Testing an implementation of the uncertainty-penalized Bayesian information criterion (UBIC) here
@article{thanasutives2024adaptive,
author={Thanasutives, Pongpisit and Morita, Takashi and Numao, Masayuki and Fukui, Ken-ichi},
journal={IEEE Access},
title={Adaptive Uncertainty-Penalized Model Selection for Data-Driven PDE Discovery},
year={2024},
volume={12},
pages={13165-13182},
doi={10.1109/ACCESS.2024.3354819}
}