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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

We outline a representation for discrete multivariate distributions in terms of interventional potential functions that are globally normalized. This representation can be used to model the effects of interventions, and the independence…

机器学习 · 统计学 2012-05-14 Mark Schmidt , Kevin Murphy

Directed acyclic graphs provide a fundamental tool for representing directed dependence structures in multivariate network data, and are widely used to model financial and economic networks. However, accurate and interpretable estimation…

统计方法学 · 统计学 2026-05-26 Huihang Liu , Wenhui Li , Xinyu Zhang

Criteria for identifying optimal adjustment sets yielding consistent estimation with minimal asymptotic variance of average treatment effects in parametric and nonparametric models have recently been established. In a single treatment time…

统计理论 · 数学 2025-10-06 David Adenyo , Mireille E Schnitzer , David Berger , Jason R Guertin , Denis Talbot

Directed acyclic graphs are the basic representation of the structure underlying Bayesian networks, which represent multivariate probability distributions. In many practical applications, such as the reverse engineering of gene regulatory…

统计计算 · 统计学 2013-11-15 Jack Kuipers , Giusi Moffa

Quantifying causal effects of exposures on outcomes, such as a treatment and a disease respectively, is a crucial issue in medical science for the administration of effective therapies. Importantly, any related causal analysis should…

统计方法学 · 统计学 2024-09-04 Federico Castelletti , Laura Ferrini

In this paper, we investigate the identifiability of average controlled direct effects and average natural direct effects in causal systems represented by summary causal graphs, which are abstractions of full causal graphs, often used in…

人工智能 · 计算机科学 2025-10-10 Simon Ferreira , Charles K. Assaad

We study a family of regularized score-based estimators for learning the structure of a directed acyclic graph (DAG) for a multivariate normal distribution from high-dimensional data with $p\gg n$. Our main results establish support…

统计理论 · 数学 2017-10-03 Bryon Aragam , Arash A. Amini , Qing Zhou

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

Covariate adjustment is a commonly used method for total causal effect estimation. In recent years, graphical criteria have been developed to identify all valid adjustment sets, that is, all covariate sets that can be used for this purpose.…

统计理论 · 数学 2022-05-11 Leonard Henckel , Emilija Perković , Marloes H. Maathuis

Directed acyclic graphs have been used fruitfully to represent causal strucures (Pearl 1988). However, in the social sciences and elsewhere models are often used which correspond both causally and statistically to directed graphs with…

人工智能 · 计算机科学 2020-10-24 Thomas S. Richardson

The sequential analysis of series often requires nonparametric procedures, where the most powerful ones frequently use rank transformations. Re-ranking the data sequence after each new observation can become too intensive computationally.…

统计理论 · 数学 2018-12-27 W. J. Conover , Victor G. Tercero , Alvaro E. Cordero-Franco

Certifying feasibility in decision-making, critical in many industries, can be framed as a constraint satisfaction problem. This paper focuses on characterising a subset of parameter values from an a priori set that satisfy constraints on a…

系统与控制 · 电气工程与系统科学 2025-11-14 Max Mowbray , Nilay Shah , Benoît Chachuat

Suppose that a sequence of treatments are assigned to influence an outcome of interest that occurs after the last treatment. Between treatments there exist time-dependent covariates that may be posttreatment variables of the earlier…

统计方法学 · 统计学 2015-05-28 Li Yin , Xiaoqin Wang

We consider the problem of learning causal directed acyclic graphs from an observational joint distribution. One can use these graphs to predict the outcome of interventional experiments, from which data are often not available. We show…

机器学习 · 统计学 2016-08-18 Jonas Peters , Joris Mooij , Dominik Janzing , Bernhard Schölkopf

We consider the problem of estimating the parameters in a pairwise graphical model in which the distribution of each node, conditioned on the others, may have a different parametric form. In particular, we assume that each node's…

统计方法学 · 统计学 2014-08-05 Shizhe Chen , Daniela Witten , Ali Shojaie

Given a causal graph representing the data-generating process shared across different domains/distributions, enforcing sufficient graph-implied conditional independencies can identify domain-general (non-spurious) feature representations.…

机器学习 · 计算机科学 2024-04-26 Olawale Salaudeen , Sanmi Koyejo

We obtain new parameterized algorithms for the classical problem of determining whether a directed acyclic graph admits an upward planar drawing. Our results include a new fixed-parameter algorithm parameterized by the number of sources, an…

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

The use of directed acyclic graphs (DAGs) to represent conditional independence relations among random variables has proved fruitful in a variety of ways. Recursive structural equation models are one kind of DAG model. However,…

人工智能 · 计算机科学 2013-02-21 Peter L. Spirtes
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