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Current modularity-based community detection algorithms attempt to find cluster memberships that maximize modularity within a fixed graph topology. Diverging from this conventional approach, our work introduces a novel strategy that employs…

数据分析、统计与概率 · 物理学 2024-02-27 Yongyu Wang , Shiqi Hao , Xiaoyang Wang , Xiaotian Zhuang

Clustering points in a vector space or nodes in a graph is a ubiquitous primitive in statistical data analysis, and it is commonly used for exploratory data analysis. In practice, it is often of interest to "refine" or "improve" a given…

机器学习 · 计算机科学 2022-02-03 K. Fountoulakis , M. Liu , D. F. Gleich , M. W. Mahoney

We develop a novel parallel decomposition strategy for unweighted, undirected graphs, based on growing disjoint connected clusters from batches of centers progressively selected from yet uncovered nodes. With respect to similar previous…

分布式、并行与集群计算 · 计算机科学 2015-02-09 Matteo Ceccarello , Andrea Pietracaprina , Geppino Pucci , Eli Upfal

This paper proposes an organized generalization of Newman and Girvan's modularity measure for graph clustering. Optimized via a deterministic annealing scheme, this measure produces topologically ordered graph clusterings that lead to…

机器学习 · 统计学 2010-09-08 Fabrice Rossi , Nathalie Villa-Vialaneix

Local graph clustering methods aim to detect small clusters in very large graphs without the need to process the whole graph. They are fundamental and scalable tools for a wide range of tasks such as local community detection, node ranking…

社会与信息网络 · 计算机科学 2023-06-14 Shenghao Yang , Kimon Fountoulakis

A wide range of tasks in network analysis, such as clustering network populations or identifying anomalies in temporal graph streams, require a measure of the similarity between two graphs. To provide a meaningful data summary for…

物理与社会 · 物理学 2024-10-15 Helcio Felippe , Federico Battiston , Alec Kirkley

In this work, we study the problem of partitioning a set of graphs into different groups such that the graphs in the same group are similar while the graphs in different groups are dissimilar. This problem was rarely studied previously,…

机器学习 · 计算机科学 2023-02-07 Jinyu Cai , Yi Han , Wenzhong Guo , Jicong Fan

In this paper, we present new quality metrics for dynamic graph drawings. Namely, we present a new framework for change faithfulness metrics for dynamic graph drawings, which compare the ground truth change in dynamic graphs and the…

数据结构与算法 · 计算机科学 2020-08-25 Amyra Meidiana , Seok-Hee Hong , Peter Eades

We are interested in multilayer graph clustering, which aims at dividing the graph nodes into categories or communities. To do so, we propose to learn a clustering-friendly embedding of the graph nodes by solving an optimization problem…

机器学习 · 计算机科学 2021-03-31 Mireille El Gheche , Pascal Frossard

In this paper, we propose a method, based on graph signal processing, to optimize the choice of $k$ in $k$-nearest neighbor graphs ($k$NNGs). $k$NN is one of the most popular approaches and is widely used in machine learning and signal…

机器学习 · 计算机科学 2024-01-17 Asuka Tamaru , Junya Hara , Hiroshi Higashi , Yuichi Tanaka , Antonio Ortega

We utilize the PageRank vector to generalize the $k$-means clustering algorithm to directed and undirected graphs. We demonstrate that PageRank and other centrality measures can be used in our setting to robustly compute centrality of nodes…

机器学习 · 计算机科学 2021-03-10 Mustafa Hajij , Eyad Said , Robert Todd

Many real-world systems can be represented as graphs where the different entities in the system are presented by nodes and their interactions by edges. An important task in studying large datasets with graphical structure is graph…

机器学习 · 计算机科学 2025-06-04 Meiby Ortiz-Bouza , Selin Aviyente

How do graph clustering techniques compare with respect to their summarization power? How well can they summarize a million-node graph with a few representative structures? Graph clustering or community detection algorithms can summarize a…

信息检索 · 计算机科学 2015-11-24 Yike Liu , Neil Shah , Danai Koutra

Spectral clustering methodologies, when extended to accommodate signed graphs, have encountered notable limitations in effectively encapsulating inherent grouping relationships. Recent findings underscore a substantial deterioration in the…

社会与信息网络 · 计算机科学 2025-01-15 Muhieddine Shebaro , Lucas Rusnak , Martin Burtscher , Jelena Tešić

Graphs are used in almost every scientific discipline to express relations among a set of objects. Algorithms that compare graphs, and output a closeness score, or a correspondence among their nodes, are thus extremely important. Despite…

离散数学 · 计算机科学 2020-11-17 Sam Safavi , José Bento

We study clustering on graphs with multiple edge types. Our main motivation is that similarities between objects can be measured in many different metrics. For instance similarity between two papers can be based on common authors, where…

社会与信息网络 · 计算机科学 2011-09-09 Matthew Rocklin , Ali Pinar

Graph clustering is a fundamental computational problem with a number of applications in algorithm design, machine learning, data mining, and analysis of social networks. Over the past decades, researchers have proposed a number of…

数据结构与算法 · 计算机科学 2019-04-12 He Sun , Luca Zanetti

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…

机器学习 · 计算机科学 2023-09-13 Yue Liu , Jun Xia , Sihang Zhou , Xihong Yang , Ke Liang , Chenchen Fan , Yan Zhuang , Stan Z. Li , Xinwang Liu , Kunlun He

We study the problem of graph clustering under a broad class of objectives in which the quality of a cluster is defined based on the ratio between the number of edges in the cluster, and the total weight of vertices in the cluster. We show…

数据结构与算法 · 计算机科学 2023-01-02 Jakub Łącki , Vahab Mirrokni , Christian Sohler

In this paper we study variants of the widely used spectral clustering that partitions a graph into k clusters by (1) embedding the vertices of a graph into a low-dimensional space using the bottom eigenvectors of the Laplacian matrix, and…

数据结构与算法 · 计算机科学 2017-02-01 Richard Peng , He Sun , Luca Zanetti