Lipschitz functions have Lp -stable persistence
Publication
, Journal Article
Cohen-Steiner, D; Edelsbrunner, H; Harer, J; Mileyko, Y
Published in: Foundations of Computational Mathematics
April 1, 2010
We prove two stability results for Lipschitz functions on triangulable, compact metric spaces and consider applications of both to problems in systems biology. Given two functions, the first result is formulated in terms of the Wasserstein distance between their persistence diagrams and the second in terms of their total persistence. © 2010 SFoCM.
Duke Scholars
Published In
Foundations of Computational Mathematics
DOI
EISSN
1615-3383
ISSN
1615-3375
Publication Date
April 1, 2010
Volume
10
Issue
2
Start / End Page
127 / 139
Related Subject Headings
- Numerical & Computational Mathematics
- 49 Mathematical sciences
- 46 Information and computing sciences
- 08 Information and Computing Sciences
- 01 Mathematical Sciences
Citation
APA
Chicago
ICMJE
MLA
NLM
Cohen-Steiner, D., Edelsbrunner, H., Harer, J., & Mileyko, Y. (2010). Lipschitz functions have Lp -stable persistence. Foundations of Computational Mathematics, 10(2), 127–139. https://doi.org/10.1007/s10208-010-9060-6
Cohen-Steiner, D., H. Edelsbrunner, J. Harer, and Y. Mileyko. “Lipschitz functions have Lp -stable persistence.” Foundations of Computational Mathematics 10, no. 2 (April 1, 2010): 127–39. https://doi.org/10.1007/s10208-010-9060-6.
Cohen-Steiner D, Edelsbrunner H, Harer J, Mileyko Y. Lipschitz functions have Lp -stable persistence. Foundations of Computational Mathematics. 2010 Apr 1;10(2):127–39.
Cohen-Steiner, D., et al. “Lipschitz functions have Lp -stable persistence.” Foundations of Computational Mathematics, vol. 10, no. 2, Apr. 2010, pp. 127–39. Scopus, doi:10.1007/s10208-010-9060-6.
Cohen-Steiner D, Edelsbrunner H, Harer J, Mileyko Y. Lipschitz functions have Lp -stable persistence. Foundations of Computational Mathematics. 2010 Apr 1;10(2):127–139.
Published In
Foundations of Computational Mathematics
DOI
EISSN
1615-3383
ISSN
1615-3375
Publication Date
April 1, 2010
Volume
10
Issue
2
Start / End Page
127 / 139
Related Subject Headings
- Numerical & Computational Mathematics
- 49 Mathematical sciences
- 46 Information and computing sciences
- 08 Information and Computing Sciences
- 01 Mathematical Sciences