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Short Description

This dataset comprises trajectories of the Allen-Cahn equation, see https://arxiv.org/abs/2405.19101.

Dimensions

The assembled NetCDF file has a single variable called solution with dimensionality

  • 15000 (number of trajectories)
  • 20 (time steps)
  • 128 (x-dim)
  • 128 (y-dim)

It was simulated on the unit square up to T=0.0002 and saved as uniformly spaced in space and time.

Train/Val/Test-split

14700/60/240 trajectories

Download & Assembly

The dataset can be downloaded, e.g., via huggingface-cli download.

After download, the chunked data can be assembled into a single NetCDF file using the provided assemble_data.py script. Use it as follows:

python assemble_data.py --input_dir . --output_file ACE.nc
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