README.md

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.
These can be downloaded from Zenodo.

For a detailed description of all datasets, please refer to Supplementary Material, Table D.1 of the paper.

---

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].