Update README.md (#2)

- Update README.md (cbec350992e9e37af1c6c49b1eaec6f3511d2e06)


Co-authored-by: Christian Nauck <[email protected]>

README.md

@@ -22,18 +22,17 @@ task_categories:
 ---
 
 # 📚 Overview: Kuramoto-Stability-Landscape (KSL)
-
-The dataset contains synthetic oscillator network topologies generated from the **second-order Kuramoto model**, widely used to analyze synchronization dynamics in complex systems like power grids and neuronal networks.
+The dataset consists of synthetic oscillator network topologies created using a random growth algorithm. Dynamical simulations are conducted by applying the **second-order Kuramoto model** to the nodes. This model is widely recognized for its effectiveness in analyzing synchronization dynamics in complex systems such as power grids and neuronal networks.
 
 Two ensembles are included, each containing **10,000 unique network topologies**:
 
 - **`dataset20`**: Networks consisting of **20 nodes** each.
 - **`dataset100`**: Networks consisting of **100 nodes** each.
 
-Each topology is associated with SNBS heatmaps, providing detailed spatial stability information per node.
+Each topology is associated with single-node basin stability (SNBS) heatmaps, providing detailed spatial stability information per node.
 
 ---
-## 🗃️ Data Structure and Content
+## 🗃️ Data Structure and Content of Targets
 
 The archive **`num_sections_20.tar`** contains two main directories within a single compressed `.tar` file:
 
@@ -76,6 +75,19 @@ Each `.h5` file represents one unique oscillator network and includes:
   Each file contains **200 heatmaps** (`100 basin_heatmap_X` + `100 samples_heatmap_X`).
 
 ---
+## Data Structure and Content of Inputs
+
+- **`node_features`** (input node features):
+  - injected power at each node {-1,1}
+  - Shape: `(num_nodes, 1)`
+
+- **`edge_index`** (adjacency matrix):
+  - encoding of the topology
+  - Shape: `(2, num_edges)`
+
+- **`edge_attr`** (edge feautres):
+  - homogeneous edge features (value = 9.0)
+  - Shape: `(num_Edges, 1) 
 
 ## 🚀 Intended Tasks