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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| Datum: | 2018 |
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| Format: | Artikel |
| Sprache: | Englisch |
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Lugansk National Taras Shevchenko University
2018
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| Online Zugang: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/225 |
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| Назва журналу: | Algebra and Discrete Mathematics |
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Algebra and Discrete Mathematics| _version_ | 1856543145589735424 |
|---|---|
| author | Zabka, Matthew John |
| author_facet | Zabka, Matthew John |
| author_sort | Zabka, Matthew John |
| baseUrl_str | |
| collection | OJS |
| datestamp_date | 2018-07-24T22:56:15Z |
| 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. |
| first_indexed | 2026-02-08T07:58:34Z |
| format | Article |
| id | admjournalluguniveduua-article-225 |
| institution | Algebra and Discrete Mathematics |
| language | English |
| last_indexed | 2026-02-08T07:58:34Z |
| publishDate | 2018 |
| publisher | Lugansk National Taras Shevchenko University |
| record_format | ojs |
| spelling | admjournalluguniveduua-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 |
| spellingShingle | random cohomology operations topological data analysis Bockstein operation 08 55 Zabka, Matthew John A random Bockstein operator |
| title | A random Bockstein operator |
| title_full | A random Bockstein operator |
| title_fullStr | A random Bockstein operator |
| title_full_unstemmed | A random Bockstein operator |
| title_short | A random Bockstein operator |
| title_sort | random bockstein operator |
| topic | random cohomology operations topological data analysis Bockstein operation 08 55 |
| topic_facet | random cohomology operations topological data analysis Bockstein operation 08 55 |
| url | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/225 |
| work_keys_str_mv | AT zabkamatthewjohn arandombocksteinoperator AT zabkamatthewjohn randombocksteinoperator |