Update README.md

README.md

@@ -1,3 +1,35 @@
----
-license: cc-by-nc-4.0
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+---
+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.
+
+# 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
+```