Sketch-Augmented Features Improve Learning Long-Range Dependencies in Graph Neural Networks
- URL: http://arxiv.org/abs/2511.03824v1
- Date: Wed, 05 Nov 2025 19:41:56 GMT
- Title: Sketch-Augmented Features Improve Learning Long-Range Dependencies in Graph Neural Networks
- Authors: Ryien Hosseini, Filippo Simini, Venkatram Vishwanath, Rebecca Willett, Henry Hoffmann,
- Abstract summary: Graph Neural Networks learn on graph-structured data by iteratively aggregating local neighborhood information.<n>In this work we inject randomized global embeddings of node features into standard GNNs, enabling them to efficiently capture long-range dependencies.<n> Experimental results on real-world graph learning tasks confirm that this strategy consistently improves performance over baseline GNNs.
- Score: 16.5175121704107
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Graph Neural Networks learn on graph-structured data by iteratively aggregating local neighborhood information. While this local message passing paradigm imparts a powerful inductive bias and exploits graph sparsity, it also yields three key challenges: (i) oversquashing of long-range information, (ii) oversmoothing of node representations, and (iii) limited expressive power. In this work we inject randomized global embeddings of node features, which we term \textit{Sketched Random Features}, into standard GNNs, enabling them to efficiently capture long-range dependencies. The embeddings are unique, distance-sensitive, and topology-agnostic -- properties which we analytically and empirically show alleviate the aforementioned limitations when injected into GNNs. Experimental results on real-world graph learning tasks confirm that this strategy consistently improves performance over baseline GNNs, offering both a standalone solution and a complementary enhancement to existing techniques such as graph positional encodings. Our source code is available at \href{https://github.com/ryienh/sketched-random-features}{https://github.com/ryienh/sketched-random-features}.
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