TY - GEN
T1 - Inverse Problems in Topological Persistence
AU - Oudot, Steve
AU - Solomon, Elchanan
N1 - Publisher Copyright:
© 2020, Springer Nature Switzerland AG.
PY - 2020/1/1
Y1 - 2020/1/1
N2 - 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.
AB - 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.
UR - https://www.scopus.com/pages/publications/85087749398
U2 - 10.1007/978-3-030-43408-3_16
DO - 10.1007/978-3-030-43408-3_16
M3 - Conference contribution
AN - SCOPUS:85087749398
SN - 9783030434076
T3 - Abel Symposia
SP - 405
EP - 433
BT - Topological Data Analysis - The Abel Symposium, 2018
A2 - Baas, Nils A.
A2 - Quick, Gereon
A2 - Szymik, Markus
A2 - Thaule, Marius
A2 - Carlsson, Gunnar E.
PB - Springer
T2 - Abel Symposium, 2018
Y2 - 4 June 2018 through 8 June 2018
ER -