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Community detection and edge prediction are both forms of link mining: they are concerned with discovering the relations between vertices in networks. Some of the vertex similarity measures used in edge prediction are closely related to the…

Physics and Society · Physics 2015-06-03 Bowen Yan , Steve Gregory

The objective of this work is set-based verification, e.g. to decide if two sets of images of a face are of the same person or not. The traditional approach to this problem is to learn to generate a feature vector per image, aggregate them…

Computer Vision and Pattern Recognition · Computer Science 2018-07-31 Weidi Xie , Li Shen , Andrew Zisserman

Supervised learning on graphs is a challenging task due to the high dimensionality and inherent structural dependencies in the data, where each edge depends on a pair of vertices. Existing conventional methods are designed for standard…

Methodology · Statistics 2024-06-27 Cencheng Shen , Shangsi Wang , Alexandra Badea , Carey E. Priebe , Joshua T. Vogelstein

Graph similarity computation (GSC) is to calculate the similarity between one pair of graphs, which is a fundamental problem with fruitful applications in the graph community. In GSC, graph edit distance (GED) and maximum common subgraph…

Machine Learning · Computer Science 2024-12-16 Haoran Zheng , Jieming Shi , Renchi Yang

Given an undirected graph $G$, the Densest $k$-subgraph problem (DkS) asks to compute a set $S \subset V$ of cardinality $\left\lvert S\right\rvert \leq k$ such that the weight of edges inside $S$ is maximized. This is a fundamental NP-hard…

Data Structures and Algorithms · Computer Science 2020-11-10 Yash Khanna , Anand Louis

Anomalies represent rare observations (e.g., data records or events) that deviate significantly from others. Over several decades, research on anomaly mining has received increasing interests due to the implications of these occurrences in…

Machine Learning · Computer Science 2022-04-21 Xiaoxiao Ma , Jia Wu , Shan Xue , Jian Yang , Chuan Zhou , Quan Z. Sheng , Hui Xiong , Leman Akoglu

Given a graph $G$ and a vertex $q\in G$, the community search (CS) problem aims to efficiently find a subgraph of $G$ whose vertices are closely related to $q$. Communities are prevalent in social and biological networks, and can be used in…

Databases · Computer Science 2019-01-18 Yankai Chen , Yixiang Fang , Reynold Cheng , Yun Li , Xiaojun Chen , Jie Zhang

Many approaches focus on detecting dense blocks in the tensor of multimodal data to prevent fraudulent entities (e.g., accounts, links) from retweet boosting, hashtag hijacking, link advertising, etc. However, no existing method is…

Data Structures and Algorithms · Computer Science 2019-02-26 Yikun Ban , Xin Liu , Yitao Duan , Xue Liu , Wei Xu

Hard negative mining has shown effective in enhancing self-supervised contrastive learning (CL) on diverse data types, including graph CL (GCL). The existing hardness-aware CL methods typically treat negative instances that are most similar…

Machine Learning · Computer Science 2024-01-09 Chaoxi Niu , Guansong Pang , Ling Chen

Detailed network models of social, biological and other complex systems are often dense, which increases their computational complexity in simulations and analysis. To address this challenge, graph sparsification is used to remove edges…

Physics and Society · Physics 2026-03-19 Bernardo Pereira , Felipe Xavier Costa , Luís M. Rocha

Community detection is a fundamental task in complex network analysis. Fairness-aware community detection seeks to prevent biased node partitions, typically framed in terms of individual fairness, which requires similar nodes to be treated…

Social and Information Networks · Computer Science 2026-02-19 Fabrizio Corriera , Frank W. Takes , Akrati Saxena

Graph clustering is crucial for unraveling intricate data structures, yet it presents significant challenges due to its unsupervised nature. Recently, goal-directed clustering techniques have yielded impressive results, with contrastive…

Machine Learning · Computer Science 2025-07-21 Enhao Cheng , Shoujia Zhang , Jianhua Yin , Li Jin , Liqiang Nie

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

In this paper we discuss a very simple approach of combining content and link information in graph structures for the purpose of community discovery, a fundamental task in network analysis. Our approach hinges on the basic intuition that…

Social and Information Networks · Computer Science 2012-12-04 Yiye Ruan , David Fuhry , Srinivasan Parthasarathy

The planted densest subgraph detection problem refers to the task of testing whether in a given (random) graph there is a subgraph that is unusually dense. Specifically, we observe an undirected and unweighted graph on $n$ vertices. Under…

Data Structures and Algorithms · Computer Science 2024-05-06 Wasim Huleihel , Arya Mazumdar , Soumyabrata Pal

With the emergence of graph databases, the task of frequent subgraph discovery has been extensively addressed. Although the proposed approaches in the literature have made this task feasible, the number of discovered frequent subgraphs is…

Databases · Computer Science 2013-08-16 Wajdi Dhifli , Mohamed Moussaoui , Rabie Saidi , Engelbert Mephu Nguifo

A mixed graph can be seen as a type of digraph containing some edges (two opposite arcs). Here we introduce the concept of sequence mixed graphs, which is a generalization of both sequence graphs and iterated line digraphs. These structures…

Combinatorics · Mathematics 2016-10-13 C. Dalfó , M. A. Fiol , N. López

The graph alignment problem, which considers the optimal node correspondence across networks, has recently gained significant attention due to its wide applications. There are graph alignment methods suited for various network types, but we…

Social and Information Networks · Computer Science 2025-05-15 Ashley Wang , Peter Chin

This paper studies the problem of detecting anomalous graphs using a machine learning model trained on only normal graphs, which has many applications in molecule, biology, and social network data analysis. We present a self-discriminative…

Machine Learning · Computer Science 2023-10-11 Jinyu Cai , Yunhe Zhang , Jicong Fan

Graph learning (GL) can dynamically capture the distribution structure (graph structure) of data based on graph convolutional networks (GCN), and the learning quality of the graph structure directly influences GCN for semi-supervised…

Computer Vision and Pattern Recognition · Computer Science 2020-06-01 Guangfeng Lin , Xiaobing Kang , Kaiyang Liao , Fan Zhao , Yajun Chen