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The number of artificial intelligence algorithms for learning causal models from data is growing rapidly. Most ``causal discovery'' or ``causal structure learning'' algorithms are primarily validated through simulation studies. However, no…

Methodology · Statistics 2024-05-24 Bryan Andrews , Erich Kummerfeld

Directed acyclic graphs (DAGs) and associated probability models are widely used to model neural connectivity and communication channels. In many experiments, data are collected from multiple subjects whose connectivities may differ but are…

Methodology · Statistics 2014-11-17 Chris J. Oates , Lilia Carneiro da Costa , Tom Nichols

Parallel real-time systems (e.g., autonomous driving systems) often contain functionalities with complex dependencies and execution uncertainties, leading to significant timing variability which can be represented as a probabilistic…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-04-08 Yiyang Gao , Shuai Zhao , Boyang Li , Xinwei Fang , Zhiyang Lin , Zhe Jiang , Nan Guan

One of the fundamental challenges to scale self-driving is being able to create accurate high definition maps (HD maps) with low cost. Current attempts to automate this process typically focus on simple scenarios, estimate independent maps…

Computer Vision and Pattern Recognition · Computer Science 2020-12-24 Namdar Homayounfar , Wei-Chiu Ma , Justin Liang , Xinyu Wu , Jack Fan , Raquel Urtasun

Precise knowledge of causal directed acyclic graphs (DAGs) is assumed for standard approaches towards valid adjustment set selection for unbiased estimation, but in practice, the DAG is often inferred from data or expert knowledge,…

Statistics Theory · Mathematics 2025-11-14 Zhongyi Hu , Stéphanie van der Pas

Directed acyclic graphical models, or DAG models, are widely used to represent complex causal systems. Since the basic task of learning such a model from data is NP-hard, a standard approach is greedy search over the space of directed…

Statistics Theory · Mathematics 2021-06-09 Liam Solus , Yuhao Wang , Caroline Uhler

To measure the tree-likeness of a directed acyclic graph (DAG), a new width parameter that considers the directions of the arcs was recently introduced: scanwidth. We present the first algorithm that efficiently computes the exact scanwidth…

Data Structures and Algorithms · Computer Science 2026-05-21 Niels Holtgrefe , Leo van Iersel , Mark Jones

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…

Signal Processing · Electrical Eng. & Systems 2025-01-29 Bastian Seifert , Chris Wendler , Markus Püschel

Directed Acyclic Graphs (DAGs) are solid structures used to describe and infer the dependencies among variables in multivariate scenarios. Having a thorough comprehension of the accurate DAG-generating model is crucial for causal discovery…

Methodology · Statistics 2024-09-09 S. Nazari , M. Arashi , A. Sadeghkhani

Random directed acyclic graphs (DAGs) based on imposing an order on Erd\H{o}s-R\'enyi and scale free random graphs are widely used for evaluating causal discovery algorithms. We show that in such DAGs, the set of nodes reachable via open…

Methodology · Statistics 2026-05-08 Alexander G. Reisach , Antoine Chambaz , Gilles Blanchard , Sebastian Weichwald

We present practical linear and almost linear-time algorithms to compute a chain decomposition of a directed acyclic graph (DAG), $G=(V,E)$. The number of vertex-disjoint chains computed is very close to the minimum. The time complexity of…

Data Structures and Algorithms · Computer Science 2022-12-09 Giorgos Kritikakis , Ioannis G. Tollis

The key methodologies of modern logic synthesis techniques are conducted on multi-level technology-independent representations such as And-Inverter-Graphs (AIGs) of the digital logic via directed-acyclic-graph (DAGs) traversal based…

Hardware Architecture · Computer Science 2024-07-16 Yingjie Li , Mingju Liu , Mark Ren , Alan Mishchenko , Cunxi Yu

While visual comparison of directed acyclic graphs (DAGs) is commonly encountered in various disciplines (e.g., finance, biology), knowledge about humans' perception of graph similarity is currently quite limited. By graph similarity…

Human-Computer Interaction · Computer Science 2017-09-07 Kathrin Ballweg , Margit Pohl , Günter Wallner , Tatiana von Landesberger

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…

Machine Learning · Computer Science 2023-01-18 Erdun Gao , Junjia Chen , Li Shen , Tongliang Liu , Mingming Gong , Howard Bondell

Real-world networks grow over time; statistical models based on node exchangeability are not appropriate. Instead of constraining the structure of the \textit{distribution} of edges, we propose that the relevant symmetries refer to the…

Social and Information Networks · Computer Science 2025-04-02 Gecia Bravo-Hermsdorff , Lee M. Gunderson , Kayvan Sadeghi

We propose a continuous optimization framework for discovering a latent directed acyclic graph (DAG) from observational data. Our approach optimizes over the polytope of permutation vectors, the so-called Permutahedron, to learn a…

Machine Learning · Computer Science 2023-02-14 Valentina Zantedeschi , Luca Franceschi , Jean Kaddour , Matt J. Kusner , Vlad Niculae

We present a method to generate directed acyclic graphs (DAGs) using deep reinforcement learning, specifically deep Q-learning. Generating graphs with specified structures is an important and challenging task in various application fields,…

Machine Learning · Computer Science 2019-06-07 Laura D'Arcy , Padraig Corcoran , Alun Preece

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…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-01-10 Jiahao He , Guangju Wang , Guangyuan Zhang , Jiheng Zhang

Cooperative decision-making of Connected Autonomous Vehicles (CAVs) presents a longstanding challenge due to its inherent nonlinearity, non-convexity, and discrete characteristics, compounded by the diverse road topologies encountered in…

Robotics · Computer Science 2024-01-11 Zhenmin Huang , Shaojie Shen , Jun Ma

Given $n$ points in the plane, we propose algorithms to compile connected crossing-free geometric graphs into directed acyclic graphs (DAGs). The DAGs allow efficient counting, enumeration, random sampling, and optimization. Our algorithms…

Computational Geometry · Computer Science 2020-01-27 Yu Nakahata , Takashi Horiyama , Shin-ichi Minato , Katsuhisa Yamanaka
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