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© 2016

Foundations and Methods in Combinatorial and Statistical Data Analysis and Clustering

Book

Part of the Advanced Information and Knowledge Processing book series (AI&KP)

Table of contents

  1. Front Matter
    Pages i-xxiv
  2. Israël César Lerman
    Pages 1-59
  3. Israël César Lerman
    Pages 61-99
  4. Israël César Lerman
    Pages 101-148
  5. Israël César Lerman
    Pages 149-197
  6. Israël César Lerman
    Pages 325-356
  7. Israël César Lerman
    Pages 435-512
  8. Israël César Lerman
    Pages 513-582
  9. Israël César Lerman
    Pages 583-638
  10. Israël César Lerman
    Pages 639-647

About this book

Introduction

This book offers an original and broad exploration of the fundamental methods in Clustering and Combinatorial Data Analysis, presenting new formulations and ideas within this very active field.

With extensive introductions, formal and mathematical developments and real case studies, this book provides readers with a deeper understanding of the mutual relationships between these methods, which are clearly expressed with respect to three facets: logical, combinatorial  and  statistical.

Using relational mathematical representation, all types of data structures can be handled 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 object categories
  • Establishing correspondence between these two dual clusterings

Tools for interpreting the reasons of a given cluster or clustering are also included.

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Foundations and Methods in Combinatorial and Statistical Data Analysis and Clustering will be a valuable resource for students and researchers who are interested in the areas of Data Analysis, Clustering, Data Mining and Knowledge Discovery.

Keywords

Association Coefficients Categorical Data Clustering Combinatorial Structures Seriation

Authors and affiliations

  1. 1.Data and Knowledge Management DepartmentUniversity of Rennes 1, IRISARennesFrance

Bibliographic information

  • Book Title Foundations and Methods in Combinatorial and Statistical Data Analysis and Clustering
  • Authors Israël César Lerman
  • Series Title Advanced Information and Knowledge Processing
  • Series Abbreviated Title Adv. Informat. Knowledge Processing (formerly: KIM-Knowled. Inform. Manag.)
  • DOI https://doi.org/10.1007/978-1-4471-6793-8
  • Copyright Information Springer-Verlag London 2016
  • Publisher Name Springer, London
  • eBook Packages Computer Science Computer Science (R0)
  • Hardcover ISBN 978-1-4471-6791-4
  • Softcover ISBN 978-1-4471-7392-2
  • eBook ISBN 978-1-4471-6793-8
  • Series ISSN 1610-3947
  • Series E-ISSN 2197-8441
  • Edition Number 1
  • Number of Pages XXIV, 647
  • Number of Illustrations 54 b/w illustrations, 0 illustrations in colour
  • Topics Data Mining and Knowledge Discovery
    Statistics and Computing/Statistics Programs
    Combinatorics
  • Buy this book on publisher's site
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Reviews

“This book provides a synthetic and systematic presentation of clustering, combinatorial, and statistical data analysis. … the presentation is interesting and original. Keeping a smart balance between theoretical concepts and practical issues, the book is addressed to students and researchers interested in data mining, data analysis, and clustering.” (Florin Gorunescu, zbMATH 1338.62012, 2016)