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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 homo...
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| Language: | English |
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Інститут прикладної математики і механіки НАН України
2018
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| Series: | Algebra and Discrete Mathematics |
| Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/188366 |
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irk-123456789-1883662023-02-26T01:26:56Z A random Bockstein operator Zabka, M.J. 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. 2018 Article A random Bockstein operator / M.J. Zabka // Algebra and Discrete Mathematics. — 2018. — Vol. 25, № 2. — С. 311–321. — Бібліогр.: 5 назв. — англ. 1726-3255 2010 MSC: 08, 55. http://dspace.nbuv.gov.ua/handle/123456789/188366 en Algebra and Discrete Mathematics Інститут прикладної математики і механіки НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
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| language |
English |
| 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. |
| format |
Article |
| author |
Zabka, M.J. |
| spellingShingle |
Zabka, M.J. A random Bockstein operator Algebra and Discrete Mathematics |
| author_facet |
Zabka, M.J. |
| author_sort |
Zabka, M.J. |
| 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 |
| publisher |
Інститут прикладної математики і механіки НАН України |
| publishDate |
2018 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/188366 |
| citation_txt |
A random Bockstein operator / M.J. Zabka // Algebra and Discrete Mathematics. — 2018. — Vol. 25, № 2. — С. 311–321. — Бібліогр.: 5 назв. — англ. |
| series |
Algebra and Discrete Mathematics |
| work_keys_str_mv |
AT zabkamj arandombocksteinoperator AT zabkamj randombocksteinoperator |
| first_indexed |
2023-10-18T23:08:12Z |
| last_indexed |
2023-10-18T23:08:12Z |
| _version_ |
1796157341926686720 |