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This paper presents the current state of the art on attack and defense modeling approaches that are based on directed acyclic graphs (DAGs). DAGs allow for a hierarchical decomposition of complex scenarios into simple, easily understandable…

密码学与安全 · 计算机科学 2013-04-01 Barbara Kordy , Ludovic Piètre-Cambacédès , Patrick Schweitzer

When designing new molecules with particular properties, it is not only important what to make but crucially how to make it. These instructions form a synthesis directed acyclic graph (DAG), describing how a large vocabulary of simple…

We study identifiability of Andersson-Madigan-Perlman (AMP) chain graph models, which are a common generalization of linear structural equation models and Gaussian graphical models. AMP models are described by DAGs on chain components which…

数据结构与算法 · 计算机科学 2021-06-18 Yuhao Wang , Arnab Bhattacharyya

We study reachability and shortest paths problems in dynamic directed graphs. Whereas algebraic dynamic data structures supporting edge updates and reachability/distance queries have been known for quite a long time, they do not, in…

数据结构与算法 · 计算机科学 2022-04-01 Adam Karczmarz , Anish Mukherjee , Piotr Sankowski

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

Directed acyclic graph (DAG) models are popular for capturing causal relationships. From observational and interventional data, a DAG model can only be determined up to its \emph{interventional Markov equivalence class} (I-MEC). We…

机器学习 · 统计学 2019-03-07 Dmitriy Katz , Karthikeyan Shanmugam , Chandler Squires , Caroline Uhler

To represent the causal relationships between variables, a directed acyclic graph (DAG) is widely utilized in many areas, such as social sciences, epidemics, and genetics. Many causal structure learning approaches are developed to learn the…

机器学习 · 统计学 2025-01-14 Jianian Wang , Rui Song

Analyzing multi-layered graphical models provides insight into understanding the conditional relationships among nodes within layers after adjusting for and quantifying the effects of nodes from other layers. We obtain the penalized maximum…

统计方法学 · 统计学 2016-01-06 Jiahe Lin , Sumanta Basu , Moulinath Banerjee , George Michailidis

Learning the directed acyclic graph (DAG) structure of a Bayesian network from observational data is a notoriously difficult problem for which many hardness results are known. In this paper we propose a provably polynomial-time algorithm…

机器学习 · 计算机科学 2019-06-04 Asish Ghoshal , Jean Honorio

Different directed acyclic graphs (DAGs) may be Markov equivalent in the sense that they entail the same conditional independence relations among the observed variables. Chickering (1995) provided a transformational characterization of…

人工智能 · 计算机科学 2012-07-09 Jiji Zhang , Peter L. Spirtes

Directed Acyclic Graphs (DAGs) provide a powerful framework to model causal relationships among variables in multivariate settings; in addition, through the do-calculus theory, they allow for the identification and estimation of causal…

机器学习 · 统计学 2022-01-31 Federico Castelletti , Alessandro Mascaro

This paper explores the conditions for determining fixed nodes in structured networks, specifically focusing on directed acyclic graphs (DAGs). We introduce several necessary and sufficient conditions for determining fixed nodes in…

一般拓扑 · 数学 2025-09-08 Nam-jin Park , Yeong-Ung Kim , Hyo-Sung Ahn

In this paper, we study classes of graphs with three types of edges that capture the modified independence structure of a directed acyclic graph (DAG) after marginalisation over unobserved variables and conditioning on selection variables…

其他统计学 · 统计学 2013-12-18 Kayvan Sadeghi

Directed acyclic graphs (DAGs) are a class of graphs commonly used in practice, with examples that include electronic circuits, Bayesian networks, and neural architectures. While many effective encoders exist for DAGs, it remains…

机器学习 · 计算机科学 2025-05-30 Michael Sun , Orion Foo , Gang Liu , Wojciech Matusik , Jie Chen

Understanding the causal relationships between data variables can provide crucial insights into the construction of tabular datasets. Most existing causality learning methods typically focus on applying a single identifiable causal model,…

机器学习 · 计算机科学 2026-04-07 Hristo Petkov , Calum MacLellan , Feng Dong

Directed acyclic graph (DAG) tasks are currently adopted in the real-time domain to model complex applications from the automotive, avionics, and industrial domains that implement their functionalities through chains of intercommunicating…

机器学习 · 计算机科学 2024-01-12 Binqi Sun , Mirco Theile , Ziyuan Qin , Daniele Bernardini , Debayan Roy , Andrea Bastoni , Marco Caccamo

Linear non-Gaussian causal models postulate that each random variable is a linear function of parent variables and non-Gaussian exogenous error terms. We study identification of the linear coefficients when such models contain latent…

统计方法学 · 统计学 2026-03-05 Daniele Tramontano , Mathias Drton , Jalal Etesami

Learning a Bayesian network (BN) from data can be useful for decision-making or discovering causal relationships. However, traditional methods often fail in modern applications, which exhibit a larger number of observed variables than data…

统计计算 · 统计学 2018-06-26 Raj Agrawal , Tamara Broderick , Caroline Uhler

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

Networks arising from social, technological and natural domains exhibit rich connectivity patterns and nodes in such networks are often labeled with attributes or features. We address the question of modeling the structure of networks where…

社会与信息网络 · 计算机科学 2011-06-28 Myunghwan Kim , Jure Leskovec
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