metadata

license: cc-by-nc-4.0

Short Description

Based on the wave equation, this dataset contains trajectories starting from intial conditions as a sum of Gaussians that are propagated by the spatially varying wave speed that is also a sum of Gaussians, see https://arxiv.org/abs/2405.19101.

Dimensions

The assembled NetCDF file has two variables. The first is called solution with dimensionality

10512 (number of trajectories)
15 (time steps)
128 (x-dim)
128 (y-dim) The second variable is called c with dimensionality
10512 (number of trajectories)
128 (x-dim)
128 (y-dim)

It was simulated on the unit square up to T=1 and saved as uniformly spaced in space and time.

Train/Val/Test-split

10212/60/240 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 Wave-Gauss.nc