Téléchargez le livre : Theory of Agglomerative Hierarchical Clustering
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Description
This book discusses recent theoretical developments in agglomerative hierarchical clustering. The general understanding of agglomerative hierarchical clustering is that its theory was completed long ago and there is no room for further methodological studies, at least in its fundamental structure. This book has been planned counter to that view: it will show that there are possibilities for further theoretical studies and they will be not only for methodological interests but also for usefulness in real applications. When compared with traditional textbooks, the present book has several notable features. First, standard linkage methods and agglomerative procedure are described by a general algorithm in which dendrogram output is expressed by a recursive subprogram. That subprogram describes an abstract tree structure, which is used for a two-stage linkage method for a greater number of objects. A fundamental theorem for single linkage using a fuzzy graph is proved, which uncovers several theoretical features of single linkage. Other theoretical properties such as dendrogram reversals are discussed. New methods using positive-definite kernels are considered, and some properties of the Ward method using kernels are studied. Overall, theoretical features are discussed, but the results are useful as well for application-oriented users of agglomerative clustering.



 
Pages
109 pages
Collection
Behaviormetrics: Quantitative Approaches to Human Behavior
Parution
2022-03-21
Marque
Springer
EAN papier
9789811904196
EAN PDF
9789811904202
Informations sur l'ebook
Nombre pages copiables
1
Nombre pages imprimables
10
Taille du fichier
1802 Ko
Ce livre est accessible aux handicaps Voir les informations sur l'accessibilité
Prix
116,04 €
EAN EPUB
9789811904202
Informations sur l'ebook
Nombre pages copiables
1
Nombre pages imprimables
10
Taille du fichier
8233 Ko
Ce livre est accessible aux handicaps Voir les informations sur l'accessibilité
Prix
116,04 €

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