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It is well known that there may be many causal explanations that are consistent with a given set of data. Recent work has been done to represent the common aspects of these explanations into one representation. In this paper, we address…

统计方法学 · 统计学 2012-07-09 Ayesha R. Ali , Thomas S. Richardson , Peter L. Spirtes , Jiji Zhang

Principled reasoning about the identifiability of causal effects from non-experimental data is an important application of graphical causal models. This paper focuses on effects that are identifiable by covariate adjustment, a commonly used…

人工智能 · 计算机科学 2019-01-25 Benito van der Zander , Maciej Liśkiewicz , Johannes Textor

Symmetric independence relations are often studied using graphical representations. Ancestral graphs or acyclic directed mixed graphs with $m$-separation provide classes of symmetric graphical independence models that are closed under…

统计理论 · 数学 2020-09-14 Søren Wengel Mogensen , Niels Richard Hansen

Causal discovery aims to learn causal relationships between variables from targeted data, making it a fundamental task in machine learning. However, causal discovery algorithms often rely on unverifiable causal assumptions, which are…

机器学习 · 计算机科学 2025-10-15 Huiyang Yi , Yanyan He , Duxin Chen , Mingyu Kang , He Wang , Wenwu Yu

We introduce a novel class of labeled directed acyclic graph (LDAG) models for finite sets of discrete variables. LDAGs generalize earlier proposals for allowing local structures in the conditional probability distribution of a node, such…

机器学习 · 统计学 2014-11-12 Johan Pensar , Henrik Nyman , Timo Koski , Jukka Corander

Many questions in science center around the fundamental problem of understanding causal relationships. However, most constraint-based causal discovery algorithms, including the well-celebrated PC algorithm, often incur an exponential number…

机器学习 · 计算机科学 2024-06-05 Kirankumar Shiragur , Jiaqi Zhang , Caroline Uhler

Several causal discovery algorithms have been proposed. However, when the sample size is small relative to the number of variables, the accuracy of estimating causal graphs using existing methods decreases. And some methods are not feasible…

机器学习 · 统计学 2025-10-06 Ming Cai , Hisayuki Hara

Learning causal relationships between variables is a fundamental task in causal inference and directed acyclic graphs (DAGs) are a popular choice to represent the causal relationships. As one can recover a causal graph only up to its Markov…

机器学习 · 计算机科学 2024-02-14 Davin Choo , Kirankumar Shiragur

The assumed causal relationships depicted in a DAG are interpreted using a set of rules called D-separation rules. Although these rules can be implemented automatically using standard software, at least a basic understanding of their…

统计方法学 · 统计学 2025-02-20 Fernando Pires Hartwig , Timothy Feeney , Neil Davies

Real causal processes may contain feedback loops and change over time. In this paper, we model cycles and non-stationary distributions using a mixture of directed acyclic graphs (DAGs). We then study the conditional independence (CI)…

统计理论 · 数学 2019-09-16 Eric V. Strobl

Recovering causal relationships from data is an important problem. Using observational data, one can typically only recover causal graphs up to a Markov equivalence class and additional assumptions or interventional data are needed for…

机器学习 · 计算机科学 2023-05-31 Davin Choo , Kirankumar Shiragur

The predominant method for evaluating the quality of causal models is to measure the graphical accuracy of the learned model structure. We present an alternative method for evaluating causal models that directly measures the accuracy of…

人工智能 · 计算机科学 2016-08-17 Dan Garant , David Jensen

Pairwise causal background knowledge about the existence or absence of causal edges and paths is frequently encountered in observational studies. Such constraints allow the shared directed and undirected edges in the constrained subclass of…

人工智能 · 计算机科学 2026-01-06 Zhuangyan Fang , Ruiqi Zhao , Yue Liu , Yangbo He

Real-world networks grow over time; statistical models based on node exchangeability are not appropriate. Instead of constraining the structure of the \textit{distribution} of edges, we propose that the relevant symmetries refer to the…

社会与信息网络 · 计算机科学 2025-04-02 Gecia Bravo-Hermsdorff , Lee M. Gunderson , Kayvan Sadeghi

Pairwise comparison of graphs is key to many applications in Machine learning ranging from clustering, kernel-based classification/regression and more recently supervised graph prediction. Distances between graphs usually rely on…

机器学习 · 统计学 2023-09-29 Junjie Yang , Matthieu Labeau , Florence d'Alché-Buc

The problem of learning a directed acyclic graph (DAG) up to Markov equivalence is equivalent to the problem of finding a permutation of the variables that induces the sparsest graph. Without additional assumptions, this task is known to be…

统计方法学 · 统计学 2020-11-10 Chandler Squires , Joshua Amaniampong , Caroline Uhler

We develop a necessary and sufficient causal identification criterion for maximally oriented partially directed acyclic graphs (MPDAGs). MPDAGs as a class of graphs include directed acyclic graphs (DAGs), completed partially directed…

统计理论 · 数学 2025-07-23 Emilija Perković

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

Temporal graphs are commonly used to represent time-resolved relations between entities in many natural and artificial systems. Many techniques were devised to investigate the evolution of temporal graphs by comparing their state at…

社会与信息网络 · 计算机科学 2024-11-20 Lorenzo Dall'Amico , Alain Barrat , Ciro Cattuto

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