A Novel Computational Instrument Based on a Universal Mixture Density Network with a Gaussian Mixture Model as a Backbone for Predicting COVID-19 Variants’ Distributions

Yas Al-Hadeethi, Intesar F. El Ramley (), Hiba Mohammed, Nada M. Bedaiwi and Abeer Z. Barasheed
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Yas Al-Hadeethi: Physics Department, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia
Intesar F. El Ramley: Physics Department, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia
Hiba Mohammed: Fondazione Novara Sviluppo, 28100 Novara, Italy
Nada M. Bedaiwi: Physics Department, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia
Abeer Z. Barasheed: Physics Department, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia

Mathematics, 2024, vol. 12, issue 8, 1-24

Abstract: Various published COVID-19 models have been used in epidemiological studies and healthcare planning to model and predict the spread of the disease and appropriately realign health measures and priorities given the resource limitations in the field of healthcare. However, a significant issue arises when these models need help identifying the distribution of the constituent variants of COVID-19 infections. The emergence of such a challenge means that, given limited healthcare resources, health planning would be ineffective and cost lives. This work presents a universal neural network (NN) computational instrument for predicting the mainstream symptomatic infection rate of COVID-19 and models of the distribution of its associated variants. The NN is based on a mixture density network (MDN) with a Gaussian mixture model (GMM) object as a backbone. Twelve use cases were used to demonstrate the validity and reliability of the proposed MDN. The use cases included COVID-19 data for Canada and Saudi Arabia, two date ranges (300 and 500 days), two input data modes, and three activation functions, each with different implementations of the batch size and epoch value. This array of scenarios provided an opportunity to investigate the impacts of epistemic uncertainty (EU) and aleatoric uncertainty (AU) on the prediction model’s fitting. The model accuracy readings were in the high nineties based on a tolerance margin of 0.0125. The primary outcome of this work indicates that this easy-to-use universal MDN helps provide reliable predictions of COVID-19 variant distributions and the corresponding synthesized profile of the mainstream infection rate.

Keywords: COVID-19; SEIR; MDN; GMM; epistemic uncertainty; aleatoric uncertainty; inflexible model; model fitting (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
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