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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...

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Detalles Bibliográficos
Autores principales: Fokas, A. S., Dikaios, N., Kastis, G. A.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: The Royal Society 2020
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.
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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.
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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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