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Graph neural networks lack continuity across resolutions, study finds

Researchers have demonstrated that graph neural networks (GNNs) are not consistently continuous across different graph resolutions. This lack of continuity can lead to significantly different latent representations for similar graphs, particularly when representing the same object at varying scales. The issue stems from information-propagation schemes, and the paper proposes a modification to GNN architectures to ensure continuity and improve generalization across resolutions. AI

IMPACT This research highlights a fundamental limitation in GNNs, potentially impacting their reliability in applications that involve multi-resolution data.

RANK_REASON The cluster contains an academic paper detailing theoretical findings and proposed modifications to existing models.

Read on arXiv cs.LG →

AI-generated summary · Google Gemini · from 2 sources. How we write summaries →

COVERAGE [2]

  1. arXiv cs.LG TIER_1 English(EN) · Christian Koke, Yuesong Shen, Abhishek Saroha, Marvin Eisenberger, Bastian Rieck, Michael Bronstein, Daniel Cremers ·

    Graph Neural Networks Are Not Continuous Across Graph Resolutions

    arXiv:2605.31315v1 Announce Type: new Abstract: We show that contrary to conventional wisdom in the community, graph neural networks (GNNs) are not continuous with respect to all natural modes of graph convergence. As a result, GNNs may generate substantially different latent rep…

  2. arXiv cs.LG TIER_1 English(EN) · Daniel Cremers ·

    Graph Neural Networks Are Not Continuous Across Graph Resolutions

    We show that contrary to conventional wisdom in the community, graph neural networks (GNNs) are not continuous with respect to all natural modes of graph convergence. As a result, GNNs may generate substantially different latent representations for graphs that are very similar. I…