The paper "GraphKAN: Enhancing Feature Extraction with Graph Kolmogorov Arnold Networks" by Fan Zhang and Xin Zhang introduces a novel approach to feature extraction in graph neural networks (GNNs) using Kolmogorov-Arnold Networks (KANs). The authors argue that traditional Multi-layer Perceptrons (MLPs) and fixed activation functions in GNNs can lead to information loss and hinder the extraction of complex features. Inspired by KANs, which use spline-based univariate functions instead of linear weights, the paper proposes GraphKAN, a GNN variant that replaces MLPs and activation functions with KANs. This approach aims to enhance the nonlinearity and interpretability of GNNs, making them more effective for graph-like data.
The paper details the architecture of GraphKAN, which includes a message passing framework for node representation, where information is aggregated from neighbors and then processed using KANs for feature extraction. The authors evaluate the effectiveness of GraphKAN through experiments on real-world graph-like temporal signal data for signal classification tasks. The results demonstrate that GraphKAN outperforms traditional GNNs, particularly in scenarios with fewer labeled nodes, indicating its potential for few-shot classification tasks. Additionally, the paper includes clustering comparisons of intermediate features to show that GraphKAN better separates different types of features, enhancing classification accuracy.
The code for GraphKAN is available on GitHub, and the paper provides a comprehensive introduction to the problem, methodology, and experimental validation, highlighting the potential of KANs as a powerful tool for feature extraction in graph-like data.The paper "GraphKAN: Enhancing Feature Extraction with Graph Kolmogorov Arnold Networks" by Fan Zhang and Xin Zhang introduces a novel approach to feature extraction in graph neural networks (GNNs) using Kolmogorov-Arnold Networks (KANs). The authors argue that traditional Multi-layer Perceptrons (MLPs) and fixed activation functions in GNNs can lead to information loss and hinder the extraction of complex features. Inspired by KANs, which use spline-based univariate functions instead of linear weights, the paper proposes GraphKAN, a GNN variant that replaces MLPs and activation functions with KANs. This approach aims to enhance the nonlinearity and interpretability of GNNs, making them more effective for graph-like data.
The paper details the architecture of GraphKAN, which includes a message passing framework for node representation, where information is aggregated from neighbors and then processed using KANs for feature extraction. The authors evaluate the effectiveness of GraphKAN through experiments on real-world graph-like temporal signal data for signal classification tasks. The results demonstrate that GraphKAN outperforms traditional GNNs, particularly in scenarios with fewer labeled nodes, indicating its potential for few-shot classification tasks. Additionally, the paper includes clustering comparisons of intermediate features to show that GraphKAN better separates different types of features, enhancing classification accuracy.
The code for GraphKAN is available on GitHub, and the paper provides a comprehensive introduction to the problem, methodology, and experimental validation, highlighting the potential of KANs as a powerful tool for feature extraction in graph-like data.