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Epidemiology-Aware Neural ODE with Continuous Disease Transmission Graph

Guancheng Wan, Zewen Liu, Xiaojun Shan, Max S.Y. Lau, B. Aditya Prakash, Wei Jin

Abstract

Epidemiological forecasting is crucial for public health decision-making, yet existing approaches often struggle with the complex spatial-temporal dependencies inherent in disease transmission processes. Traditional compartmental models, while interpretable, lack the flexibility to capture real-world complexities, whereas deep learning methods often ignore the underlying epidemiological principles. To address these limitations, we propose EARTH (Epidemiology-Aware Neural ODE with Continuous Disease Transmission Graph), a novel framework that seamlessly integrates epidemiological domain knowledge with neural ordinary differential equations (ODEs). Our approach models disease transmission as a continuous dynamical system over a learnable graph structure, where nodes represent geographical regions and edges capture disease transmission relationships. The key innovation lies in our epidemiology-aware neural ODE formulation, which incorporates domain-specific constraints and inductive biases while maintaining the flexibility of deep learning. We introduce a continuous disease transmission graph that adaptively learns spatial dependencies and temporal dynamics simultaneously. Extensive experiments on real-world epidemiological datasets demonstrate that EARTH significantly outperforms state-of-the-art methods in both short-term and long-term forecasting tasks, while providing interpretable insights into disease transmission patterns.

Citation

@inproceedings{Wan_EpiODE_ICML25,
  title={Epidemiology-Aware Neural ODE with Continuous Disease Transmission Graph},
  author={Wan, Guancheng and Liu, Zewen and Shan, Xiaojun and Lau, Max S.Y. and Prakash, B. Aditya and Jin, Wei},
  booktitle={Forty-second International Conference on Machine Learning},
  year={2025}
}

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