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Theory of Agglomerative Hierarchical Clustering

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Agglomerative hierarchical clustering is explored through recent theoretical advancements, challenging the notion that its foundational theory is complete. The book presents a general algorithm for standard linkage methods, utilizing a recursive subprogram to illustrate dendrogram outputs. It proves a fundamental theorem for single linkage with fuzzy graphs and discusses theoretical properties like dendrogram reversals. Additionally, it examines new methods involving positive-definite kernels and their implications for the Ward method, making the findings relevant for both theoretical exploration and practical applications.

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Theory of Agglomerative Hierarchical Clustering, Sadaaki Miyamoto

Sprache
Erscheinungsdatum
2022
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(Hardcover)
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Titel
Theory of Agglomerative Hierarchical Clustering
Sprache
Englisch
Autor*innen
Sadaaki Miyamoto
Erscheinungsdatum
2022
Einband
Hardcover
Seitenzahl
120
ISBN13
9789811904196
Reihe
Beschreibung
Agglomerative hierarchical clustering is explored through recent theoretical advancements, challenging the notion that its foundational theory is complete. The book presents a general algorithm for standard linkage methods, utilizing a recursive subprogram to illustrate dendrogram outputs. It proves a fundamental theorem for single linkage with fuzzy graphs and discusses theoretical properties like dendrogram reversals. Additionally, it examines new methods involving positive-definite kernels and their implications for the Ward method, making the findings relevant for both theoretical exploration and practical applications.