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  # NDC-classes
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- Some basic statistics of this dataset are:
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-
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- - Number of nodes 1,161
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- - Number of hyperedges 1,222
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- - Number of connected components 183
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- - Largest Connected Component Ratio 0.540913006029285
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  ```
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  @article{Benson-2018-simplicial,
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  author = {Benson, Austin R. and Abebe, Rediet and Schaub, Michael T. and Jadbabaie, Ali and Kleinberg, Jon},
 
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  # NDC-classes
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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): 1,161 nodes, 1,222 hyperedges, 183 connected component (Largest Connected Component Ratio 0.540913006029285).
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  ```
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  @article{Benson-2018-simplicial,
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  author = {Benson, Austin R. and Abebe, Rediet and Schaub, Michael T. and Jadbabaie, Ali and Kleinberg, Jon},