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Theory of Agglomerative Hierarchical Clustering

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Recent theoretical advancements in agglomerative hierarchical clustering challenge the notion that its methodology is fully developed. The book presents a general algorithm that enhances traditional linkage methods, utilizing a recursive subprogram to create abstract tree structures for complex data sets. It proves a fundamental theorem for single linkage via fuzzy graphs and explores dendrogram reversals. Additionally, it introduces new methods using positive-definite kernels, making the theoretical insights applicable for users in practical scenarios.

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Theory of Agglomerative Hierarchical Clustering, Sadaaki Miyamoto

Sprache
Erscheinungsdatum
2023
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Sprache
Englisch
Autor*innen
Sadaaki Miyamoto
Erscheinungsdatum
2023
Einband
Paperback
Seitenzahl
120
ISBN13
9789811904226
Reihe
Beschreibung
Recent theoretical advancements in agglomerative hierarchical clustering challenge the notion that its methodology is fully developed. The book presents a general algorithm that enhances traditional linkage methods, utilizing a recursive subprogram to create abstract tree structures for complex data sets. It proves a fundamental theorem for single linkage via fuzzy graphs and explores dendrogram reversals. Additionally, it introduces new methods using positive-definite kernels, making the theoretical insights applicable for users in practical scenarios.