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HNHN: Hypergraph Networks with Hyperedge Neurons

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arxiv 2006.12278 v1 pith:XDV5GSLO submitted 2020-06-22 cs.LG stat.ML

HNHN: Hypergraph Networks with Hyperedge Neurons

classification cs.LG stat.ML
keywords hnhnhypergraphdatasetshyperedgesrealrepresentationworldaccuracy
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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Hypergraphs provide a natural representation for many real world datasets. We propose a novel framework, HNHN, for hypergraph representation learning. HNHN is a hypergraph convolution network with nonlinear activation functions applied to both hypernodes and hyperedges, combined with a normalization scheme that can flexibly adjust the importance of high-cardinality hyperedges and high-degree vertices depending on the dataset. We demonstrate improved performance of HNHN in both classification accuracy and speed on real world datasets when compared to state of the art methods.

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Cited by 5 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. The WidthWall: A Strict Expressivity Hierarchy for Hypergraph Neural Networks

    cs.LG 2026-05 unverdicted novelty 8.0

    Hypergraph neural networks obey a strict expressivity hierarchy indexed by hypertree width, creating a Width Wall that no fixed-depth model, hidden dimension, or training procedure can cross for wider patterns.

  2. Beyond Convolution: Advancing Hypergraph Neural Networks with Hypergraph U-Nets

    cs.LG 2026-06 unverdicted novelty 7.0

    Introduces Hypergraph U-Nets with PHPool and PHUnpool operators derived from hierarchical clustering dendrograms for hypergraph reconstruction, classification, and anomaly detection.

  3. Hypergraph Neural Diffusion: A PDE-Inspired Framework for Hypergraph Message Passing

    cs.LG 2026-04 unverdicted novelty 7.0

    HND models hypergraph feature propagation as an anisotropic diffusion process governed by a continuous-time PDE, discretized into stable neural layers with energy dissipation and boundedness guarantees.

  4. Hypergraph Neural Stochastic Diffusion: An SDE Framework for Uncertainty Estimation

    cs.LG 2026-07 conditional novelty 6.5

    HyperNSD models hypergraph node states as an incidence-aware SDE whose pathwise variability yields competitive uncertainty estimates for OOD and misclassification detection.

  5. Heterophily-Aware Adaptive Knowledge Distillation for Hypergraph Neural Networks

    cs.LG 2026-06 unverdicted novelty 6.0

    HADES adapts knowledge distillation for hypergraph neural networks by using quantified node heterophily as a proxy for teacher reliability, yielding student models that often outperform teachers with up to 12.3x faste...