The Structure and Stability of Persistence Modules

Released on by Frédéric Chazal
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  • The Structure and Stability of Persistence Modules Book Detail

  • Author : Frédéric Chazal
  • Release Date : 2016-10-08
  • Publisher : Springer
  • Genre : Mathematics
  • Pages : 123
  • ISBN 13 : 3319425455
  • File Size : 2,2 MB
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The Structure and Stability of Persistence Modules by Frédéric Chazal PDF Summary

Book Description: 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.

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