---
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:
```bash
python assemble_data.py --input_dir . --output_file Wave-Gauss.nc
```