Estimates for information quantity in probability model in image encoding
Upper bounds are obtained for the amount of information in functional classes with initial uncertainty. These classes are similar to the classes of images with bounded variance. We use the probability model of the theory of information complexity. Unlike the case of classes $KH_{0}^{ α}$ , it turns...
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| Date: | 1995 |
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| Main Authors: | , |
| Format: | Article |
| Language: | Russian English |
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Institute of Mathematics, NAS of Ukraine
1995
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/5461 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860511690107387904 |
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| author | Tyrygin, I. Ya. Тырыгин, И. Я. Тырыгин, И. Я. |
| author_facet | Tyrygin, I. Ya. Тырыгин, И. Я. Тырыгин, И. Я. |
| author_sort | Tyrygin, I. Ya. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-19T08:59:28Z |
| description | Upper bounds are obtained for the amount of information in functional classes with initial uncertainty. These classes are similar to the classes of images with bounded variance. We use the probability model of the theory of information complexity. Unlike the case of classes $KH_{0}^{ α}$ , it turns out that, in this case, the method of differential pulse-code modulation does not give any advantage as compared to the deterministic case. |
| first_indexed | 2026-03-24T03:16:54Z |
| format | Article |
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| id | umjimathkievua-article-5461 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | rus English |
| last_indexed | 2026-03-24T03:16:54Z |
| publishDate | 1995 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/e5/5cf8c2d9c490c7ddac4ef5ab368a39e5.pdf |
| spelling | umjimathkievua-article-54612020-03-19T08:59:28Z Estimates for information quantity in probability model in image encoding Оценки количества информации в вероятностной модели кодирования изображений Tyrygin, I. Ya. Тырыгин, И. Я. Тырыгин, И. Я. Upper bounds are obtained for the amount of information in functional classes with initial uncertainty. These classes are similar to the classes of images with bounded variance. We use the probability model of the theory of information complexity. Unlike the case of classes $KH_{0}^{ α}$ , it turns out that, in this case, the method of differential pulse-code modulation does not give any advantage as compared to the deterministic case. Одержані оцінки зверху на кількість інформації у функціональних класах з первісною невизначеністю, аналогічних класам зображень з обмеженою дисперсією. Використовується ймовірнісна модель теорії інформаційної складності. На відміну від класів $KH_{0}^{ α}$, виявляється, що за даних умов метод типу диференціальної імпульсно-кодової модуляції не дає виграшу відносно детерміністського випадку. Institute of Mathematics, NAS of Ukraine 1995-04-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5461 Ukrains’kyi Matematychnyi Zhurnal; Vol. 47 No. 4 (1995); 573-576 Український математичний журнал; Том 47 № 4 (1995); 573-576 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/5461/7611 https://umj.imath.kiev.ua/index.php/umj/article/view/5461/7612 Copyright (c) 1995 Tyrygin I. Ya. |
| spellingShingle | Tyrygin, I. Ya. Тырыгин, И. Я. Тырыгин, И. Я. Estimates for information quantity in probability model in image encoding |
| title | Estimates for information quantity in probability model in image encoding |
| title_alt | Оценки количества информации в вероятностной модели кодирования
изображений |
| title_full | Estimates for information quantity in probability model in image encoding |
| title_fullStr | Estimates for information quantity in probability model in image encoding |
| title_full_unstemmed | Estimates for information quantity in probability model in image encoding |
| title_short | Estimates for information quantity in probability model in image encoding |
| title_sort | estimates for information quantity in probability model in image encoding |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/5461 |
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