A Bayesian-Deep Learning Model for Estimating COVID-19 Evolution in Spain
This work proposes a semi-parametric approach to estimate the evolution of COVID-19 (SARS-CoV-2) in Spain. Considering the sequences of 14-day cumulative incidence of all Spanish regions, it combines modern Deep Learning (DL) techniques for analyzing sequences with the usual Bayesian Poisson-Gamma m...
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2021
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oai:doaj.org-article:dc424874f2aa4618a1bb441a35bb266b2021-11-25T18:17:13ZA Bayesian-Deep Learning Model for Estimating COVID-19 Evolution in Spain10.3390/math92229212227-7390https://doaj.org/article/dc424874f2aa4618a1bb441a35bb266b2021-11-01T00:00:00Zhttps://www.mdpi.com/2227-7390/9/22/2921https://doaj.org/toc/2227-7390This work proposes a semi-parametric approach to estimate the evolution of COVID-19 (SARS-CoV-2) in Spain. Considering the sequences of 14-day cumulative incidence of all Spanish regions, it combines modern Deep Learning (DL) techniques for analyzing sequences with the usual Bayesian Poisson-Gamma model for counts. The DL model provides a suitable description of the observed time series of counts, but it cannot give a reliable uncertainty quantification. The role of expert elicitation of the expected number of counts and its reliability is DL predictions’ role in the proposed modelling approach. Finally, the posterior predictive distribution of counts is obtained in a standard Bayesian analysis using the well known Poisson-Gamma model. The model allows to predict the future evolution of the sequences on all regions or estimates the consequences of eventual scenarios.Stefano CabrasMDPI AGarticleapplied Bayesian methodsCOVID-19Deep LearningMultivariate Time SeriesLSTMSARS-CoV-2MathematicsQA1-939ENMathematics, Vol 9, Iss 2921, p 2921 (2021) |
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applied Bayesian methods COVID-19 Deep Learning Multivariate Time Series LSTM SARS-CoV-2 Mathematics QA1-939 |
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applied Bayesian methods COVID-19 Deep Learning Multivariate Time Series LSTM SARS-CoV-2 Mathematics QA1-939 Stefano Cabras A Bayesian-Deep Learning Model for Estimating COVID-19 Evolution in Spain |
description |
This work proposes a semi-parametric approach to estimate the evolution of COVID-19 (SARS-CoV-2) in Spain. Considering the sequences of 14-day cumulative incidence of all Spanish regions, it combines modern Deep Learning (DL) techniques for analyzing sequences with the usual Bayesian Poisson-Gamma model for counts. The DL model provides a suitable description of the observed time series of counts, but it cannot give a reliable uncertainty quantification. The role of expert elicitation of the expected number of counts and its reliability is DL predictions’ role in the proposed modelling approach. Finally, the posterior predictive distribution of counts is obtained in a standard Bayesian analysis using the well known Poisson-Gamma model. The model allows to predict the future evolution of the sequences on all regions or estimates the consequences of eventual scenarios. |
format |
article |
author |
Stefano Cabras |
author_facet |
Stefano Cabras |
author_sort |
Stefano Cabras |
title |
A Bayesian-Deep Learning Model for Estimating COVID-19 Evolution in Spain |
title_short |
A Bayesian-Deep Learning Model for Estimating COVID-19 Evolution in Spain |
title_full |
A Bayesian-Deep Learning Model for Estimating COVID-19 Evolution in Spain |
title_fullStr |
A Bayesian-Deep Learning Model for Estimating COVID-19 Evolution in Spain |
title_full_unstemmed |
A Bayesian-Deep Learning Model for Estimating COVID-19 Evolution in Spain |
title_sort |
bayesian-deep learning model for estimating covid-19 evolution in spain |
publisher |
MDPI AG |
publishDate |
2021 |
url |
https://doaj.org/article/dc424874f2aa4618a1bb441a35bb266b |
work_keys_str_mv |
AT stefanocabras abayesiandeeplearningmodelforestimatingcovid19evolutioninspain AT stefanocabras bayesiandeeplearningmodelforestimatingcovid19evolutioninspain |
_version_ |
1718411410250137600 |