Seriation in combinatorial and statistical data analysis / Israël César Lerman, Henri Leredde.
2022
QA76.9.D343 L47 2022
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Details
Title
Seriation in combinatorial and statistical data analysis / Israël César Lerman, Henri Leredde.
ISBN
9783030926946 (electronic bk.)
303092694X (electronic bk.)
9783030926939
3030926931
303092694X (electronic bk.)
9783030926939
3030926931
Published
Cham : Springer, [2022]
Copyright
©2022
Language
English
Description
1 online resource : illustrations (some color).
Item Number
10.1007/978-3-030-92694-6 doi
Call Number
QA76.9.D343 L47 2022
Dewey Decimal Classification
006.3/12
Summary
This monograph offers an original broad and very diverse exploration of the seriation domain in data analysis, together with building a specific relation to clustering. Relative to a data table crossing a set of objects and a set of descriptive attributes, the search for orders which correspond respectively to these two sets is formalized mathematically and statistically. State-of-the-art methods are created and compared with classical methods and a thorough understanding of the mutual relationships between these methods is clearly expressed. The authors distinguish two families of methods: Geometric representation methods Algorithmic and Combinatorial methods Original and accurate methods are provided in the framework for both families. Their basis and comparison is made on both theoretical and experimental levels. The experimental analysis is very varied and very comprehensive. Seriation in Combinatorial and Statistical Data Analysis has a unique character in the literature falling within the fields of Data Analysis, Data Mining and Knowledge Discovery. It will be a valuable resource for students and researchers in the latter fields.
Bibliography, etc. Note
Includes bibliographical references and index.
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Access limited to authorized users.
Source of Description
Description based on print version record.
Added Author
Leredde, Henri, author.
Series
Advanced information and knowledge processing.
Available in Other Form
SERIATION IN COMBINATORIAL AND STATISTICAL DATA ANALYSIS.
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Table of Contents
Preface
Acknowledgements
General Introduction. Methods and History
Seriation from Proximity Variance Analysis
Main Approachs in Seriation. The Attraction Pole Case
Comparing Geometrical and Ordinal Seriation Methods in Formal and Real Cases
A New Family of Combinatorial Algorithms in Seriation
Clustering Methods from Proximity Variance Analysis
Conclusion and Developments.
Acknowledgements
General Introduction. Methods and History
Seriation from Proximity Variance Analysis
Main Approachs in Seriation. The Attraction Pole Case
Comparing Geometrical and Ordinal Seriation Methods in Formal and Real Cases
A New Family of Combinatorial Algorithms in Seriation
Clustering Methods from Proximity Variance Analysis
Conclusion and Developments.