Fionn Murtagh
Abstract
Abstract The triangular inequality is a defining property of a metric space, while the stronger ultrametric inequality is a defining property of an ultrametric space. Any hierarchical agglomerative clustering can be considered as the mapping of points in a metric or indeed nonmetric space into an ultrametric space.
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Abstract The triangular inequality is a defining property of a metric space, while the stronger ultrametric inequality is a defining property of an ultrametric space. Any hierarchical agglomerative clustering can be considered as the mapping of points in a metric or indeed nonmetric space into an ultrametric space.
Key concepts: Ultrametric space, Property (philosophy), Space (punctuation), Metric (unit), Mathematics, Metric space, Triangle inequality, Cluster analysis