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We consider modeling a binary response variable together with a set of covariates for two groups under observational data. The grouping variable can be the confounding variable (the common cause of treatment and outcome), gender,…

统计方法学 · 统计学 2023-04-13 Rasool Tahmasbi , Keyvan Tahmasbi

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

Bayesian networks are a widely-used class of probabilistic graphical models capable of representing symmetric conditional independence between variables of interest using the topology of the underlying graph. For categorical variables, they…

机器学习 · 统计学 2022-10-07 Gherardo Varando , Federico Carli , Manuele Leonelli

We study a distributed learning problem in which learning agents are embedded in a directed acyclic graph (DAG). There is a fixed and arbitrary distribution over feature/label pairs, and each agent or vertex in the graph is able to directly…

机器学习 · 计算机科学 2025-10-13 Michael Kearns , Aaron Roth , Emily Ryu

Every directed acyclic graph (DAG) over a finite non-empty set of variables (= nodes) N induces an independence model over N, which is a list of conditional independence statements over N.The inclusion problem is how to characterize (in…

人工智能 · 计算机科学 2013-01-14 Tomas Kocka , Remco R. Bouckaert , Milan Studeny

In causal graphical models based on directed acyclic graphs (DAGs), directed paths represent causal pathways between the corresponding variables. The variable at the beginning of such a path is referred to as an ancestor of the variable at…

机器学习 · 计算机科学 2021-05-24 Wenyu Chen , Mathias Drton , Ali Shojaie

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

The invariance properties of interventional distributions relative to the observational distribution, and how these properties allow us to refine Markov equivalence classes (MECs) of DAGs, is central to causal DAG discovery algorithms that…

统计理论 · 数学 2020-06-09 Liam Solus

The assumption that data samples are independent and identically distributed (iid) is standard in many areas of statistics and machine learning. Nevertheless, in some settings, such as social networks, infectious disease modeling, and…

统计方法学 · 统计学 2019-02-06 Eli Sherman , Ilya Shpitser

We consider the problem of learning causal Directed Acyclic Graphs (DAGs) using combinations of observational and interventional experimental data. Current methods tailored to this setting assume that interventions either destroy…

统计方法学 · 统计学 2023-12-04 Alessandro Mascaro , Federico Castelletti

Causality is important for designing interpretable and robust methods in artificial intelligence research. We propose a local approach to identify whether a variable is a cause of a given target under the framework of causal graphical…

机器学习 · 统计学 2022-03-08 Zhuangyan Fang , Yue Liu , Zhi Geng , Shengyu Zhu , Yangbo He

Viral information like rumors or fake news is spread over a communication network like a virus infection in a unidirectional manner: entity $i$ conveys information to a neighbor $j$, resulting in two equally informed (infected) parties.…

社会与信息网络 · 计算机科学 2023-12-25 Chinthaka Dinesh , Gene Cheung , Fei Chen , Yuejiang Li , H. Vicky Zhao

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 give a selective review of some recent developments in causal inference, intended for researchers who are not familiar with graphical models and causality, and with a focus on methods that are applicable to large data sets. We mainly…

统计方法学 · 统计学 2015-06-26 Marloes H. Maathuis , Preetam Nandy

A directed acyclic graph (DAG) provides valuable prior knowledge that is often discarded in regression tasks in machine learning. We show that the independences arising from the presence of collider structures in DAGs provide meaningful…

机器学习 · 统计学 2023-06-22 Shahine Bouabid , Jake Fawkes , Dino Sejdinovic

Ordered sequences of univariate or multivariate regressions provide statistical models for analysing data from randomized, possibly sequential interventions, from cohort or multi-wave panel studies, but also from cross-sectional or…

统计方法学 · 统计学 2015-03-19 Nanny Wermuth , Kayvan Sadeghi

Background: In epidemiology, causal inference and prediction modeling methodologies have been historically distinct. Directed Acyclic Graphs (DAGs) are used to model a priori causal assumptions and inform variable selection strategies for…

统计方法学 · 统计学 2020-07-03 Marco Piccininni , Stefan Konigorski , Jessica L Rohmann , Tobias Kurth

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

In this article, we propose a new hypothesis testing method for directed acyclic graph (DAG). While there is a rich class of DAG estimation methods, there is a relative paucity of DAG inference solutions. Moreover, the existing methods…

机器学习 · 统计学 2023-05-25 Chengchun Shi , Yunzhe Zhou , Lexin Li

Directed acyclic graphs (DAGs) are frequently used in epidemiology as a method to encode causal inference assumptions. We propose the DAGWOOD framework to bring many of those encoded assumptions to the forefront. DAGWOOD combines a root DAG…

统计方法学 · 统计学 2021-11-25 Noah A Haber , Mollie E Wood , Sarah Wieten , Alexander Breskin