Statistical aspects of persistent homology

This thesis investigates statistical approaches to interpreting the output of persistent homology, a multi-resolution algorithm for discovering topological structure in data. We provide a brief introduction to the theory of topology and homology. The output is a set of intervals, visualised either a...

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Bibliographic Details
Main Author: Arnold, Matthew George
Published: University of Bristol 2015
Subjects:
514
Online Access:http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.682184