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  # email-Enron
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- email-Enron is an undirected hypergraph built from the Enron email corpus, designed for higher-order network / hypergraph machine learning. In email communication, a single message can involve more than two people; this dataset captures that group interaction by modeling each email as a hyperedge connecting the sender and all recipients, while nodes represent Enron email addresses (restricted to a core set of employees).
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- The hypergraph is stored in HIF (Hypergraph Interchange Format) as a JSON object, following the schema used to exchange higher-order network data across tools. Concretely, the dataset provides the canonical HIF fields—network-type, metadata, nodes, edges, and incidences—so you can reconstruct the full incidence structure without additional processing.
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  In addition to the raw hypergraph topology, vector features are provided for both nodes and hyperedges (in their attribute dictionaries), enabling out-of-the-box experimentation with representation learning and downstream tasks:
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- Spectral features: eigenvectors of the (hypergraph) Laplacian (computed via sparse eigensolvers).
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- Node2Vec embeddings: random-walk–based structural embeddings.
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- VilLain embeddings: self-supervised hypergraph representation learning via virtual label propagation.
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  Basic statistics (as packaged here): 143 nodes, 1,512 hyperedges, 1 connected component.
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  # email-Enron
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+ email-Enron is an undirected hypergraph built from the Enron email corpus, designed for higher-order network / hypergraph machine learning. In email communication, a single message can involve more than two people; this dataset captures that group interaction by modeling each email as a hyperedge connecting the sender and all recipients, while nodes represent Enron email addresses (restricted to a core set of employees).
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  <div align="center">
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  <table>
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  <tbody>
 
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  </table>
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  </div>
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+ The hypergraph is stored in HIF (Hypergraph Interchange Format) as a JSON object, following the schema used to exchange higher-order network data across tools. Concretely, the dataset provides the canonical HIF fields-network-type, metadata, nodes, edges, and incidences-so you can reconstruct the full incidence structure without additional processing.
 
 
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  In addition to the raw hypergraph topology, vector features are provided for both nodes and hyperedges (in their attribute dictionaries), enabling out-of-the-box experimentation with representation learning and downstream tasks:
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+ - Spectral features: eigenvectors of the (hypergraph) Laplacian (computed via sparse eigensolvers).
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+ - Node2Vec embeddings: random-walk–based structural embeddings.
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+ - VilLain embeddings: self-supervised hypergraph representation learning via virtual label propagation.
 
 
 
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  Basic statistics (as packaged here): 143 nodes, 1,512 hyperedges, 1 connected component.
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