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ReLU-MPLang proves strictly more powerful than trReLU-MPLang for Boolean queries

Researchers have demonstrated that ReLU-MPLang is strictly more powerful than trReLU-MPLang for expressing Boolean queries on graphs with single Boolean node features. This finding settles an open problem regarding the expressiveness of different activation functions in graph neural networks. The study implies that ReLU-GNNs possess greater expressive capabilities than {TrReLU,id}-GNNs in this specific context. AI

IMPACT Clarifies theoretical expressiveness limits of certain graph neural network architectures.

RANK_REASON Academic paper published on arXiv detailing theoretical findings about the expressiveness of different activation functions in graph neural networks. [lever_c_demoted from research: ic=1 ai=1.0]

Read on arXiv cs.LG →

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ReLU-MPLang proves strictly more powerful than trReLU-MPLang for Boolean queries

COVERAGE [1]

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

    The Boolean Power of ReLU

    arXiv:2608.12617v1 Announce Type: new Abstract: We prove that, on finite simple undirected graphs equipped with a single Boolean node feature, the Boolean queries expressible in $\Sigma$-MPLang, for any collection $\Sigma$ of eventually constant activation functions and with arbi…