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Causal discovery aims to infer causal relationships among variables from observational data, typically represented by a directed acyclic graph (DAG). Most existing methods assume independent and identically distributed observations, an…

统计方法学 · 统计学 2026-03-27 Alex Chen , Qing Zhou

Discovering causal relations among observed variables in a given data set is a major objective in studies of statistics and artificial intelligence. Recently, some techniques to discover a unique causal model have been explored based on…

This article presents a novel method for causal discovery with generalized structural equation models suited for analyzing diverse types of outcomes, including discrete, continuous, and mixed data. Causal discovery often faces challenges…

统计方法学 · 统计学 2023-10-26 Minjie Wang , Xiaotong Shen , Wei Pan

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

Capturing the underlying structural causal relations represented by Directed Acyclic Graphs (DAGs) has been a fundamental task in various AI disciplines. Causal DAG learning via the continuous optimization framework has recently achieved…

机器学习 · 计算机科学 2024-06-11 Naiyu Yin , Tian Gao , Yue Yu , Qiang Ji

Causal discovery methods aim to determine the causal direction between variables using observational data. Functional causal discovery methods, such as those based on the Linear Non-Gaussian Acyclic Model (LiNGAM), rely on structural and…

统计方法学 · 统计学 2024-09-27 Shreya Prakash , Fan Xia , Elena Erosheva

Recent advances have established the identifiability of a directed acyclic graph (DAG) under additive noise models (ANMs), spurring the development of various causal discovery methods. However, most existing methods make restrictive model…

机器学习 · 统计学 2026-04-24 Stella Huang , Qing Zhou

We investigate the task of learning causal structure in the presence of latent variables, including locating latent variables and determining their quantity, and identifying causal relationships among both latent and observed variables. To…

机器学习 · 计算机科学 2024-06-11 Feng Xie , Biwei Huang , Zhengming Chen , Ruichu Cai , Clark Glymour , Zhi Geng , Kun Zhang

Causal discovery from i.i.d. observational data is known to be generally ill-posed. We demonstrate that if we have access to the distribution {induced} by a structural causal model, and additional data from (in the best case) \textit{only…

机器学习 · 统计学 2026-05-15 Francesco Montagna

We present a novel perspective and algorithm for learning directed acyclic graphs (DAGs) from data generated by a linear structural equation model (SEM). First, we show that a linear SEM can be viewed as a linear transform that, in prior…

机器学习 · 计算机科学 2024-06-21 Panagiotis Misiakos , Chris Wendler , Markus Püschel

Recursive linear structural equation models and the associated directed acyclic graphs (DAGs) play an important role in causal discovery. The classic identifiability result for this class of models states that when only observational data…

统计理论 · 数学 2023-08-21 Jun Wu , Mathias Drton

This paper studies the problem of learning causal structures from observational data. We reformulate the Structural Equation Model (SEM) with additive noises in a form parameterized by binary graph adjacency matrix and show that, if the…

机器学习 · 计算机科学 2022-01-11 Ignavier Ng , Shengyu Zhu , Zhuangyan Fang , Haoyang Li , Zhitang Chen , Jun Wang

Causal discovery methods are intrinsically constrained by the set of assumptions needed to ensure structure identifiability. Moreover additional restrictions are often imposed in order to simplify the inference task: this is the case for…

机器学习 · 计算机科学 2023-04-07 Francesco Montagna , Nicoletta Noceti , Lorenzo Rosasco , Kun Zhang , Francesco Locatello

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

Nowadays, the need for causal discovery is ubiquitous. A better understanding of not just the stochastic dependencies between parts of a system, but also the actual cause-effect relations, is essential for all parts of science. Thus, the…

机器学习 · 计算机科学 2024-12-10 Boris Lorbeer , Mustafa Mohsen

This article presents one of the pioneering studies on causal modeling in travel mode choice decision-making using causal discovery algorithms. These models are a major advancement from conventional correlation-based techniques. We propose…

We consider the problem of structure learning for linear causal models based on observational data. We treat models given by possibly cyclic mixed graphs, which allow for feedback loops and effects of latent confounders. Generalizing…

统计理论 · 数学 2020-08-21 Carlos Améndola , Philipp Dettling , Mathias Drton , Federica Onori , Jun Wu

We propose GaussDetect-LiNGAM, a novel approach for bivariate causal discovery that eliminates the need for explicit Gaussianity tests by leveraging a fundamental equivalence between noise Gaussianity and residual independence in the…

机器学习 · 计算机科学 2025-12-04 Ziyi Ding , Xiao-Ping Zhang

Linear structural causal models (SCMs) -- in which each observed variable is generated by a subset of the other observed variables as well as a subset of the exogenous sources -- are pervasive in causal inference and casual discovery.…

机器学习 · 计算机科学 2022-11-09 Yuqin Yang , Mohamed Nafea , AmirEmad Ghassami , Negar Kiyavash

We develop estimation for potentially high-dimensional additive structural equation models. A key component of our approach is to decouple order search among the variables from feature or edge selection in a directed acyclic graph encoding…

统计方法学 · 统计学 2014-12-02 Peter Bühlmann , Jonas Peters , Jan Ernest