Datasets:

ArXiv:
License:

The dataset viewer is not available because its heuristics could not detect any supported data files. You can try uploading some data files, or configuring the data files location manually.

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
Downloads last month
60

Collections including camlab-ethz/Wave-Gauss