Foundations and methods in combinato...
Lerman, Israel Cesar.

 

  • Foundations and methods in combinatorial and statistical data analysis and clustering[electronic resource] /
  • 紀錄類型: 書目-語言資料,印刷品 : Monograph/item
    杜威分類號: 511.6
    書名/作者: Foundations and methods in combinatorial and statistical data analysis and clustering/ by Israel Cesar Lerman.
    作者: Lerman, Israel Cesar.
    出版者: London : : Springer London :, 2016.
    面頁冊數: xxiv, 647 p. : : ill., digital ;; 24 cm.
    Contained By: Springer eBooks
    標題: Combinatorial analysis.
    標題: Document clustering.
    標題: Quantitative research.
    標題: Computer Science.
    標題: Data Mining and Knowledge Discovery.
    標題: Statistics and Computing/Statistics Programs.
    標題: Combinatorics.
    ISBN: 9781447167938
    ISBN: 9781447167914
    內容註: Preface -- On Some Facets of the Partition Set of a Finite Set -- Two Methods of Non-hierarchical Clustering -- Structure and Mathematical Representation of Data -- Ordinal and Metrical Analysis of the Resemblance Notion -- Comparing Attributes by a Probabilistic and Statistical Association I -- Comparing Attributes by a Probabilistic and Statistical Association II -- Comparing Objects or Categories Described by Attributes -- The Notion of "Natural" Class, Tools for its Interpretation. The Classifiability Concept -- Quality Measures in Clustering -- Building a Classification Tree -- Applying the LLA Method to Real Data -- Conclusion and Thoughts for Future Works.
    摘要、提要註: 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.
    電子資源: http://dx.doi.org/10.1007/978-1-4471-6793-8
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