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Stratifying multiparameter persistent homology

Abstract:

A fundamental tool in topological data analysis is persistent homology, which allows extraction of information from complex datasets in a robust way. Persistent homology assigns a module over a principal ideal domain to a one-parameter family of spaces obtained from the data. In applications, data often depend on several parameters, and in this case one is interested in studying the persistent homology of a multiparameter family of spaces associated to the data. While the theory of persistent...

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Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1137/18M1224350

Authors


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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Oxford college:
St Cross College
Role:
Author
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Name:
Royal Society
Grant:
UF150238
More from this funder
Name:
Engineering and Physical Sciences Research Council
Grant:
EP/K041096/1
Publisher:
Society for Industrial and Applied Mathematics
Journal:
SIAM Journal on Applied Algebra and Geometry More from this journal
Volume:
3
Issue:
3
Pages:
439–471
Publication date:
2019-09-05
Acceptance date:
2019-06-03
DOI:
ISSN:
2470-6566
Keywords:
Pubs id:
pubs:997517
UUID:
uuid:fd2531c3-6525-4b18-b885-d33e13c73989
Local pid:
pubs:997517
Source identifiers:
997517
Deposit date:
2019-05-10

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