Details zur Publikation

Kategorie Textpublikation
Referenztyp Zeitschriften
DOI 10.1038/s44387-026-00085-3
Lizenz creative commons licence
Titel (primär) DeepKoopFormer: a Koopman enhanced transformer based architecture for time series forecasting
Autor Forootani, A.; Khosravi, M.; Barati, M.
Quelle npj Artificial Intelligence
Erscheinungsjahr 2026
Department SANA
Band/Volume 2
Seite von art. 35
Sprache englisch
Topic T5 Future Landscapes
Daten-/Softwarelinks https://doi.org/10.5281/zenodo.15826887
https://doi.org/10.5281/zenodo.15828000
https://doi.org/10.5281/zenodo.17764240
Abstract Time series forecasting plays a vital role across scientific, industrial, and environmental domains, especially when dealing with high-dimensional and nonlinear systems. While Transformer models have recently achieved state-of-the-art performance in long-range forecasting, they often suffer from interpretability issues and instability in the presence of noise or dynamical uncertainty. We propose DeepKoopFormer, a forecasting framework that combines Transformer-based sequence modeling with Koopman-inspired latent linear dynamics to improve stability, interpretability, and long-horizon robustness. Our model features a modular encoder–propagator–decoder structure, where temporal dynamics are learned via a spectrally constrained, linear Koopman-inspired propagator in a latent space. We impose structural guarantees—i.e., bounded spectral radius, Lyapunov-based energy regularization, and orthogonal parameterization—to ensure stability and interpretability. Comprehensive evaluations are conducted on dynamical systems, climate dataset, financial time series, and electricity generation dataset using the Python package that is prepared for this purpose. Across all experiments, DeepKoopFormer consistently outperforms standard LSTM and baseline Transformer models in terms of accuracy, robustness to noise, and long-term forecasting stability. These results establish DeepKoopFormer as a flexible, interpretable, and robust framework for forecasting in high-dimensional and dynamical settings.
Forootani, A., Khosravi, M., Barati, M. (2026):
DeepKoopFormer: a Koopman enhanced transformer based architecture for time series forecasting
npj Artificial Intelligence 2 , art. 35
10.1038/s44387-026-00085-3