Persistence Diagrams as Diagrams: A Categorification of the Stability Theorem-Reference-Cited by-同舟云学术

Persistence Diagrams as Diagrams: A Categorification of the Stability Theorem

Published:2020 Issue: Volume: Page:67-96
ISSN:2193-2808
Container-title:Topological Data Analysis
language:
Short-container-title:

Author:

Bauer Ulrich,Lesnick Michael

Publisher

Springer International Publishing

Link

http://link.springer.com/content/pdf/10.1007/978-3-030-43408-3_3

Reference19 articles.

1. Bauer, U., Lesnick, M.: Induced matchings and the algebraic stability of persistence barcodes. Journal of Computational Geometry 6(2), 162–191 (2015). http://dx.doi.org/10.20382/jocg.v6i2a9

2. Bjerkevik, H.B.: Stability of higher-dimensional interval decomposable persistence modules (2016). http://arxiv.org/abs/1609.02086 . Preprint

3. Botnan, M.B., Lesnick, M.: Algebraic stability of zigzag persistence modules. Algebraic & Geometric Topology 18, 3133–3204 (2018). https://msp.org/agt/2018/18-6/p01.xhtml

4. Bubenik, P., Scott, J.A.: Categorification of persistent homology. Discrete & Computational Geometry 51(3), 600–627 (2014). https://doi.org/10.1007/s00454-014-9573-x

5. Bubenik, P., de Silva, V., Scott, J.: Metrics for generalized persistence modules. Foundations of Computational Mathematics 15(6), 1501–1531 (2015). https://doi.org/10.1007/s10208-014-9229-5

Cited by 3 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Ladder decomposition for morphisms of persistence modules;Journal of Applied and Computational Topology;2024-05-10

2. Persistent extensions and analogous bars: data-induced relations between persistence barcodes;Journal of Applied and Computational Topology;2023-04-15

3. Decorated merge trees for persistent topology;Journal of Applied and Computational Topology;2022-03-26