arXiv Machine Learning By Resul Tugay, Eren Olu\u{g}, Elif Ak, Sule Gunduz Oguducu

GraphK: Variable-Size Graph Generation with Efficient Edge Construction

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GraphK introduces an encoder‑sampler‑decoder framework that generates variable‑size graphs efficiently. It learns permutation‑invariant latent representations and samples new node embeddings via maximum likelihood, enabling both upscaling and downscaling of graph size. Edge construction uses KDTree‑based top‑k neighbor search in latent space, reducing computational cost while capturing graph properties.

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arXiv Machine Learning
Oct 16

Size-Transferability of Graph Transformers with Convolutional Positional Encodings

The paper investigates Graph Transformers (GTs) that use Graph Neural Network (GNN)-based positional encodings. By analyzing GTs through manifold limit models, the authors establish a theoretical link between GTs and Manifold Neural Networks (MNNs), showing that GTs inherit transferability guarantees from their positional encodings. Experiments on standard graph benchmarks confirm that GTs scale comparably to GNNs, and a real‑world shortest‑path estimation task demonstrates their practical efficiency on large terrains.

By Javier Porras-Valenzuela, Zhiyang Wang, Teresa Shang, Yusu Wang, Alejandro Ribeiro
arXiv Machine Learning
1d ago

xVGAE: A Hierarchical Variational Graph Autoencoder for Exchangeable Graphs

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By Daniele Micheletti, Federica Zoe Ricci, Erik B. Sudderth