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We present a graphical criterion for covariate adjustment that is sound and complete for four different classes of causal graphical models: directed acyclic graphs (DAGs), maximum ancestral graphs (MAGs), completed partially directed…

统计理论 · 数学 2018-06-20 Emilija Perković , Johannes Textor , Markus Kalisch , Marloes H. Maathuis

The increasing availability of interventional data offers new opportunities for causal discovery, with gene perturbation studies providing a prominent example. Such data are typically count-valued and subject to substantial measurement…

统计方法学 · 统计学 2026-03-30 Yijiao Zhang , Hongzhe Li

Learning the causal structure that underlies data is a crucial step towards robust real-world decision making. The majority of existing work in causal inference focuses on determining a single directed acyclic graph (DAG) or a Markov…

From observational data alone, a causal DAG is only identifiable up to Markov equivalence. Interventional data generally improves identifiability; however, the gain of an intervention strongly depends on the intervention target, that is,…

统计方法学 · 统计学 2014-06-03 Alain Hauser , Peter Bühlmann

Constraint-based causal discovery algorithms learn part of the causal graph structure by systematically testing conditional independences observed in the data. These algorithms, such as the PC algorithm and its variants, rely on graphical…

人工智能 · 计算机科学 2023-10-31 Murat Kocaoglu

Due to its human-interpretability and invariance properties, Directed Acyclic Graph (DAG) has been a foundational tool across various areas of AI research, leading to significant advancements. However, DAG learning remains highly…

机器学习 · 计算机科学 2025-06-24 Naiyu Yin , Tian Gao , Yue Yu

Directed Acyclic Graphs (DAGs) are central to uncovering causal structure in complex systems, yet learning a single DAG from data is often challenging: model uncertainty, finite samples, and a combinatorially large search space frequently…

统计方法学 · 统计学 2026-05-19 Yunan Wu , Yue Wang , Chunlin Li , Chenglong Ye

We propose a novel score-based approach to learning a directed acyclic graph (DAG) from observational data. We adapt a recently proposed continuous constrained optimization formulation to allow for nonlinear relationships between variables…

机器学习 · 计算机科学 2020-02-19 Sébastien Lachapelle , Philippe Brouillard , Tristan Deleu , Simon Lacoste-Julien

We present a sound and complete algorithm, called iterative causal discovery (ICD), for recovering causal graphs in the presence of latent confounders and selection bias. ICD relies on the causal Markov and faithfulness assumptions and…

机器学习 · 计算机科学 2022-01-19 Raanan Y. Rohekar , Shami Nisimov , Yaniv Gurwicz , Gal Novik

An acyclic causal structure can be described with directed acyclic graph (DAG), where arrows indicate the possibility of direct causation. The task of learning this structure from data is known as "causal discovery." Diverse populations or…

机器学习 · 计算机科学 2024-10-17 Bijan Mazaheri , Spencer Gordon , Yuval Rabani , Leonard Schulman

This paper studies the problem of learning the correlation structure of a set of intervention functions defined on the directed acyclic graph (DAG) of a causal model. This is useful when we are interested in jointly learning the causal…

机器学习 · 统计学 2020-09-29 Virginia Aglietti , Theodoros Damoulas , Mauricio Álvarez , Javier González

This article surveys the variety of ways in which a directed acyclic graph (DAG) can be used to represent a problem of probabilistic causality. For each of these we describe the relevant formal or informal semantics governing that…

统计理论 · 数学 2024-02-16 Philip Dawid

Understanding the causal relationships between data variables can provide crucial insights into the construction of tabular datasets. Most existing causality learning methods typically focus on applying a single identifiable causal model,…

机器学习 · 计算机科学 2026-04-07 Hristo Petkov , Calum MacLellan , Feng Dong

The number of artificial intelligence algorithms for learning causal models from data is growing rapidly. Most ``causal discovery'' or ``causal structure learning'' algorithms are primarily validated through simulation studies. However, no…

统计方法学 · 统计学 2024-05-24 Bryan Andrews , Erich Kummerfeld

We consider the problem of discovering $K$ related Gaussian directed acyclic graphs (DAGs), where the involved graph structures share a consistent causal order and sparse unions of supports. Under the multi-task learning setting, we propose…

机器学习 · 计算机科学 2021-11-05 Xinshi Chen , Haoran Sun , Caleb Ellington , Eric Xing , Le Song

The sizes of Markov equivalence classes of directed acyclic graphs play important roles in measuring the uncertainty and complexity in causal learning. A Markov equivalence class can be represented by an essential graph and its undirected…

机器学习 · 统计学 2016-10-26 Yangbo He , Bin Yu

Identification theory for causal effects in causal models associated with hidden variable directed acyclic graphs (DAGs) is well studied. However, the corresponding algorithms are underused due to the complexity of estimating the…

机器学习 · 统计学 2022-10-17 Rohit Bhattacharya , Razieh Nabi , Ilya Shpitser

A new class of models for dynamic networks is proposed, called mutually exciting point process graphs (MEG). MEG is a scalable network-wide statistical model for point processes with dyadic marks, which can be used for anomaly detection…

社会与信息网络 · 计算机科学 2023-10-25 Francesco Sanna Passino , Nicholas A. Heard

This paper considers inference of causal structure in a class of graphical models called "conditional DAGs". These are directed acyclic graph (DAG) models with two kinds of variables, primary and secondary. The secondary variables are used…

统计方法学 · 统计学 2014-11-12 Chris J. Oates , Jim Q. Smith , Sach Mukherjee

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