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The most commonly used method to tackle the graph partitioning problem in practice is the multilevel approach. During a coarsening phase, a multilevel graph partitioning algorithm reduces the graph size by iteratively contracting nodes and…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-03-26 Henning Meyerhenke , Peter Sanders , Christian Schulz

Graph mining has become crucial in fields such as social science, finance, and cybersecurity. Many large-scale real-world networks exhibit both heterogeneity, where multiple node and edge types exist in the graph, and heterophily, where…

Machine Learning · Computer Science 2025-06-04 Junhong Lin , Xiaojie Guo , Shuaicheng Zhang , Yada Zhu , Julian Shun

Imbalanced node classification widely exists in real-world networks where graph neural networks (GNNs) are usually highly inclined to majority classes and suffer from severe performance degradation on classifying minority class nodes.…

Artificial Intelligence · Computer Science 2023-05-01 Jie Liu , Mengting He , Guangtao Wang , Nguyen Quoc Viet Hung , Xuequn Shang , Hongzhi Yin

Node coloring is the task of assigning colors to the nodes of a graph such that no two adjacent nodes have the same color, while using as few colors as possible. It is the most widely studied instance of graph coloring and of central…

Combinatorics · Mathematics 2026-01-09 Knut Vanderbush , Melanie Weber

Graph signal processing (GSP) is a key tool for satisfying the growing demand for information processing over networks. However, the success of GSP in downstream learning and inference tasks is heavily dependent on the prior identification…

Signal Processing · Electrical Eng. & Systems 2021-03-29 Seyed Saman Saboksayr , Gonzalo Mateos , Mujdat Cetin

Graphs are complex objects that do not lend themselves easily to typical learning tasks. Recently, a range of approaches based on graph kernels or graph neural networks have been developed for graph classification and for representation…

Machine Learning · Computer Science 2022-05-19 Chen Cai , Yusu Wang

Signed graphs, which are characterized by both positive and negative edge weights, have recently attracted significant attention in the field of graph signal processing (GSP). Existing works on signed graph learning typically assume that…

Signal Processing · Electrical Eng. & Systems 2025-09-12 Rong Ye , Xue-Qin Jiang , Hui Feng , Jian Wang , Runhe Qiu

Despite remarkable success in diverse web-based applications, Graph Neural Networks(GNNs) inherit and further exacerbate historical discrimination and social stereotypes, which critically hinder their deployments in high-stake domains such…

Machine Learning · Computer Science 2025-01-28 Ying Song , Balaji Palanisamy

We propose a node clustering method for time-varying graphs based on the assumption that the cluster labels are changed smoothly over time. Clustering is one of the fundamental tasks in many science and engineering fields including signal…

Machine Learning · Computer Science 2023-05-12 Katsuki Fukumoto , Koki Yamada , Yuichi Tanaka , Hoi-To Wai

Graph convolutional neural networks (GCNN) have numerous applications in different graph based learning tasks. Although the techniques obtain impressive results, they often fall short in accounting for the uncertainty associated with the…

Machine Learning · Computer Science 2019-11-13 Soumyasundar Pal , Florence Regol , Mark Coates

Previous graph neural networks (GNNs) usually assume that the graph data is with clean labels for representation learning, but it is not true in real applications. In this paper, we propose a new multi-teacher distillation method based on…

Machine Learning · Computer Science 2024-05-09 Yujing Liu , Zongqian Wu , Zhengyu Lu , Ci Nie , Guoqiu Wen , Ping Hu , Xiaofeng Zhu

A main challenge in mining network-based data is finding effective ways to represent or encode graph structures so that it can be efficiently exploited by machine learning algorithms. Several methods have focused in network representation…

Social and Information Networks · Computer Science 2019-03-18 Leonardo Gutiérrez-Gómez , Jean-Charles Delvenne

Graph generative models become increasingly effective for data distribution approximation and data augmentation. While they have aroused public concerns about their malicious misuses or misinformation broadcasts, just as what Deepfake…

Cryptography and Security · Computer Science 2023-06-14 Yihan Ma , Zhikun Zhang , Ning Yu , Xinlei He , Michael Backes , Yun Shen , Yang Zhang

Given a set of k networks, possibly with different sizes and no overlaps in nodes or edges, how can we quickly assess similarity between them, without solving the node-correspondence problem? Analogously, how can we extract a small number…

Social and Information Networks · Computer Science 2012-09-13 Michele Berlingerio , Danai Koutra , Tina Eliassi-Rad , Christos Faloutsos

As a fundamental problem in pattern recognition, graph matching has applications in a variety of fields, from computer vision to computational biology. In graph matching, patterns are modeled as graphs and pattern recognition amounts to…

Computer Vision and Pattern Recognition · Computer Science 2008-06-19 Tiberio S. Caetano , Julian J. McAuley , Li Cheng , Quoc V. Le , Alex J. Smola

Graph neural networks have attracted wide attentions to enable representation learning of graph data in recent works. In complement to graph convolution operators, graph pooling is crucial for extracting hierarchical representation of graph…

Machine Learning · Computer Science 2020-06-22 Xing Gao , Wenrui Dai , Chenglin Li , Hongkai Xiong , Pascal Frossard

Enormous amounts of data collected from social networks or other online platforms are being published for the sake of statistics, marketing, and research, among other objectives. The consequent privacy and data security concerns have…

Cryptography and Security · Computer Science 2021-12-24 Ola N. Halawi , Faisal N. Abu-Khzam

Graph-structured data arise naturally in many different application domains. By representing data as graphs, we can capture entities (i.e., nodes) as well as their relationships (i.e., edges) with each other. Many useful insights can be…

Artificial Intelligence · Computer Science 2018-07-24 John Boaz Lee , Ryan A. Rossi , Sungchul Kim , Nesreen K. Ahmed , Eunyee Koh

We consider the graph link prediction task, which is a classic graph analytical problem with many real-world applications. With the advances of deep learning, current link prediction methods commonly compute features from subgraphs centered…

Machine Learning · Computer Science 2020-10-21 Lei Cai , Jundong Li , Jie Wang , Shuiwang Ji

Graph clustering, which aims to divide nodes in the graph into several distinct clusters, is a fundamental yet challenging task. Benefiting from the powerful representation capability of deep learning, deep graph clustering methods have…

Machine Learning · Computer Science 2023-09-13 Yue Liu , Jun Xia , Sihang Zhou , Xihong Yang , Ke Liang , Chenchen Fan , Yan Zhuang , Stan Z. Li , Xinwang Liu , Kunlun He
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