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Graph clustering is an important technique to understand the relationships between the vertices in a big graph. In this paper, we propose a novel random-walk-based graph clustering method. The proposed method restricts the reach of the…

社会与信息网络 · 计算机科学 2016-06-22 Honglei Zhang , Jenni Raitoharju , Serkan Kiranyaz , Moncef Gabbouj

This paper considers the problem of clustering a partially observed unweighted graph---i.e., one where for some node pairs we know there is an edge between them, for some others we know there is no edge, and for the remaining we do not know…

机器学习 · 计算机科学 2014-07-25 Yudong Chen , Ali Jalali , Sujay Sanghavi , Huan Xu

Large datasets with interactions between objects are common to numerous scientific fields (i.e. social science, internet, biology...). The interactions naturally define a graph and a common way to explore or summarize such dataset is graph…

应用统计 · 统计学 2009-10-13 Hugo Zanghi , Stevenn Volant , Christophe Ambroise

Motivated by applications in social and biological network analysis, we introduce a new form of agnostic clustering termed~\emph{motif correlation clustering}, which aims to minimize the cost of clustering errors associated with both edges…

数据结构与算法 · 计算机科学 2018-11-07 Pan Li , Gregory J. Puleo , Olgica Milenkovic

Graph clustering involves the task of dividing nodes into clusters, so that the edge density is higher within clusters as opposed to across clusters. A natural, classic and popular statistical setting for evaluating solutions to this…

机器学习 · 统计学 2016-11-17 Yudong Chen , Sujay Sanghavi , Huan Xu

A natural approach to analyze interaction data of form "what-connects-to-what-when" is to create a time-series (or rather a sequence) of graphs through temporal discretization (bandwidth selection) and spatial discretization (vertex…

机器学习 · 统计学 2015-01-13 Nam H. Lee , Carey Priebe , Youngser Park , I-Jeng Wang , Michael Rosen

A clustering algorithm partitions a set of data points into smaller sets (clusters) such that each subset is more tightly packed than the whole. Many approaches to clustering translate the vector data into a graph with edges reflecting a…

几何拓扑 · 数学 2012-06-06 Jesse Johnson

This article explores and analyzes the unsupervised clustering of large partially observed graphs. We propose a scalable and provable randomized framework for clustering graphs generated from the stochastic block model. The clustering is…

社会与信息网络 · 计算机科学 2022-12-06 Mostafa Rahmani , Andre Beckus , Adel Karimian , George Atia

Grouping the nodes of a graph into clusters is a standard technique for studying networks. We study a problem where we are given a directed network and are asked to partition the graph into a sequence of coherent groups. We assume that…

社会与信息网络 · 计算机科学 2025-12-08 Iiro Kumpulainen , Nikolaj Tatti

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

Modern graph or network datasets often contain rich structure that goes beyond simple pairwise connections between nodes. This calls for complex representations that can capture, for instance, edges of different types as well as so-called…

社会与信息网络 · 计算机科学 2020-02-19 Ilya Amburg , Nate Veldt , Austin R. Benson

One of the most useful measures of cluster quality is the modularity of a partition, which measures the difference between the number of the edges joining vertices from the same cluster and the expected number of such edges in a random…

数据分析、统计与概率 · 物理学 2009-09-29 Hristo Djidjev

Graph clustering problems typically aim to partition the graph nodes such that two nodes belong to the same partition set if and only if they are similar. Correlation Clustering is a graph clustering formulation which: (1) takes as input a…

社会与信息网络 · 计算机科学 2021-10-19 Jimit Majmudar , Stephen Vavasis

Clustering a graph means identifying internally dense subgraphs which are only sparsely interconnected. Formalizations of this notion lead to measures that quantify the quality of a clustering and to algorithms that actually find…

数据结构与算法 · 计算机科学 2011-12-12 Robert Görke , Andrea Schumm , Dorothea Wagner

Hypergraphs are a useful abstraction for modeling multiway relationships in data, and hypergraph clustering is the task of detecting groups of closely related nodes in such data. Graph clustering has been studied extensively, and there are…

数据结构与算法 · 计算机科学 2020-07-02 Nate Veldt , Austin R. Benson , Jon Kleinberg

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

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…

数据结构与算法 · 计算机科学 2024-07-10 Felix Hausberger , Marcelo Fonseca Faraj , Christian Schulz

We present a structural clustering algorithm for large-scale datasets of small labeled graphs, utilizing a frequent subgraph sampling strategy. A set of representatives provides an intuitive description of each cluster, supports the…

数据库 · 计算机科学 2016-10-03 Till Schäfer , Petra Mutzel

Dynamic graph clustering aims to detect and track time-varying clusters in dynamic graphs, revealing the evolutionary mechanisms of complex real-world dynamic systems. Matrix factorization-based methods are promising approaches for this…

机器学习 · 计算机科学 2025-02-11 Dongyuan Li , Satoshi Kosugi , Ying Zhang , Manabu Okumura , Feng Xia , Renhe Jiang

Graph neural networks (GNNs) based methods have achieved impressive performance on node clustering task. However, they are designed on the homophilic assumption of graph and clustering on heterophilic graph is overlooked. Due to the lack of…

社会与信息网络 · 计算机科学 2023-05-09 Erlin Pan , Zhao Kang
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