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Field name	Details
Dewey Class	519
Title	Theory of Agglomerative Hierarchical Clustering ( EBook/) / by Sadaaki Miyamoto.
Author	Miyamoto, Sadaaki
Other name(s)	SpringerLink (Online service)
Edition statement	1st ed. 2022.
Publication	Singapore : : Springer Nature Singapore : : Imprint: Springer, , 2022.
Physical Details	VIII, 109 p. 35 illus., 2 illus. in color. : online resource.
Series	Behaviormetrics: Quantitative Approaches to Human Behavior 2524-4035 ; ; 15
ISBN	9789811904202
Summary Note	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. .:
Contents note	Introduction -- Linkage Methods and Algorithms -- Theory of the Single Linkage Method -- Positive-Definite Kernels in Agglomerative Hierarchical Clustering -- Some Other Topics in Agglomerative Hierarchical Clustering -- Miscellanea.
Mode of acces to digital resource	Digital reproduction.-
	Cham :
	Springer International Publishing,
	2022. -
	Mode of access: World Wide Web. System requirements: Internet Explorer 6.0 (or higher) or Firefox 2.0 (or higher). Available as searchable text in PDF format.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site	https://doi.org/10.1007/978-981-19-0420-2
Links to Related Works	Subject References: Applied Statistics . Business information services . IT in Business . Operations research . Operations Research and Decision Theory . Statistics . Authors: author . Miyamoto, Sadaaki . Corporate Authors: SpringerLink (Online service) . Series: Behaviormetrics: Quantitative Approaches to Human Behavior . Classification: 519 .

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Theory of Agglomerative Hierarchical Clustering

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