Overview
- Presents mathematical, statistical and experimental developments of original methods in Seriation
- Offers new and comprehensive view of seriation methods highlighting their respective relationships
- Produces a thorough experimental analysis validating the respective roles of different methods in seriation
Part of the book series: Advanced Information and Knowledge Processing (AI&KP)
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About this book
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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Keywords
Table of contents (7 chapters)
Authors and Affiliations
About the authors
Teacher-researcher in Applied Mathematics and Computer Science, Henri Leredde worked as a member of the Mathematics department at Sorbonne Paris Nord University. He was Director of Studies for the "Telecom and Networks" part of the Sup Galilée engineering school. He is now an associate researcher at LAGA(1). In addition, he is an archaeologist, specialist in Gallo-Roman pottery and also practices numerous aerial surveys in archeology as a pilot.
(1) - LAGA : Laboratoire Analyse, Géométrie et Applications, CNRS UMR 7539 and Department of Mathematics, Institut Galilée, Sorbonne Paris-Nord University.
Bibliographic Information
Book Title: Seriation in Combinatorial and Statistical Data Analysis
Authors: Israël César Lerman, Henri Leredde
Series Title: Advanced Information and Knowledge Processing
DOI: https://doi.org/10.1007/978-3-030-92694-6
Publisher: Springer Cham
eBook Packages: Computer Science, Computer Science (R0)
Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2022
Hardcover ISBN: 978-3-030-92693-9Published: 05 March 2022
Softcover ISBN: 978-3-030-92696-0Published: 06 March 2023
eBook ISBN: 978-3-030-92694-6Published: 04 March 2022
Series ISSN: 1610-3947
Series E-ISSN: 2197-8441
Edition Number: 1
Number of Pages: XIV, 277
Number of Illustrations: 108 b/w illustrations, 6 illustrations in colour
Topics: Data Mining and Knowledge Discovery, Mathematics of Computing, Machine Learning