arXiv AI By Gianluca Peri, Diego Febbe, Duccio Fanelli

Spectral Higher-Order Neural Networks Have Sharp Expressivity Bounds

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arXiv:2607. 19042v1 Announce Type: cross Abstract: Neural hypergraphs are a natural generalization of neural networks, the reference models in modern machine learning.

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arXiv Machine Learning
Jun 16

Graph Learning Should Move Beyond Restrictive Views of Spectral and Message-Passing GNNs

arXiv:2602. 10031v2 Announce Type: replace Abstract: Graph neural networks (GNNs) are commonly divided into message-passing neural networks (MPNNs) and spectral GNNs, reflecting two largely separate research traditions in machine learning and signal processing.

By Antonis Vasileiou, Juan Cervino, Pascal Frossard, Charilaos I. Kanatsoulis, Christopher Morris, Michael T. Schaub, Pierre Vandergheynst, Zhiyang Wang, Guy Wolf, Ron Levie
arXiv Machine Learning
6d ago

TESLA: Taylor Expansion of Sinusoidal Learnable Activations

arXiv:2608. 11970v1 Announce Type: new Abstract: The parity problem--deciding whether the number of ones in a binary vector is odd or even--remains challenging for standard neural networks due to linear inseparability and the need for global interactions.

By Daehwa Ko, Jaehyeon Kim, Seunghyun Ham, Jay Hoon Jung