Parameter-Free Hypergraph Neural Network for Few-Shot Node Classification

Fuente: arXiv
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Hauptverfasser: Bae, Chaewoon, Choi, Doyun, Lee, Jaehyun, Yoo, Jaemin
Format: Preprint
Veröffentlicht: 2025
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author Bae, Chaewoon
Choi, Doyun
Lee, Jaehyun
Yoo, Jaemin
author_facet Bae, Chaewoon
Choi, Doyun
Lee, Jaehyun
Yoo, Jaemin
contents Few-shot node classification on hypergraphs requires models that generalize from scarce labels while capturing high-order structures. Existing hypergraph neural networks (HNNs) effectively encode such structures but often suffer from overfitting and scalability issues due to complex, black-box architectures. In this work, we propose ZEN (Zero-Parameter Hypergraph Neural Network), a fully linear and parameter-free model that achieves both expressiveness and efficiency. Built upon a unified formulation of linearized HNNs, ZEN introduces a tractable closed-form solution for the weight matrix and a redundancy-aware propagation scheme to avoid iterative training and to eliminate redundant self information. On 11 real-world hypergraph benchmarks, ZEN consistently outperforms eight baseline models in classification accuracy while achieving up to 696x speedups over the fastest competitor. Moreover, the decision process of ZEN is fully interpretable, providing insights into the characteristic of a dataset. Our code and datasets are fully available at https://github.com/chaewoonbae/ZEN.
format Preprint
id arxiv_https___arxiv_org_abs_2510_21462
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Parameter-Free Hypergraph Neural Network for Few-Shot Node Classification
Bae, Chaewoon
Choi, Doyun
Lee, Jaehyun
Yoo, Jaemin
Machine Learning
Few-shot node classification on hypergraphs requires models that generalize from scarce labels while capturing high-order structures. Existing hypergraph neural networks (HNNs) effectively encode such structures but often suffer from overfitting and scalability issues due to complex, black-box architectures. In this work, we propose ZEN (Zero-Parameter Hypergraph Neural Network), a fully linear and parameter-free model that achieves both expressiveness and efficiency. Built upon a unified formulation of linearized HNNs, ZEN introduces a tractable closed-form solution for the weight matrix and a redundancy-aware propagation scheme to avoid iterative training and to eliminate redundant self information. On 11 real-world hypergraph benchmarks, ZEN consistently outperforms eight baseline models in classification accuracy while achieving up to 696x speedups over the fastest competitor. Moreover, the decision process of ZEN is fully interpretable, providing insights into the characteristic of a dataset. Our code and datasets are fully available at https://github.com/chaewoonbae/ZEN.
title Parameter-Free Hypergraph Neural Network for Few-Shot Node Classification
topic Machine Learning
url https://arxiv.org/abs/2510.21462