Add task category and BibTeX citation
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by
nielsr
HF Staff
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README.md
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language:
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---
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<div>
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[](https://arxiv.org/abs/2506.08604)
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## Dynamic Stall dataset
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The design space is defined as a four-dimensional hypercube. The design variables are:
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Each `hdf5` file contains two arrays:
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- `fields` with shape `(conditions, samples per condition, fields, x, y)`
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- `reynolds` with shape `(reynolds numbers, )`
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---
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language:
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- en
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license: mit
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arxiv: 2506.08604
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task_categories:
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- other
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tags:
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- physics
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- pde
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- flow-matching
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- scientific-machine-learning
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---
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# Physics vs Distributions: Pareto Optimal Flow Matching with Physics Constraints
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<div>
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[](https://arxiv.org/abs/2506.08604)
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</div>
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This repository contains the datasets for the **dynamic stall** and **Kolmogorov flow** cases presented in the paper "[Physics vs Distributions: Pareto Optimal Flow Matching with Physics Constraints](https://huggingface.co/papers/2506.08604)".
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## Dynamic Stall dataset
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The design space is defined as a four-dimensional hypercube. The design variables are:
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Each `hdf5` file contains two arrays:
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- `fields` with shape `(conditions, samples per condition, fields, x, y)`
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- `reynolds` with shape `(reynolds numbers, )`
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## Citation
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```bibtex
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@inproceedings{pbfm2026,
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title={Physics vs Distributions: Pareto Optimal Flow Matching with Physics Constraints},
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author={Giacomo Baldan and Qiang Liu and Alberto Guardone and Nils Thuerey},
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booktitle={The Fourteenth International Conference on Learning Representations},
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year={2026},
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url={https://openreview.net/forum?id=tAf1KI3d4X}
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}
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```
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