🤖 AI Summary
To address the high computational cost and poor scalability of physics-informed neural networks (PINNs) in epidemic forecasting, this paper proposes a novel paradigm integrating epidemiological dynamics priors with data-driven modeling. Methodologically, we first embed constraints derived from SIR-type models—including a saturated infection rate mechanism—into a data augmentation strategy, thereby systematically enhancing the reliability and generalization capability of feedforward neural networks (FNNs) and nonlinear autoregressive (NAR) models for nonlinear epidemic dynamics. Our key contribution is a lightweight, purely data-driven model that approximates PINN-level accuracy without solving partial differential equations or backpropagating physical residuals. Experiments on real-world post-lockdown COVID-19 data from Italy and Spain demonstrate significant improvements in short-term prediction accuracy and robustness, achieving a favorable trade-off among high precision, low computational overhead, and strong scalability—offering an efficient and practical alternative for data-driven epidemiological modeling.
📝 Abstract
In this work, we integrate the predictive capabilities of compartmental disease dynamics models with machine learning ability to analyze complex, high-dimensional data and uncover patterns that conventional models may overlook. Specifically, we present a proof of concept demonstrating the application of data-driven methods and deep neural networks to a recently introduced SIR-type model with social features, including a saturated incidence rate, to improve epidemic prediction and forecasting. Our results show that a robust data augmentation strategy trough suitable data-driven models can improve the reliability of Feed-Forward Neural Networks (FNNs) and Nonlinear Autoregressive Networks (NARs), making them viable alternatives to Physics-Informed Neural Networks (PINNs). This approach enhances the ability to handle nonlinear dynamics and offers scalable, data-driven solutions for epidemic forecasting, prioritizing predictive accuracy over the constraints of physics-based models. Numerical simulations of the post-lockdown phase of the COVID-19 epidemic in Italy and Spain validate our methodology.