Abstract
We define concept of integral persistent diagram which involve geometrical characteristics of excursion sets and prove stability of such diagrams.
| Original language | English |
|---|---|
| Pages (from-to) | 130-141 |
| Number of pages | 12 |
| Journal | Siberian Electronic Mathematical Reports |
| Volume | 11 |
| Publication status | Published - 2014 |
| Externally published | Yes |
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Keywords
- Computational topology
- Persistence
- Stability
ASJC Scopus subject areas
- Mathematics(all)
Cite this
Stability of integral persistence diagrams. / Abzhanov, A. E.; Bazaikin, Ya V.
In: Siberian Electronic Mathematical Reports, Vol. 11, 2014, p. 130-141.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Stability of integral persistence diagrams
AU - Abzhanov, A. E.
AU - Bazaikin, Ya V.
PY - 2014
Y1 - 2014
N2 - We define concept of integral persistent diagram which involve geometrical characteristics of excursion sets and prove stability of such diagrams.
AB - We define concept of integral persistent diagram which involve geometrical characteristics of excursion sets and prove stability of such diagrams.
KW - Computational topology
KW - Persistence
KW - Stability
UR - http://www.scopus.com/inward/record.url?scp=85007483162&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85007483162&partnerID=8YFLogxK
M3 - Article
VL - 11
SP - 130
EP - 141
JO - Siberian Electronic Mathematical Reports
JF - Siberian Electronic Mathematical Reports
SN - 1813-3304
ER -