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Paper · arXiv

Physics-Guided Recurrent State-Space Neural Networks for Multi-Step Prediction

State-space models are traditionally based on physical knowledge, but multi-step predictions from these physical models can be poor due to model inaccuracy. Black-box deep learning has shown promise as an alternative. However, these methods rely on the availability of large datasets and potentially available physical knowledge is neglected. We propose the PG-RSSNN, a physics-guided recurrent state-space neural network that incorporates recurrent structures to enable the use of non-saturating activation functions in multi-step prediction. It mitigates the vanishing gradients and eliminates the risk of numerical divergence in training seen in existing structures that feed back state estimat...

AuthorsRuiyuan Li, Ajay Seth, Manon Kok
Primary categoryeess.SY
Published1 June 2026
Last updated at source1 June 2026
eess.SYcs.LG
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