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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
- Lingua
- Pubblicato
- 2022
- Rilegatura
- (Copertina rigida)
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- Titolo
- Theory of Agglomerative Hierarchical Clustering
- Lingua
- Inglese
- Autori
- Sadaaki Miyamoto
- Editore
- Springer Nature Singapore
- Pubblicato
- 2022
- Formato
- Copertina rigida
- Pagine
- 120
- ISBN13
- 9789811904196
- Serie
- Tag
- Commercio
- Descrizione
- 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.