Journal of Machine Learning Research · 2010 · 111 citations · 0 references
Natural SciencesComputer ScienceMathematicsComputational GeometryDiscrete MathematicsSet TheoryDocument ClusteringMetric GeometryMetric SpacesAxiomatic GeometryDendrogramsGromov-hausdorff DistanceHausdorff DistanceHierarchical Cluster AnalysisHierarchical ClusteringUltrametric SpacesUniqueness Theorems
We study hierarchical clustering schemes under an axiomatic view. We show that within this framework, one can prove a theorem analogous to one of Kleinberg (2002), in which one obtains an existence...