Work

Inverse Problems in Topological Persistence

Year: 2018

Type: preprint

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 right inverses, and the second half focuses on injectivity, i.e. left inverses. Throughout, we highlight the tools and theorems that underlie these advances, and direct the reader's attention to open problems, both theoretical and applied.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.1810.10813

Authors: Oudot, Steve, Solomon, Elchanan

Institution: Brown University

Language: English

Topic: Topological and Geometric Data Analysis

Subfield: Computational Theory and Mathematics

Field: Computer Science

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W4289365081

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