Analysis of mobility based COVID-19 epidemic model using Federated Multitask Learning

M Kumaresan; M Senthil Kumar; Nehal Muthukumar; M Kumaresan; M Senthil Kumar; Nehal Muthukumar

doi:10.3934/mbe.2022466

Mathematical Biosciences and Engineering

2022, Volume 19, Issue 10: 9983-10005. doi: 10.3934/mbe.2022466

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Research article

Analysis of mobility based COVID-19 epidemic model using Federated Multitask Learning

1.
Department of Applied Mathematics and Computational Sciences, PSG College of Technology, Coimbatore 641004, India
2.
Caterpillar Inc. Chennai, India

Academic Editor: Yang Kuang

Received: 24 May 2022 Revised: 24 June 2022 Accepted: 28 June 2022 Published: 13 July 2022

Aggregating a massive amount of disease-related data from heterogeneous devices, a distributed learning framework called Federated Learning(FL) is employed. But, FL suffers in distributing the global model, due to the heterogeneity of local data distributions. To overcome this issue, personalized models can be learned by using Federated multitask learning(FMTL). Due to the heterogeneous data from distributed environment, we propose a personalized model learned by federated multitask learning (FMTL) to predict the updated infection rate of COVID-19 in the USA using a mobility-based SEIR model. Furthermore, using a mobility-based SEIR model with an additional constraint we can analyze the availability of beds. We have used the real-time mobility data sets in various states of the USA during the years 2020 and 2021. We have chosen five states for the study and we observe that there exists a correlation among the number of COVID-19 infected cases even though the rate of spread in each case is different. We have considered each US state as a node in the federated learning environment and a linear regression model is built at each node. Our experimental results show that the root-mean-square percentage error for the actual and prediction of COVID-19 cases is low for Colorado state and high for Minnesota state. Using a mobility-based SEIR simulation model, we conclude that it will take at least 400 days to reach extinction when there is no proper vaccination or social distance.
- Federated Learning,
- epidemic model,
- COVID-19,
- multi-task learning
Citation: M Kumaresan, M Senthil Kumar, Nehal Muthukumar. Analysis of mobility based COVID-19 epidemic model using Federated Multitask Learning[J]. Mathematical Biosciences and Engineering, 2022, 19(10): 9983-10005. doi: 10.3934/mbe.2022466

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Abstract

Aggregating a massive amount of disease-related data from heterogeneous devices, a distributed learning framework called Federated Learning(FL) is employed. But, FL suffers in distributing the global model, due to the heterogeneity of local data distributions. To overcome this issue, personalized models can be learned by using Federated multitask learning(FMTL). Due to the heterogeneous data from distributed environment, we propose a personalized model learned by federated multitask learning (FMTL) to predict the updated infection rate of COVID-19 in the USA using a mobility-based SEIR model. Furthermore, using a mobility-based SEIR model with an additional constraint we can analyze the availability of beds. We have used the real-time mobility data sets in various states of the USA during the years 2020 and 2021. We have chosen five states for the study and we observe that there exists a correlation among the number of COVID-19 infected cases even though the rate of spread in each case is different. We have considered each US state as a node in the federated learning environment and a linear regression model is built at each node. Our experimental results show that the root-mean-square percentage error for the actual and prediction of COVID-19 cases is low for Colorado state and high for Minnesota state. Using a mobility-based SEIR simulation model, we conclude that it will take at least 400 days to reach extinction when there is no proper vaccination or social distance.

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