Although neural operators are widely used in data-driven physical simulations, their training remains computationally expensive. Recent advances address this issue via downstream learning, where a model pretrained on simpler problems is fine-tuned on more complex ones. In this research, we investigate transformer-based neural operators, which have previously been applied only to specific problems, in a more general transfer learning setting. We evaluate their performance across diverse PDE problems, including extrapolation to unseen parameters, incorporation of new variables, and transfer from multi-equation datasets. Our results demonstrate that advanced neural operator architectures can effectively transfer knowledge across PDE problems.
@article{arxiv.2511.10829,
title = {Towards Universal Neural Operators through Multiphysics Pretraining},
author = {Mikhail Masliaev and Dmitry Gusarov and Ilya Markov and Alexander Hvatov},
journal= {arXiv preprint arXiv:2511.10829},
year = {2025}
}
Comments
5 pages, 1 figure, accepted for Machine Learning and the Physical Sciences Workshop, NeurIPS 2025