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Rethinking and Extending the Probabilistic Inference Capacity of GNNs

ICLR 2024 · Graph learning › GNN architectures · approach: Weisfeiler-Leman expressivity hierarchies

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Analyzes the expressive power of GNNs from a probabilistic inference perspective, relating GNN capacity to probabilistic graphical model inference rather than WL tests.

Problem

Understanding what GNNs can and cannot learn beyond Weisfeiler-Lehman-based expressiveness analyses.

Approach

Examines GNN expressive power from a probabilistic perspective by establishing a connection between GNNs and probabilistic inference, instead of the WL-test framework used by prior work.

Experimental setup

Builds on: Weisfeiler-Lehman test

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