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