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Random walks can reveal communities or clusters in networks, because they are more likely to stay within a cluster than leave it. Thus, one family of community detection algorithms uses random walks to measure distance between pairs of…

Disordered Systems and Neural Networks · Physics 2023-08-11 Eric Chalmers , Artur Luczak

The proliferation of the web presents an unsolved problem of automatically analyzing billions of pages of natural language. We introduce a scalable algorithm that clusters hundreds of millions of web pages into hundreds of thousands of…

Information Retrieval · Computer Science 2015-05-22 Christopher M. de Vries , Lance De Vine , Shlomo Geva , Richi Nayak

Prior studies using graph neural networks (GNNs) for image classification have focused on graphs generated from a regular grid of pixels or similar-sized superpixels. In the latter, a single target number of superpixels is defined for an…

Computer Vision and Pattern Recognition · Computer Science 2022-02-01 Varun Vasudevan , Maxime Bassenne , Md Tauhidul Islam , Lei Xing

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…

Geometric Topology · Mathematics 2012-06-06 Jesse Johnson

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

Infomap clustering finds the community structures that minimize the expected description length of a random walk trajectory; algorithms for infomap clustering run fast in practice for large graphs. In this paper we leverage the…

Data Structures and Algorithms · Computer Science 2019-08-23 Seok-Hee Hong , Peter Eades , Marnijati Torkel , Ziyang Wang , David Chae , Sungpack Hong , Daniel Langerenken , Hassan Chafi

Face clustering is an essential tool for exploiting the unlabeled face data, and has a wide range of applications including face annotation and retrieval. Recent works show that supervised clustering can result in noticeable performance…

Computer Vision and Pattern Recognition · Computer Science 2020-04-06 Lei Yang , Dapeng Chen , Xiaohang Zhan , Rui Zhao , Chen Change Loy , Dahua Lin

A graph-based sampling and consensus (GraphSAC) approach is introduced to effectively detect anomalous nodes in large-scale graphs. Existing approaches rely on connectivity and attributes of all nodes to assign an anomaly score per node.…

Machine Learning · Computer Science 2019-10-23 Vassilis N. Ioannidis , Dimitris Berberidis , Georgios B. Giannakis

In this study, we formulate the concept of "mining maximal-size frequent subgraphs" in the challenging domain of visual data (images and videos). In general, visual knowledge can usually be modeled as attributed relational graphs (ARGs)…

Computer Vision and Pattern Recognition · Computer Science 2017-08-15 Quanshi Zhang , Xuan Song , Ryosuke Shibasaki

Rapid and massive adoption of mobile/ online payment services has brought new challenges to the service providers as well as regulators in safeguarding the proper uses such services/ systems. In this paper, we leverage recent advances in…

Social and Information Networks · Computer Science 2019-06-14 Da Sun Handason Tam , Wing Cheong Lau , Bin Hu , Qiu Fang Ying , Dah Ming Chiu , Hong Liu

Given a large social or computer network, how can we visualize it, find patterns, outliers, communities? Although several graph visualization tools exist, they cannot handle large graphs with hundred thousand nodes and possibly million…

Social and Information Networks · Computer Science 2015-07-07 Jose Rodrigues , Agma Traina , Christos Faloutsos , Caetano Traina

One of the major challenges in applications related to social networks, computational biology, collaboration networks etc., is to efficiently search for similar patterns in their underlying graphs. These graphs are typically noisy and…

Social and Information Networks · Computer Science 2015-12-17 Kanigalpula Samanvi , Naveen Sivadasan

We recently proposed a new ensemble clustering algorithm for graphs (ECG) based on the concept of consensus clustering. We validated our approach by replicating a study comparing graph clustering algorithms over benchmark graphs, showing…

Machine Learning · Computer Science 2021-02-17 Valérie Poulin , François Théberge

Link prediction is a fundamental problem for graph-structured data (e.g., social networks, drug side-effect networks, etc.). Graph neural networks have offered robust solutions for this problem, specifically by learning the representation…

Machine Learning · Computer Science 2022-06-27 Paul Louis , Shweta Ann Jacob , Amirali Salehi-Abari

A network has a non-overlapping community structure if the nodes of the network can be partitioned into disjoint sets such that each node in a set is densely connected to other nodes inside the set and sparsely connected to the nodes out-…

Social and Information Networks · Computer Science 2016-07-19 Talasila Sai Deepak , Hindol Adhya , Shyamal Kejriwal , Bhanuteja Gullapalli , Saswata Shannigrahi

In this paper we propose a graph-based data clustering algorithm which is based on exact clustering of a minimum spanning tree in terms of a minimum isoperimetry criteria. We show that our basic clustering algorithm runs in $O(n \log n)$…

Computer Vision and Pattern Recognition · Computer Science 2012-03-20 Amir Daneshgar , Ramin Javadi , Basir Shariat Razavi

This paper describes the systematic application of local topological methods for detecting interfaces and related anomalies in complicated high-dimensional data. By examining the topology of small regions around each point, one can…

Algebraic Topology · Mathematics 2022-05-25 Bernadette J Stolz , Jared Tanner , Heather A Harrington , Vidit Nanda

In real-world scenarios, large graphs represent relationships among entities in complex systems. Mining these large graphs often containing millions of nodes and edges helps uncover structural patterns and meaningful insights. Dividing a…

Social and Information Networks · Computer Science 2025-09-12 Shrabani Ghosh , Erik Saule

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

Many methods have been developed for data clustering, such as k-means, expectation maximization and algorithms based on graph theory. In this latter case, graphs are generally constructed by taking into account the Euclidian distance as a…

Data Analysis, Statistics and Probability · Physics 2011-01-27 Francisco A. Rodrigues , Guilherme Ferraz de Arruda , Luciano da Fontoura Costa