Vetenskap & teknik
Pocket
The Structure and Stability of Persistence Modules
Frdric Chazal • Vin De Silva • Marc Glisse • Steve Oudot
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This book is a comprehensive treatment of the theory of persistence modules over the real line. It presents a set of mathematical tools to analyse the structure and to establish the stability of such modules, providing a sound mathematical framework for the study of persistence diagrams. Completely self-contained, this brief introduces the notion of persistence measure and makes extensive use of a new calculus of quiver representations to facilitate explicit computations. Appealing to both beginners and experts in the subject, The Structure and Stability of Persistence Modules provides a purely algebraic presentation of persistence, and thus complements the existing literature, which focuses mainly on topological and algorithmic aspects.
- Illustratör: Bibliographie 7 schwarz-weiße und 14 farbige Abbildungen
- Format: Pocket/Paperback
- ISBN: 9783319425436
- Språk: Engelska
- Antal sidor: 120
- Utgivningsdatum: 2016-10-17
- Förlag: Springer International Publishing AG