Datasets_for_GAOT / README.md
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# Datasets of GAOT
This repository contains the datasets used in the paper
**"Geometry Aware Operator Transformer as an Efficient and Accurate Neural Surrogate for PDEs on Arbitrary Domains."**
The repository includes two subfolders:
- `time_dep/` — time-dependent datasets
- `time_indep/` — time-independent datasets
In addition, some datasets used in the paper are provided by [RIGNO](https://arxiv.org/pdf/2501.19205).
These can be downloaded from [Zenodo](https://zenodo.org/records/14765453).
For a detailed description of all datasets, please refer to **Supplementary Material, Table D.1** of the paper.
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### Data Structure
Each file contains either two or three groups:
- **u**: the vector-valued solution function
- **c**: the vector-valued known spatial parameters (constant in time)
- **x**: the spatial coordinates in all directions (e.g., *x* and *y*)
All arrays are 4-dimensional with the following axis order: `[batch, time, space, variables]`.