To the mathematical theory of representation of information in neural nets
We study irreducible nonorthogonal resolutions of the identity. The results obtained show that, in contrast to traditional requirements of “independent measurements” type, the noncommutative approach gives a more precise description of information systems.
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| Datum: | 1995 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Russisch Englisch |
| Veröffentlicht: |
Institute of Mathematics, NAS of Ukraine
1995
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/5565 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860511797677654016 |
|---|---|
| author | Zaritskii, A. F. Зарицкий, А. Ф. Зарицкий, А. Ф. |
| author_facet | Zaritskii, A. F. Зарицкий, А. Ф. Зарицкий, А. Ф. |
| author_sort | Zaritskii, A. F. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-19T09:13:33Z |
| description | We study irreducible nonorthogonal resolutions of the identity. The results obtained show that, in contrast to traditional requirements of “independent measurements” type, the noncommutative approach gives a more precise description of information systems. |
| first_indexed | 2026-03-24T03:18:36Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-5565 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:18:36Z |
| publishDate | 1995 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/75/d533c676d99e9dc4cde7f8e79fac0275.pdf |
| spelling | umjimathkievua-article-55652020-03-19T09:13:33Z To the mathematical theory of representation of information in neural nets К математической теории отображения информации в нейронных сетях Zaritskii, A. F. Зарицкий, А. Ф. Зарицкий, А. Ф. We study irreducible nonorthogonal resolutions of the identity. The results obtained show that, in contrast to traditional requirements of “independent measurements” type, the noncommutative approach gives a more precise description of information systems. Вивчаються незвідні неортогональні розклади одиниці. Наведені результати показують, що на відміну від традиційних обмежень типу „незалежні виміри” врахування некомутативності важливе при опису інформаційних систем. Institute of Mathematics, NAS of Ukraine 1995-12-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5565 Ukrains’kyi Matematychnyi Zhurnal; Vol. 47 No. 12 (1995); 1706–1707 Український математичний журнал; Том 47 № 12 (1995); 1706–1707 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/5565/7818 https://umj.imath.kiev.ua/index.php/umj/article/view/5565/7819 Copyright (c) 1995 Zaritskii A. F. |
| spellingShingle | Zaritskii, A. F. Зарицкий, А. Ф. Зарицкий, А. Ф. To the mathematical theory of representation of information in neural nets |
| title | To the mathematical theory of representation of information in neural nets |
| title_alt | К математической теории отображения информации в нейронных сетях |
| title_full | To the mathematical theory of representation of information in neural nets |
| title_fullStr | To the mathematical theory of representation of information in neural nets |
| title_full_unstemmed | To the mathematical theory of representation of information in neural nets |
| title_short | To the mathematical theory of representation of information in neural nets |
| title_sort | to the mathematical theory of representation of information in neural nets |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5565 |
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