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AuthorMirkin, Boris. author
TitleMathematical Classification and Clustering [electronic resource] / by Boris Mirkin
ImprintBoston, MA : Springer US, 1996
Connect tohttp://dx.doi.org/10.1007/978-1-4613-0457-9
Descript 448 p. online resource

SUMMARY

I am very happy to have this opportunity to present the work of Boris Mirkin, a distinguished Russian scholar in the areas of data analysis and decision making methodologies. The monograph is devoted entirely to clustering, a discipline dispersed through many theoretical and application areas, from mathematical statistics and combinaยญ torial optimization to biology, sociology and organizational structures. It compiles an immense amount of research done to date, including many original Russian deยญ velopments never presented to the international community before (for instance, cluster-by-cluster versions of the K-Means method in Chapter 4 or uniform parยญ titioning in Chapter 5). The author's approach, approximation clustering, allows him both to systematize a great part of the discipline and to develop many inยญ novative methods in the framework of optimization problems. The optimization methods considered are proved to be meaningful in the contexts of data analysis and clustering. The material presented in this book is quite interesting and stimulating in paradigms, clustering and optimization. On the other hand, it has a substantial application appeal. The book will be useful both to specialists and students in the fields of data analysis and clustering as well as in biology, psychology, economics, marketing research, artificial intelligence, and other scientific disciplines. Panos Pardalos, Series Editor


CONTENT

Classes and Clusters -- Geometry of Data Sets -- Clustering Algorithms: a Review -- Single Cluster Clustering -- Partition: Square Data Table -- Partition: Rectangular Data Table -- Hierarchy as a Clustering Structure


Statistics Operations research Decision making Artificial intelligence Mathematical optimization Statistics Statistics general Artificial Intelligence (incl. Robotics) Operation Research/Decision Theory Optimization



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