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We consider graphs that represent pairwise marginal independencies amongst a set of variables (for instance, the zero entries of a covariance matrix for normal data). We characterize the directed acyclic graphs (DAGs) that faithfully…

人工智能 · 计算机科学 2015-08-04 Johannes Textor , Alexander Idelberger , Maciej Liśkiewicz

This paper is a Systematization of Knowledge (SoK) on Directed Acyclic Graph (DAG)-based consensus protocols, analyzing their performance and trade-offs within the framework of consistency, availability, and partition tolerance inspired by…

分布式、并行与集群计算 · 计算机科学 2025-04-23 Mayank Raikwar , Nikita Polyanskii , Sebastian Müller

Reasoning about the effect of interventions and counterfactuals is a fundamental task found throughout the data sciences. A collection of principles, algorithms, and tools has been developed for performing such tasks in the last decades…

统计方法学 · 统计学 2023-02-08 Tara V. Anand , Adèle H. Ribeiro , Jin Tian , Elias Bareinboim

To date, most directed acyclic graphs (DAGs) structure learning approaches require data to be stored in a central server. However, due to the consideration of privacy protection, data owners gradually refuse to share their personalized raw…

机器学习 · 计算机科学 2023-01-18 Erdun Gao , Junjia Chen , Li Shen , Tongliang Liu , Mingming Gong , Howard Bondell

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

Different directed acyclic graphs (DAGs) may be Markov equivalent in the sense that they entail the same conditional independence relations among the observed variables. Meek (1995) characterizes Markov equivalence classes for DAGs (with no…

统计方法学 · 统计学 2012-06-26 Jiji Zhang

DAGitty is a software for drawing and analyzing causal diagrams, also known as directed acyclic graphs (DAGs). Functions include identification of minimal sufficient adjustment sets for estimating causal effects, diagnosis of insufficient…

人工智能 · 计算机科学 2015-08-20 Johannes Textor

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

In observational studies, when a total causal effect of interest is not identified, the set of all possible effects can be reported instead. This typically occurs when the underlying causal DAG is only known up to a Markov equivalence…

统计理论 · 数学 2021-03-04 F. Richard Guo , Emilija Perković

We develop a necessary and sufficient causal identification criterion for maximally oriented partially directed acyclic graphs (MPDAGs). MPDAGs as a class of graphs include directed acyclic graphs (DAGs), completed partially directed…

统计理论 · 数学 2025-07-23 Emilija Perković

We introduce a structure for the directed acyclic graph (DAG) and a mechanism design based on that structure so that peers can reach consensus at large scale based on proof of work (PoW). We also design a mempool transaction assignment…

分布式、并行与集群计算 · 计算机科学 2019-01-10 Jiahao He , Guangju Wang , Guangyuan Zhang , Jiheng Zhang

Directed acyclic graphs (DAGs) encode a lot of information about a particular distribution in their structure. However, compute required to infer these structures is typically super-exponential in the number of variables, as inference…

机器学习 · 计算机科学 2023-06-13 Jeroen Berrevoets , Nabeel Seedat , Fergus Imrie , Mihaela van der Schaar

In complex multivariate systems, interactions among variables are defined by dependency structures, often encoded as directed acyclic graphs ($\text{DAGs}$). However, dependency structures can vary across subjects, and ignoring this…

机器学习 · 统计学 2026-05-20 Honglin Du , Muxuan Liang , Xiang Zhong

We describe a new paradigm for implementing inference in belief networks, which consists of two steps: (1) compiling a belief network into an arithmetic expression called a Query DAG (Q-DAG); and (2) answering queries using a simple…

人工智能 · 计算机科学 2009-09-25 A. Darwiche , G. Provan

A growing body of work has begun to study intervention design for efficient structure learning of causal directed acyclic graphs (DAGs). A typical setting is a causally sufficient setting, i.e. a system with no latent confounders, selection…

We propose a linear-time, single-pass, top-down algorithm for multiple testing on directed acyclic graphs (DAGs), where nodes represent hypotheses and edges specify a partial ordering in which hypotheses must be tested. The procedure is…

统计方法学 · 统计学 2018-12-06 Aaditya Ramdas , Jianbo Chen , Martin J. Wainwright , Michael I. Jordan

Data simulation is fundamental for machine learning and causal inference, as it allows exploration of scenarios and assessment of methods in settings with full control of ground truth. Directed acyclic graphs (DAGs) are well established for…

人工智能 · 计算机科学 2023-05-10 Ghadi S. Al Hajj , Johan Pensar , Geir Kjetil Sandve

Multiprocessor scheduling of hard real-time tasks modeled by directed acyclic graphs (DAGs) exploits the inherent parallelism presented by the model. For DAG tasks, a node represents a request to execute an object on one of the available…

分布式、并行与集群计算 · 计算机科学 2020-03-02 Corey Tessler , Venkata P. Modekurthy , Nathan Fisher , Abusayeed Saifullah

Learning DAG structures from purely observational data remains a long-standing challenge across scientific domains. An emerging line of research leverages the score of the data distribution to initially identify a topological order of the…

机器学习 · 计算机科学 2026-01-27 Vy Vo , He Zhao , Trung Le , Edwin V. Bonilla , Dinh Phung

Recent advances have established the identifiability of a directed acyclic graph (DAG) under additive noise models (ANMs), spurring the development of various causal discovery methods. However, most existing methods make restrictive model…

机器学习 · 统计学 2026-04-24 Stella Huang , Qing Zhou