A random Bockstein operator

A random Bockstein operator

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...

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Bibliographic Details
Date:2018
Main Author: Zabka, Matthew John
Format: Article
Language:English
Published: Lugansk National Taras Shevchenko University 2018
Subjects:
random cohomology operations
topological data analysis
Bockstein operation
08
55
Online Access:https://admjournal.luguniv.edu.ua/index.php/adm/article/view/225
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Journal Title:Algebra and Discrete Mathematics

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Algebra and Discrete Mathematics
id oai:ojs.admjournal.luguniv.edu.ua:article-225
record_format ojs
spelling oai:ojs.admjournal.luguniv.edu.ua:article-2252018-07-24T22:56:15Z A random Bockstein operator Zabka, Matthew John random cohomology operations, topological data analysis, Bockstein operation 08, 55 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. Lugansk National Taras Shevchenko University 2018-07-25 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/225 Algebra and Discrete Mathematics; Vol 25, No 2 (2018) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/225/pdf Copyright (c) 2018 Algebra and Discrete Mathematics
institution Algebra and Discrete Mathematics
baseUrl_str
datestamp_date 2018-07-24T22:56:15Z
collection OJS
language English
topic random cohomology operations
topological data analysis
Bockstein operation
08
55
spellingShingle random cohomology operations
topological data analysis
Bockstein operation
08
55
Zabka, Matthew John
A random Bockstein operator
topic_facet random cohomology operations
topological data analysis
Bockstein operation
08
55
format Article
author Zabka, Matthew John
author_facet Zabka, Matthew John
author_sort Zabka, Matthew John
title A random Bockstein operator
title_short A random Bockstein operator
title_full A random Bockstein operator
title_fullStr A random Bockstein operator
title_full_unstemmed A random Bockstein operator
title_sort random bockstein operator
description 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.
publisher Lugansk National Taras Shevchenko University
publishDate 2018
url https://admjournal.luguniv.edu.ua/index.php/adm/article/view/225
work_keys_str_mv AT zabkamatthewjohn arandombocksteinoperator
AT zabkamatthewjohn randombocksteinoperator
first_indexed 2025-07-17T10:31:10Z
last_indexed 2025-07-17T10:31:10Z
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