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Structural equation models and Bayesian networks have been widely used to analyze causal relations between continuous variables. In such frameworks, linear acyclic models are typically used to model the datagenerating process of variables.…

机器学习 · 计算机科学 2014-08-12 Shohei Shimizu , Aapo Hyvarinen , Yoshinobu Kawahara

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

One of the key objectives in many fields in machine learning is to discover causal relationships among a set of variables from observational data. In linear non-Gaussian acyclic models (LiNGAM), it can be shown that the true underlying…

分布式、并行与集群计算 · 计算机科学 2026-01-06 Amirhossein Shahbazinia , Saber Salehkaleybar , Matin Hashemi

Finding the structure of a graphical model has been received much attention in many fields. Recently, it is reported that the non-Gaussianity of data enables us to identify the structure of a directed acyclic graph without any prior…

人工智能 · 计算机科学 2010-06-28 Yoshinobu Kawahara , Kenneth Bollen , Shohei Shimizu , Takashi Washio

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

Methods for automated discovery of causal relationships from non-interventional data have received much attention recently. A widely used and well understood model family is given by linear acyclic causal models (recursive structural…

机器学习 · 统计学 2012-05-14 Patrik O. Hoyer , Antti Hyttinen

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

Structural learning of directed acyclic graphs (DAGs) or Bayesian networks has been studied extensively under the assumption that data are independent. We propose a new Gaussian DAG model for dependent data which assumes the observations…

机器学习 · 统计学 2021-07-30 Hangjian Li , Oscar Hernan Madrid Padilla , Qing Zhou

We consider learning the possible causal direction of two observed variables in the presence of latent confounding variables. Several existing methods have been shown to consistently estimate causal direction assuming linear or some type of…

机器学习 · 统计学 2014-05-21 Shohei Shimizu , Kenneth Bollen

We consider graphical models based on a recursive system of linear structural equations. This implies that there is an ordering, $\sigma$, of the variables such that each observed variable $Y_v$ is a linear function of a variable specific…

统计方法学 · 统计学 2019-06-28 Y. Samuel Wang , Mathias Drton

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

The paradigm of linear structural equation modeling readily allows one to incorporate causal feedback loops in the model specification. These appear as directed cycles in the common graphical representation of the models. However, the…

统计理论 · 数学 2025-07-16 Mathias Drton , Marina Garrote-López , Niko Nikov , Elina Robeva , Y. Samuel Wang

Learning causal relationships between variables is a well-studied problem in statistics, with many important applications in science. However, modeling real-world systems remain challenging, as most existing algorithms assume that the…

Numerous approaches have been proposed to discover causal dependencies in machine learning and data mining; among them, the state-of-the-art VAR-LiNGAM (short for Vector Auto-Regressive Linear Non-Gaussian Acyclic Model) is a desirable…

机器学习 · 计算机科学 2022-11-28 Aref Einizade , Sepideh Hajipour Sardouie

One of the established approaches to causal discovery consists of combining directed acyclic graphs (DAGs) with structural causal models (SCMs) to describe the functional dependencies of effects on their causes. Possible identifiability of…

统计方法学 · 统计学 2023-08-11 Sarah Leyder , Jakob Raymaekers , Tim Verdonck

A large amount of observational data has been accumulated in various fields in recent times, and there is a growing need to estimate the generating processes of these data. A linear non-Gaussian acyclic model (LiNGAM) based on the…

机器学习 · 统计学 2014-08-05 Naoki Tanaka , Shohei Shimizu , Takashi Washio

Gaussian graphical models provide a powerful framework to reveal the conditional dependency structure between multivariate variables. The process of uncovering the conditional dependency network is known as structure learning. Bayesian…

统计方法学 · 统计学 2024-07-30 Lucas Vogels , Reza Mohammadi , Marit Schoonhoven , S. Ilker Birbil

This paper addresses the problem of estimating causal directed acyclic graphs in linear non-Gaussian acyclic models with latent confounders (LvLiNGAM). Existing methods assume mutually independent latent confounders or cannot properly…

机器学习 · 计算机科学 2025-10-17 Ming Cai , Penggang Gao , Hisayuki Hara

We consider the problem of learning causal models from observational data generated by linear non-Gaussian acyclic causal models with latent variables. Without considering the effect of latent variables, one usually infers wrong causal…

机器学习 · 计算机科学 2019-08-13 Saber Salehkaleybar , AmirEmad Ghassami , Negar Kiyavash , Kun Zhang

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
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