Mathematics · 2022 · 15 citations · 23 references
ComputingComputer ScienceInfectious DiseasesForecastingMachine LearningTime Series AnalysisDisease ForecastingEpidemic ForecastingForecasting MethodsLong-term ForecastingPredictive ModelingTime Series ForecastingConvolutional Neural NetworksDisease Forecasting ModelsExponential RegressionForecasting Disease SpreadLong Short-term Memory NetworksMachine Learning Forecasting ModelsMathematical Modeling Of DiseaseRecurrent Neural Network Forecasting
To predict the spread of the new coronavirus infection COVID-19, the critical values of spread indicators have been determined for deciding on the introduction of restrictive measures using the city of Moscow as an example. A model was developed using classical methods of mathematical modeling based on exponential regression, the accuracy of the forecast was estimated, and the shortcomings of mathematical methods for predicting the spread of infection for more than two weeks. As a solution to the problem of the accuracy of long-term forecasts for more than two weeks, two models based on machine learning methods are proposed: a recurrent neural network with two layers of long short-term memory (LSTM) blocks and a 1-D convolutional neural network with a description of the choice of an optimization algorithm. The forecast accuracy of ML models was evaluated in comparison with the exponential regression model and one another using the example of data on the number of COVID-19 cases in the city of Moscow.
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Sepp Hochreiter, Jürgen Schmidhuber · Neural Computation · 1997 · 98.1K citations
The Mathematics of Infectious Diseases
Herbert W. Hethcote · SIAM Review · 2000 · 6.9K citations
Superspreading and the effect of individual variation on disease emergence
James O. Lloyd‐Smith, Sebastian J. Schreiber, Peter Ekkehard Kopp et al. · Nature · 2005 · 2.7K citations · Full text