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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

Taal
Jaar van publicatie
2023
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(Paperback)
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Taal
Engels
Jaar van publicatie
2023
Formaat
Paperback
Aantal pagina's
120
ISBN13
9789811904226
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Aantekening
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.