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We introduce a new family of graphical models that consists of graphs with possibly directed, undirected and bidirected edges but without directed cycles. We show that these models are suitable for representing causal models with additive…

机器学习 · 统计学 2017-05-30 Jose M. Peña , Marcus Bendtsen

Causal discovery algorithms typically recover causal graphs only up to their Markov equivalence classes unless additional parametric assumptions are made. The sizes of these equivalence classes reflect the limits of what can be learned…

机器学习 · 统计学 2025-07-28 Erik Jahn , Frederick Eberhardt , Leonard J. Schulman

Precise knowledge of causal directed acyclic graphs (DAGs) is assumed for standard approaches towards valid adjustment set selection for unbiased estimation, but in practice, the DAG is often inferred from data or expert knowledge,…

统计理论 · 数学 2025-11-14 Zhongyi Hu , Stéphanie van der Pas

Causal inference with observational data critically relies on untestable and extra-statistical assumptions that have (sometimes) testable implications. Well-known sets of assumptions that are sufficient to justify the causal interpretation…

统计方法学 · 统计学 2024-02-20 Pablo Geraldo Bastías

Graphical Markov models determined by acyclic digraphs (ADGs), also called directed acyclic graphs (DAGs), are widely studied in statistics, computer science (as Bayesian networks), operations research (as influence diagrams), and many…

人工智能 · 计算机科学 2013-01-14 Steven B. Gillispie , Michael D. Perlman

Directed acyclic graphs (DAGs) are commonly used to model causal relationships among random variables. In general, learning the DAG structure is both computationally and statistically challenging. Moreover, without additional information,…

机器学习 · 统计学 2024-03-26 Ali Shojaie , Wenyu Chen

Directed acyclic graph (DAG) models, also called Bayesian networks, impose conditional independence constraints on a multivariate probability distribution, and are widely used in probabilistic reasoning, machine learning and causal…

统计理论 · 数学 2022-12-20 Robin J. Evans

Scientists often use directed acyclic graphs (days) to model the qualitative structure of causal theories, allowing the parameters to be estimated from observational data. Two causal models are equivalent if there is no experiment which…

人工智能 · 计算机科学 2013-04-05 Tom S. Verma , Judea Pearl

We address the problem of causal discovery from data, making use of the recently proposed causal modeling framework of modular structural causal models (mSCM) to handle cycles, latent confounders and non-linearities. We introduce…

机器学习 · 统计学 2022-08-31 Patrick Forré , Joris M. Mooij

Healthcare artificial intelligence systems often degrade in performance when deployed across institutions, with documented performance drops and perpetuation of discriminatory patterns embedded in data. This brittleness comes, in part, from…

机器学习 · 计算机科学 2026-03-30 Munib Mesinovic , Max Buhlan , Tingting Zhu

From longitudinal biomedical studies to social networks, graphs have emerged as a powerful framework for describing evolving interactions between agents in complex systems. In such studies, after pre-processing, the data can be represented…

应用统计 · 统计学 2018-03-12 Claire Donnat , Susan Holmes

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

Discovery of causal relationships from observational data is an important problem in many areas. Several recent results have established the identifiability of causal DAGs with non-Gaussian and/or nonlinear structural equation models…

机器学习 · 统计学 2020-12-15 Bingling Wang , Qing Zhou

Many methods for causal inference generate directed acyclic graphs (DAGs) that formalize causal relations between $n$ variables. Given the joint distribution on all these variables, the DAG contains all information about how intervening on…

We consider the problem of learning the underlying causal structure among a set of variables, which are assumed to follow a Bayesian network or, more specifically, a linear recursive structural equation model (SEM) with the associated…

统计理论 · 数学 2025-08-05 Anamitra Chaudhuri , Anirban Bhattacharya , Yang Ni

DAG models are statistical models satisfying a collection of conditional independence relations encoded by the nonedges of a directed acyclic graph (DAG) $\mathcal{G}$. Such models are used to model complex cause-effect systems across a…

组合数学 · 数学 2017-06-21 Adityanarayanan Radhakrishnan , Liam Solus , Caroline Uhler

Causal discovery algorithms aim at untangling complex causal relationships from data. Here, we study causal discovery and inference methods based on staged tree models, which can represent complex and asymmetric causal relationships between…

统计方法学 · 统计学 2023-03-02 Manuele Leonelli , Gherardo Varando

Causal inference methods for observational data are increasingly recognized as a valuable complement to randomized clinical trials (RCTs). They can, under strong assumptions, emulate RCTs or help refine their focus. Our approach to causal…

统计方法学 · 统计学 2024-08-14 Carlo Berzuini , Davide Luciani , Hiren C. Patel

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

Causal diagrams are logic and graphical tools that depict assumptions about presumed causal relations. Such diagrams have proven effective in tackling a variety of problems in social sciences and epidemiology research yet remain foreign to…

应用统计 · 统计学 2023-06-29 M. Z. Naser