Frédéric Chazal,
Vin de Silva,
Marc Glisse,
Steve Oudot
e.a.
The Structure and Stability of Persistence Modules
Paperback Engels 2016 9783319425436Levertijd ongeveer 9 werkdagen
Gratis verzonden
Samenvatting
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.
Specificaties
ISBN13:9783319425436
Taal:Engels
Bindwijze:paperback
Uitgever:Springer International Publishing
Lezersrecensies
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Inhoudsopgave
Introduction.- Persistence Modules.- Rectangle Measures.- Interleaving.- The Isometry Theorem.- Variations.- References.- Index.
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