Foundations and Methods in Combinatorial and Statistical Data Analysis and Clustering

By: Israël César Lerman

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Synopsis: This bookoffers an original and broad exploration of the fundamental methods in Clusteringand Combinatorial Data Analysis, presenting new formulations and ideas withinthis very active field. With extensive introductions, formal andmathematical developments and real case studies, this book provides readerswith a deeper understanding of the mutual relationships between these methods,which are clearly expressed with respect to three facets: logical,combinatorial and statistical. Usingrelational mathematical representation, all types of data structures can behandled in precise and unified ways which the author highlights in three stages: Clustering a set of descriptive attributes Clustering a set of objects or a set of objectcategories Establishing correspondence between these twodual clusterings Tools forinterpreting the reasons of a given cluster or clustering are also included. Foundations and Methods in Combinatorial andStatistical Data Analysis and Clustering will be a valuable resource for students andresearchers who are interested in the areas of Data Analysis, Clustering, DataMining and Knowledge Discovery.