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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.
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https://hal.inria.fr/hal-01966676
Contributor : Steve Oudot <>
Submitted on : Saturday, December 29, 2018 - 10:37:12 AM
Last modification on : Wednesday, January 20, 2021 - 3:36:16 AM

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

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

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