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Related papers: Hierarchical clustering for graph visualization

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We consider a matrix completion problem that exploits social or item similarity graphs as side information. We develop a universal, parameter-free, and computationally efficient algorithm that starts with hierarchical graph clustering and…

Machine Learning · Statistics 2022-01-06 Adel Elmahdy , Junhyung Ahn , Changho Suh , Soheil Mohajer

This paper focuses on density-based clustering, particularly the Density Peak (DP) algorithm and the one based on density-connectivity DBSCAN; and proposes a new method which takes advantage of the individual strengths of these two methods…

Machine Learning · Computer Science 2024-01-30 Ye Zhu , Kai Ming Ting , Yuan Jin , Maia Angelova

Hierarchical clustering is an important technique to organize big data for exploratory data analysis. However, existing one-size-fits-all hierarchical clustering methods often fail to meet the diverse needs of different users. To address…

Machine Learning · Computer Science 2020-09-22 Weikai Yang , Xiting Wang , Jie Lu , Wenwen Dou , Shixia Liu

We introduce a metric space of clusterings, where clusterings are described by a binary vector indexed by the vertex-pairs. We extend this geometry to a hypersphere and prove that maximizing modularity is equivalent to minimizing the…

Social and Information Networks · Computer Science 2022-02-22 Martijn Gösgens , Remco van der Hofstad , Nelly Litvak

In this paper, we present a new approach of distributed clustering for spatial datasets, based on an innovative and efficient aggregation technique. This distributed approach consists of two phases: 1) local clustering phase, where each…

Databases · Computer Science 2018-02-05 Malika Bendechache , Nhien-An Le-Khac , M-Tahar Kechadi

Clustering is indispensable for data analysis in many scientific disciplines. Detecting clusters from heavy noise remains challenging, particularly for high-dimensional sparse data. Based on graph-theoretic framework, the present paper…

Computer Vision and Pattern Recognition · Computer Science 2014-07-08 Deli Zhao , Xiaoou Tang

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…

Data Structures and Algorithms · Computer Science 2019-08-22 Amyra Meidiana , Seok-Hee Hong , Peter Eades , Daniel Keim

Infectious diseases typically spread over a contact network with millions of individuals, whose sheer size is a tremendous challenge to analysing and controlling an epidemic outbreak. For some contact networks, it is possible to group…

Physics and Society · Physics 2021-07-23 Bastian Prasse , Karel Devriendt , Piet Van Mieghem

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,…

Machine Learning · Computer Science 2023-02-07 Jinyu Cai , Yi Han , Wenzhong Guo , Jicong Fan

The paper introduces an approach to identify a set of spatially constrained homogeneous areas maximally homogeneous in terms of epidemic trends. The proposed hierarchical algorithm is based on the Dynamic TimeWarping distances between…

Applications · Statistics 2020-06-08 Roberto Benedetti , Federica Piersimoni , Giacomo Pignataro , Francesco Vidoli

We develop new methods based on graph motifs for graph clustering, allowing more efficient detection of communities within networks. We focus on triangles within graphs, but our techniques extend to other clique motifs as well. Our…

Data Structures and Algorithms · Computer Science 2017-02-07 Charalampos Tsourakakis , Jakub Pachocki , Michael Mitzenmacher

We apply a force-directed spring embedding graph layout approach to electronic health records in order to visualise population-wide associations between human disorders as presented in an individual biological organism. The introduced…

Quantitative Methods · Quantitative Biology 2015-05-14 Max Moldovan , Ruslan Enikeev , Shabbir Syed-Abdul , Alex Nguyen , Yo-Cheng Chang , Yu-Chuan Li

Many complex networks have an underlying modular structure, i.e., structural subunits (communities or clusters) characterized by highly interconnected nodes. The modularity $Q$ has been introduced as a measure to assess the quality of…

Disordered Systems and Neural Networks · Physics 2009-11-11 Stefanie Muff , Francesco Rao , Amedeo Caflisch

We present a method for hierarchical clustering of data called {\it mutual information clustering} (MIC) algorithm. It uses mutual information (MI) as a similarity measure and exploits its grouping property: The MI between three objects $X,…

Quantitative Methods · Quantitative Biology 2007-05-23 Alexander Kraskov , Harald Stoegbauer , Ralph G. Andrzejak , Peter Grassberger

A visualisation tool is presented to facilitate the study on large-scale communications networks. This tool provides a simple and effective way to summarise the topology of a complex network at a coarse level.

Networking and Internet Architecture · Computer Science 2009-09-29 Yuchun Guo , Changjia Chen , Shi Zhou

Relationship between agents can be conveniently represented by graphs. When these relationships have different modalities, they are better modelled by multilayer graphs where each layer is associated with one modality. Such graphs arise…

Machine Learning · Statistics 2021-03-05 Guillaume Braun , Hemant Tyagi , Christophe Biernacki

This work considers clustering nodes of a largely incomplete graph. Under the problem setting, only a small amount of queries about the edges can be made, but the entire graph is not observable. This problem finds applications in…

Machine Learning · Computer Science 2021-10-04 Shahana Ibrahim , Xiao Fu

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…

Machine Learning · Statistics 2016-11-17 Yudong Chen , Sujay Sanghavi , Huan Xu

We propose a model to address the overlooked problem of node clustering in simple hypergraphs. Simple hypergraphs are suitable when a node may not appear multiple times in the same hyperedge, such as in co-authorship datasets. Our model…

Methodology · Statistics 2024-05-20 Luca Brusa , Catherine Matias

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…

Machine Learning · Computer Science 2023-09-13 Yue Liu , Jun Xia , Sihang Zhou , Xihong Yang , Ke Liang , Chenchen Fan , Yan Zhuang , Stan Z. Li , Xinwang Liu , Kunlun He