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Paper · arXiv

Distance-Preserving Embeddings in Inhomogeneous Random Graphs

Graph machine learning provides powerful tools for understanding complex networks and learning meaningful node representations. A central challenge, however, is designing embeddings with minimal distortion of both local and global functionals, such as shortest path lengths. Prior distortion guarantees for distance-preserving embeddings are worst-case in nature, producing overly pessimistic bounds that fail to capture the structure of typical large-scale networks. To address this, we analyze shortest-path approximation via landmark-based embeddings on inhomogeneous random graphs, a general model with type-dependent edge probabilities. By retaining shortest paths to a small set of reference...

AuthorsMy Le, Luana Ruiz, Souvik Dhara
Primary categorycs.LG
Published11 July 2026
Last updated at source11 July 2026
cs.LG
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