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README.md
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license: cc
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---
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license: cc-by-4.0
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task_categories:
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- graph-ml
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tags:
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- physics
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- high-energy-physics
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- graph-classification
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- gnn
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pretty_name: Graphical Bootstrap Correlator Dataset
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size_categories:
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- 100G<n<1T
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---
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# Graphical Bootstrap Correlator Dataset
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Graph-structured dataset for binary classification of multi-loop Feynman integrals using Graph Neural Networks (GNNs). Each graph represents a denominator structure of a Feynman integral at loop orders 6–12, with the label indicating whether the integral satisfies a specific reduction criterion.
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## Dataset Structure
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```
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graphical-bootstrap-correlator-dataset/
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├── data/
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│ ├── den_graph_data_6.npz # Loop 6 graph data
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│ ├── den_graph_data_7.npz # Loop 7 graph data
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│ ├── den_graph_data_8.npz # Loop 8 graph data
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│ ├── den_graph_data_9.npz # Loop 9 graph data
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│ ├── den_graph_data_10.npz # Loop 10 graph data
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│ ├── den_graph_data_11.npz # Loop 11 graph data
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│ ├── den_graph_data_12.npz # Loop 12 graph data (full)
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│ ├── den_graph_data_12_1.npz # Loop 12 graph data (split 1/20)
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│ │ ...
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│ ├── den_graph_data_12_20.npz # Loop 12 graph data (split 20/20)
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│ ├── features_loop_6/ # Pre-computed node features, loop 6
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│ ├── features_loop_7/ # Pre-computed node features, loop 7
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│ ├── features_loop_8/ # Pre-computed node features, loop 8
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│ ├── features_loop_9/ # Pre-computed node features, loop 9
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│ ├── features_loop_10/ # Pre-computed node features, loop 10
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│ └── features_loop_11/ # Pre-computed node features, loop 11
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├── embeddings/ # Learned graph embeddings from trained models
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├── models/ # Trained GNN model checkpoints (.pt files)
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└── rung_rule/ # Rung rule analysis data (JSON/Parquet)
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```
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## Data Format
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### Graph data (`.npz` files)
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Each `.npz` file contains the full dataset for a given loop order and can be loaded with NumPy:
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```python
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import numpy as np
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data = np.load("data/den_graph_data_10.npz", allow_pickle=True)
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# Keys: depends on the split — typically includes edge arrays and labels
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```
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Labels are binary (0 or 1).
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### Pre-computed node features (`features_loop_N/`)
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Each directory contains `.npy` files with pre-computed node-level features for the corresponding loop order:
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| Category | Features |
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|------------|---------------------------------------------------------------------|
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| Spectral | `eigen_1`–`eigen_3`, `low_eigen_1`–`low_eigen_3` |
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| Structural | `degree`, `closeness`, `betweenness`, `clustering`, `pagerank` |
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| Graphlet | `graphlet_3`, `graphlet_4` |
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| Distance | `spd` (shortest path distances) |
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```python
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import numpy as np
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features = np.load("data/features_loop_10/degree.npy")
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```
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## Usage with ml-correlator
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This dataset is designed for use with the [ML-Correlator](https://github.com/gdian/ML-correlator) training framework:
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```python
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from ml_correlator.graph_builder import create_simple_dataset
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dataset, scaler, feat_dim = create_simple_dataset(
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file_ext='10',
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selected_features=['low_eigen_1', 'degree', 'clustering'],
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normalize=True,
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data_dir='data',
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)
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```
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## Models
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Trained GNN checkpoints in `models/` are compatible with the `ml_correlator.architectures` module. Supported architectures: GIN, GAT, GraphTransformer (hybrid, simple, planar), GAT-GraphTransformer.
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## Rung Rule
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The `rung_rule/` directory contains analysis files used to study the rung rule structure across loop transitions (6→7, 7→8, 8→9, 9→10, 10→11, 11→12).
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## License
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This dataset is released under [CC BY 4.0](https://creativecommons.org/licenses/by/4.0/).
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