Geodesic
Stability of integral persistence diagrams
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 11 (2014), pp. 130-141

Voir la notice de l'article provenant de la source Math-Net.Ru

We define concept of integral persistent diagram which involve geometrical characteristics of excursion sets and prove stability of such diagrams.
Keywords: computational topology, stability.
Mots-clés : persistence 
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     author = {A. E. Abzhanov and Ya. V. Bazaikin},
     title = {Stability of integral persistence diagrams},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {130--141},
     publisher = {mathdoc},
     volume = {11},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2014_11_a40/}
}
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A. E. Abzhanov; Ya. V. Bazaikin. Stability of integral persistence diagrams. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 11 (2014), pp. 130-141. http://geodesic.mathdoc.fr/item/SEMR_2014_11_a40/