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Mathematical models and deep learning for predicting the number of individuals reported to be infected with SARS-CoV-2
We introduce a novel methodology for predicting the time evolution of the number of individuals in a given country reported to be infected with SARS-CoV-2. This methodology, which is based on the synergy of explicit mathematical formulae and deep learning networks, yields algorithms whose input is o...
Autores principales: | , , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
The Royal Society
2020
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7482569/ https://www.ncbi.nlm.nih.gov/pubmed/32752997 http://dx.doi.org/10.1098/rsif.2020.0494 |
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author | Fokas, A. S. Dikaios, N. Kastis, G. A. |
author_facet | Fokas, A. S. Dikaios, N. Kastis, G. A. |
author_sort | Fokas, A. S. |
collection | PubMed |
description | We introduce a novel methodology for predicting the time evolution of the number of individuals in a given country reported to be infected with SARS-CoV-2. This methodology, which is based on the synergy of explicit mathematical formulae and deep learning networks, yields algorithms whose input is only the existing data in the given country of the accumulative number of individuals who are reported to be infected. The analytical formulae involve several constant parameters that were determined from the available data using an error-minimizing algorithm. The same data were also used for the training of a bidirectional long short-term memory network. We applied the above methodology to the epidemics in Italy, Spain, France, Germany, USA and Sweden. The significance of these results for evaluating the impact of easing the lockdown measures is discussed. |
format | Online Article Text |
id | pubmed-7482569 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2020 |
publisher | The Royal Society |
record_format | MEDLINE/PubMed |
spelling | pubmed-74825692020-09-18 Mathematical models and deep learning for predicting the number of individuals reported to be infected with SARS-CoV-2 Fokas, A. S. Dikaios, N. Kastis, G. A. J R Soc Interface Life Sciences–Mathematics interface We introduce a novel methodology for predicting the time evolution of the number of individuals in a given country reported to be infected with SARS-CoV-2. This methodology, which is based on the synergy of explicit mathematical formulae and deep learning networks, yields algorithms whose input is only the existing data in the given country of the accumulative number of individuals who are reported to be infected. The analytical formulae involve several constant parameters that were determined from the available data using an error-minimizing algorithm. The same data were also used for the training of a bidirectional long short-term memory network. We applied the above methodology to the epidemics in Italy, Spain, France, Germany, USA and Sweden. The significance of these results for evaluating the impact of easing the lockdown measures is discussed. The Royal Society 2020-08 2020-08-05 /pmc/articles/PMC7482569/ /pubmed/32752997 http://dx.doi.org/10.1098/rsif.2020.0494 Text en © 2020 The Authors. http://creativecommons.org/licenses/by/4.0/ http://creativecommons.org/licenses/by/4.0/http://creativecommons.org/licenses/by/4.0/Published by the Royal Society under the terms of the Creative Commons Attribution License http://creativecommons.org/licenses/by/4.0/, which permits unrestricted use, provided the original author and source are credited. |
spellingShingle | Life Sciences–Mathematics interface Fokas, A. S. Dikaios, N. Kastis, G. A. Mathematical models and deep learning for predicting the number of individuals reported to be infected with SARS-CoV-2 |
title | Mathematical models and deep learning for predicting the number of individuals reported to be infected with SARS-CoV-2 |
title_full | Mathematical models and deep learning for predicting the number of individuals reported to be infected with SARS-CoV-2 |
title_fullStr | Mathematical models and deep learning for predicting the number of individuals reported to be infected with SARS-CoV-2 |
title_full_unstemmed | Mathematical models and deep learning for predicting the number of individuals reported to be infected with SARS-CoV-2 |
title_short | Mathematical models and deep learning for predicting the number of individuals reported to be infected with SARS-CoV-2 |
title_sort | mathematical models and deep learning for predicting the number of individuals reported to be infected with sars-cov-2 |
topic | Life Sciences–Mathematics interface |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7482569/ https://www.ncbi.nlm.nih.gov/pubmed/32752997 http://dx.doi.org/10.1098/rsif.2020.0494 |
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