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We study the widely used hierarchical agglomerative clustering (HAC) algorithm on edge-weighted graphs. We define an algorithmic framework for hierarchical agglomerative graph clustering that provides the first efficient $\tilde{O}(m)$ time…

Data Structures and Algorithms · Computer Science 2021-06-11 Laxman Dhulipala , David Eisenstat , Jakub Łącki , Vahab Mirrokni , Jessica Shi

In this paper we develop a framework to study observability for uniform hypergraphs. Hypergraphs, being extensions of graphs, allow edges to connect multiple nodes and unambiguously represent multi-way relationships which are ubiquitous in…

Dynamical Systems · Mathematics 2023-09-19 Joshua Pickard , Amit Surana , Anthony Bloch , Indika Rajapakse

The degree distribution is one of the most fundamental graph properties of interest for real-world graphs. It has been widely observed in numerous domains that graphs typically have a tailed or scale-free degree distribution. While the…

Data Structures and Algorithms · Computer Science 2015-11-30 Olivia Simpson , C. Seshadhri , Andrew McGregor

Conventional network data has largely focused on pairwise interactions between two entities, yet multi-way interactions among multiple entities have been frequently observed in real-life hypergraph networks. In this article, we propose a…

Machine Learning · Statistics 2021-09-06 Yaoming Zhen , Junhui Wang

In data systems, activities or events are continuously collected in the field to trace their proper executions. Logging, which means recording sequences of events, can be used for analyzing system failures and malfunctions, and identifying…

Machine Learning · Computer Science 2021-06-29 Tomer Meirman , Roni Stern , Gilad Katz

Graph distillation (GD) is an effective approach to extract useful information from large-scale network structures. However, existing methods, which operate in Euclidean space to generate condensed graphs, struggle to capture the inherent…

Machine Learning · Computer Science 2025-01-28 Yunbo Long , Liming Xu , Stefan Schoepf , Alexandra Brintrup

This paper considers structures of systems beyond dyadic (pairwise) interactions and investigates mathematical modeling of multi-way interactions and connections as hypergraphs, where captured relationships among system entities are…

Discrete Mathematics · Computer Science 2021-07-16 Xu T. Liu , Jesun Firoz , Andrew Lumsdaine , Cliff Joslyn , Sinan Aksoy , Brenda Praggastis , Assefaw Gebremedhin

Graph clustering is an important technique to understand the relationships between the vertices in a big graph. In this paper, we propose a novel random-walk-based graph clustering method. The proposed method restricts the reach of the…

Social and Information Networks · Computer Science 2016-06-22 Honglei Zhang , Jenni Raitoharju , Serkan Kiranyaz , Moncef Gabbouj

The use of in-situ digital sensors for water quality monitoring is becoming increasingly common worldwide. While these sensors provide near real-time data for science, the data are prone to technical anomalies that can undermine the…

Trajectory anomaly detection is essential for identifying unusual and unexpected movement patterns in applications ranging from intelligent transportation systems to urban safety and fraud prevention. Existing methods only consider limited…

Machine Learning · Computer Science 2025-09-24 Jonathan Kabala Mbuya , Dieter Pfoser , Antonios Anastasopoulos

This report presents a very simple algorithm for overlaping community-detection in large graphs under constraints such as the minimum and maximum number of members allowed. The algorithm is based on the simulation of random walks and…

Social and Information Networks · Computer Science 2015-05-12 Luis Argerich

Persistent homology is a mathematical tool used for studying the shape of data by extracting its topological features. It has gained popularity in network science due to its applicability in various network mining problems, including…

Algebraic Topology · Mathematics 2023-06-21 Mehmet Emin Aktas , Thu Nguyen , Rakin Riza , Muhammad Ifte Islam , Esra Akbas

Hypergraphs can naturally model group-wise relations (e.g., a group of users who co-purchase an item) as hyperedges. Hyperedge prediction is to predict future or unobserved hyperedges, which is a fundamental task in many real-world…

Machine Learning · Computer Science 2025-01-31 Yunyong Ko , Hanghang Tong , Sang-Wook Kim

Recently, graph neural networks have been widely used for network embedding because of their prominent performance in pairwise relationship learning. In the real world, a more natural and common situation is the coexistence of pairwise…

Social and Information Networks · Computer Science 2021-01-19 Xiangguo Sun , Hongzhi Yin , Bo Liu , Hongxu Chen , Jiuxin Cao , Yingxia Shao , Nguyen Quoc Viet Hung

Advances in deep neural networks (DNN) greatly bolster real-time detection of anomalous IoT data. However, IoT devices can hardly afford complex DNN models, and offloading anomaly detection tasks to the cloud incurs long delay. In this…

Machine Learning · Computer Science 2020-04-16 Mao V. Ngo , Tie Luo , Hakima Chaouchi , Tony Q. S. Quek

Graph neural network, as a powerful graph representation technique based on deep learning, has shown superior performance and attracted considerable research interest. However, it has not been fully considered in graph neural network for…

Social and Information Networks · Computer Science 2021-01-21 Xiao Wang , Houye Ji , Chuan Shi , Bai Wang , Peng Cui , P. Yu , Yanfang Ye

Anomaly detection aims to identify deviations from normal patterns within data. This task is particularly crucial in dynamic graphs, which are common in applications like social networks and cybersecurity, due to their evolving structures…

Machine Learning · Computer Science 2024-12-24 Xiao Yang , Xuejiao Zhao , Zhiqi Shen

Network representation learning has aroused widespread interests in recent years. While most of the existing methods deal with edges as pairwise relationships, only a few studies have been proposed for hyper-networks to capture more…

Social and Information Networks · Computer Science 2019-10-23 Jie Huang , Xin Liu , Yangqiu Song

Monitoring network traffic data to detect any hidden patterns of anomalies is a challenging and time-consuming task that requires high computing resources. To this end, an appropriate summarization technique is of great importance, where it…

Machine Learning · Computer Science 2021-12-21 Samira Ghodratnama , Mehrdad Zakershahrak , Fariborz Sobhanmanesh

Many real-world data can be represented as heterogeneous graphs with different types of nodes and connections. Heterogeneous graph neural network model aims to embed nodes or subgraphs into low-dimensional vector space for various…

Artificial Intelligence · Computer Science 2024-12-24 Xinjun Cai , Jiaxing Shang , Fei Hao , Dajiang Liu , Linjiang Zheng
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