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In distributed ledger technologies (DLTs) with a directed acyclic graph (DAG) data structure, a block-issuing node can decide where to append new blocks and, consequently, how the DAG grows. This DAG data structure is typically decomposed…

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

Directed acyclic graphs (DAGs) are fundamental structures used across many scientific fields. A key concept in DAGs is the least common ancestor (LCA), which plays a crucial role in understanding hierarchical relationships. Surprisingly…

Tags assigned by users to shared content can be ambiguous. As a possible solution, we propose semantic tagging as a collaborative process in which a user selects and associates Web resources drawn from a knowledge context. We applied this…

Digital Libraries · Computer Science 2013-04-08 Bernhard Haslhofer , Werner Robitza , Carl Lagoze , Francois Guimbretiere

The problem of predicting links in large networks is an important task in a variety of practical applications, including social sciences, biology and computer security. In this paper, statistical techniques for link prediction based on the…

Applications · Statistics 2021-09-01 Francesco Sanna Passino , Anna S. Bertiger , Joshua C. Neil , Nicholas A. Heard

Learning the structure of Directed Acyclic Graphs (DAGs) presents a significant challenge due to the vast combinatorial search space of possible graphs, which scales exponentially with the number of nodes. Recent advancements have redefined…

Machine Learning · Computer Science 2024-11-01 Klea Ziu , Slavomír Hanzely , Loka Li , Kun Zhang , Martin Takáč , Dmitry Kamzolov

In real-world systems, the relationships and connections between components are highly complex. Real systems are often described as networks, where nodes represent objects in the system and edges represent relationships or connections…

Algebraic Topology · Mathematics 2024-06-24 Shen Zhang

Estimating a directed acyclic graph (DAG) from observational data represents a canonical learning problem and has generated a lot of interest in recent years. Research has focused mostly on the following two cases: when no information…

Applications · Statistics 2019-02-15 Syed Rahman , Kshitij Khare , George Michailidis , Carlos Martinez , Juan Carulla

Identification and appropriate handling of inconsistencies in data at deployment time is crucial to reliably use machine learning models. While recent data-centric methods are able to identify such inconsistencies with respect to the…

Machine Learning · Computer Science 2024-02-29 Nicolas Huynh , Jeroen Berrevoets , Nabeel Seedat , Jonathan Crabbé , Zhaozhi Qian , Mihaela van der Schaar

Text-Attributed Graphs (TAGs) augment graph structures with natural language descriptions, facilitating detailed depictions of data and their interconnections across various real-world settings. However, existing TAG datasets predominantly…

Computation and Language · Computer Science 2024-11-26 Zhuofeng Li , Zixing Gou , Xiangnan Zhang , Zhongyuan Liu , Sirui Li , Yuntong Hu , Chen Ling , Zheng Zhang , Liang Zhao

Given a weighted digraph $G$, a $(t,g,\mu)$-DAG cover is a collection of $g$ dominating DAGs $D_1,\dots,D_g$ such that all distances are approximately preserved: for every pair $(u,v)$ of vertices, $\min_id_{D_i}(u,v)\le t\cdot d_{G}(u,v)$,…

Data Structures and Algorithms · Computer Science 2026-04-07 Sujoy Bhore , Hsien-Chih Chang , Jonathan Conroy , Arnold Filtser , Eunjin Oh , Nicole Wein , Da Wei Zheng

Some temporal networks, most notably citation networks, are naturally represented as directed acyclic graphs (DAGs). To detect communities in DAGs, we propose a modularity for DAGs by defining an appropriate null model (i.e., randomized…

Physics and Society · Physics 2015-08-13 Leo Speidel , Taro Takaguchi , Naoki Masuda

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…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-03-02 Corey Tessler , Venkata P. Modekurthy , Nathan Fisher , Abusayeed Saifullah

A network can be analyzed at different topological scales, ranging from single nodes to motifs, communities, up to the complete structure. We propose a novel intermediate-level topological analysis that considers non-overlapping subgraphs…

Computational Physics · Physics 2009-11-13 Lucas Antiqueira , Luciano da Fontoura Costa

This work addresses the problem of learning directed acyclic graphs (DAGs) from nodal observations generated by a linear structural equation model. DAG learning is a central task in signal processing, machine learning, and causal inference,…

Machine Learning · Computer Science 2026-05-20 Samuel Rey , Madeline navarro , Gonzalo Mateos

Many applications like pointer analysis and incremental compilation require maintaining a topological ordering of the nodes of a directed acyclic graph (DAG) under dynamic updates. All known algorithms for this problem are either only…

Data Structures and Algorithms · Computer Science 2008-02-08 Deepak Ajwani , Tobias Friedrich

Frequent pattern mining is a relevant method to analyse structured data, like sequences, trees or graphs. It consists in identifying characteristic substructures of a dataset. This paper deals with a new type of patterns for tree data:…

Data Structures and Algorithms · Computer Science 2024-01-05 Romain Azaïs , Florian Ingels

Due to its human-interpretability and invariance properties, Directed Acyclic Graph (DAG) has been a foundational tool across various areas of AI research, leading to significant advancements. However, DAG learning remains highly…

Machine Learning · Computer Science 2025-06-24 Naiyu Yin , Tian Gao , Yue Yu

Directed acyclic graphical models (DAGs) are often used to describe common structural properties in a family of probability distributions. This paper addresses the question of classifying DAGs up to an isomorphism. By considering Gaussian…

Information Theory · Computer Science 2014-12-24 Hajir Roozbehani , Yury Polyanskiy

Recently directed acyclic graph (DAG) structure learning is formulated as a constrained continuous optimization problem with continuous acyclicity constraints and was solved iteratively through subproblem optimization. To further improve…

Machine Learning · Computer Science 2021-06-15 Yue Yu , Tian Gao , Naiyu Yin , Qiang Ji
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