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Computational Topology for Data Analysis
Buch von Tamal Krishna Dey (u. a.)
Sprache: Englisch

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Beschreibung
This book provides a computational and algorithmic foundation for techniques in topological data analysis, with examples and exercises.
This book provides a computational and algorithmic foundation for techniques in topological data analysis, with examples and exercises.
Über den Autor
Tamal Krishna Dey is Professor of Computer Science at Purdue University. Before joining Purdue, he was a faculty in the CSE department of The Ohio State University. He has held academic positions at Indiana University-Purdue University at Indianapolis, Indian Institute of Technology Kharagpur, and Max Planck Institute. His research interests include computational geometry, computational topology and their applications to geometric modeling and data analysis. He has (co)authored two books Curve and Surface Reconstruction: Algorithms with Mathematical Analysis (Cambridge University Press) and Delaunay Mesh Generation (CRC Press), and (co)authored more than 200 scientific articles. Dey is a fellow of the IEEE, ACM, and Solid Modeling Association.
Inhaltsverzeichnis
1. Basics; 2. Complexes and homology groups; 3. Topological persistence; 4. General persistence; 5. Generators and optimality; 6. Topological analysis of point clouds; 7. Reeb graphs; 8. Topological analysis of graphs; 9. Cover, nerve and Mapper; 10. Discrete Morse theory and applications; 11. Multiparameter persistence and decomposition; 12. Multiparameter persistence and distances; 13. Topological persistence and machine learning.
Details
Erscheinungsjahr: 2022
Fachbereich: Allgemeines
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Seiten: 454
Inhalt: Gebunden
ISBN-13: 9781009098168
ISBN-10: 1009098160
Sprache: Englisch
Ausstattung / Beilage: HC gerader Rücken kaschiert
Einband: Gebunden
Autor: Dey, Tamal Krishna
Wang, Yusu
Hersteller: Cambridge University Press
Maße: 235 x 157 x 29 mm
Von/Mit: Tamal Krishna Dey (u. a.)
Erscheinungsdatum: 10.03.2022
Gewicht: 0,805 kg
preigu-id: 120755766
Über den Autor
Tamal Krishna Dey is Professor of Computer Science at Purdue University. Before joining Purdue, he was a faculty in the CSE department of The Ohio State University. He has held academic positions at Indiana University-Purdue University at Indianapolis, Indian Institute of Technology Kharagpur, and Max Planck Institute. His research interests include computational geometry, computational topology and their applications to geometric modeling and data analysis. He has (co)authored two books Curve and Surface Reconstruction: Algorithms with Mathematical Analysis (Cambridge University Press) and Delaunay Mesh Generation (CRC Press), and (co)authored more than 200 scientific articles. Dey is a fellow of the IEEE, ACM, and Solid Modeling Association.
Inhaltsverzeichnis
1. Basics; 2. Complexes and homology groups; 3. Topological persistence; 4. General persistence; 5. Generators and optimality; 6. Topological analysis of point clouds; 7. Reeb graphs; 8. Topological analysis of graphs; 9. Cover, nerve and Mapper; 10. Discrete Morse theory and applications; 11. Multiparameter persistence and decomposition; 12. Multiparameter persistence and distances; 13. Topological persistence and machine learning.
Details
Erscheinungsjahr: 2022
Fachbereich: Allgemeines
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Seiten: 454
Inhalt: Gebunden
ISBN-13: 9781009098168
ISBN-10: 1009098160
Sprache: Englisch
Ausstattung / Beilage: HC gerader Rücken kaschiert
Einband: Gebunden
Autor: Dey, Tamal Krishna
Wang, Yusu
Hersteller: Cambridge University Press
Maße: 235 x 157 x 29 mm
Von/Mit: Tamal Krishna Dey (u. a.)
Erscheinungsdatum: 10.03.2022
Gewicht: 0,805 kg
preigu-id: 120755766
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