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Graph-based causal discovery methods aim to capture conditional independencies consistent with the observed data and differentiate causal relationships from indirect or induced ones. Successful construction of graphical models of data…

机器学习 · 统计学 2021-01-08 Boris Hayete , Fred Gruber , Anna Decker , Raymond Yan

Inferring the potential consequences of an unobserved event is a fundamental scientific question. To this end, Pearl's celebrated do-calculus provides a set of inference rules to derive an interventional probability from an observational…

离散数学 · 计算机科学 2021-08-10 Benjamin Heymann , Michel de Lara , Jean-Philippe Chancelier

Counterfactual reasoning allows us to explore hypothetical scenarios in order to explain the impacts of our decisions. However, addressing such inquires is impossible without establishing the appropriate mathematical framework. In this…

机器学习 · 计算机科学 2025-06-25 Kurt Butler , Marija Iloska , Petar M. Djuric

Directed acyclic graphs (DAGs) are commonly used to represent causal relationships among random variables in graphical models. Applications of these models arise in the study of physical, as well as biological systems, where directed edges…

机器学习 · 统计学 2009-12-01 Ali Shojaie , George Michailidis

Causal graphs (CGs) are compact representations of the knowledge of the data generating processes behind the data distributions. When a CG is available, e.g., from the domain knowledge, we can infer the conditional independence (CI)…

机器学习 · 计算机科学 2021-08-18 Takeshi Teshima , Masashi Sugiyama

A common theme in causal inference is learning causal relationships between observed variables, also known as causal discovery. This is usually a daunting task, given the large number of candidate causal graphs and the combinatorial nature…

机器学习 · 统计学 2022-10-11 Romain Lopez , Jan-Christian Hütter , Jonathan K. Pritchard , Aviv Regev

Estimating the structure of Bayesian networks as directed acyclic graphs (DAGs) from observational data is a fundamental challenge, particularly in causal discovery. Bayesian approaches excel by quantifying uncertainty and addressing…

机器学习 · 计算机科学 2026-02-17 Edwin V. Bonilla , Pantelis Elinas , He Zhao , Maurizio Filippone , Vassili Kitsios , Terry O'Kane

A Bayesian Network is a directed acyclic graph (DAG) on a set of $n$ random variables (the vertices); a Bayesian Network Distribution (BND) is a probability distribution on the random variables that is Markovian on the graph. A finite…

机器学习 · 计算机科学 2023-06-01 Spencer L. Gordon , Bijan Mazaheri , Yuval Rabani , Leonard J. Schulman

We develop estimation for potentially high-dimensional additive structural equation models. A key component of our approach is to decouple order search among the variables from feature or edge selection in a directed acyclic graph encoding…

统计方法学 · 统计学 2014-12-02 Peter Bühlmann , Jonas Peters , Jan Ernest

This paper concerns the assessment of the effects of actions from a combination of nonexperimental data and causal assumptions encoded in the form of a directed acyclic graph in which some variables are presumed to be unobserved. We provide…

人工智能 · 计算机科学 2012-07-19 Jin Tian

We consider the problem of estimating the counterfactual joint distribution of multiple quantities of interests (e.g., outcomes) in a multivariate causal model extended from the classical difference-in-difference design. Existing methods…

机器学习 · 统计学 2023-11-03 Thong Pham , Shohei Shimizu , Hideitsu Hino , Tam Le

Causal discovery, the learning of causality in a data mining scenario, has been of strong scientific and theoretical interest as a starting point to identify "what causes what?" Contingent on assumptions and a proper learning algorithm, it…

统计方法学 · 统计学 2022-05-23 Gabriel Ruiz , Oscar Hernan Madrid Padilla , Qing Zhou

This paper studies the causal representation learning problem when the latent causal variables are observed indirectly through an unknown linear transformation. The objectives are: (i) recovering the unknown linear transformation (up to…

机器学习 · 统计学 2023-05-02 Burak Varici , Emre Acarturk , Karthikeyan Shanmugam , Abhishek Kumar , Ali Tajer

Consider the case where causal relations among variables can be described as a Gaussian linear structural equation model. This paper deals with the problem of clarifying how the variance of a response variable would have changed if a…

人工智能 · 计算机科学 2012-07-09 Zhihong Cai , Manabu Kuroki

We consider the problem of answering observational, interventional, and counterfactual queries in a causally sufficient setting where only observational data and the causal graph are available. Utilizing the recent developments in diffusion…

机器学习 · 统计学 2024-10-11 Patrick Chao , Patrick Blöbaum , Sapan Patel , Shiva Prasad Kasiviswanathan

Observational studies in fields such as epidemiology often rely on covariate adjustment to estimate causal effects. Classical graphical criteria, like the back-door criterion and the generalized adjustment criterion, are powerful tools for…

统计方法学 · 统计学 2025-12-24 Isabela Belciug , Simon Ferreira , Charles K. Assaad

Background: There is increasing interest in approaches for analyzing the effect of exposure mixtures on health. A key issue is how to simultaneously analyze often highly collinear components of the mixture, which can create problems such as…

统计方法学 · 统计学 2020-07-06 Thomas F. Webster , Marc G. Weisskopf

Acyclic model, often depicted as a directed acyclic graph (DAG), has been widely employed to represent directional causal relations among collected nodes. In this article, we propose an efficient method to learn linear non-Gaussian DAG in…

机器学习 · 统计学 2021-11-02 Ruixuan Zhao , Xin He , Junhui Wang

Estimating an individual's potential outcomes under counterfactual treatments is a challenging task for traditional causal inference and supervised learning approaches when the outcome is high-dimensional (e.g. gene expressions, impulse…

Notions of minimal sufficient causation are incorporated within the directed acyclic graph causal framework. Doing so allows for the graphical representation of sufficient causes and minimal sufficient causes on causal directed acyclic…

统计理论 · 数学 2009-06-10 Tyler J. VanderWeele , James M. Robins