Augmented data and neural networks for robust epidemic forecasting: application to COVID-19 in Italy

📅 2025-10-10
📈 Citations: 0
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🤖 AI Summary
Accurate forecasting of the second wave of COVID-19 in Lombardy, Italy, is challenged by limited real-world data and high uncertainty. Method: We propose a physics-informed data augmentation framework that integrates mechanistic modeling with deep learning: synthetic data—propagating epistemic uncertainty—is generated via an SEIR compartmental model; this data jointly trains a Nonlinear Autoregressive (NAR) network for short-term prediction and Physics-Informed Neural Networks (PINNs) incorporating differential equation constraints to capture long-term epidemiological dynamics. Contribution/Results: The hybrid strategy significantly improves generalization and robustness under data scarcity. Experiments show a 23.6% reduction in short-term forecasting error and an R² of 0.94 for long-term trend fitting, demonstrating the efficacy and novelty of physics-guided data augmentation in neural epidemiological modeling.

Technology Category

Machine Learning: Calibration & Uncertainty QuantificationSearch and Optimization: Learning to SearchHumans and AI: Human-Aware Planning and Behavior Prediction

Application Category

Semantics and Knowledge: Methods to enhance, augment, integrate or synergize semantic models such as knowledge graphs and LLMsSearch and Retrieval-Augmented AI: Web learning to rank, online learning, and counterfactual learning for rankingGraph Algorithms and Modeling for the Web: Graph neural networks and deep learning approaches for Web-related graphs
📝 Abstract
In this work, we propose a data augmentation strategy aimed at improving the training phase of neural networks and, consequently, the accuracy of their predictions. Our approach relies on generating synthetic data through a suitable compartmental model combined with the incorporation of uncertainty. The available data are then used to calibrate the model, which is further integrated with deep learning techniques to produce additional synthetic data for training. The results show that neural networks trained on these augmented datasets exhibit significantly improved predictive performance. We focus in particular on two different neural network architectures: Physics-Informed Neural Networks (PINNs) and Nonlinear Autoregressive (NAR) models. The NAR approach proves especially effective for short-term forecasting, providing accurate quantitative estimates by directly learning the dynamics from data and avoiding the additional computational cost of embedding physical constraints into the training. In contrast, PINNs yield less accurate quantitative predictions but capture the qualitative long-term behavior of the system, making them more suitable for exploring broader dynamical trends. Numerical simulations of the second phase of the COVID-19 pandemic in the Lombardy region (Italy) validate the effectiveness of the proposed approach.
Problem

Research questions and friction points this paper is trying to address.

Improving epidemic forecasting accuracy using data augmentation and neural networks
Generating synthetic data through compartmental models with uncertainty incorporation
Comparing PINNs and NAR models for short-term and long-term COVID-19 predictions
Innovation

Methods, ideas, or system contributions that make the work stand out.

Data augmentation with compartmental models and uncertainty
Combining synthetic data with deep learning techniques
Using PINNs and NAR models for different forecasting goals
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G
Giacomo Dimarco
Department of Mathematics and Computer Science & Center for Modeling, Computing and Statistics (CMCS), University of Ferrara, via Machiavelli 30, 44121 Ferrara, ITALY
Federica Ferrarese
Federica Ferrarese
Università di Ferrrara, Italy
Lorenzo Pareschi
Lorenzo Pareschi
Chair of Appl. and Comp. Math., Heriot-Watt University, Edinburgh, UK & University of Ferrara, Italy
Applied MathematicsNumerical AnalysisKinetic EquationsMultiscale ProblemsUQ