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Exploiting the Massey Gap
In this paper, we find new refinements to the Massey inequality, which relates the Shannon and guessing entropies, introducing a new concept: the Massey gap. By shrinking the Massey gap, we improve all previous work without introducing any new parameters, providing closed-form strict refinements, as...
| Autores principales: | , |
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| Formato: | Online Artículo Texto |
| Lenguaje: | English |
| Publicado: |
MDPI
2020
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| Materias: | |
| Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7764172/ https://www.ncbi.nlm.nih.gov/pubmed/33322265 http://dx.doi.org/10.3390/e22121398 |
| _version_ | 1783628193311227904 |
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| author | Tănăsescu, Andrei Popescu, Pantelimon George |
| author_facet | Tănăsescu, Andrei Popescu, Pantelimon George |
| author_sort | Tănăsescu, Andrei |
| collection | PubMed |
| description | In this paper, we find new refinements to the Massey inequality, which relates the Shannon and guessing entropies, introducing a new concept: the Massey gap. By shrinking the Massey gap, we improve all previous work without introducing any new parameters, providing closed-form strict refinements, as well as a numerical procedure improving them even further. |
| format | Online Article Text |
| id | pubmed-7764172 |
| institution | National Center for Biotechnology Information |
| language | English |
| publishDate | 2020 |
| publisher | MDPI |
| record_format | MEDLINE/PubMed |
| spelling | pubmed-77641722021-02-24 Exploiting the Massey Gap Tănăsescu, Andrei Popescu, Pantelimon George Entropy (Basel) Article In this paper, we find new refinements to the Massey inequality, which relates the Shannon and guessing entropies, introducing a new concept: the Massey gap. By shrinking the Massey gap, we improve all previous work without introducing any new parameters, providing closed-form strict refinements, as well as a numerical procedure improving them even further. MDPI 2020-12-11 /pmc/articles/PMC7764172/ /pubmed/33322265 http://dx.doi.org/10.3390/e22121398 Text en © 2020 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/). |
| spellingShingle | Article Tănăsescu, Andrei Popescu, Pantelimon George Exploiting the Massey Gap |
| title | Exploiting the Massey Gap |
| title_full | Exploiting the Massey Gap |
| title_fullStr | Exploiting the Massey Gap |
| title_full_unstemmed | Exploiting the Massey Gap |
| title_short | Exploiting the Massey Gap |
| title_sort | exploiting the massey gap |
| topic | Article |
| url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7764172/ https://www.ncbi.nlm.nih.gov/pubmed/33322265 http://dx.doi.org/10.3390/e22121398 |
| work_keys_str_mv | AT tanasescuandrei exploitingthemasseygap AT popescupantelimongeorge exploitingthemasseygap |