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001445500 001__ 1445500
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001445500 0247_ $$a10.1007/978-981-19-0420-2$$2doi
001445500 035__ $$aSP(OCoLC)1306167916
001445500 040__ $$aFIE$$beng$$erda$$epn$$cFIE$$dYDX$$dEBLCP$$dOCLCO$$dGW5XE$$dOCLCO$$dOCLCF$$dUKAHL$$dOCLCQ
001445500 049__ $$aISEA
001445500 050_4 $$aQA278.55$$b.M59 2022
001445500 08204 $$a519.5/3$$223
001445500 1001_ $$aMiyamoto, Sadaaki,$$d1950-$$eauthor.
001445500 24510 $$aTheory of agglomerative hierarchical clustering /$$cSadaaki Miyamoto.
001445500 264_1 $$aSingapore :$$bSpringer,$$c[2022]
001445500 264_4 $$c©2022
001445500 300__ $$a1 online resource (viii, 109 pages) :$$billustrations (some color).
001445500 336__ $$atext$$btxt$$2rdacontent
001445500 337__ $$acomputer$$bc$$2rdamedia
001445500 338__ $$aonline resource$$bcr$$2rdacarrier
001445500 4901_ $$aBehaviormetrics: quantitative approaches to human behavior,$$x2524-4035 ;$$vvolume 15
001445500 504__ $$aIncludes bibliographical references and index.
001445500 5050_ $$aIntroduction -- 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.
001445500 506__ $$aAccess limited to authorized users.
001445500 520__ $$aThis 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.--$$cProvided by publisher.
001445500 588__ $$aOnline resource; title from PDF title page (SpringerLink, viewed April 5, 2022).
001445500 650_0 $$aHierarchical clustering (Cluster analysis)
001445500 650_0 $$aStatistics.
001445500 650_0 $$aOperations research.
001445500 650_0 $$aBusiness information services.
001445500 650_6 $$aRecherche opérationnelle.
001445500 650_6 $$aAffaires$$xServices d'information.
001445500 655_0 $$aElectronic books.
001445500 77608 $$iPrint version: $$z9811904197$$z9789811904196$$w(OCoLC)1294136387
001445500 830_0 $$aBehaviormetrics: quantitative approaches to human behavior ;$$vvolume 15.$$x2524-4035
001445500 852__ $$bebk
001445500 85640 $$3Springer Nature$$uhttps://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-981-19-0420-2$$zOnline Access$$91397441.1
001445500 909CO $$ooai:library.usi.edu:1445500$$pGLOBAL_SET
001445500 980__ $$aBIB
001445500 980__ $$aEBOOK
001445500 982__ $$aEbook
001445500 983__ $$aOnline
001445500 994__ $$a92$$bISE