|
Algebra and Discrete Mathematics, 2018, Volume 25, Issue 2, Pages 311–321
(Mi adm662)
|
|
|
|
This article is cited in 1 scientific paper (total in 1 paper)
RESEARCH ARTICLE
A random Bockstein operator
Matthew Zabka Department of Mathematics and Computer Science, SM 178, Southwest Minnesota State University, 1501 State Street, Marshall, MN 56258, USA
Abstract:
As more of topology's tools become popular in analyzing high-dimensional data sets, the goal of understanding the underlying probabilistic properties of these tools becomes even more important. While much attention has been given to understanding the probabilistic properties of methods that use homological groups in topological data analysis, the probabilistic properties of methods that employ cohomology operations remain unstudied. In this paper, we investigate the Bockstein operator with randomness in a strictly algebraic setting.
Keywords:
random cohomology operations, topological data analysis, Bockstein operation.
Received: 25.05.2016 Revised: 24.06.2017
Citation:
Matthew Zabka, “A random Bockstein operator”, Algebra Discrete Math., 25:2 (2018), 311–321
Linking options:
https://www.mathnet.ru/eng/adm662 https://www.mathnet.ru/eng/adm/v25/i2/p311
|
Statistics & downloads: |
Abstract page: | 101 | Full-text PDF : | 50 | References: | 22 |
|