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Theory of Agglomerative Hierarchical Clustering
Engelsk Paperback

Theory of Agglomerative Hierarchical Clustering

Engelsk Paperback

970 kr
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Om denne bog
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.

 



Product detaljer
Sprog:
Engelsk
Sider:
109
ISBN-13:
9789811904226
Indbinding:
Paperback
Udgave:
ISBN-10:
9811904227
Udg. Dato:
23 mar 2023
Længde:
0mm
Bredde:
155mm
Højde:
235mm
Forlag:
Springer Verlag, Singapore
Oplagsdato:
23 mar 2023
Forfatter(e):
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