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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

Lingua
Pubblicato
2023
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Metodi di pagamento

Lingua
Inglese
Pubblicato
2023
Formato
In brossura
Pagine
120
ISBN13
9789811904226
Serie
Descrizione
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.