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We investigate the asymptotic properties of Bayesian bivariate causal discovery for Gaussian Linear Structural Equation Models (SEMs) with heteroscedastic noise. We demonstrate that with purely observational data, the posterior distribution…

统计理论 · 数学 2026-03-30 Valentinian Lungu , Anish Dhir , Mark van der Wilk , Ioannis Kontoyiannis

While dynamic graph neural networks have shown promise in various applications, explaining their predictions on continuous-time dynamic graphs (CTDGs) is difficult. This paper investigates a new research task: self-interpretable GNNs for…

机器学习 · 计算机科学 2024-05-30 Lanting Fang , Yulian Yang , Kai Wang , Shanshan Feng , Kaiyu Feng , Jie Gui , Shuliang Wang , Yew-Soon Ong

Causal discovery seeks to uncover causal relations from data, typically represented as causal graphs, and is essential for predicting the effects of interventions. While expert knowledge is required to construct principled causal graphs,…

人工智能 · 计算机科学 2026-02-19 Zihao Li , Fabrizio Russo

We consider structural equation models in which variables can be written as a function of their parents and noise terms, which are assumed to be jointly independent. Corresponding to each structural equation model, there is a directed…

机器学习 · 统计学 2014-06-03 Jonas Peters , Peter Bühlmann

Knowledge about existence, strength, and dominant direction of causal influences is of paramount importance for understanding complex systems. With limited amounts of realistic data, however, current methods for investigating causal links…

数据分析、统计与概率 · 物理学 2020-10-20 Erik Laminski , Klaus R. Pawelzik

Structural equation models (SEMs) have been widely adopted for inference of causal interactions in complex networks. Recent examples include unveiling topologies of hidden causal networks over which processes such as spreading diseases, or…

机器学习 · 统计学 2017-04-05 Yanning Shen , Brian Baingana , Georgios B. Giannakis

Constraint-based causal discovery methods leverage conditional independence tests to infer causal relationships in a wide variety of applications. Just as the majority of machine learning methods, existing work focuses on studying…

机器学习 · 统计学 2024-05-27 Siyuan Guo , Viktor Tóth , Bernhard Schölkopf , Ferenc Huszár

Learning causal structure from observational data is central to scientific modeling and decision-making. Constraint-based methods aim to recover conditional independence (CI) relations in a causal directed acyclic graph (DAG). Classical…

机器学习 · 计算机科学 2025-09-30 Ruiqi Lyu , Alistair Turcan , Martin Jinye Zhang , Bryan Wilder

Complex systems can be modelled at various levels of detail. Ideally, causal models of the same system should be consistent with one another in the sense that they agree in their predictions of the effects of interventions. We formalise…

The recent works on causal discovery have followed a similar trend of learning partial ancestral graphs (PAGs) since observational data constrain the true causal directed acyclic graph (DAG) only up to a Markov equivalence class. This…

机器学习 · 计算机科学 2026-03-03 Tingrui Huang , Devendra Singh Dhami

In this review, we discuss approaches for learning causal structure from data, also called causal discovery. In particular, we focus on approaches for learning directed acyclic graphs (DAGs) and various generalizations which allow for some…

统计方法学 · 统计学 2022-12-20 Chandler Squires , Caroline Uhler

This article introduces a causal discovery method to learn nonlinear relationships in a directed acyclic graph with correlated Gaussian errors due to confounding. First, we derive model identifiability under the sublinear growth assumption.…

统计方法学 · 统计学 2025-05-01 Chunlin Li , Xiaotong Shen , Wei Pan

Graphical models can represent a multivariate distribution in a convenient and accessible form as a graph. Causal models can be viewed as a special class of graphical models that not only represent the distribution of the observed system…

统计方法学 · 统计学 2017-06-29 Christina Heinze-Deml , Marloes H. Maathuis , Nicolai Meinshausen

Causal discovery has achieved substantial theoretical progress, yet its deployment in large-scale longitudinal systems remains limited. A key obstacle is that operational data are generated under institutional workflows whose induced…

统计方法学 · 统计学 2026-03-02 Tadahisa Okuda , Shohei Shimizu , Thong Pham , Tatsuyoshi Ikenoue , Shingo Fukuma

Heterogeneous graph neural networks have become popular in various domains. However, their generalizability and interpretability are limited due to the discrepancy between their inherent inference flows and human reasoning logic or…

Causal representation learning aims to recover the latent causal variables and their causal relations, typically represented by directed acyclic graphs (DAGs), from low-level observations such as image pixels. A prevailing line of research…

机器学习 · 计算机科学 2026-04-28 Ignavier Ng , Shaoan Xie , Xinshuai Dong , Peter Spirtes , Kun Zhang

Causal inference from observational data following the restricted structural causal model (SCM) framework hinges largely on the asymmetry between cause and effect from the data generating mechanisms, such as non-Gaussianity or nonlinearity.…

统计方法学 · 统计学 2021-09-06 Kang Du , Yu Xiang

Structural Equation Models (SEM) are the standard approach to representing causal dependencies between variables in causal models. In this paper we propose a new interpretation of SEMs when reasoning about Actual Causality, in which SEMs…

人工智能 · 计算机科学 2025-12-23 Maksim Gladyshev , Natasha Alechina , Mehdi Dastani , Dragan Doder , Brian Logan

Learning the structure of causal directed acyclic graphs (DAGs) is useful in many areas of machine learning and artificial intelligence, with wide applications. However, in the high-dimensional setting, it is challenging to obtain good…

机器学习 · 统计学 2024-05-27 Stephen Smith , Qing Zhou

In this paper, we develop a generic methodology to encode hierarchical causality structure among observed variables into a neural network in order to improve its predictive performance. The proposed methodology, called causality-informed…

机器学习 · 计算机科学 2024-12-25 Xiaoge Zhang , Xiao-Lin Wang , Fenglei Fan , Yiu-Ming Cheung , Indranil Bose