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We present a novel form of Fourier analysis, and associated signal processing concepts, for signals (or data) indexed by edge-weighted directed acyclic graphs (DAGs). This means that our Fourier basis yields an eigendecomposition of a…

信号处理 · 电气工程与系统科学 2025-01-29 Bastian Seifert , Chris Wendler , Markus Püschel

Identification theory for causal effects in causal models associated with hidden variable directed acyclic graphs (DAGs) is well studied. However, the corresponding algorithms are underused due to the complexity of estimating the…

机器学习 · 统计学 2022-10-17 Rohit Bhattacharya , Razieh Nabi , Ilya Shpitser

Confounding of three binary-variables counterfactual model is discussed in this paper. According to the effect between the control variable and the covariate variable, we investigate three counterfactual models: the control variable is…

应用统计 · 统计学 2011-08-09 Jingwei Liu , Shuang Hu

The causal dependence in data is often characterized by Directed Acyclic Graphical (DAG) models, widely used in many areas. Causal discovery aims to recover the DAG structure using observational data. This paper focuses on causal discovery…

机器学习 · 计算机科学 2024-06-12 Boxin Zhao , Weishi Wang , Dingyuan Zhu , Ziqi Liu , Dong Wang , Zhiqiang Zhang , Jun Zhou , Mladen Kolar

This work aims to learn the directed acyclic graph (DAG) that captures the instantaneous dependencies underlying a multivariate time series. The observed data follow a linear structural vector autoregressive model (SVARM) with both…

信号处理 · 电气工程与系统科学 2025-12-09 Samuel Rey , Gonzalo Mateos

Directed acyclic graph models with hidden variables have been much studied, particularly in view of their computational efficiency and connection with causal methods. In this paper we provide the circumstances under which it is possible for…

统计理论 · 数学 2021-06-15 Robin J. Evans

We present a graphical approach to deriving inequality constraints for directed acyclic graph (DAG) models, where some variables are unobserved. In particular we show that the observed distribution of a discrete model is always restricted…

统计理论 · 数学 2012-09-14 Robin J. Evans

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

This paper concerns the assessment of direct causal effects from a combination of: (i) non-experimental data, and (ii) qualitative domain knowledge. Domain knowledge is encoded in the form of a directed acyclic graph (DAG), in which all…

人工智能 · 计算机科学 2013-01-07 Carlos Brito , Judea Pearl

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…

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

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

Causal inference aids researchers in discovering cause-and-effect relationships, leading to scientific insights. Accurate causal estimation requires identifying confounding variables to avoid false discoveries. Pearl's causal model uses…

机器学习 · 计算机科学 2025-04-22 Anna Zeng , Michael Cafarella , Batya Kenig , Markos Markakis , Brit Youngmann , Babak Salimi

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

Covariate adjustment is a widely used approach to estimate total causal effects from observational data. Several graphical criteria have been developed in recent years to identify valid covariates for adjustment from graphical causal…

统计理论 · 数学 2015-07-07 Emilija Perković , Johannes Textor , Markus Kalisch , Marloes H. Maathuis

Learning the causal structure that underlies data is a crucial step towards robust real-world decision making. The majority of existing work in causal inference focuses on determining a single directed acyclic graph (DAG) or a Markov…

We consider the problem of learning a set of direct causes of a target variable from an observational joint distribution. Learning directed acyclic graphs (DAGs) that represent the causal structure is a fundamental problem in science.…

统计方法学 · 统计学 2025-06-24 Juraj Bodik , Valérie Chavez-Demoulin

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

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

Causal inference is a critical task across fields such as healthcare, economics, and the social sciences. While recent advances in machine learning, especially those based on the deep-learning architectures, have shown potential in…

机器学习 · 统计学 2024-12-30 Manqing Liu , David R. Bellamy , Andrew L. Beam