23 Yoshimitsu Morinishi , Shohei Shimizu

A linear non-Gaussian structural equation model called LiNGAM is an identifiable model for exploratory causal analysis. Previous methods estimate a causal ordering of variables and their connection strengths based on a single dataset.…

机器学习 · 统计学 2011-12-01 Shohei Shimizu

In causal discovery, non-Gaussianity has been used to characterize the complete configuration of a Linear Non-Gaussian Acyclic Model (LiNGAM), encompassing both the causal ordering of variables and their respective connection strengths.…

机器学习 · 计算机科学 2025-08-08 Tian-Le Yang , Kuang-Yao Lee , Kun Zhang , Joe Suzuki

An important task in data analysis is the discovery of causal relationships between observed variables. For continuous-valued data, linear acyclic causal models are commonly used to model the data-generating process, and the inference of…

We consider the problem of inferring the causal structure from observational data, especially when the structure is sparse. This type of problem is usually formulated as an inference of a directed acyclic graph (DAG) model. The linear…

机器学习 · 统计学 2025-08-21 Kazuharu Harada , Hironori Fujisawa

We consider recovering causal structure from multivariate observational data. We assume the data arise from a linear structural equation model (SEM) in which the idiosyncratic errors are allowed to be dependent in order to capture possible…

统计方法学 · 统计学 2021-11-11 Y. Samuel Wang , Mathias Drton

We study the generic identifiability of causal effects in linear non-Gaussian acyclic models (LiNGAM) with latent variables. We consider the problem in two main settings: When the causal graph is known a priori, and when it is unknown. In…

Recent work on causal abstraction, in particular graphical approaches focusing on causal structure between clusters of variables, aims to summarize a high-dimensional causal structure in terms of a low-dimensional one. Existing methods for…

机器学习 · 统计学 2026-05-12 Francisco Madaleno , Francisco C Pereira , Alex Markham

Causal discovery methods such as LiNGAM identify causal structure from observational data by assuming mutually independent disturbances. This assumption is fragile: shared volatility, common scale effects, or other forms of dependence can…

统计方法学 · 统计学 2026-05-07 Geert Mesters , Alvaro Ribot , Anna Seigal , Piotr Zwiernik

This paper discusses algorithms for learning causal DAGs. The PC algorithm makes no assumptions other than the faithfulness to the causal model and can identify only up to the Markov equivalence class. LiNGAM assumes linearity and…

机器学习 · 计算机科学 2026-05-08 Ming Cai , Penggang Gao , Hisayuki Hara

Local causal discovery is of great practical significance, as there are often situations where the discovery of the global causal structure is unnecessary, and the interest lies solely on a single target variable. Most existing local…

机器学习 · 计算机科学 2024-03-25 Haoyue Dai , Ignavier Ng , Yujia Zheng , Zhengqing Gao , Kun Zhang

We address the problem of causal discovery from data, making use of the recently proposed causal modeling framework of modular structural causal models (mSCM) to handle cycles, latent confounders and non-linearities. We introduce…

机器学习 · 统计学 2022-08-31 Patrick Forré , Joris M. Mooij

Discovery of causal relationships from observational data is an important problem in many areas. Several recent results have established the identifiability of causal DAGs with non-Gaussian and/or nonlinear structural equation models…

机器学习 · 统计学 2020-12-15 Bingling Wang , Qing Zhou

We consider the problem of learning the underlying causal structure among a set of variables, which are assumed to follow a Bayesian network or, more specifically, a linear recursive structural equation model (SEM) with the associated…

统计理论 · 数学 2025-08-05 Anamitra Chaudhuri , Anirban Bhattacharya , Yang Ni

Causal discovery with latent variables is a fundamental task. Yet most existing methods rely on strong structural assumptions, such as enforcing specific indicator patterns for latents or restricting how they can interact with others. We…

机器学习 · 计算机科学 2026-03-06 Haoyue Dai , Immanuel Albrecht , Peter Spirtes , Kun Zhang

We consider to learn a causal ordering of variables in a linear non-Gaussian acyclic model called LiNGAM. Several existing methods have been shown to consistently estimate a causal ordering assuming that all the model assumptions are…

机器学习 · 统计学 2012-04-10 Tatsuya Tashiro , Shohei Shimizu , Aapo Hyvarinen , Takashi Washio

This paper considers an extension of the linear non-Gaussian acyclic model (LiNGAM) that determines the causal order among variables from a dataset when the variables are expressed by a set of linear equations, including noise. In…

机器学习 · 计算机科学 2021-08-17 Joe Suzuki , Yusuke Inaoka

Estimating causal models from observational data is a crucial task in data analysis. For continuous-valued data, Shimizu et al. have proposed a linear acyclic non-Gaussian model to understand the data generating process, and have shown that…

机器学习 · 计算机科学 2018-02-19 Chao Li , Shohei Shimizu
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