Foundations and Methods in Combinatorial and Statistical Data Analysis and Clustering

  • Israël César Lerman

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


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.


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.


Association Coefficients Categorical Data Clustering Combinatorial Structures Seriation

Authors and affiliations

  • Israël César Lerman
    • 1
  1. 1.Data and Knowledge Management DepartmentUniversity of Rennes 1, IRISARennesFrance

Bibliographic information

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