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Paper · arXiv

Physical knowledge on historical data matters more than enforcing physical constraints on the forecast

Time series forecasting has seen signicant advancements with the emergence of new deep learning models. However, forecasting time series in applications involving physical processes remains a major challenge. Despite the apparition of Physics Informed Neural Networks (PINN), recent models do not estimate unobservable intermediate physical variables, which are important for domain experts to understand the target behavior. To this end, we propose a Physics Informed Recurrent Neural Network (PIRNN) which predicts, along the target, unobservable variables on both historic data and forecast target. This approach enhances the model robustness and results interpretation using domain knowledge. ...

AuthorsEtienne Lehembre, Pascal Audigane, Vincent Nguyen et al.
Primary categorycs.AI
Published17 September 2026
Last updated at source17 September 2026
cs.AI
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