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Seriation in combinatorial and statistical data analysis

Record Type:	Electronic resources : Monograph/item
Title/Author:	Seriation in combinatorial and statistical data analysisby Israel Cesar Lerman, Henri Leredde.
Author:	Lerman, Israel Cesar.
other author:	Leredde, Henri.
Published:	Cham :Springer International Publishing :2022.
Description:	xiv, 277 p. :ill. (some col.), digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Data miningStatistical methods.
Online resource:	https://doi.org/10.1007/978-3-030-92694-6
ISBN:	9783030926946$q(electronic bk.)

Seriation in combinatorial and statistical data analysis
Lerman, Israel Cesar.

Seriation in combinatorial and statistical data analysis[electronic resource] /by Israel Cesar Lerman, Henri Leredde. - Cham :Springer International Publishing :2022. - xiv, 277 p. :ill. (some col.), digital ;24 cm. - Advanced information and knowledge processing,2197-8441. - Advanced information and knowledge processing..

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.

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.

ISBN: 9783030926946$q(electronic bk.)

Standard No.: 10.1007/978-3-030-92694-6doiSubjects--Topical Terms:

289696
Data mining
--Statistical methods.

LC Class. No.: QA76.9.D343 / L47 2022

Dewey Class. No.: 006.312

Seriation in combinatorial and statistical data analysis
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505 0 $a 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.
520 $a 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.
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