Graph Neural Networks and Structural Understanding

The field of graph neural networks (GNNs) is moving towards improving their performance and robustness on real-world graph data. Researchers are exploring innovative methods to leverage classical algorithms and vision models to enhance the capabilities of GNNs. The integration of classical algorithmic priors into GNNs has shown promising results, while vision models have demonstrated remarkable potential for graph structural understanding, particularly in tasks requiring global topological awareness and scale-invariant reasoning. Furthermore, advancements in graph learning, pruning, and quantization are enabling the application of GNNs to larger and more complex graphs. Noteworthy papers include: Leveraging Classical Algorithms for Graph Neural Networks, which demonstrates the effectiveness of pretraining GNNs on classical algorithms for molecular property prediction tasks. The Underappreciated Power of Vision Models for Graph Structural Understanding, which introduces a new benchmark, GraphAbstract, to evaluate models' ability to perceive global graph properties and shows that vision models outperform GNNs on tasks requiring holistic structural understanding.

Sources

Leveraging Classical Algorithms for Graph Neural Networks

Deep Learning on Real-World Graphs

Pruning and Quantization Impact on Graph Neural Networks

Toward Robust Signed Graph Learning through Joint Input-Target Denoising

Faster Negative-Weight Shortest Paths and Directed Low-Diameter Decompositions

The Underappreciated Power of Vision Models for Graph Structural Understanding

Reviving Thorup's Shortcut Conjecture

Identifying Kronecker product factorizations

Signed Graph Unlearning

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