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Clustering in graphs and hypergraphs with categorical edge labels

Ilya Amburg, Nate Veldt, Austin Benson

202060 citationsDOIOpen Access PDF

Abstract

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 “higher-order interactions” that involve more than two nodes at a time. However, we have fewer rigorous methods that can provide insight from such representations. Here, we develop a computational framework for the problem of clustering hypergraphs with categorical edge labels — or different interaction types — where clusters corresponds to groups of nodes that frequently participate in the same type of interaction.

Topics & Concepts

Pairwise comparisonCategorical variableCluster analysisMathematicsEnhanced Data Rates for GSM EvolutionCombinatoricsSimple (philosophy)Theoretical computer scienceGraphComputer scienceType (biology)Artificial intelligenceGraph theoryDiscrete mathematicsClustering coefficientPattern recognition (psychology)HypergraphComplex networkData miningCorrelation clusteringSingle-linkage clusteringComplex Network Analysis TechniquesAdvanced Clustering Algorithms ResearchData Visualization and Analytics
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