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---
license: mit
pretty_name: PROSE
---
This is data for :
1. <a href="https://github.com/JingminSun/prose_v1" target="_blank">PROSE-PDE</a> paper: Towards a Foundation Model for Partial Differential Equations: Multi-Operator Learning and Extrapolation.
2. <a href="https://github.com/JingminSun/LeMON_PROSE" target="_blank"> LeMON</a>: Learning to Learn Multi-Operator Networks.
3. <a href="https://github.com/JingminSun/prose_v1" target="_blank">PROSE-SymPy</a>: Time-Series Forecasting, Knowledge Distillation, and Refinement within a Multimodal PDE Foundation Model.
## Citation
If you find our paper and code useful, please consider citing:
```
@article{sun2024towards,
title = {Towards a foundation model for partial differential equations: Multioperator learning and extrapolation},
author = {Sun, Jingmin and Liu, Yuxuan and Zhang, Zecheng and Schaeffer, Hayden},
journal = {Phys. Rev. E},
volume = {111},
issue = {3},
pages = {035304},
numpages = {18},
year = {2025},
month = {Mar},
publisher = {American Physical Society},
doi = {10.1103/PhysRevE.111.035304},
url = {https://link.aps.org/doi/10.1103/PhysRevE.111.035304}
}
```
```
@article{sun2024lemon,
title={Lemon: Learning to learn multi-operator networks},
author={Sun, Jingmin and Zhang, Zecheng and Schaeffer, Hayden},
journal={arXiv preprint arXiv:2408.16168},
year={2024}
}
```
```
@article{jollie2025time,
author = {Derek Jollie and Jingmin Sun and Zecheng Zhang and Hayden Schaeffer},
title = {TIME-SERIES FORECASTING AND REFINEMENT WITHIN A MULTIMODAL PDE FOUNDATION MODEL},
journal = {Journal of Machine Learning for Modeling and Computing},
issn = {2689-3967},
year = {2025},
volume = {6},
number = {2},
pages = {77--89}
}
```
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