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Sampling random nodes is a fundamental algorithmic primitive in the analysis of massive networks, with many modern graph mining algorithms critically relying on it. We consider the task of generating a large collection of random nodes in…

Social and Information Networks · Computer Science 2021-10-27 Omri Ben-Eliezer , Talya Eden , Joel Oren , Dimitris Fotakis

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

Like clustering analysis, community detection aims at assigning nodes in a network into different communities. Fdp is a recently proposed density-based clustering algorithm which does not need the number of clusters as prior input and the…

Social and Information Networks · Computer Science 2016-09-21 Tao You , Ben-Chang Shia , Zhong-Yuan Zhang

Cluster detection plays a fundamental role in the analysis of data. In this paper, we focus on the use of s-defective clique models for network-based cluster detection and propose a nonlinear optimization approach that efficiently handles…

Optimization and Control · Mathematics 2021-03-31 Immanuel M. Bomze , Francesco Rinaldi , Damiano Zeffiro

We propose two spectral algorithms for partitioning nodes in directed graphs respectively with a cyclic and an acyclic pattern of connection between groups of nodes. Our methods are based on the computation of extremal eigenvalues of the…

Data Structures and Algorithms · Computer Science 2018-05-09 H. Van Lierde , T. W. S. Chow , J. -C. Delvenne

Nowadays, networks are almost ubiquitous. In the past decade, community detection received an increasing interest as a way to uncover the structure of networks by grouping nodes into communities more densely connected internally than…

Data Structures and Algorithms · Computer Science 2015-03-20 Erwan Le Martelot , Chris Hankin

We consider the task of detecting a salient cluster in a sensor network, that is, an undirected graph with a random variable attached to each node. Motivated by recent research in environmental statistics and the drive to compete with the…

Statistics Theory · Mathematics 2013-03-22 Ery Arias-Castro , Geoffrey R. Grimmett

We give a simple, local process for nodes in an undirected graph to form non-adjacent clusters that (1) have at most a polylogarithmic diameter and (2) contain at least half of all vertices. Efficient deterministic distributed clustering…

Data Structures and Algorithms · Computer Science 2022-10-24 Václav Rozhoň , Bernhard Haeupler , Christoph Grunau

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…

Social and Information Networks · Computer Science 2023-06-14 Shenghao Yang , Kimon Fountoulakis

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…

Social and Information Networks · Computer Science 2021-02-17 Muhammad Irfan Yousuf , Izza Anwer , Raheel Anwar

Clustering large high-dimensional datasets with diverse variable is essential for extracting high-level latent information from these datasets. Here, we developed an unsupervised clustering algorithm, we call "Village-Net". Village-Net is…

A novel approach rooted on the notion of consensus clustering, a strategy developed for community detection in complex networks, is proposed to cope with the heterogeneity that characterizes connectivity matrices in health and disease. The…

Neurons and Cognition · Quantitative Biology 2017-05-09 Javier Rasero , Mario Pellicoro , Leonardo Angelini , Jesus M. Cortes , Daniele Marinazzo , Sebastiano Stramaglia

Identifying the underlying models in a set of data points contaminated by noise and outliers, leads to a highly complex multi-model fitting problem. This problem can be posed as a clustering problem by the projection of higher order…

Computer Vision and Pattern Recognition · Computer Science 2018-08-01 Ruwan Tennakoon , Alireza Sadri , Reza Hoseinnezhad , Alireza Bab-Hadiashar

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…

Data Analysis, Statistics and Probability · Physics 2009-09-29 Hristo Djidjev

We propose a graph-based clustering method based on Cluster Catch Digraphs (CCDs) that extends their applicability to moderate-dimensional data settings. Existing CCD variants, such as RK-CCDs, rely on spatial randomness tests based on…

Machine Learning · Computer Science 2026-04-15 Rui Shi , Elvan Ceyhan , Nedret Billor

Clustering is a fundamental problem in network analysis that finds closely connected groups of nodes and separates them from other nodes in the graph, while link prediction is to predict whether two nodes in a network are likely to have a…

Social and Information Networks · Computer Science 2022-11-29 Shanfan Zhang , Wenjiao Zhang , Zhan Bu

In this paper, we present a novel way to summarize the structure of large graphs, based on non-parametric estimation of edge density in directed multigraphs. Following coclustering approach, we use a clustering of the vertices, with a…

Social and Information Networks · Computer Science 2015-08-07 Marc Boullé

Clustering trajectory data attracted considerable attention in the last few years. Most of prior work assumed that moving objects can move freely in an euclidean space and did not consider the eventual presence of an underlying road network…

Machine Learning · Computer Science 2013-10-22 Mohamed Khalil El Mahrsi , Fabrice Rossi

Community detection is a commonly used technique for identifying groups in a network based on similarities in connectivity patterns. To facilitate community detection in large networks, we recast the network to be partitioned into a smaller…

Social and Information Networks · Computer Science 2017-06-14 Natalie Stanley , Roland Kwitt , Marc Niethammer , Peter J. Mucha

Graph clustering, or community detection, is the task of identifying groups of closely related objects in a large network. In this paper we introduce a new community-detection framework called LambdaCC that is based on a specially weighted…

Data Structures and Algorithms · Computer Science 2018-07-17 Nate Veldt , David Gleich , Anthony Wirth