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Signed graphs with positive and negative edges can model complex relationships in social networks. Leveraging on balance theory that deduces edge signs from multi-hop node pairs, signed graph learning can generate node embeddings that…

Machine Learning · Computer Science 2025-12-15 Haobin Ke , Sen Zhang , Qingqing Ye , Xun Ran , Haibo Hu

How can we find meaningful clusters in a graph robustly against noise edges? Graph clustering (i.e., dividing nodes into groups of similar ones) is a fundamental problem in graph analysis with applications in various fields. Recent studies…

Machine Learning · Computer Science 2023-11-09 Hyeonsoo Jo , Fanchen Bu , Kijung Shin

Community detection, discovering the underlying communities within a network from observed connections, is a fundamental problem in network analysis, yet it remains underexplored for signed networks. In signed networks, both edge connection…

Methodology · Statistics 2026-02-17 Yichao Chen , Weijing Tang , Ji Zhu

We introduce a principled and theoretically sound spectral method for $k$-way clustering in signed graphs, where the affinity measure between nodes takes either positive or negative values. Our approach is motivated by social balance…

Machine Learning · Statistics 2019-05-21 Mihai Cucuringu , Peter Davies , Aldo Glielmo , Hemant Tyagi

We study the problem of $k$-way clustering in signed graphs. Considerable attention in recent years has been devoted to analyzing and modeling signed graphs, where the affinity measure between nodes takes either positive or negative values.…

Machine Learning · Statistics 2020-11-04 Mihai Cucuringu , Apoorv Vikram Singh , Déborah Sulem , Hemant Tyagi

Graph clustering is a fundamental task which discovers communities or groups in networks. Recent studies have mostly focused on developing deep learning approaches to learn a compact graph embedding, upon which classic clustering methods…

Machine Learning · Computer Science 2019-06-18 Chun Wang , Shirui Pan , Ruiqi Hu , Guodong Long , Jing Jiang , Chengqi Zhang

Benefiting from the intrinsic supervision information exploitation capability, contrastive learning has achieved promising performance in the field of deep graph clustering recently. However, we observe that two drawbacks of the positive…

Machine Learning · Computer Science 2023-01-04 Xihong Yang , Yue Liu , Sihang Zhou , Siwei Wang , Wenxuan Tu , Qun Zheng , Xinwang Liu , Liming Fang , En Zhu

Graph clustering (or community detection) has long drawn enormous attention from the research on web mining and information networks. Recent literature on this topic has reached a consensus that node contents and link structures should be…

Social and Information Networks · Computer Science 2017-12-25 Carl Yang , Mengxiong Liu , Zongyi Wang , Liyuan Liu , Jiawei Han

Signed graphs serve as fundamental data structures for representing positive and negative relationships in social networks, with signed graph neural networks (SGNNs) emerging as the primary tool for their analysis. Our investigation reveals…

Machine Learning · Computer Science 2025-09-11 Jialong Zhou , Xing Ai , Yuni Lai , Tomasz Michalak , Gaolei Li , Jianhua Li , Di Tang , Xingxing Zhang , Mengpei Yang , Kai Zhou

Clustering a signed graph means partitioning the vertices into sets ("clusters") so that every positive edge, and no negative edge, is within a cluster. Clustering is not always possible; the obstruction is circles with exactly one negative…

Combinatorics · Mathematics 2024-05-07 Michael G. Gottstein , Leila Parsaei-Majd , Thomas Zaslavsky

Graph clustering discovers groups or communities within networks. Deep learning methods such as autoencoders (AE) extract effective clustering and downstream representations but cannot incorporate rich structural information. While Graph…

Machine Learning · Computer Science 2022-04-28 Gayan K. Kulatilleke , Marius Portmann , Shekhar S. Chandra

Graph clustering is essential in graph analysis for revealing structural patterns and node communities. Despite recent advances in self-supervised contrastive learning that have improved clustering via structural and attribute signals,…

Machine Learning · Computer Science 2026-05-28 Lei Zhang , Fubo Sun , Haipeng Yang , Zhong Guan , Likang Wu

Graph clustering aims to divide the graph into different clusters. The recently emerging deep graph clustering approaches are largely built on graph neural networks (GNN). However, GNN is designed for general graph encoding and there is a…

Machine Learning · Computer Science 2025-04-28 Zhiyuan Ning , Zaitian Wang , Ran Zhang , Ping Xu , Kunpeng Liu , Pengyang Wang , Wei Ju , Pengfei Wang , Yuanchun Zhou , Erik Cambria , Chong Chen

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

Graph-level clustering remains a pivotal yet formidable challenge in graph learning. Recently, the integration of deep learning with representation learning has demonstrated notable advancements, yielding performance enhancements to a…

Due to the fact much of today's data can be represented as graphs, there has been a demand for generalizing neural network models for graph data. One recent direction that has shown fruitful results, and therefore growing interest, is the…

Social and Information Networks · Computer Science 2018-08-21 Tyler Derr , Yao Ma , Jiliang Tang

The study of social networks is a burgeoning research area. However, most existing work deals with networks that simply encode whether relationships exist or not. In contrast, relationships in signed networks can be positive ("like",…

Social and Information Networks · Computer Science 2013-03-06 Kai-Yang Chiang , Cho-Jui Hsieh , Nagarajan Natarajan , Ambuj Tewari , Inderjit S. Dhillon

In this study, we address the complex issue of graph clustering in signed graphs, which are characterized by positive and negative weighted edges representing attraction and repulsion among nodes, respectively. The primary objective is to…

Data Structures and Algorithms · Computer Science 2024-07-10 Felix Hausberger , Marcelo Fonseca Faraj , Christian Schulz

Self-supervised heterogeneous graph learning (SHGL) has shown promising potential in diverse scenarios. However, while existing SHGL methods share a similar essential with clustering approaches, they encounter two significant limitations:…

Artificial Intelligence · Computer Science 2024-12-03 Yujie Mo , Zhihe Lu , Runpeng Yu , Xiaofeng Zhu , Xinchao Wang

Social networks and interactions in social media involve both positive and negative relationships. Signed graphs capture both types of relationships: positive edges correspond to pairs of "friends", and negative edges to pairs of "foes".…

Data Structures and Algorithms · Computer Science 2016-10-05 Michael Mitzenmacher , Charalampos E. Tsourakakis
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