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Long-Range Graph Wavelet Networks

Created by
  • Haebom

Author

Filippo Guerranti, Fabrizio Forte, Simon Geisler, Stephan G unnemann

Outline

This paper proposes Long-Range Graph Wavelet Networks (LR-GWN) to address the core challenge of long-range interaction modeling in graph machine learning. To overcome the limitations of conventional wavelet-based graph neural networks, which suffer from limited receptive fields and difficulties in long-range information propagation, LR-GWN decomposes wavelet filters into local and global components. Local aggregation uses efficient low-order polynomials, and long-range interactions are captured through flexible spectral-domain parameters, thereby integrating short-range and long-range information flow. Experimental results demonstrate that LR-GWN achieves the highest performance among wavelet-based methods on long-range benchmarks and remains competitive even on short-range datasets.

Takeaways, Limitations

Takeaways:
A novel approach to effectively model long-range interactions using graph wavelets is presented.
Improve efficiency and performance with a hybrid design that decomposes local and global components.
Outperforms existing wavelet-based methods on long-range benchmarks.
Stay competitive even on short-distance datasets
Limitations:
Specific Limitations is not presented in the paper.
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