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