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Are Targeted Messages More Effective?

Proceedings - Symposium on Logic in Computer Science, pp. 1–14

Abstract

Graph neural networks (GNN) are deep learning architectures for graphs. Essentially, a GNN is a distributed message passing algorithm, which is controlled by parameters learned from data. It operates on the vertices of a graph: in each iteration, vertices receive a message on each incoming edge, aggregate these messages, and then update their state based on their current state and the aggregated messages. The expressivity of GNNs can be characterised in terms of certain fragments of first-order logic with counting and the Weisfeiler-Lehman algorithm.

Authors 2

  1. Martin Grohe Aachen

    RWTH Aachen University

    Affiliation as printed

    RWTH Aachen University, Aachen, Germany

  2. RWTH Aachen University

    Affiliation as printed

    RWTH Aachen University, Aachen, Germany

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References 32