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Traditionally, graph quality metrics focus on readability, but recent studies show the need for metrics which are more specific to the discovery of patterns in graphs. Cluster analysis is a popular task within graph analysis, yet there is…

数据结构与算法 · 计算机科学 2019-08-22 Amyra Meidiana , Seok-Hee Hong , Peter Eades , Daniel Keim

Measuring graph clustering quality remains an open problem. To address it, we introduce quality measures based on comparisons of intra- and inter-cluster densities, an accompanying statistical test of the significance of their differences…

社会与信息网络 · 计算机科学 2020-03-20 Pierre Miasnikof , Alexander Y. Shestopaloff , Anthony J. Bonner , Yuri Lawryshyn , Panos M. Pardalos

Finding clusters of well-connected nodes in a graph is an extensively studied problem in graph-based data analysis. Because of its many applications, a large number of distinct graph clustering objective functions and algorithms have…

社会与信息网络 · 计算机科学 2019-03-14 Nate Veldt , David F. Gleich , Anthony Wirth

Graph clustering is the problem of identifying sparsely connected dense subgraphs (clusters) in a given graph. Proposed clustering algorithms usually optimize various fitness functions that measure the quality of a cluster within the graph.…

计算复杂性 · 计算机科学 2007-05-23 Jiri Sima , Satu Elisa Schaeffer

Graph-based clustering methods like spectral clustering and SpectralNet are very efficient in detecting clusters of non-convex shapes. Unlike the popular $k$-means, graph-based clustering methods do not assume that each cluster has a single…

机器学习 · 计算机科学 2023-02-28 Mashaan Alshammari , John Stavrakakis , Masahiro Takatsuka

In a standard cluster analysis, such as k-means, in addition to clusters locations and distances between them, it's important to know if they are connected or well separated from each other. The main focus of this paper is discovering the…

机器学习 · 统计学 2017-05-22 Evgeny Bauman , Konstantin Bauman

Graph clustering has been studied extensively on both plain graphs and attributed graphs. However, all these methods need to partition the whole graph to find cluster structures. Sometimes, based on domain knowledge, people may have…

机器学习 · 计算机科学 2020-03-26 Wei Ye , Dominik Mautz , Christian Boehm , Ambuj Singh , Claudia Plant

Graph clustering is widely used in analysis of biological networks, social networks and etc. For over a decade many graph clustering algorithms have been published, however a comprehensive and consistent performance comparison is not…

社会与信息网络 · 计算机科学 2020-05-12 Lizhen Shi , Bo Chen

Many community detection algorithms require the introduction of a measure on the set of nodes. Previously, a lot of efforts have been made to find the top-performing measures. In most cases, experiments were conducted on several datasets or…

社会与信息网络 · 计算机科学 2021-11-03 Rinat Aynulin

Graph-based clustering has shown promising performance in many tasks. A key step of graph-based approach is the similarity graph construction. In general, learning graph in kernel space can enhance clustering accuracy due to the…

机器学习 · 计算机科学 2019-05-22 Zhao Kang , Honghui Xu , Boyu Wang , Hongyuan Zhu , Zenglin Xu

We study clustering algorithms based on neighborhood graphs on a random sample of data points. The question we ask is how such a graph should be constructed in order to obtain optimal clustering results. Which type of neighborhood graph…

机器学习 · 统计学 2009-12-18 Markus Maier , Matthias Hein , Ulrike von Luxburg

We study large-scale, distributed graph clustering. Given an undirected graph, our objective is to partition the nodes into disjoint sets called clusters. A cluster should contain many internal edges while being sparsely connected to other…

数据结构与算法 · 计算机科学 2020-04-28 Michael Hamann , Ben Strasser , Dorothea Wagner , Tim Zeitz

Clustering evaluation measures are frequently used to evaluate the performance of algorithms. However, most measures are not properly normalized and ignore some information in the inherent structure of clusterings. We model the relation…

机器学习 · 计算机科学 2012-09-05 Qiaoliang Xiang , Qi Mao , Kian Ming Chai , Hai Leong Chieu , Ivor Tsang , Zhendong Zhao

Graph-based clustering methods have demonstrated the effectiveness in various applications. Generally, existing graph-based clustering methods first construct a graph to represent the input data and then partition it to generate the…

机器学习 · 计算机科学 2019-12-17 Yuheng Jia , Hui Liu , Junhui Hou , Sam Kwong

Graph sampling allows mining a small representative subgraph from a big graph. Sampling algorithms deploy different strategies to replicate the properties of a given graph in the sampled graph. In this study, we provide a comprehensive…

社会与信息网络 · 计算机科学 2021-02-17 Muhammad Irfan Yousuf , Izza Anwer , Raheel Anwar

Graph clustering has many important applications in computing, but due to the increasing sizes of graphs, even traditionally fast clustering methods can be computationally expensive for real-world graphs of interest. Scalability problems…

社会与信息网络 · 计算机科学 2018-10-18 Kimon Fountoulakis , David F. Gleich , Michael W. Mahoney

In the context of cluster analysis and graph partitioning, many external evaluation measures have been proposed in the literature to compare two partitions of the same set. This makes the task of selecting the most appropriate measure for a…

机器学习 · 计算机科学 2021-02-09 Nejat Arinik , Vincent Labatut , Rosa Figueiredo

Graph clustering is an unsupervised machine learning method that partitions the nodes in a graph into different groups. Despite achieving significant progress in exploiting both attributed and structured data information, graph clustering…

机器学习 · 计算机科学 2025-01-03 Rui Zhang , Xiaoyang Hou , Zhihua Tian , Yan he , Enchao Gong , Jian Liu , Qingbiao Wu , Kui Ren

In this article, we extend a statistical test of graph clusterability, the $\delta$ test, to directed graphs with no self loops. The $\delta$ test, originally designed for undirected graphs, is based on the premise that graphs with a…

网络与互联网体系结构 · 计算机科学 2025-06-26 Mario R. Guarracino , Pierre Miasnikof , Alexander Y. Shestopaloff , Houyem Demni , Cristián Bravo , Yuri Lawryshyn

The objective of clustering is to discover natural groups in datasets and to identify geometrical structures which might reside there, without assuming any prior knowledge on the characteristics of the data. The problem can be seen as…

计算几何 · 计算机科学 2018-01-26 Luis-Evaristo Caraballo , José-Miguel Díaz-Báñez , Nadine Kroher
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