one can implement parametric version with the following techniques in pydmd https://github.com/PyDMD/PyDMD/blob/master/pydmd/paramdmd.py reference https://www.researchgate.net/publication/355390780_A_dynamic_mode_decomposition_extension_for_the_forecasting_of_parametric_dynamical_systems/fulltext/616e374db90c51266269e9ec/A-dynamic-mode-decomposition-extension-for-the-forecasting-of-parametric-dynamical-systems.pdf