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cs.LG updates on arXiv.org

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Learning Posterior Predictive Distributions for Node Clas...
Jeongwhan Ch · 2026-04-22 · via cs.LG updates on arXiv.org

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Abstract:One of the most challenging problems in graph machine learning is generalizing across graphs with diverse properties. Graph neural networks (GNNs) face a fundamental limitation: they require separate training for each new graph, preventing universal generalization across diverse graph datasets. A critical challenge facing GNNs lies in their reliance on labeled training data for each individual graph, a requirement that hinders the capacity for universal node classification due to the heterogeneity inherent in graphs -- differences in homophily levels, community structures, and feature distributions across datasets. Inspired by the success of large language models (LLMs) that achieve in-context learning through massive-scale pre-training on diverse datasets, we introduce NodePFN. This universal node classification method generalizes to arbitrary graphs without graph-specific training. NodePFN learns posterior predictive distributions (PPDs) by training only on thousands of synthetic graphs generated from carefully designed priors. Our synthetic graph generation covers real-world graphs through the use of random networks with controllable homophily levels and structural causal models for complex feature-label relationships. We develop a dual-branch architecture combining context-query attention mechanisms with local message passing to enable graph-aware in-context learning. Extensive evaluation on 23 benchmarks demonstrates that a single pre-trained NodePFN achieves 71.27 average accuracy. These results validate that universal graph learning patterns can be effectively learned from synthetic priors, establishing a new paradigm for generalization in node classification.
Comments: Accepted to ICLR 2026. OpenReview: this https URL
Subjects: Machine Learning (cs.LG)
Cite as: arXiv:2604.19028 [cs.LG]
  (or arXiv:2604.19028v1 [cs.LG] for this version)
  https://doi.org/10.48550/arXiv.2604.19028

arXiv-issued DOI via DataCite (pending registration)

Submission history

From: Jeongwhan Choi [view email]
[v1] Tue, 21 Apr 2026 03:23:34 UTC (850 KB)