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Graph pattern matching is a routine process for a wide variety of applications such as social network analysis. It is typically defined in terms of subgraph isomorphism which is NP-Complete. To lower its complexity, many extensions of graph…

Databases · Computer Science 2018-04-13 Houari Mahfoud

Graph clustering is a fundamental task in network analysis where the goal is to detect sets of nodes that are well-connected to each other but sparsely connected to the rest of the graph. We present faster approximation algorithms for an…

Data Structures and Algorithms · Computer Science 2023-06-09 Vedangi Bengali , Nate Veldt

Do higher-order network structures aid graph semi-supervised learning? Given a graph and a few labeled vertices, labeling the remaining vertices is a high-impact problem with applications in several tasks, such as recommender systems, fraud…

Social and Information Networks · Computer Science 2020-02-20 Dhivya Eswaran , Srijan Kumar , Christos Faloutsos

Graph-based methods have been demonstrated as one of the most effective approaches for semi-supervised learning, as they can exploit the connectivity patterns between labeled and unlabeled data samples to improve learning performance.…

Machine Learning · Computer Science 2019-07-01 Qimai Li , Xiao-Ming Wu , Han Liu , Xiaotong Zhang , Zhichao Guan

Recently emerged Topological Deep Learning (TDL) methods aim to extend current Graph Neural Networks (GNN) by naturally processing higher-order interactions, going beyond the pairwise relations and local neighborhoods defined by graph…

We introduce a novel algorithm to perform graph clustering in the edge streaming setting. In this model, the graph is presented as a sequence of edges that can be processed strictly once. Our streaming algorithm has an extremely low memory…

Machine Learning · Computer Science 2017-12-13 Alexandre Hollocou , Julien Maudet , Thomas Bonald , Marc Lelarge

Local clustering aims at extracting a local structure inside a graph without the necessity of knowing the entire graph structure. As the local structure is usually small in size compared to the entire graph, one can think of it as a…

Machine Learning · Computer Science 2024-08-20 Zhaiming Shen , Ming-Jun Lai , Sheng Li

We present TeraPart, a memory-efficient multilevel graph partitioning method that is designed to scale to extremely large graphs. In balanced graph partitioning, the goal is to divide the vertices into $k$ blocks with balanced size while…

Data Structures and Algorithms · Computer Science 2024-10-28 Daniel Salwasser , Daniel Seemaier , Lars Gottesbüren , Peter Sanders

An increasingly important challenge in network analysis is efficient detection and tracking of communities in dynamic networks for which changes arrive as a stream. There is a need for algorithms that can incrementally update and monitor…

Social and Information Networks · Computer Science 2013-05-15 Jierui Xie , Mingming Chen , Boleslaw K. Szymanski

This work proposes a novel method for semi-supervised learning from partially labeled massive network-structured datasets, i.e., big data over networks. We model the underlying hypothesis, which relates data points to labels, as a graph…

Machine Learning · Computer Science 2017-05-16 Alexander Jung , Alfred O. Hero , Alexandru Mara , Saeed Jahromi

Graphs are now ubiquitous in almost every field of research. Recently, new research areas devoted to the analysis of graphs and data associated to their vertices have emerged. Focusing on dynamical processes, we propose a fast, robust and…

Social and Information Networks · Computer Science 2016-02-02 Kirell Benzi , Benjamin Ricaud , Pierre Vandergheynst

Label smoothing is a widely studied regularization technique in machine learning. However, its potential for node classification in graph-structured data, spanning homophilic to heterophilic graphs, remains largely unexplored. We introduce…

Machine Learning · Computer Science 2026-02-02 Jaeseung Heo , Moonjeong Park , Dongwoo Kim

Graph neural networks operate on graph-structured data via exchanging messages along edges. One limitation of this message passing paradigm is the over-squashing problem. Over-squashing occurs when messages from a node's expanded receptive…

Machine Learning · Computer Science 2023-11-15 Thomas Christie , Yu He

Recent years have witnessed a rise in real-world data captured with rich structural information that can be conveniently depicted by multi-relational graphs. While inference of continuous node features across a simple graph is rather…

Machine Learning · Computer Science 2021-10-18 Eda Bayram

Analysing Web graphs has applications in determining page ranks, fighting Web spam, detecting communities and mirror sites, and more. This study is however hampered by the necessity of storing a major part of huge graphs in the external…

Data Structures and Algorithms · Computer Science 2011-09-07 Szymon Grabowski , Wojciech Bieniecki

Semi-supervised learning on graphs is a widely applicable problem in network science and machine learning. Two standard algorithms -- label propagation and graph neural networks -- both operate by repeatedly passing information along edges,…

Machine Learning · Computer Science 2021-02-02 Junteng Jia , Austin R. Benson

Motivated by the prevalent data science applications of processing large-scale graph data such as social networks and biological networks, this paper investigates lossless compression of data in the form of a labeled graph. Particularly, we…

Information Theory · Computer Science 2024-05-24 Alankrita Bhatt , Ziao Wang , Chi Wang , Lele Wang

An important challenge in big data analysis nowadays is detection of cohesive groups in large-scale networks, including social networks, genetic networks, communication networks and so. In this paper, we propose LabelRank, an efficient…

Social and Information Networks · Computer Science 2013-05-15 Jierui Xie , Boleslaw K. Szymanski

Higher-order connectivity patterns such as small induced sub-graphs called graphlets (network motifs) are vital to understand the important components (modules/functional units) governing the configuration and behavior of complex networks.…

Social and Information Networks · Computer Science 2020-09-15 Aldo G. Carranza , Ryan A. Rossi , Anup Rao , Eunyee Koh

Label noise is a common challenge in large datasets, as it can significantly degrade the generalization ability of deep neural networks. Most existing studies focus on noisy labels in computer vision; however, graph models encompass both…

Machine Learning · Computer Science 2024-06-13 Yao Cheng , Caihua Shan , Yifei Shen , Xiang Li , Siqiang Luo , Dongsheng Li