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GNNs with ReLU activation are more expressive than bounded activations

A new research paper explores the computational expressiveness of Graph Neural Networks (GNNs) by analyzing a declarative language called MPLang. The study differentiates between GNNs with and without activation functions, demonstrating that bounded activations yield the same expressive power. Notably, the research proves that GNNs utilizing the ReLU activation function are strictly more powerful for numerical queries than those restricted to eventually constant activations when linear layers are present. AI

IMPACT This research clarifies the theoretical expressiveness of GNNs, potentially guiding future model design and evaluation.

RANK_REASON Academic paper published on arXiv detailing theoretical aspects of GNN computation. [lever_c_demoted from research: ic=1 ai=1.0]

Read on arXiv cs.LG →

AI-generated summary · Google Gemini · from 1 sources. How we write summaries →

GNNs with ReLU activation are more expressive than bounded activations

COVERAGE [1]

  1. arXiv cs.LG TIER_1 English(EN) · Pablo Barcel\'o, Floris Geerts, Matthias Lanzinger, Klara Pakhomenko, Jan Van den Bussche ·

    A Logical View of GNN-Style Computation and the Role of Activation Functions

    arXiv:2512.19332v2 Announce Type: replace Abstract: We study the numerical and Boolean expressiveness of MPLang, a declarative language that captures the computation of graph neural networks (GNNs) through linear message passing and activation functions. We begin with A-MPLang, t…