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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2014, Volume 11, Pages 130–141 (Mi semr476)  
Geometry and topology

Stability of integral persistence diagrams

A. E. Abzhanova, Ya. V. Bazaikinb

a Nazarbayev University Research and Innovation System
b Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
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Abstract: We define concept of integral persistent diagram which involve geometrical characteristics of excursion sets and prove stability of such diagrams.
Keywords: computational topology, persistence, stability.
Received September 18, 2013, published February 17, 2014
Document Type: Article
UDC: 519.6+515.146
MSC: 55-04
Language: Russian
Citation: A. E. Abzhanov, Ya. V. Bazaikin, “Stability of integral persistence diagrams”, Sib. Èlektron. Mat. Izv., 11 (2014), 130–141
Citation in format AMSBIB
\Bibitem{AbzBaz14}
\by A.~E.~Abzhanov, Ya.~V.~Bazaikin
\paper Stability of integral persistence diagrams
\jour Sib. \`Elektron. Mat. Izv.
\yr 2014
\vol 11
\pages 130--141
\mathnet{http://mi.mathnet.ru/semr476}
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