Service interruption on Monday 11 July from 12:30 to 13:00: all the sites of the CCSD (HAL, Epiciences, SciencesConf, AureHAL) will be inaccessible (network hardware connection).
Skip to Main content Skip to Navigation
Journal articles

Inverse Problems in Topological Persistence: a Survey

Steve Oudot 1 Elchanan Solomon 2 
1 DATASHAPE - Understanding the Shape of Data
CRISAM - Inria Sophia Antipolis - Méditerranée , Inria Saclay - Ile de France
Abstract : In this survey, we review the literature on inverse problems in topological persistence theory.The first half of the survey is concerned with the question of surjectivity, i.e. the existence of rightinverses, and the second half focuses on injectivity, i.e. left inverses. Throughout, we highlightthe tools and theorems that underlie these advances, and direct the reader’s attention to openproblems, both theoretical and applied.
Complete list of metadata

https://hal.inria.fr/hal-01966676
Contributor : Steve Oudot Connect in order to contact the contributor
Submitted on : Saturday, December 29, 2018 - 10:37:12 AM
Last modification on : Friday, February 4, 2022 - 3:24:58 AM

Links full text

Identifiers

  • HAL Id : hal-01966676, version 1
  • ARXIV : 1810.10813

Citation

Steve Oudot, Elchanan Solomon. Inverse Problems in Topological Persistence: a Survey. Abel Symposia, Springer, 2020. ⟨hal-01966676⟩

Share

Metrics

Record views

82