Mathematical Classification and Clustering

  • Boris Mirkin

Part of the Nonconvex Optimization and Its Applications book series (NOIA, volume 11)

Table of contents

  1. Front Matter
    Pages i-xv
  2. Boris Mirkin
    Pages 1-57
  3. Boris Mirkin
    Pages 59-107
  4. Boris Mirkin
    Pages 109-168
  5. Boris Mirkin
    Pages 169-227
  6. Boris Mirkin
    Pages 229-284
  7. Boris Mirkin
    Pages 285-327
  8. Boris Mirkin
    Pages 329-397
  9. Back Matter
    Pages 399-429

About this book


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 combina­ torial optimization to biology, sociology and organizational structures. It compiles an immense amount of research done to date, including many original Russian de­ velopments never presented to the international community before (for instance, cluster-by-cluster versions of the K-Means method in Chapter 4 or uniform par­ 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 in­ 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.


algorithms artificial intelligence classification clustering clustering algorithm data analysis decision making intelligence Mathematica mathematical statistics optimization Optimization Methods sociology statistics

Authors and affiliations

  • Boris Mirkin
    • 1
  1. 1.DIMACSRutgers UniversityUSA

Bibliographic information

  • DOI
  • Copyright Information Springer-Verlag US 1996
  • Publisher Name Springer, Boston, MA
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4613-8057-3
  • Online ISBN 978-1-4613-0457-9
  • Series Print ISSN 1571-568X
  • Buy this book on publisher's site