STABILITY OF INTEGRAL PERSISTENCE DIAGRAMS

被引:0
作者
Abzhanov, A. E. [1 ]
Bazaikin, Ya., V
机构
[1] Nazarbayev Univ Res & Innovat Syst, Kabanbay Batyr Ave 53, Astana 010000, Kazakhstan
来源
SIBERIAN ELECTRONIC MATHEMATICAL REPORTS-SIBIRSKIE ELEKTRONNYE MATEMATICHESKIE IZVESTIYA | 2014年 / 11卷
关键词
computational topology; persistence; stability;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We define concept of integral persistent diagram which involve geometrical characteristics of excursion sets and prove stability of such diagrams.
引用
收藏
页码:130 / 141
页数:12
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[2]   Topological persistence and simplification [J].
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Letscher, D ;
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DISCRETE & COMPUTATIONAL GEOMETRY, 2002, 28 (04) :511-533
[3]  
Zomorodian A., 2004, P ANN S COMP GEOM, V274, P347