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Directed acyclic graph (DAG) learning is a central task in structure discovery and causal inference. Although the field has witnessed remarkable advances over the past few years, it remains statistically and computationally challenging to…

机器学习 · 统计学 2026-02-09 Ryan Thompson , Edwin V. Bonilla , Robert Kohn

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

Time-series forecasting increasingly demands not only accurate observational predictions but also causal forecasting under interventional and counterfactual queries in multivariate systems. We present DoFlow, a flow-based generative model…

机器学习 · 统计学 2026-03-03 Dongze Wu , Feng Qiu , Yao Xie

We introduce a new method to estimate the Markov equivalence class of a directed acyclic graph (DAG) in the presence of hidden variables, in settings where the underlying DAG among the observed variables is sparse, and there are a few…

统计方法学 · 统计学 2018-08-07 Benjamin Frot , Preetam Nandy , Marloes H. Maathuis

A causal vector autoregressive (CVAR) model is introduced for weakly stationary multivariate processes, combining a recursive directed graphical model for the contemporaneous components and a vector autoregressive model longitudinally.…

We introduce a nonparametric graphical model for discrete node variables based on additive conditional independence. Additive conditional independence is a three way statistical relation that shares similar properties with conditional…

统计方法学 · 统计学 2021-12-30 Jun Tao , Bing Li , Lingzhou Xue

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

Causal processes in biomedicine may contain cycles, evolve over time or differ between populations. However, many graphical models cannot accommodate these conditions. We propose to model causation using a mixture of directed cyclic graphs…

机器学习 · 统计学 2020-09-08 Eric V. Strobl

We establish finite-sample guarantees for a polynomial-time algorithm for learning a nonlinear, nonparametric directed acyclic graphical (DAG) model from data. The analysis is model-free and does not assume linearity, additivity,…

机器学习 · 统计学 2020-11-12 Ming Gao , Yi Ding , Bryon Aragam

Conditional independence models associated with directed acyclic graphs (DAGs) may be characterized in at least three different ways: via a factorization, the global Markov property (given by the d-separation criterion), and the local…

统计方法学 · 统计学 2023-09-27 Thomas S. Richardson , Robin J. Evans , James M. Robins , Ilya Shpitser

Directed acyclic graphs (DAGs) serve as crucial data representations in domains such as hardware synthesis and compiler/program optimization for computing systems. DAG generative models facilitate the creation of synthetic DAGs, which can…

机器学习 · 计算机科学 2025-03-04 Mufei Li , Viraj Shitole , Eli Chien , Changhai Man , Zhaodong Wang , Srinivas Sridharan , Ying Zhang , Tushar Krishna , Pan Li

Causal structure learning has long been the central task of inferring causal insights from data. Despite the abundance of real-world processes exhibiting higher-order mechanisms, however, an explicit treatment of interactions in causal…

机器学习 · 计算机科学 2025-11-07 James Enouen , Yujia Zheng , Ignavier Ng , Yan Liu , Kun Zhang

Learning directed acyclic graph (DAG) that describes the causality of observed data is a very challenging but important task. Due to the limited quantity and quality of observed data, and non-identifiability of causal graph, it is almost…

机器学习 · 计算机科学 2022-11-23 Dezhi Yang , Guoxian Yu , Jun Wang , Zhengtian Wu , Maozu Guo

We assume that we have observational data generated from an unknown underlying directed acyclic graph (DAG) model. A DAG is typically not identifiable from observational data, but it is possible to consistently estimate the equivalence…

统计方法学 · 统计学 2009-09-02 Marloes H. Maathuis , Markus Kalisch , Peter Bühlmann

Dependency knowledge of the form "x is independent of y once z is known" invariably obeys the four graphoid axioms, examples include probabilistic and database dependencies. Often, such knowledge can be represented efficiently with…

人工智能 · 计算机科学 2013-04-10 Tom S. Verma , Judea Pearl

Social science theories often postulate causal relationships among a set of variables or events. Although directed acyclic graphs (DAGs) are increasingly used to represent these theories, their full potential has not yet been realized in…

机器学习 · 统计学 2024-01-17 Sourabh Balgi , Adel Daoud , Jose M. Peña , Geoffrey T. Wodtke , Jesse Zhou

Directed acyclic graphs (DAGs) are a popular framework to express multivariate probability distributions. Acyclic directed mixed graphs (ADMGs) are generalizations of DAGs that can succinctly capture much richer sets of conditional…

机器学习 · 统计学 2010-09-01 Ricardo Silva , Charles Blundell , Yee Whye Teh

We develop a novel convolutional architecture tailored for learning from data defined over directed acyclic graphs (DAGs). DAGs can be used to model causal relationships among variables, but their nilpotent adjacency matrices pose unique…

机器学习 · 计算机科学 2024-05-07 Samuel Rey , Hamed Ajorlou , Gonzalo Mateos

Causal structure learning from observational data remains a non-trivial task due to various factors such as finite sampling, unobserved confounding factors, and measurement errors. Constraint-based and score-based methods tend to suffer…

机器学习 · 计算机科学 2022-11-09 Rezaur Rashid , Jawad Chowdhury , Gabriel Terejanu

Existing tools for explaining complex models and systems are associational rather than causal and do not provide mechanistic understanding. We propose a new notion called counterfactual explainability for causal attribution that is…

机器学习 · 统计学 2025-10-07 Zijun Gao , Qingyuan Zhao