Time Series Analysis and Forecasting of COVID-19 Cases Using LSTM and ARIMA Models
Authors: Arko Barman
AI-generated Key Points
- The study focuses on Time Series Analysis and Forecasting of COVID-19 Cases using LSTM and ARIMA models.
- Accurate prediction of country-wise COVID-19 cases is crucial for aiding policymakers and healthcare providers in preparing for the future.
- Performance evaluation of LSTM and ARIMA models was conducted to predict confirmed COVID-19 cases.
- Daily cumulative case data was used to generate 1-day, 3-day, and 5-day forecasts with various LSTM models and ARIMA.
- Two innovative k-period performance metrics - kMAPE and kMdSA - were introduced to evaluate accuracy over multiple days.
- Results showed low prediction errors for both LSTM models and ARIMA, with slight underestimation by LSTMs and slight overestimation by ARIMA in their forecasts.
- While ARIMA required longer sequences for accurate predictions, LSTMs could perform well even with smaller sequence sizes as small as 3 but needed a larger number of training samples for optimal performance.
- The development of k-period performance metrics proposed in this study is expected to be beneficial for evaluating time series models' performance accurately over multiple periods.
- Comparison between LSTM models and ARIMA revealed their value as tools for time series analysis and forecasting of COVID-19 cases.
- The detailed analysis presented provides valuable insights into the capabilities of these models in predicting case numbers accurately over short-term and long-term periods.
Abstract: Coronavirus disease 2019 (COVID-19) is a global public health crisis that has been declared a pandemic by World Health Organization. Forecasting country-wise COVID-19 cases is necessary to help policymakers and healthcare providers prepare for the future. This study explores the performance of several Long Short-Term Memory (LSTM) models and Auto-Regressive Integrated Moving Average (ARIMA) model in forecasting the number of confirmed COVID-19 cases. Time series of daily cumulative COVID-19 cases were used for generating 1-day, 3-day, and 5-day forecasts using several LSTM models and ARIMA. Two novel k-period performance metrics - k-day Mean Absolute Percentage Error (kMAPE) and k-day Median Symmetric Accuracy (kMdSA) - were developed for evaluating the performance of the models in forecasting time series values for multiple days. Errors in prediction using kMAPE and kMdSA for LSTM models were both as low as 0.05%, while those for ARIMA were 0.07% and 0.06% respectively. LSTM models slightly underestimated while ARIMA slightly overestimated the numbers in the forecasts. The performance of LSTM models is comparable to ARIMA in forecasting COVID-19 cases. While ARIMA requires longer sequences, LSTMs can perform reasonably well with sequence sizes as small as 3. However, LSTMs require a large number of training samples. Further, the development of k-period performance metrics proposed is likely to be useful for performance evaluation of time series models in predicting multiple periods. Based on the k-period performance metrics proposed, both LSTMs and ARIMA are useful for time series analysis and forecasting for COVID-19.
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