---
_id: '3849'
abstract:
- lang: eng
text: Using ideas from persistent homology, the robustness of a level set of a real-valued
function is defined in terms of the magnitude of the perturbation necessary to
kill the classes. Prior work has shown that the homology and robustness information
can be read off the extended persistence diagram of the function. This paper extends
these results to a non-uniform error model in which perturbations vary in their
magnitude across the domain.
alternative_title:
- LNCS
author:
- first_name: Paul
full_name: Bendich, Paul
id: 43F6EC54-F248-11E8-B48F-1D18A9856A87
last_name: Bendich
- first_name: Herbert
full_name: Edelsbrunner, Herbert
id: 3FB178DA-F248-11E8-B48F-1D18A9856A87
last_name: Edelsbrunner
orcid: 0000-0002-9823-6833
- first_name: Michael
full_name: Kerber, Michael
id: 36E4574A-F248-11E8-B48F-1D18A9856A87
last_name: Kerber
orcid: 0000-0002-8030-9299
- first_name: Amit
full_name: Patel, Amit
id: 34A254A0-F248-11E8-B48F-1D18A9856A87
last_name: Patel
citation:
ama: 'Bendich P, Edelsbrunner H, Kerber M, Patel A. Persistent homology under non-uniform
error. In: Vol 6281. Springer; 2010:12-23. doi:10.1007/978-3-642-15155-2_2'
apa: 'Bendich, P., Edelsbrunner, H., Kerber, M., & Patel, A. (2010). Persistent
homology under non-uniform error (Vol. 6281, pp. 12–23). Presented at the MFCS:
Mathematical Foundations of Computer Science, Brno, Czech Republic: Springer.
https://doi.org/10.1007/978-3-642-15155-2_2'
chicago: Bendich, Paul, Herbert Edelsbrunner, Michael Kerber, and Amit Patel. “Persistent
Homology under Non-Uniform Error,” 6281:12–23. Springer, 2010. https://doi.org/10.1007/978-3-642-15155-2_2.
ieee: 'P. Bendich, H. Edelsbrunner, M. Kerber, and A. Patel, “Persistent homology
under non-uniform error,” presented at the MFCS: Mathematical Foundations of Computer
Science, Brno, Czech Republic, 2010, vol. 6281, pp. 12–23.'
ista: 'Bendich P, Edelsbrunner H, Kerber M, Patel A. 2010. Persistent homology under
non-uniform error. MFCS: Mathematical Foundations of Computer Science, LNCS, vol.
6281, 12–23.'
mla: Bendich, Paul, et al. Persistent Homology under Non-Uniform Error. Vol.
6281, Springer, 2010, pp. 12–23, doi:10.1007/978-3-642-15155-2_2.
short: P. Bendich, H. Edelsbrunner, M. Kerber, A. Patel, in:, Springer, 2010, pp.
12–23.
conference:
end_date: 2010-08-27
location: Brno, Czech Republic
name: 'MFCS: Mathematical Foundations of Computer Science'
start_date: 2010-08-23
date_created: 2018-12-11T12:05:30Z
date_published: 2010-08-10T00:00:00Z
date_updated: 2021-01-12T07:52:38Z
day: '10'
ddc:
- '000'
department:
- _id: HeEd
doi: 10.1007/978-3-642-15155-2_2
file:
- access_level: open_access
checksum: af61e1c2bb42f3d556179d4692caeb1b
content_type: application/pdf
creator: system
date_created: 2018-12-12T10:13:13Z
date_updated: 2020-07-14T12:46:17Z
file_id: '4994'
file_name: IST-2016-537-v1+1_2010-P-05-NonuniformError.pdf
file_size: 142357
relation: main_file
file_date_updated: 2020-07-14T12:46:17Z
has_accepted_license: '1'
intvolume: ' 6281'
language:
- iso: eng
month: '08'
oa: 1
oa_version: Submitted Version
page: 12 - 23
publication_status: published
publisher: Springer
publist_id: '2333'
pubrep_id: '537'
quality_controlled: '1'
scopus_import: 1
status: public
title: Persistent homology under non-uniform error
type: conference
user_id: 4435EBFC-F248-11E8-B48F-1D18A9856A87
volume: 6281
year: '2010'
...