Stability of integral persistence diagrams

A. E. Abzhanov; Ya V. Bazaikin

Stability of integral persistence diagrams

A. E. Abzhanov, Ya V. Bazaikin

Research output: Contribution to journal › Article › peer-review

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

Keywords

Computational topology
Persistence
Stability

ASJC Scopus subject areas

Mathematics(all)

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title = "Stability of integral persistence diagrams",

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",

author = "Abzhanov, {A. E.} and Bazaikin, {Ya V.}",

year = "2014",

language = "English",

volume = "11",

pages = "130--141",

journal = "Siberian Electronic Mathematical Reports",

issn = "1813-3304",

publisher = "Sobolev Institute of Mathematics",

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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

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EP - 141

JO - Siberian Electronic Mathematical Reports

JF - Siberian Electronic Mathematical Reports

SN - 1813-3304

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